A
MAZE
IN
ZAZAZA ENTER AZAZAZ
AZAZAZAZAZAZAZZAZAZAZAZAZAZA
ZAZAZAZAZAZAZAZAZAAZAZAZAZAZAZAZAZAZ
THE
MAGICALALPHABET
ABCDEFGHIJKLMNOPQRSTUVWXYZZYXWVUTSRQPONMLKJIHGFEDCBA
12345678910111213141516171819202122232425262625242322212019181716151413121110987654321
WORK DAYS OF GOD
Herbert W Morris D.D.circa 1883
Page 22
"As all the words in the English language are composed out of the twenty-six letters of the alphabet,.."
LIGHT AND LIFE
Lars Olof Bjorn 1976
Page 197
"By writing the 26 letters of the alphabet in a certain order one may put down almost any message (this book 'is written with the same letters' as the Encyclopaedia Britannica and Winnie the Pooh, only the order of the letters differs). In the same way Nature is able to convey with her language how a cell and a whole organism is to be constructed and how it is to function. Nature has succeeded better than we humans; for the genetic code there is only one universal language which is the same in a man, a bean plant and a bacterium."
"BY WRITING THE 26 LETTERS OF THE ALPHABET IN A CERTAIN ORDER
ONE MAY PUT DOWN ALMOST ANY MESSAGE"
A |
B |
C |
D |
E |
F |
G |
H |
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
1+0 |
1+1 |
1+2 |
1+3 |
1+4 |
1+5 |
1+6 |
1+7 |
1+8 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
S |
T |
U |
V |
W |
X |
Y |
Z |
I |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
9 |
1+9 |
2+0 |
2+1 |
2+2 |
2+3 |
2+4 |
2+5 |
2+6 |
ME |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
= |
I |
ME |
I |
ME |
I |
ME |
I |
ME |
I |
9 |
18 |
9 |
18 |
9 |
18 |
9 |
18 |
9 |
= |
1+8 |
= |
1+8 |
= |
1+8 |
= |
1+8 |
= |
= |
9 |
= |
9 |
= |
9 |
= |
9 |
= |
I |
ME |
I |
ME |
I |
ME |
I |
ME |
1 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
I |
ME |
I |
ME |
I |
ME |
I |
ME |
1 |
"BY WRITING THE 26 LETTERS OF THE
ALPHABET IN A CERTAIN ORDER
ONE MAY PUT DOWN ALMOST ANY MESSAGE"
A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
S |
T |
U |
V |
W |
X |
Y |
Z |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
1+0 |
1+1 |
1+2 |
1+3 |
1+4 |
1+5 |
1+6 |
1+7 |
1+8 |
1+9 |
2+0 |
2+1 |
2+2 |
2+3 |
2+4 |
2+5 |
2+6 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
S |
T |
U |
V |
W |
X |
Y |
Z |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
S |
T |
U |
V |
W |
X |
Y |
Z |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
S |
T |
U |
V |
W |
X |
Y |
Z |
A
HISTORY OF GOD
Karen Armstrong 1993
The God of the Mystics
Page 250
"Perhaps the most famous of the early Jewish mystical texts is the fifth century Sefer Yezirah (The Book of Creation). There is no attempt to describe the creative process realistically;
the account is unashamedly symbolic and shows God creating the world by means of language as though he were writing a book. But language has been entirely transformed and the message of creation is no longer clear. Each letter of the Hebrew alphabet is given a numerical value; by
combining the letters with the sacred numbers, rearranging them in
endless configurations, the mystic weaned his mind away from the normal connotations of words."
THIS IS THE SCENE OF THE SCENE UNSEEN
THE UNSEEN SEEN OF THE SCENE UNSEEN THIS IS THE SCENE
3 |
THE |
33 |
15 |
6 |
4 |
MIND |
40 |
22 |
4 |
2 |
OF |
21 |
12 |
3 |
9 |
HUMANKIND |
95 |
41 |
5 |
18 |
First Total |
|
|
|
1+8 |
Add to Reduce |
1+8+9 |
9+0 |
1+8 |
9 |
Second Total |
|
|
|
|
Reduce to Deduce |
1+8 |
- |
- |
|
Essence of Number |
|
|
|
THE
FAR YONDER SCRIBE
AND OFT TIMES SHADOWED SUBSTANCES WATCHED IN FINE AMAZE
THE
ZED ALIZ ZED
IN
SWIFT REPEAT SCATTER STAR DUST AMONGST THE LETTERS OF THEIR PROGRESS
NUMBER
9
THE SEARCH FOR THE SIGMA CODE
Cecil Balmond 1998
Cycles and Patterns
Page 165
Patterns
"The essence of mathematics is to look for patterns.
Our minds seem to be organised to search for relationships and sequences. We look for hidden orders.
These intuitions seem to be more important than the facts themselves, for there is always the thrill at finding something, a pattern, it is a discovery - what was unknown is now revealed. Imagine looking up at the stars and finding the zodiac!
Searching out patterns is a pure delight.
Suddenly the counters fall into place and a connection is found, not necessarily a geometric one, but a relationship between numbers, pictures of the mind, that were not obvious before. There is that excitement of finding order in something that was otherwise hidden.
And there is the knowledge that a huge unseen world lurks behind the facades we see of the numbers themselves."
FINGERPRINTS OF THE GODS
A QUEST FOR THE BEGINNING AND THE END
Graham Hancock 1995
Chapter 32
Speaking to the Unborn
Page 285
"It is understandable that a huge range of myths from all over the ancient world should describe geological catastrophes in graphic detail. Mankind survived the horror of the last Ice Age, and the most plausible source for our enduring traditions of flooding and freezing, massive volcanism and devastating earthquakes is in the tumultuous upheavals unleashed during the great meltdown of 15,000 to 8000 BC. The final retreat of the ice sheets, and the consequent 300-400 foot rise in global sea levels, took place only a few thousand years before the beginning of the historical period. It is therefore not surprising that all our early civilizations should have retained vivid memories of the vast cataclysms that had terrified their forefathers.
Much harder to explain is the peculiar but distinctive way the myths of cataclysm seem to bear the intelligent imprint of a guiding hand.l Indeed the degree of convergence between such ancient stories is frequently remarkable enough to raise the suspicion that they must all have been 'written' by the same 'author'.
Could that author have had anything to do with the wondrous deity, or superhuman, spoken of in so many of the myths we have reviewed, who appears immediately after the world has been shattered by a horrifying geological catastrophe and brings comfort and the gifts of civilization to the shocked and demoralized survivors?
White and bearded, Osiris is the Egyptian manifestation of this / Page 286 /
universal figure, and it may not be an accident that one of the first acts he is remembered for in myth is the abolition of cannibalism among the primitive inhabitants of the Nile Valley.2 Viracocha, in South America, was said to have begun his civilizing mission immediately after a great flood; Quetzalcoatl, the discoverer of maize, brought the benefits of crops, mathematics, astronomy and a refined culture to Mexico after the Fourth Sun had been overwhelmed by a destroying deluge.
Could these strange myths contain a record of encounters between scattered palaeolithic tribes which survived the last Ice Age and an as yet unidentified high civilization which passed through the same epoch?
And could the myths be attempts to communicate?
A message in the bottle of time"
'Of all the other stupendous inventions,' Galileo once remarked,
what sublimity of mind must have been his who conceived how to communicate his most secret thoughts to any other person, though very distant either in time or place, speaking with those who are in the Indies, speaking to those who are not yet born, nor shall be this thousand or ten thousand years? And with no greater difficulty than the various arrangements of two dozen little signs on paper? Let this be the seal of all the admirable inventions of men.3
If the 'precessional message' identified by scholars like Santillana, von Dechend and Jane Sellers is indeed a deliberate attempt at communication by some lost civilization of antiquity, how come it wasn't just written down and left for us to find? Wouldn't that have been easier than encoding it in myths? Perhaps.
Nevertheless, suppose that whatever the message was written on got destroyed or worn away after many thousands of years? Or suppose that the language in which it was inscribed was later forgotten utterly (like the enigmatic Indus Valley script, which has been studied closely for more than half a century but has so far resisted all attempts at decoding)? It must be obvious that in such circumstances a written / Page 287 / legacy to the future would be of no value at all, because nobody would be able to make sense of it.
What one would look for, therefore, would be a universal language, the kind of language that would be comprehensible to any technologically advanced society in any epoch, even a thousand or ten thousand years into the future. Such languages are few and far between, but mathematics is one of them - and the city of Teotihuacan may be the calling-card of a lost civilization written in the eternal language of mathematics.
Geodetic data, related to the exact positioning of fixed geographical points and to the shape and size of the earth, would also remain valid and recognizable for tens of thousands of years, and might be most conveniently expressed by means of cartography (or in the construction of giant geodetic monuments like the Great Pyramid of Egypt, as
we shall see).
Another 'constant' in our solar system is the language of time: the great but regular intervals of time calibrated by the inch-worm creep of precessional motion. Now, or ten thousand years in the future, a message that prints out numbers like 72 or 2160 or 4320 or 25,920 should be instantly intelligible to any civilization that has evolved a modest talent for mathematics and the ability to detect and measure the almost imperceptible reverse wobble that the sun appears to make along the ecliptic against the background of the fixed stars..."
"What one would look for, therefore, would be a universal language, the kind of language that would be comprehensible to any technologically advanced society in any epoch, even a thousand or ten thousand years into the future. Such languages are few and far between, but mathematics is one of them"
"WRITTEN IN THE ETERNAL LANGUAGE OF MATHEMATICS"
THE LIGHT IS RISING NOW RISING IS THE LIGHT
I |
= |
9 |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
S |
= |
1 |
- |
3 |
SEE |
29 |
11 |
2 |
- |
|
I |
= |
9 |
- |
2 |
IT |
29 |
11 |
2 |
- |
2 |
A |
= |
1 |
- |
3 |
ALL |
25 |
7 |
7 |
- |
7 |
N |
= |
5 |
- |
3 |
NOW |
52 |
16 |
7 |
- |
7 |
S |
= |
1 |
- |
4 |
SAID |
33 |
15 |
6 |
- |
6 |
T |
= |
2 |
- |
3 |
THE |
33 |
15 |
6 |
- |
6 |
B |
= |
2 |
- |
5 |
BLIND |
41 |
23 |
5 |
- |
- |
M |
= |
4 |
- |
3 |
MAN |
28 |
10 |
1 |
- |
- |
- |
- |
34 |
|
27 |
First |
|
|
|
|
30 |
- |
- |
3+4 |
- |
2+7 |
Add |
2+7+9 |
1+1+7 |
4+5 |
- |
3+0 |
- |
- |
7 |
- |
|
Second |
|
|
|
- |
|
- |
- |
- |
- |
- |
Reduce |
1+8 |
- |
- |
- |
- |
- |
- |
|
- |
|
Essence |
|
|
|
- |
|
W |
= |
5 |
- |
4 |
WHAT |
52 |
16 |
7 |
O |
= |
6 |
- |
3 |
ONE |
34 |
16 |
7 |
W |
= |
5 |
- |
5 |
WOULD |
75 |
21 |
3 |
L |
= |
3 |
- |
4 |
LOOK |
53 |
17 |
8 |
F |
= |
6 |
- |
3 |
FOR |
30 |
21 |
3 |
T |
= |
2 |
- |
9 |
THEREFORE |
100 |
46 |
1 |
W |
= |
5 |
- |
5 |
WOULD |
75 |
21 |
3 |
B |
= |
2 |
- |
2 |
BE |
7 |
7 |
7 |
A |
= |
1 |
- |
1 |
A |
1 |
1 |
1 |
U |
= |
3 |
- |
9 |
UNIVERSAL |
121 |
40 |
4 |
L |
= |
3 |
- |
8 |
LANGUAGE |
68 |
32 |
5 |
- |
- |
41 |
|
53 |
First Total |
|
|
|
- |
- |
4+1 |
- |
5+3 |
Add to Reduce |
6+1+6 |
2+3+8 |
4+9 |
- |
- |
5 |
- |
8 |
Second Total |
|
|
|
- |
- |
- |
- |
- |
Reduce to Deduce |
1+3 |
1+3 |
1+3 |
- |
- |
|
- |
|
Essence of Number |
|
|
|
T |
= |
2 |
- |
3 |
THE |
33 |
15 |
6 |
K |
= |
2 |
- |
4 |
KIND |
38 |
20 |
2 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
L |
= |
3 |
- |
8 |
LANGUAGE |
68 |
32 |
5 |
T |
= |
2 |
- |
4 |
THAT |
49 |
13 |
4 |
W |
= |
5 |
- |
5 |
WOULD |
75 |
21 |
3 |
B |
= |
2 |
- |
2 |
BE |
7 |
7 |
7 |
C |
= |
3 |
- |
14 |
COMPREHENSIBLE |
144 |
72 |
9 |
T |
= |
2 |
- |
2 |
TO |
35 |
8 |
8 |
A |
= |
1 |
- |
3 |
ANY |
40 |
13 |
4 |
T |
= |
2 |
- |
15 |
TECHNOLOGICALLY |
161 |
71 |
8 |
A |
= |
1 |
- |
2 |
ADVANCED |
54 |
27 |
9 |
S |
= |
1 |
- |
7 |
SOCIETY |
96 |
33 |
6 |
I |
= |
9 |
- |
2 |
IN |
23 |
14 |
5 |
A |
= |
1 |
- |
3 |
ANY |
40 |
13 |
4 |
E |
= |
5 |
- |
5 |
EPOCH |
47 |
29 |
2 |
- |
- |
47 |
|
81 |
First Total |
|
|
|
- |
- |
4+7 |
- |
8+1 |
Add to Reduce |
9+3+1 |
4+0+0 |
8+5 |
- |
- |
11 |
- |
|
Second Total |
|
|
|
- |
- |
1+5 |
- |
- |
Reduce to Deduce |
1+3 |
- |
1+3 |
- |
- |
|
- |
|
Essence of Number |
|
|
|
S |
= |
1 |
- |
4 |
SUCH |
51 |
15 |
6 |
L |
= |
3 |
- |
9 |
LANGUAGES |
87 |
33 |
6 |
A |
= |
1 |
- |
3 |
ARE |
24 |
15 |
6 |
F |
= |
6 |
- |
3 |
FEW |
34 |
16 |
7 |
A |
= |
1 |
- |
3 |
AND |
19 |
10 |
1 |
F |
= |
6 |
- |
3 |
FAR |
25 |
16 |
7 |
B |
= |
2 |
- |
7 |
BETWEEN |
74 |
29 |
2 |
B |
= |
2 |
- |
3 |
BUT |
43 |
7 |
7 |
M |
= |
4 |
- |
11 |
MATHEMATICS |
112 |
40 |
4 |
I |
= |
9 |
- |
2 |
IS |
28 |
10 |
1 |
O |
= |
6 |
- |
3 |
ONE |
34 |
16 |
7 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
T |
= |
2 |
- |
4 |
THEM |
46 |
19 |
1 |
- |
- |
49 |
|
57 |
First Total |
|
|
|
- |
- |
4+9 |
- |
5+7 |
Add to Reduce |
5+9+8 |
2+3+8 |
5+8 |
- |
- |
13 |
- |
|
Second Total |
|
|
|
- |
- |
1+3 |
- |
1+2 |
Reduce to Deduce |
2+2 |
1+3 |
1+3 |
- |
- |
|
- |
|
Essence of Number |
|
|
|
A |
= |
1 |
- |
1 |
A |
1 |
1 |
1 |
L |
= |
3 |
- |
8 |
LANGUAGE |
68 |
32 |
5 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
L |
= |
3 |
- |
7 |
LETTERS |
99 |
27 |
9 |
A |
= |
1 |
- |
3 |
AND |
19 |
10 |
1 |
N |
= |
5 |
- |
7 |
NUMBERS |
73 |
28 |
1 |
- |
- |
19 |
|
28 |
First Total |
|
|
|
- |
- |
1+9 |
- |
2+8 |
Add to Reduce |
2+9+9 |
1+1+0 |
2+0 |
- |
- |
10 |
- |
|
Second Total |
|
|
|
- |
- |
1+0 |
- |
1+0 |
Reduce to Deduce |
2+0 |
- |
- |
- |
- |
|
- |
|
Essence of Number |
|
|
|
MATHEMATICS A LANGUAGE OF LETTERS AND NUMBERS
W |
= |
5 |
- |
4 |
WHAT |
52 |
16 |
7 |
O |
= |
6 |
- |
3 |
ONE |
34 |
16 |
7 |
W |
= |
5 |
- |
5 |
WOULD |
75 |
21 |
3 |
L |
= |
3 |
- |
4 |
LOOK |
53 |
17 |
8 |
F |
= |
6 |
- |
3 |
FOR |
30 |
21 |
3 |
T |
= |
2 |
- |
9 |
THEREFORE |
100 |
46 |
1 |
W |
= |
5 |
- |
5 |
WOULD |
75 |
21 |
3 |
B |
= |
2 |
- |
2 |
BE |
7 |
7 |
7 |
A |
= |
1 |
- |
1 |
A |
1 |
1 |
1 |
U |
= |
3 |
- |
9 |
UNIVERSAL |
121 |
40 |
4 |
L |
= |
3 |
- |
8 |
LANGUAGE |
68 |
32 |
5 |
|
|
41 |
|
53 |
|
|
|
49 |
|
|
|
|
|
|
|
|
|
T |
= |
2 |
- |
3 |
THE |
33 |
15 |
6 |
K |
= |
2 |
- |
4 |
KIND |
38 |
20 |
2 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
L |
= |
3 |
- |
8 |
LANGUAGE |
68 |
32 |
5 |
C |
= |
3 |
- |
4 |
THAT |
144 |
72 |
9 |
T |
= |
2 |
- |
5 |
WOULD |
35 |
8 |
8 |
A |
= |
1 |
- |
2 |
BE |
40 |
13 |
4 |
T |
= |
2 |
- |
14 |
COMPREHENSIBLE |
161 |
71 |
8 |
A |
= |
1 |
- |
2 |
TO |
54 |
27 |
9 |
S |
= |
1 |
- |
3 |
ANY |
96 |
33 |
6 |
I |
= |
9 |
- |
15 |
TECHNOLOGICALLY |
23 |
14 |
5 |
A |
= |
1 |
- |
2 |
ADVANCED |
40 |
13 |
4 |
E |
= |
5 |
- |
7 |
SOCIETY |
48 |
29 |
2 |
T |
= |
2 |
- |
2 |
IN |
49 |
13 |
4 |
W |
= |
5 |
- |
3 |
ANY |
75 |
21 |
3 |
B |
= |
2 |
- |
5 |
EPOCH |
7 |
7 |
7 |
|
|
47 |
|
81 |
|
|
|
85 |
|
|
|
|
|
|
|
|
|
S |
= |
1 |
- |
4 |
SUCH |
51 |
15 |
6 |
L |
= |
3 |
- |
9 |
LANGUAGES |
87 |
33 |
6 |
A |
= |
1 |
- |
3 |
ARE |
24 |
15 |
6 |
F |
= |
6 |
- |
3 |
FEW |
34 |
16 |
7 |
A |
= |
1 |
- |
3 |
AND |
19 |
10 |
1 |
F |
= |
6 |
- |
3 |
FAR |
25 |
16 |
7 |
B |
= |
2 |
- |
7 |
BETWEEN |
74 |
29 |
2 |
B |
= |
2 |
- |
3 |
BUT |
43 |
7 |
7 |
M |
= |
4 |
- |
11 |
MATHEMATICS |
112 |
40 |
4 |
I |
= |
9 |
- |
2 |
IS |
28 |
10 |
1 |
O |
= |
6 |
- |
3 |
ONE |
34 |
16 |
7 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
T |
= |
2 |
- |
4 |
THEM |
46 |
19 |
1 |
|
|
49 |
|
57 |
|
|
|
58 |
|
|
|
|
|
|
|
|
|
A |
= |
1 |
- |
1 |
A |
1 |
1 |
1 |
L |
= |
3 |
- |
8 |
LANGUAGE |
68 |
32 |
5 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
L |
= |
3 |
- |
7 |
LETTERS |
99 |
27 |
9 |
A |
= |
1 |
- |
3 |
AND |
19 |
10 |
1 |
N |
= |
5 |
- |
7 |
NUMBERS |
73 |
28 |
1 |
|
|
19 |
|
28 |
|
|
|
20 |
|
|
|
|
|
|
|
|
|
- |
- |
156 |
|
219 |
First Total |
|
|
|
- |
- |
1+5+6 |
- |
2+1+9 |
Add to Reduce |
2+4+4+4 |
9+8+6 |
2+1+2 |
- |
- |
|
- |
|
Second Total |
|
|
|
- |
- |
1+2 |
- |
1+2 |
Reduce to Deduce |
1+4 |
2+3 |
- |
- |
- |
|
- |
|
Essence of Number |
|
|
|
MATHEMATICS A LANGUAGE OF LETTER AND NUMBER
A |
= |
1 |
- |
1 |
A |
1 |
1 |
1 |
L |
= |
3 |
- |
8 |
LANGUAGE |
68 |
32 |
5 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
L |
= |
3 |
- |
6 |
LETTER |
80 |
26 |
8 |
A |
= |
1 |
- |
3 |
AND |
19 |
10 |
1 |
N |
= |
5 |
- |
6 |
NUMBER |
73 |
28 |
1 |
S |
- |
19 |
|
26 |
First Total |
|
|
|
- |
- |
1+9 |
- |
2+6 |
Add to Reduce |
2+6+1 |
1+0+8 |
1+8 |
- |
- |
|
- |
|
Second Total |
9 |
9 |
9 |
- |
- |
1+0 |
- |
- |
Reduce to Deduce |
- |
- |
- |
- |
- |
|
- |
|
Essence of Number |
9 |
9 |
9 |
0 |
- |
Z |
= |
8 |
- |
4 |
|
64 |
28 |
1 |
1 |
- |
O |
= |
6 |
- |
3 |
|
34 |
16 |
7 |
2 |
- |
T |
= |
2 |
- |
3 |
|
58 |
13 |
4 |
3 |
- |
T |
= |
2 |
- |
5 |
|
56 |
29 |
2 |
4 |
- |
F |
= |
6 |
- |
4 |
|
60 |
24 |
6 |
5 |
- |
F |
= |
6 |
- |
4 |
|
42 |
24 |
6 |
6 |
- |
S |
= |
1 |
- |
3 |
|
52 |
16 |
7 |
7 |
- |
S |
= |
1 |
- |
5 |
|
65 |
20 |
2 |
8 |
- |
E |
= |
5 |
- |
5 |
|
49 |
31 |
4 |
9 |
- |
N |
= |
5 |
- |
4 |
|
42 |
24 |
6 |
45 |
|
- |
- |
42 |
- |
40 |
Add |
|
|
|
4+5 |
|
|
|
4+2 |
|
4+0 |
Reduce |
5+2+2 |
2+2+5 |
4+5 |
9 |
- |
|
|
|
|
|
Deduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
- |
Z |
= |
8 |
- |
4 |
|
64 |
28 |
1 |
|
|
|
|
|
|
|
|
|
|
1 |
- |
O |
= |
6 |
- |
3 |
|
34 |
16 |
7 |
|
|
|
|
|
|
|
|
|
|
2 |
- |
T |
= |
2 |
- |
3 |
|
58 |
13 |
4 |
|
|
|
|
|
|
|
|
|
|
3 |
- |
T |
= |
2 |
- |
5 |
|
56 |
29 |
2 |
|
|
|
|
|
|
|
|
|
|
4 |
- |
F |
= |
6 |
- |
4 |
|
60 |
24 |
6 |
|
|
|
|
|
|
|
|
|
|
5 |
- |
F |
= |
6 |
- |
4 |
|
42 |
24 |
6 |
|
|
|
|
|
|
|
|
|
|
6 |
- |
S |
= |
1 |
- |
3 |
|
52 |
16 |
7 |
|
|
|
|
|
|
|
|
|
|
7 |
- |
S |
= |
1 |
- |
5 |
|
65 |
20 |
2 |
|
|
|
|
|
|
|
|
|
|
8 |
- |
E |
= |
5 |
- |
5 |
|
49 |
31 |
4 |
|
|
|
|
4 |
|
|
|
|
|
9 |
- |
N |
= |
5 |
- |
4 |
|
42 |
24 |
6 |
|
|
|
|
|
|
|
|
|
|
45 |
|
- |
- |
42 |
- |
40 |
Add |
|
|
|
|
|
|
|
|
|
|
|
|
|
4+5 |
|
|
|
4+2 |
|
4+0 |
Reduce |
5+2+2 |
2+2+5 |
4+5 |
|
|
|
|
|
|
1+8 |
1+4 |
|
|
9 |
- |
|
|
|
|
|
Deduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
- |
O |
= |
6 |
- |
3 |
|
34 |
16 |
7 |
2 |
- |
T |
= |
2 |
- |
3 |
|
58 |
13 |
4 |
3 |
- |
T |
= |
2 |
- |
5 |
|
56 |
29 |
2 |
4 |
- |
F |
= |
6 |
- |
4 |
|
60 |
24 |
6 |
5 |
- |
F |
= |
6 |
- |
4 |
|
42 |
24 |
6 |
6 |
- |
S |
= |
1 |
- |
3 |
|
52 |
16 |
7 |
7 |
- |
S |
= |
1 |
- |
5 |
|
65 |
20 |
2 |
8 |
- |
E |
= |
5 |
- |
5 |
|
49 |
31 |
4 |
9 |
- |
N |
= |
5 |
- |
4 |
|
42 |
24 |
6 |
45 |
|
- |
- |
34 |
- |
36 |
Add |
|
|
|
4+5 |
|
- |
|
3+4 |
|
3+6 |
Reduce |
4+5+8 |
1+9+7 |
4+4 |
9 |
- |
- |
|
|
|
|
Deduce |
|
|
|
|
|
- |
|
- |
|
|
Produce |
1+7 |
1+7 |
- |
9 |
- |
- |
- |
7 |
- |
9 |
Essence |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
- |
O |
= |
6 |
- |
3 |
|
34 |
16 |
7 |
|
|
|
|
|
|
|
|
|
|
2 |
- |
T |
= |
2 |
- |
3 |
|
58 |
13 |
4 |
|
|
|
|
|
|
|
|
|
|
3 |
- |
T |
= |
2 |
- |
5 |
|
56 |
29 |
2 |
|
|
|
|
|
|
|
|
|
|
4 |
- |
F |
= |
6 |
- |
4 |
|
60 |
24 |
6 |
|
|
|
|
|
|
|
|
|
|
5 |
- |
F |
= |
6 |
- |
4 |
|
42 |
24 |
6 |
|
|
|
|
|
|
|
|
|
|
6 |
- |
S |
= |
1 |
- |
3 |
|
52 |
16 |
7 |
|
|
|
|
|
|
|
|
|
|
7 |
- |
S |
= |
1 |
- |
5 |
|
65 |
20 |
2 |
|
|
|
|
|
|
|
|
|
|
8 |
- |
E |
= |
5 |
- |
5 |
|
49 |
31 |
4 |
|
|
|
|
4 |
|
|
|
|
|
9 |
- |
N |
= |
5 |
- |
4 |
|
42 |
24 |
6 |
|
|
|
|
|
|
|
|
|
|
45 |
|
- |
- |
34 |
- |
36 |
Add |
|
|
|
|
|
|
|
|
|
|
|
|
|
4+5 |
|
- |
|
3+4 |
|
3+6 |
Reduce |
4+5+8 |
1+9+7 |
4+4 |
|
|
|
|
|
|
1+8 |
1+4 |
|
|
9 |
- |
- |
|
|
|
|
Deduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
|
|
Produce |
1+7 |
1+7 |
- |
|
|
|
|
|
|
|
|
|
|
9 |
- |
- |
- |
7 |
- |
9 |
Essence |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
- |
4 |
|
8 |
5 |
9 |
6 |
- |
= |
28 |
2+8 |
= |
10 |
1+0 |
1 |
1 |
- |
3 |
|
6 |
5 |
5 |
- |
- |
= |
16 |
1+6 |
= |
7 |
- |
7 |
2 |
- |
3 |
|
2 |
5 |
6 |
- |
- |
= |
13 |
1+3 |
= |
4 |
- |
4 |
3 |
- |
5 |
|
2 |
8 |
9 |
5 |
5 |
= |
29 |
2+9 |
= |
11 |
1+1 |
2 |
4 |
- |
4 |
|
6 |
6 |
3 |
9 |
- |
= |
24 |
2+4 |
= |
6 |
- |
6 |
5 |
- |
4 |
|
6 |
9 |
4 |
5 |
- |
= |
24 |
2+4 |
= |
6 |
- |
6 |
6 |
- |
3 |
|
1 |
9 |
6 |
- |
- |
= |
16 |
1+6 |
= |
7 |
- |
7 |
7 |
- |
5 |
|
1 |
5 |
4 |
5 |
5 |
= |
20 |
2+0 |
= |
2 |
- |
2 |
8 |
- |
5 |
|
5 |
9 |
7 |
8 |
2 |
= |
31 |
3+1 |
= |
4 |
- |
4 |
9 |
- |
4 |
|
5 |
9 |
5 |
5 |
- |
= |
24 |
2+4 |
= |
6 |
- |
6 |
45 |
- |
40 |
Add |
42 |
70 |
58 |
43 |
12 |
- |
225 |
- |
- |
63 |
- |
45 |
4+5 |
- |
4+0 |
- |
4+2 |
7+0 |
5+8 |
4+3 |
1+2 |
- |
2+2+5 |
- |
- |
6+3 |
- |
4+5 |
9 |
- |
4 |
Reduce |
6 |
7 |
13 |
7 |
3 |
- |
9 |
- |
- |
9 |
- |
- |
- |
- |
- |
- |
- |
- |
1+3 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
4 |
Deduce |
6 |
7 |
4 |
7 |
3 |
- |
9 |
- |
- |
9 |
- |
9 |
W |
= |
5 |
- |
4 |
WHAT |
52 |
16 |
7 |
O |
= |
6 |
- |
3 |
ONE |
34 |
16 |
7 |
W |
= |
5 |
- |
5 |
WOULD |
75 |
21 |
3 |
L |
= |
3 |
- |
4 |
LOOK |
53 |
17 |
8 |
F |
= |
6 |
- |
3 |
FOR |
30 |
21 |
3 |
T |
= |
2 |
- |
9 |
THEREFORE |
100 |
46 |
1 |
W |
= |
5 |
- |
5 |
WOULD |
75 |
21 |
3 |
B |
= |
2 |
- |
2 |
BE |
7 |
7 |
7 |
A |
= |
1 |
- |
1 |
A |
1 |
1 |
1 |
U |
= |
3 |
- |
9 |
UNIVERSAL |
121 |
40 |
4 |
L |
= |
3 |
- |
8 |
LANGUAGE |
68 |
32 |
5 |
|
|
41 |
|
53 |
|
|
|
49 |
|
|
|
|
|
|
|
|
|
T |
= |
2 |
- |
3 |
THE |
33 |
15 |
6 |
K |
= |
2 |
- |
4 |
KIND |
38 |
20 |
2 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
L |
= |
3 |
- |
8 |
LANGUAGE |
68 |
32 |
5 |
C |
= |
3 |
- |
4 |
THAT |
144 |
72 |
9 |
T |
= |
2 |
- |
5 |
WOULD |
35 |
8 |
8 |
A |
= |
1 |
- |
2 |
BE |
40 |
13 |
4 |
T |
= |
2 |
- |
14 |
COMPREHENSIBLE |
161 |
71 |
8 |
A |
= |
1 |
- |
2 |
TO |
54 |
27 |
9 |
S |
= |
1 |
- |
3 |
ANY |
96 |
33 |
6 |
I |
= |
9 |
- |
15 |
TECHNOLOGICALLY |
23 |
14 |
5 |
A |
= |
1 |
- |
2 |
ADVANCED |
40 |
13 |
4 |
E |
= |
5 |
- |
7 |
SOCIETY |
48 |
29 |
2 |
T |
= |
2 |
- |
2 |
IN |
49 |
13 |
4 |
W |
= |
5 |
- |
3 |
ANY |
75 |
21 |
3 |
B |
= |
2 |
- |
5 |
EPOCH |
7 |
7 |
7 |
|
|
47 |
|
81 |
|
|
|
85 |
|
|
|
|
|
|
|
|
|
S |
= |
1 |
- |
4 |
SUCH |
51 |
15 |
6 |
L |
= |
3 |
- |
9 |
LANGUAGES |
87 |
33 |
6 |
A |
= |
1 |
- |
3 |
ARE |
24 |
15 |
6 |
F |
= |
6 |
- |
3 |
FEW |
34 |
16 |
7 |
A |
= |
1 |
- |
3 |
AND |
19 |
10 |
1 |
F |
= |
6 |
- |
3 |
FAR |
25 |
16 |
7 |
B |
= |
2 |
- |
7 |
BETWEEN |
74 |
29 |
2 |
B |
= |
2 |
- |
3 |
BUT |
43 |
7 |
7 |
M |
= |
4 |
- |
11 |
MATHEMATICS |
112 |
40 |
4 |
I |
= |
9 |
- |
2 |
IS |
28 |
10 |
1 |
O |
= |
6 |
- |
3 |
ONE |
34 |
16 |
7 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
T |
= |
2 |
- |
4 |
THEM |
46 |
19 |
1 |
|
|
49 |
|
57 |
|
|
|
58 |
|
|
|
|
|
|
|
|
|
A |
= |
1 |
- |
1 |
A |
1 |
1 |
1 |
L |
= |
3 |
- |
8 |
LANGUAGE |
68 |
32 |
5 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
L |
= |
3 |
- |
7 |
LETTERS |
99 |
27 |
9 |
A |
= |
1 |
- |
3 |
AND |
19 |
10 |
1 |
N |
= |
5 |
- |
7 |
NUMBERS |
73 |
28 |
1 |
|
|
19 |
|
28 |
|
|
|
20 |
|
|
|
|
|
|
|
|
|
- |
- |
156 |
|
219 |
First Total |
|
|
|
- |
- |
1+5+6 |
- |
2+1+9 |
Add to Reduce |
2+4+4+4 |
9+8+6 |
2+1+2 |
- |
- |
|
- |
|
Second Total |
|
|
|
- |
- |
1+2 |
- |
1+2 |
Reduce to Deduce |
1+4 |
2+3 |
- |
- |
- |
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- |
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Essence of Number |
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S |
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- |
- |
- |
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8 |
9 |
1 |
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1+8 |
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- |
- |
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8 |
9 |
19 |
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3+6 |
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= |
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S |
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- |
- |
- |
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4 |
5 |
7 |
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1+8 |
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= |
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- |
- |
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13 |
5 |
16 |
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4+5 |
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S |
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- |
- |
- |
11 |
13 |
5 |
16 |
8 |
9 |
19 |
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8+1 |
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- |
- |
2 |
4 |
5 |
7 |
8 |
9 |
1 |
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3+6 |
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7 |
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S |
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- |
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- |
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- |
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1 |
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occurs |
x |
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= |
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- |
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occurs |
x |
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= |
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- |
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occurs |
x |
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= |
4 |
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occurs |
x |
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= |
5 |
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occurs |
x |
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= |
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- |
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occurs |
x |
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= |
8 |
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9 |
occurs |
x |
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= |
9 |
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S |
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- |
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- |
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3+6 |
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3+6 |
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S |
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- |
2 |
4 |
5 |
7 |
8 |
9 |
1 |
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- |
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S |
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S |
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- |
- |
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8 |
9 |
1 |
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1+8 |
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- |
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8 |
9 |
19 |
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3+6 |
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= |
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S |
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- |
- |
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4 |
5 |
7 |
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1+8 |
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= |
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- |
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13 |
5 |
16 |
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4+5 |
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S |
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- |
- |
11 |
13 |
5 |
16 |
8 |
9 |
19 |
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8+1 |
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- |
2 |
4 |
5 |
7 |
8 |
9 |
1 |
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3+6 |
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7 |
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S |
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- |
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- |
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- |
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1 |
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occurs |
x |
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= |
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- |
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occurs |
x |
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= |
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occurs |
x |
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= |
4 |
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occurs |
x |
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= |
5 |
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- |
- |
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occurs |
x |
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= |
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- |
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occurs |
x |
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= |
8 |
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- |
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9 |
occurs |
x |
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= |
9 |
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S |
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- |
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- |
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3+6 |
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3+6 |
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S |
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- |
2 |
4 |
5 |
7 |
8 |
9 |
1 |
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- |
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S |
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- |
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H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
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- |
- |
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- |
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8 |
9 |
- |
- |
6 |
- |
- |
- |
- |
8 |
9 |
- |
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4+0 |
= |
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- |
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8 |
9 |
- |
- |
15 |
- |
- |
- |
- |
8 |
9 |
- |
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4+9 |
= |
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1+3 |
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- |
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H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
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- |
- |
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- |
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- |
- |
5 |
9 |
- |
7 |
3 |
7 |
7 |
- |
- |
3 |
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|
3+8 |
= |
|
1+1 |
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- |
|
- |
- |
5 |
18 |
- |
7 |
12 |
25 |
16 |
- |
- |
3 |
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|
8+3 |
= |
|
1+1 |
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- |
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H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
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- |
- |
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- |
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8 |
9 |
5 |
18 |
15 |
7 |
12 |
25 |
16 |
8 |
9 |
3 |
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|
1+3+5 |
= |
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- |
|
8 |
9 |
5 |
9 |
6 |
7 |
3 |
7 |
7 |
8 |
9 |
3 |
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|
8+1 |
= |
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- |
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H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
- |
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- |
- |
|
1 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
ONE |
1 |
|
- |
- |
- |
|
2 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
TWO |
2 |
|
- |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
- |
3 |
- |
|
|
occurs |
x |
|
= |
6 |
= |
|
4 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
FOUR |
4 |
|
- |
- |
- |
|
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
-- |
- |
|
|
occurs |
x |
|
= |
5 |
= |
|
- |
- |
- |
- |
- |
- |
6 |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
occurs |
x |
|
= |
6 |
= |
|
- |
- |
- |
- |
- |
- |
- |
7 |
- |
7 |
7 |
- |
- |
- |
- |
|
|
occurs |
x |
|
= |
21 |
= |
|
- |
-- |
8 |
- |
- |
- |
- |
- |
- |
- |
- |
8 |
- |
|
- |
|
|
occurs |
x |
|
= |
16 |
1+6 |
|
- |
- |
- |
9 |
- |
9 |
- |
- |
- |
- |
- |
- |
9 |
|
- |
|
|
occurs |
x |
|
= |
27 |
2+7 |
|
7 |
|
H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
- |
|
38 |
|
|
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|
|
|
- |
|
- |
9 |
- |
9 |
- |
|
- |
- |
|
- |
9 |
- |
- |
|
3+8 |
- |
- |
1+2 |
Q |
8+1 |
- |
3+6 |
7 |
|
H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
- |
|
11 |
|
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|
|
|
|
- |
|
8 |
9 |
5 |
9 |
6 |
7 |
3 |
7 |
7 |
8 |
9 |
3 |
- |
|
1+1 |
|
|
|
|
- |
- |
|
7 |
|
H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
- |
|
2 |
|
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H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
|
|
|
|
|
|
|
- |
- |
|
|
8 |
9 |
- |
- |
6 |
- |
- |
- |
- |
8 |
9 |
- |
|
|
|
4+0 |
= |
|
|
|
|
|
|
8 |
9 |
- |
- |
15 |
- |
- |
- |
- |
8 |
9 |
- |
|
|
|
4+9 |
= |
|
1+3 |
|
|
|
|
H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
|
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|
- |
- |
|
|
- |
- |
5 |
9 |
- |
7 |
3 |
7 |
7 |
- |
- |
3 |
|
|
|
3+8 |
= |
|
1+1 |
|
|
|
|
- |
- |
5 |
18 |
- |
7 |
12 |
25 |
16 |
- |
- |
3 |
|
|
|
8+3 |
= |
|
1+1 |
|
|
|
|
H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
|
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|
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|
|
|
- |
- |
|
|
8 |
9 |
5 |
18 |
15 |
7 |
12 |
25 |
16 |
8 |
9 |
3 |
|
|
|
1+3+5 |
= |
|
|
|
|
|
|
8 |
9 |
5 |
9 |
6 |
7 |
3 |
7 |
7 |
8 |
9 |
3 |
|
|
|
8+1 |
= |
|
|
|
|
|
|
H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
- |
|
|
|
|
|
|
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
- |
3 |
- |
|
|
occurs |
x |
|
= |
6 |
= |
|
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
-- |
- |
|
|
occurs |
x |
|
= |
5 |
= |
|
- |
- |
- |
- |
- |
6 |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
occurs |
x |
|
= |
6 |
= |
|
- |
- |
- |
- |
- |
- |
7 |
- |
7 |
7 |
- |
- |
- |
- |
|
|
occurs |
x |
|
= |
21 |
= |
|
-- |
8 |
- |
- |
- |
- |
- |
- |
- |
- |
8 |
- |
|
- |
|
|
occurs |
x |
|
= |
16 |
1+6 |
|
- |
- |
9 |
- |
9 |
- |
- |
- |
- |
- |
- |
9 |
|
- |
|
|
occurs |
x |
|
= |
27 |
2+7 |
|
|
H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
- |
|
38 |
|
|
|
|
|
|
|
|
- |
9 |
- |
9 |
- |
|
- |
- |
|
- |
9 |
- |
- |
|
3+8 |
- |
- |
1+2 |
Q |
8+1 |
- |
3+6 |
|
H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
- |
|
11 |
|
|
|
|
|
|
|
|
8 |
9 |
5 |
9 |
6 |
7 |
3 |
7 |
7 |
8 |
9 |
3 |
- |
|
1+1 |
|
|
|
|
- |
- |
|
|
H |
I |
E |
R |
O |
G |
L |
Y |
P |
H |
I |
C |
- |
|
2 |
|
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|
KEEPER OF GENESIS
A QUEST FOR THE HIDDEN LEGACY OF MANKIND
Robert Bauval Graham Hancock 1996
Page 254
"...Is there in any sense an interstellar Rosetta Stone?
We believe there is a common language that all technical civilizations, no matter how different, must have.
That common language is science and mathematics.
The laws of Nature are the same everywhere:..."
R |
= |
9 |
- |
7 |
ROSETTA |
98 |
26 |
8 |
S |
= |
1 |
- |
5 |
STONE |
73 |
19 |
1 |
- |
- |
10 |
- |
12 |
Add to Reduce |
|
|
|
- |
- |
1+0 |
- |
1+2 |
Reduce to Deduce |
1+7+1 |
4+5 |
|
Q |
- |
1 |
- |
3 |
Essence of Number |
|
|
|
|
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|
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|
|
- |
|
|
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|
- |
- |
|
- |
- |
|
6 |
1 |
|
|
|
|
- |
1 |
|
6 |
5 |
|
|
|
|
1+9 |
|
|
1+0 |
|
|
|
- |
- |
|
15 |
19 |
|
|
|
|
- |
19 |
|
15 |
14 |
|
|
|
|
8+2 |
|
|
1+0 |
|
|
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|
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|
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|
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|
- |
|
|
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|
- |
- |
|
- |
- |
9 |
|
|
5 |
2 |
2 |
1 |
- |
|
2 |
|
|
5 |
|
|
|
2+6 |
|
|
= |
|
|
|
- |
- |
18 |
|
|
5 |
20 |
20 |
1 |
- |
|
20 |
|
|
5 |
|
|
|
8+9 |
|
|
1+7 |
|
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|
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|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
18 |
15 |
19 |
5 |
20 |
20 |
1 |
- |
19 |
20 |
15 |
14 |
5 |
|
|
|
1+7=1 |
|
|
|
|
|
|
- |
- |
9 |
6 |
1 |
5 |
2 |
2 |
1 |
- |
1 |
2 |
6 |
5 |
5 |
|
|
|
4+5 |
|
|
|
|
|
|
|
12 |
|
|
|
|
|
|
|
- |
|
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- |
- |
|
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|
- |
- |
|
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|
- |
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
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|
|
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|
occurs |
x |
|
= |
|
= |
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- |
- |
|
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|
- |
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- |
- |
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- |
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- |
- |
|
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|
- |
|
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|
occurs |
x |
|
= |
15 |
1+5 |
|
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occurs |
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12 |
1+2 |
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- |
- |
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- |
- |
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- |
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- |
- |
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occurs |
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= |
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- |
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2+2 |
1+2 |
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- |
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2+3 |
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1+2 |
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4+5 |
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2+7 |
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- |
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9 |
6 |
1 |
5 |
2 |
2 |
1 |
- |
1 |
2 |
6 |
5 |
5 |
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- |
- |
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- |
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6 |
1 |
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1 |
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6 |
5 |
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1+9 |
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1+0 |
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15 |
19 |
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19 |
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15 |
14 |
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8+2 |
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1+0 |
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- |
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- |
- |
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- |
9 |
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5 |
2 |
2 |
1 |
- |
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2 |
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5 |
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2+6 |
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= |
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- |
18 |
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5 |
20 |
20 |
1 |
- |
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20 |
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5 |
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8+9 |
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1+7 |
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- |
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- |
- |
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- |
18 |
15 |
19 |
5 |
20 |
20 |
1 |
- |
19 |
20 |
15 |
14 |
5 |
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1+7=1 |
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9 |
6 |
1 |
5 |
2 |
2 |
1 |
- |
1 |
2 |
6 |
5 |
5 |
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4+5 |
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12 |
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- |
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- |
- |
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- |
- |
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- |
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occurs |
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= |
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occurs |
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= |
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- |
- |
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- |
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occurs |
x |
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= |
15 |
1+5 |
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occurs |
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12 |
1+2 |
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- |
- |
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- |
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occurs |
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- |
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1+2 |
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2+3 |
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1+2 |
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4+5 |
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2+7 |
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1 |
5 |
2 |
2 |
1 |
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1 |
2 |
6 |
5 |
5 |
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6 |
1 |
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1 |
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6 |
5 |
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1+9 |
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1+0 |
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15 |
19 |
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19 |
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15 |
14 |
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8+2 |
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1+0 |
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9 |
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5 |
2 |
2 |
1 |
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2 |
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5 |
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2+6 |
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= |
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- |
18 |
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5 |
20 |
20 |
1 |
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20 |
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5 |
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8+9 |
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1+7 |
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- |
- |
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- |
18 |
15 |
19 |
5 |
20 |
20 |
1 |
19 |
20 |
15 |
14 |
5 |
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1+7=1 |
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- |
9 |
6 |
1 |
5 |
2 |
2 |
1 |
1 |
2 |
6 |
5 |
5 |
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4+5 |
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12 |
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- |
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- |
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occurs |
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occurs |
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occurs |
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15 |
1+5 |
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occurs |
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12 |
1+2 |
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- |
- |
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- |
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occurs |
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1+2 |
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2+3 |
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1+2 |
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9 |
6 |
1 |
5 |
2 |
2 |
1 |
1 |
2 |
6 |
5 |
5 |
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JUST SIX NUMBERS
Martin Rees
1
999
OUR COSMIC HABITAT I
PLANETS STARS AND LIFE
Page 24
"A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' "
Page 24 / 25
"A manifestly artificial signal- even if it were as boring as lists of prime numbers, or the digits of 'pi' - would imply that 'intelli- gence' wasn't unique to the Earth and had evolved elsewhere. The nearest potential sites are so far away that signals would take many years in transit. For this reason alone, transmission would be primarily one-way. There would be time to send a measured response, but no scope for quick repartee!
Any remote beings who could communicate with us would have some concepts of mathematics and logic that paralleled our own. And they would also share a knowledge of the basic particles and forces that govern our universe. Their habitat may be very different (and the biosphere even more different) from ours here on Earth; but they, and their planet, would be made of atoms just like those on Earth. For them, as for us, the most important particles would be protons and electrons: one electron orbiting a proton makes a hydrogen atom, and electric currents and radio transmitters involve streams of electrons. A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' able and motivated to transmit radio signals. All the basic forces and natural laws would be the same. Indeed, this uniformity - without which our universe would be a far more baffling place - seems to extend to the remotest galaxies that astronomers can study. (Later chapters in this book will, however, speculate about other 'universes', forever beyond range of our telescopes, where different laws may prevail.)
Clearly, alien beings wouldn't use metres, kilograms or seconds. But we could exchange information about the ratios of two masses (such as thc ratio of proton and electron masses) or of two lengths, which are 'pure numbers' that don't depend on what units are used: the statement that one rod is ten times as long as another is true (or false) whether we measure lengths / in feet or metres or some alien units"
"A proton is
1,836 times heavier than an electron, and the number 1,836
would have the same connotations to any 'intelligence'"
E |
= |
5 |
- |
8 |
EIGHTEEN |
73 |
46 |
1 |
T |
= |
2 |
- |
9 |
THIRTYSIX |
152 |
53 |
8 |
- |
- |
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|
17 |
First Total |
|
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|
- |
- |
|
- |
1+7 |
Add to Reduce |
2+2+5 |
9+9 |
|
Q |
- |
|
- |
|
Second Total |
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|
- |
- |
|
- |
1+7 |
Reduce to Deduce |
- |
1+8 |
|
Q |
- |
|
- |
|
Essence of Number |
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E |
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G |
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T |
E |
E |
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T |
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R |
T |
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9 |
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8 |
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5 |
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8 |
9 |
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1 |
9 |
6 |
+ |
= |
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5+5 |
= |
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1+0 |
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= |
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9 |
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8 |
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14 |
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8 |
9 |
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19 |
9 |
24 |
+ |
= |
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1+0+0 |
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2+0 |
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7 |
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20 |
5 |
5 |
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20 |
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25 |
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20 |
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20 |
25 |
19 |
9 |
24 |
+ |
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= |
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= |
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5 |
9 |
7 |
8 |
2 |
5 |
5 |
5 |
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2 |
8 |
9 |
9 |
2 |
7 |
1 |
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occurs |
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E |
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R |
T |
Y |
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9 |
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8 |
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1 |
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6 |
+ |
= |
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5+5 |
= |
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1+0 |
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= |
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9 |
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8 |
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14 |
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8 |
9 |
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19 |
9 |
24 |
+ |
= |
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1+0+0 |
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2+0 |
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+ |
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4+4 |
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7 |
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20 |
5 |
5 |
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20 |
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18 |
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25 |
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= |
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1+2+5 |
= |
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5 |
9 |
7 |
8 |
20 |
5 |
5 |
14 |
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20 |
8 |
9 |
18 |
20 |
25 |
19 |
9 |
24 |
+ |
= |
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2+2+5 |
= |
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= |
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5 |
9 |
7 |
8 |
2 |
5 |
5 |
5 |
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2 |
8 |
9 |
9 |
2 |
7 |
1 |
9 |
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+ |
= |
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9+9 |
= |
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1 |
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occurs |
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2 |
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2 |
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occurs |
x |
3 |
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5 |
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5 |
5 |
5 |
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occurs |
x |
4 |
= |
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2+0 |
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6 |
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occurs |
x |
1 |
= |
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7 |
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7 |
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occurs |
x |
2 |
= |
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1+4 |
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8 |
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8 |
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occurs |
x |
2 |
= |
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1+6 |
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9 |
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9 |
9 |
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9 |
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occurs |
x |
4 |
= |
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3+6 |
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1+7 |
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3+8 |
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1+7 |
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9+9 |
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3+6 |
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5 |
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7 |
8 |
2 |
5 |
5 |
5 |
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2 |
8 |
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2 |
7 |
1 |
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6 |
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1+1 |
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1+8 |
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- |
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- |
- |
- |
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THE |
33 |
15 |
|
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SOLAR |
65 |
29 |
|
|
SYSTEM |
101 |
38 |
|
14 |
THE SOLAR SYSTEM |
199 |
82 |
10 |
1+4 |
|
1+9+9 |
8+2 |
1+0 |
5 |
THE SOLAR SYSTEM |
19 |
10 |
1 |
- |
|
1+9 |
1+0 |
- |
5 |
THE SOLAR SYSTEM |
10 |
1 |
1 |
- |
|
1+0 |
- |
- |
5 |
THE SOLAR SYSTEM |
1 |
1 |
1 |
3 |
SUN |
54 |
9 |
|
7 |
MERCURY |
103 |
40 |
4 |
5 |
VENUS |
81 |
18 |
9 |
5 |
EARTH |
52 |
25 |
7 |
4 |
MOON |
57 |
21 |
3 |
4 |
MARS |
51 |
15 |
6 |
7 |
JUPITER |
99 |
36 |
9 |
6 |
SATURN |
93 |
21 |
3 |
6 |
URANUS |
94 |
22 |
4 |
7 |
NEPTUNE |
95 |
32 |
5 |
5 |
PLUTO |
84 |
21 |
3 |
59 |
First Total |
863 |
260 |
62 |
5+9 |
Add to Reduce |
8+6+3 |
2+6 |
6+2 |
14 |
Second Total |
17 |
8 |
8 |
1+4 |
Reduce to Deduce |
1+7 |
- |
- |
5 |
Essence of Number |
8 |
8 |
8 |
3 |
SUN |
54 |
9 |
|
5 |
EARTH |
52 |
25 |
7 |
4 |
MOON |
57 |
21 |
3 |
12 |
First Total |
163 |
55 |
19 |
1+2 |
Add to Reduce |
1+6+3 |
5+5 |
6+2 |
3 |
Second Total |
10 |
10 |
10 |
- |
Reduce to Deduce |
1+0 |
1+0 |
1+0 |
3 |
Essence of Number |
1 |
1 |
1 |
- |
|
- |
- |
- |
|
THE |
33 |
15 |
|
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RAINBOW |
82 |
37 |
|
|
LIGHT |
56 |
29 |
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1+5 |
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1+7+1 |
8+1 |
- |
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15 |
THE RAINBOW LIGHT |
- |
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- |
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THE |
33 |
15 |
|
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R |
18 |
9 |
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A |
1 |
1 |
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I |
9 |
9 |
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N+B+O+W |
54 |
18 |
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L |
12 |
3 |
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I |
9 |
9 |
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G+H+T |
35 |
17 |
|
15 |
THE RAINBOW LIGHT |
171 |
81 |
54 |
1+5 |
|
1+7+1 |
8+1 |
5+4 |
6 |
THE RAINBOW LIGHT |
9 |
9 |
9 |
THE LIGHT IS RISING NOW RISING IS THE LIGHT
26 |
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8 |
9 |
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5 |
6 |
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1 |
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6 |
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8 |
+ |
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4+3 |
= |
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8 |
9 |
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14 |
15 |
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19 |
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24 |
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26 |
+ |
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1+1+5 |
= |
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26 |
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R |
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1 |
2 |
3 |
4 |
5 |
6 |
7 |
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1 |
2 |
3 |
4 |
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7 |
8 |
9 |
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2 |
3 |
4 |
5 |
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7 |
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+ |
= |
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8+3 |
= |
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1+1 |
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1 |
2 |
3 |
4 |
5 |
6 |
7 |
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10 |
11 |
12 |
13 |
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16 |
17 |
18 |
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20 |
21 |
22 |
23 |
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25 |
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+ |
= |
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2+3+6 |
= |
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1+1 |
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26 |
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I |
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1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
+ |
= |
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3+5+1 |
= |
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1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
+ |
= |
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1+2+6 |
= |
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26 |
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1 |
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1 |
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+ |
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occurs |
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+ |
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occurs |
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3 |
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+ |
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occurs |
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4 |
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4 |
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+ |
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occurs |
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3 |
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1+2 |
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5 |
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5 |
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+ |
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occurs |
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3 |
= |
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1+5 |
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6 |
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6 |
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+ |
= |
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occurs |
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3 |
= |
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1+8 |
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7 |
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7 |
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7 |
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+ |
= |
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occurs |
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3 |
= |
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2+1 |
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8 |
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8 |
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8 |
+ |
= |
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occurs |
x |
3 |
= |
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2+4 |
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9 |
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9 |
- |
- |
- |
- |
- |
- |
- |
- |
+ |
= |
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occurs |
x |
2 |
= |
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1+8 |
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26 |
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4+5 |
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2+6 |
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1+2+6 |
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5+4 |
26 |
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1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
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26 |
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THERE IS NO ATTEMPT MADE TO DESCRIBE THE CREATIVE PROCESS REALISTICALLY
THE ACCOUNT IS SYMBOLIC AND SHOWS GOD CREATING THE WORLD BY MEANS OF LANGUAGE
AS THOUGH WRITING A BOOK BUT LANGUAGE ENTIRELY TRANSFORMED
THE MESSAGE OF CREATION IS CLEAR EACH LETTER OF
THE
ALPHABET
IS
GIVEN
A
NUMERICAL
VALUE BY COMBINING THE LETTERS WITH THE SACRED NUMBERS
REARRANGING THEM IN ENDLESS CONFIGURATIONS
THE MYSTIC WEANED THE MIND AWAY FROM THE NORMAL CONNOTATIONS OF WORDS
THE DEATH OF GODS IN ANCIENT EGYPT
Jane B. Sellars 1992
Page 204
"The overwhelming awe that accompanies the realization, of the measurable orderliness of the universe strikes modern man as well. Admiral Weiland E. Byrd, alone In the Antarctic for five months of polar darkness, wrote these phrases of intense feeling:
Here were the imponderable processes and forces of the cosmos, harmonious and soundless. Harmony, that was it! I could feel no doubt of oneness with the universe. The conviction came that the rhythm was too orderly. too harmonious, too perfect to be a product of blind chance - that, therefore there must be purpose in the whole and that man was part of that whole and not an accidental offshoot. It was a feeling that transcended reason; that went to the heart of man's despair and found it groundless. The universe was a cosmos, not a chaos; man was as rightfully a part of that cosmos as were the day and night.10
Returning to the account of the story of Osiris, son of Cronos god of' Measurable Time, Plutarch takes, pains to remind the reader of the original Egyptian year consisting of 360 days.
Phrases are used that prompt simple mental. calculations and an attention to numbers, for example, the 360-day year is described as being '12 months of 30 days each'. Then we are told that, Osiris leaves on a long journey, during which Seth, his evil brother, plots with 72 companions to slay Osiris: He also secretly obtained the measure of Osiris and made ready a chest in which to entrap him.
The, interesting thing about this part of the-account is that nowhere in the original texts of the Egyptians are we told that Seth, has 72 companions. We have already been encouraged to equate Osiris with the concept of measured time; his father being Cronos. It is also an observable fact that Cronos-Saturn has the longest sidereal period of the known planets at that time, an orbit. of 30 years. Saturn is absent from a specific constellation for that length of time.
A simple mathematical fact has been revealed to any that are even remotely sensitive to numbers: if you multiply 72 by 30, the years of Saturn's absence (and the mention of Osiris's absence prompts one to recall this other), the resulting product is 2,160: the number of years required, for one 30° shift, or a shift: through one complete sign of the zodiac. This number multplied by the /Page205 / 12 signs also gives 25,920. (And Plutarch has reminded us of 12)
If you multiply the unusual number 72 by 360, a number that Plutarch mentions several times, the product will be 25,920, again the number of years symbolizing the ultimate rebirth.
This 'Eternal Return' is the return of, say, Taurus to the position of marking the vernal equinox by 'riding in the solar bark with. Re' after having relinquished this honoured position to Aries, and subsequently to the to other zodiacal constellations.
Such a return after 25,920 years is indeed a revisit to a Golden Age, golden not only because of a remarkable symmetry In the heavens, but golden because it existed before the Egyptians experienced heaven's changeability.
But now to inform the reader of a fact he or she may already know. Hipparaus did: not really have the exact figures: he was a
trifle off in his observations and calculations. In his published work, On the Displacement of the Solstitial and Equinoctial Signs, he
gave figures of 45" to 46" a year, while the truer precessional
lag along the ecliptic is about 50 seconds. The exact measurement for the lag, based on the correct annual lag of 50'274" is 1° in 71.6 years, or 360° in 25,776 years, only 144 years less
than the figure of 25,920.
With Hipparchus's incorrect figures a 'Great Year' takes from 28,173.9 to 28,800 years, Incorrect by a difference of from 2,397.9 years to 3,024.
Since Nicholas Copernicus (AD 1473-1543) has always been credited with giving the correct numbers (although Arabic astronomer Nasir al-Din Tusi,11 born AD 1201, is known to have fixed the Precession at 50°), we may correctly ask, and with justifiable astonishment 'Just whose information was Plutarch transmitting'
AN IMPORTANT POSTSCRIPT
Of course, using our own notational system, all the important numbers have digits that reduce to that amazing number 9 a number that has always delighted budding mathematician.
Page 206
Somewhere along the way, according to Robert Graves, 9 became the number of lunar wisdom.12
This number is found often in the mythologies of the world. the Viking god Odin hung for nine days and nights on the World Tree in order to acquire the secret of the runes, those magic symbols out of which writing and numbers grew. Only a terrible sacrifice would give away this secret, which conveyed upon its owner power and dominion over all, so Odin hung from his neck those long 9 days and nights over the 'bottomless abyss'. In the tree were 9 worlds, and another god was said to have been born of 9 mothers.
Robert Graves, in his White Goddess, Is intrigued by the seemingly recurring quality of the number 72 in early myth and ritual. Graves tells his reader that 72 is always connected with the number 5, which reflects, among other things, the five Celtic dialects that he was investigating. Of course, 5 x 72= 360, 360 x 72= 25,920. Five is also the number of the planets known to the ancient world, that is, Saturn, Jupiter, Mars, Venus Mercury.
Graves suggests a religious mystery bound up with two ancient Celtic 'Tree Alphabets' or cipher alphabets, which as genuine articles of Druidism were orally preserved and transmitted for centuries. He argues convincingly that the ancient poetry of Europe
was ultimately based on what its composers believed to be magical principles, the rudiments of which formed a close religious secret for centuries. In time these were-garbled, discredited and forgotten.
Among the many signs of the transmission of special numbers he points out that the aggregate number of letter strokes for the complete 22-letter Ogham alphabet that he is studying is 72 and that this number is the multiple of 9, 'the number of lunar wisdom'. . . . he then mentions something about 'the seventy day season during which Venus moves successively from. maximum eastern elongation 'to inferior conjunction and maximum western elongation'.13
Page 207
"...Feniusa Farsa, Graves equates this hero with Dionysus Farsa has 72 assistants who helped him master the 72 languages created at the confusion of Babel, the tower of which is said to be built of 9 different materials
We are also reminded of the miraculous translation into Greek of the Five Books of Moses that was done by 72 scholars working for 72 days, Although the symbol for the Septuagint is LXX, legend, according to the fictional letter of Aristeas, records 72. The translation was done for Ptolemy Philadelphus (c.250 BC), by Hellenistic Jews, possibly from Alexandra.14
Graves did not know why this number was necessary, but he points
out that he understands Frazer's Golden Bough to be a a book hinting
that 'the secret involves the truth that the Christian
dogma, and rituals, are the refinement of a great body of
primitive beliefs, and that the only original element in Christianity- is the personality of Christ.15
Frances A. Yates, historian of Renaissance hermetisma tells, us
the cabala had 72 angels through which the sephiroth (the powers
of God) are believed to be approached, and further, she supplies the information that although the Cabala supplied a set of 48 conclusions purporting to confirm the Christian religion from the foundation of ancient wisdom, Pico Della Mirandola, a Renaissance magus, introduced instead 72, which were his 'own opinion' of the correct number. Yates writes, 'It is no accident
there are seventy-two of Pico's Cabalist conclusions, for the
conclusion shows that he knew something of the mystery of the Name of God with seventy-two letters.'16
In Hamlet's Mill de Santillarta adds the facts that 432,000 is the number of syllables in the Rig-Veda, which when multiplied by the soss
(60) gives 25,920" (The reader is forgiven for a bit of laughter at this point)
Thee Bible has not escaped his pursuit. A prominent Assyriologist of the last century insisted that the total of the years recounted
mounted in Genesis for the lifetimes of patriarchs from
the Flood also contained the needed secret numbers. (He showed that in the 1,656.years recounted in the Bible there are 86,400 7 day weeks, and dividing this number yields / Page 208 / 43,200.)
In Indian yogic schools it is held that all living beings exhale and inhale 21,600 times a day, .multiply this by 2 and again we have.the necessary 432 digits.
Joseph Campbell discerns the secret in the date set for the coming of Patrick to Ireland. Myth-gives this date-as.- the interest-
ing number of AD.432.18
Whatever one may think-of some of these number coincidences, it becomes. difficult to escape the suspicion that many signs (number and otherwise) -indicate that early man observed the results.. of the movement of Precession . and that the-.transmission of this information was .considered of prime importance.
'With the awareness of the phenomenon, observers would certainly have tried for its measure, and such an endeavour would
have constituted the construction-of a 'Unified Field Theory' for nothing .less than Creation itself. Once determined, it would have been information worthy of secrecy and worthy of the passing on to future adepts.
But one last word about mankind's romance with number coincidences.The antagonist in John Updike's novel, Roger's Version, is a computer hacker, who, convinced.,that scientific evidence of God's existence is accumulating, endeavours to prove it by feeding -all the available scientific information. into a comuter. In his search for God 'breaking, through', he has become fascinated by certain numbers that have continually been cropping up. He explains them excitedly as 'the terms of Creation':
"...after a while I noticed that all over the sheet there seemed to hit these twenty-fours Jumping out at me. Two four; two,four.Planck time, for instance, divided by the radiation constant yields a figure near eight times ten again to the negative twenty-fourth, and the permittivity of free space, or electric constant, into the Bohr radiusekla almost exactly six times ten to the negative twenty-fourth. On positive side, the electromagnetic line-structure constant times Hubble radius - that is, the size of the universe as we now perceive it gives us something quite close to ten to the twenty-fourth, and the
strong-force constant times the charge on the proton produces two point four times ten to the negative eighteenth, for another I began to circle twenty-four wherever it appeared on the Printout here' - he held it up. his piece of striped and striped wallpaper, decorated / Page 209 /
with a number of scarlet circles - 'you can see it's more than random.'19
This inhabitant of the twentieth century is convinced that the striking occurrences of 2 and 4 reveal the sacred numbers by which God is speaking to us.
So much for any scorn directed to ancient man's fascination with number coincidences. That fascination is alive and well, Just a bit more incomprehensible"
3 |
|
33 |
15 |
|
4 |
|
42 |
24 |
|
7 |
|
73 |
37 |
|
5 |
|
52 |
16 |
|
2 |
|
21 |
12 |
|
3 |
|
26 |
17 |
|
|
- |
|
|
|
|
- |
2+4+7 |
1+2+1 |
3+1 |
|
- |
|
|
|
|
- |
1+3 |
- |
|
|
|
|
|
|
OF TIME AND STARS
Arthur C. Clarke 1972
FOREWORD
"'Into the Comet' and 'The Nine Billion Names of God' both involve computers and the troubles they may cause us. While writing this preface, I had occasion to call upon my own HP 9100A computer, Hal Junior, to answer an interesting question. Looking at my records, I find that I have now written just about one hundred short stories. This volume contains eighteen of them: therefore, how many possible 18-story collections will I be able to put together? The answer as I am sure will be instantly obvious to you - is 100 x 99. . . x 84 x 83 divided by 18 x 17 x 16 ... x .2 x 1. This is an impressive number - Hal Junior tells me that it is approximately 20,772,733,124,605,000,000.
Page 15
The Nine Billion Names of God
'This is a slightly unusual request,' said Dr Wagner, with what he hoped was commendable restraint. 'As far as I know, it's the first time anyone's been asked to supply a Tibetan monastery with an Automatic Sequence Computer. I don't wish to be inquisitive, but I should hardly have thought that your - ah - establishment had much use for such a machine. Could you explain just what you intend to do with it?'
'Gladly,' replied the lama, readjusting his silk robes and carefully putting away the slide rule he had been using far currency conversions. 'Your Mark V Computer can carry out any routine mathematical operation involving up to ten digits. However, for our work we are interested in letters, not numbers. As we wish you to modify the output circuits, the machine will be printing words, not columns of figures.'
'I don't quite understand. . .'
'This is a project on which we have been working for the last three centuries - since the lamasery was founded, in fact. It is somewhat alien to your way of thought, so I hope you will listen with an open mind while I explain it.'
'Naturally.'
'It is really quite simple. We have been compiling a list which shall contain all the possible names of God.'
'I beg your pardon?'
Page16
'We have reason to believe,' continued the lama imperturbably, 'that all such names can be written with not more than nine letters in an alphabet we have devised.'
'And you have been doing this for three centuries?'
'Yes: we expected it would take us about fifteen thousand years to complete the task.'
'Oh,' Dr Wagner looked a little dazed. 'Now I see why you wanted to hire one of our machines. But what exactly is the purpose of this project?'
The lama hesitated for a fraction of a second, and Wagner wondered if he had offended him. If so, there was no trace of annoyance in the reply.
'Call it ritual, if you like, but it's a fundamental part of our belief. All the many names of the Supreme Being - God Jehova, Allah, and so on - they are only man-made labels. There is a philosophical problem of some difficulty here, which I do not propose to discuss, but somewhere among all the possible combinations of letters that can occur are what one may call the real names of God. By systematic permutation of letters, we have been trying to list them all.'
'I see. You've been starting at AAAAAAA . . . and working up to ZZZZZZZZ . . .'
'Exactly - though we use a special alphabet of our own. Modifying the electromatic typewriters to deal with this is, of course, trivial. A rather more interesting problem is that of devising suitable circuits to eliminate ridiculous combinations. For example, no letter must occur more than three times in succession.'
,'Three? Surely you mean two.'
'Three is correct: I am afraid it would take too long to explain why, even if you understood our language.' "
Page 68
Into the Comet
"Pickett's fingers danced over the beads, sliding them up and down the wires with lightning speed. There were twelve wires in all, so that the abacus could handle numbers up to 999,999,999,999 - or could be divided into separate sections where several independent calculations could be carried out simultaneously.
'374072,' said Pickett, after an incredibly brief interval of time. 'Now see how long you take to do it, with pencil and paper.'
There was a much longer delay before Martens, who like most mathematicians was poor at arithmetic, called out '375072'. A hasty check soon confirmed that Martens had taken at least three times as long as Pickett to arrive at the wrong answer.
The atronomer's face was a study in mingled chagrin, astonishment, and curiosity.
'Where did you learn that trick?' he asked. 'I thought those things could only add and subtract.'
'Well - multiplication's only repeated addition, isn't it? All I did was to add 856 seven times in the unit column, three times in the tens column, and four times in the hundreds column. You do the same thing when you use pencil and paper. Of course, there are some short cuts, but if you think I'm fast, you should have seen my granduncle. He used to work in a Yokohama bank, and you couldn't see his fingers / Page 69 / when he was going at speed"
I
SAY
THREAD THAT THREAD
THREAD READ DEATH DEATH READ THREAD
THREAD R DEATH DEATH R THREAD
THREAD READ DEAR DAERHT
THE NEW ELIZABETHAN
REFERENCE DICTIONARY
An up-to-date vocabulary of the living English language
Circa 1900
FOURTH EDITION
Page 1472
thread (thred) [A.-S. thraed, from thrawan, to THROW (cp. Dut. draad, G. draht, Icel. thrathr)], n. A slender cord consisting of two or more yarns doubled or twisted ; a single filament of cotton, silk, wool, etc., esp. Lisle thread ; anything resembling this ; a fine line of colour etc. ; a thin seam or vein ; the spiral on a screw ; (fig.) a continuous course (of life etc.). v.t. To pass a thread through the eye or aperture of ; to string (beads etc.) on a thread ; (fig.) to pick (one's way) or to go through an intricate or crowded place, etc. ; to streak (the hair) with grey etc. ; to cut a thread on (a screw). thread and thrum : Good and bad together, all alike. threadbare, a. Worn so that the thread is visible, having the nap worn off ; (fig.) worn, trite, hackneyed. threadbareness, n. thread-mark, n. A mark produced by coloured silk fibres in banknotes to prevent counterfeiting. thread-paper, n. Soft paper for wrapping up thread, thread-worm, n. A thread-like nematode worm, esp. one infesting the rectum of children. threader, n. threadlike, a. and adv. thready, a. threadiness, n.
THE NEW ELIZABETHAN
REFERENCE DICTIONARY
An up-to-date vocabulary of the living English language
FOURTH EDITION
Circa 1900
Page 1472
thread (thred) [A.-S. thraed, from thrawan, to THROW (cp. Dut. draad, G. draht, Icel. thrathr)], n. A slender cord consisting of two or more yarns doubled or twisted ; a single filament of cotton, silk, wool, etc., esp. Lisle thread ; anything resembling this ; a fine line of colour etc. ; a thin seam or vein ; the spiral on a screw ; (fig.) a continuous course (of life etc.). v.t. To pass a thread through the eye or aperture of ; to string (beads etc.) on a thread ; (fig.) to pick (one's way) or to go through an intricate or crowded place, etc. ; to streak (the hair) with grey etc. ; to cut a thread on (a screw). thread and thrum : Good and bad together, all alike. threadbare, a. Worn so that the thread is visible, having the nap worn off ; (fig.) worn, trite, hackneyed. threadbareness, n. thread-mark, n. A mark produced by coloured silk fibres in banknotes to prevent counterfeiting. thread-paper, n. Soft paper for wrapping up thread, thread-worm, n. A thread-like nematode worm, esp. one infesting the rectum of children. threader, n. threadlike, a. and adv. thready, a. threadiness, n.
l
isle t
hread: l
isle t
hread
A strong tightly twisted cotton thread (usually made of long-staple cotton) - lisle. Derived forms: lisle threads. Type of: cotton. Nearest ... www.wordwebonline.com/en/LISLETHREAD
Def
in
it
ion - of L
isle f
rom
Dictiona
ry.net
Lisle thread, a hard twisted cotton thread, originally produced at Lisle. Source: Webster's Revised Unabridged Dictionary (1913) ... www.dictionary.net/lisle - 9k
CASSELL'S ENGLISH DICTIONARY
1974
Lisle thread (lil thred) [ town in France, now Lille], n, A fine, hard thread orig. made at Lille.
HOLY BIBLE
C
9 V 9
Page 575
JOB
Which maketh Arcturus, Orion, and Pleiades, and the chambers of the south.
PRINCIPIA MATHEMATICA |
FREEDOM DEMOCRACY |
FREEDOM DEMOCRACY, F,R, EEDOM, DE, M, OC, R, ACY |
FREEDOM DEMOCRACY, F, R, EEDOM, DE, MOCRACY |
THE, ZODIAC, OF, DENDERAH |
THIRTEEN, ELEVEN |
THIRTY THREE, THIRTY, THREE |
NOSTRADAMUS |
THE MYTH, THE, MYTH |
LIVING, THE, MYTH |
THE, MYTH, LIVES |
AEON, AEONS |
MIND, GRAVITY |
DOPA, TRIBE |
FIELD, OF, DREAMS |
ELECTRO, MAGNETISM |
KINETIC, KINETICS |
KINETIC ENERGIES, KINETIC ENERGIES |
FOUR, F, OUR |
FOUR-FOR, FOUR, FOR |
LUXOR |
MATHEMATIKOI |
ALGORITHM. ALGORITHMS |
IRON MAGNETS |
IRRESISTIBLE, FORCE |
IMMORABLE, OBJECT |
STARTING, FINISHING, ING |
START, FINISH |
GOD CONSCIOUS |
CONSCIOUS |
RELIGIONS |
THE
FAR YONDER SCRIBE
AND OFT TIMES SHADOWED SUBSTANCES WATCHED IN SOME AMAZE
THE
ZED ALIZ ZED
IN
SWIFT REPEAT SCATTER STAR DUST AMONGST THE LETTERS OF THEIR PROGRESS
NUMBER
9
THE SEARCH FOR THE SIGMA CODE
Cecil Balmond 1998
Cycles and Patterns
Page 165
Patterns
"The essence of mathematics is to look for patterns.
Our minds seem to be organised to search for relationships and sequences. We look for hidden orders.
These intuitions seem to be more important than the facts themselves, for there is always the thrill at finding something, a pattern, it is a discovery - what was unknown is now revealed. Imagine looking up at the stars and finding the zodiac!
Searching out patterns is a pure delight.
Suddenly the counters fall into place and a connection is found, not necessarily a geometric one, but a relationship between numbers, pictures of the mind, that were not obvious before. There is that excitement of finding order in something that was otherwise hidden.
And there is the knowledge that a huge unseen world lurks behind the facades we see of the numbers themselves."
- |
|
- |
- |
- |
|
THE |
33 |
15 |
|
|
RAINBOW |
82 |
37 |
|
|
LIGHT |
56 |
29 |
|
15 |
|
171 |
81 |
9 |
1+5 |
|
1+7+1 |
8+1 |
- |
6 |
|
9 |
9 |
9 |
I
SAY
HAVE
I
MENTIONED DIVINE THOUGHT DIVINE CONSCIENCE
I
SAY
HAVE
I
MENTIONED
GODS
DIVINE LOVE DIVINE
HAVE
I
MENTIONED
THAT
?
I
HAVE
O
GOOD
THOSE PATENT PATIENT PATTERN MAKERS
Nature's Numbers
Ian Stewart 1995
Numerology is the easiest-and consequently the most dangerous-method for finding patterns. It is easy because anybody can do it and dangerous for the same reason. The difficulty lies in distinguishing significant numerical patterns from accidental ones. Here's a case in point. Kepler was fascinated with patterns in nature, and he devoted much of his life to looking for them in the behaviour of the planets. He devised a simple and tidy theory for the existence of precisely six planets (in his time only Mercury, Venus, Earth, Mars, Jupiter, and Saturn were known). He also discovered a very strange pattern relating the orbital period of a /
planet- the time it takes to go once around the Sun-to its distance from the Sun. Recall that the square of a number is what you get when you multiply it by itself: for example, the square of 4 is 4 x 4 = 16. Similarly, the cube is what you get when you multiply it by itself twice: for example, the cube of 4 is 4 x 4 x 4 = 64. Kepler found that if you take the cube of the distance of any planet from the Sun and divide it by the square of its orbital period, you always get the same number. It was not an especially elegant number, but it was the same for all six planets.
Which of these numerological observations is the more significant? The verdict of posterity is that it is the second one, the complicated and rather arbitrary calculation with squares and cubes. This numerical pattern was one of the key steps towards Isaac Newton's theory of gravity, which has explained all sorts of puzzles about the motion of stars and planets. In contrast, Kepler's neat, tidy theory for the number of planets has been buried without trace. For a start it must have been wrong, because we now know of nine planets, not six. There could be even more, farther out from the Sun, and small enough to be undetectable But more important, we no longer expect to find a neat, tidy theory for the number of planets. We think that the Solar System condensed from a cloud of gas surrounding the Sun, and the number of planets presumably depended on the amount of matter in the gas cloud, how it was distributed, and how fast and in what directions it was moving. An equally plausible gas cloud could have given us eight planets, or eleven; the number is accidental, depending on the initial conditions of the gas cloud, rather than universal, reflecting a general law of nature"
Page 6
" The big problem with numerological pattern-seeking is that it generates millions of accidentals for each universal. Nor is it always obvious which is which. For example, there are three stars, roughly equally spaced and in a straight line, in the belt of the constellation Orion. Is that a clue to a significant law of nature?
Here's a similar question. Io, Europa, and Ganymede are three of Jupiter's larger satellites. They orbit the planet in , respectively, 1.77, 3.55, and 7.16 days. Each of these numbers is almost exactly twice the previous one. Is that a significant pattern? Three stars in a row, in terms of orbital period. Which pattern if either, is an important clue..."
"… In addition to numerical patterns there are geometric ones…"
"… Until recently the main shapes that appealed to mathematicians were very simple ones: triangles, squares, pen / Page 7 /tagons, hexagons, circles, ellipses, spirals, cubes, spheres, cones, and so on. All of these shapes can be found in nature, although some are far more common, or more evident, than others. The rainbow, for example, is a collection of circles, one for each colour. We don't normally see the entire circle just an arc; but rainbows seen from the air can be complete circles. You also see circles in the ripples on a pond, in the human eye, and on butterflies wings.
Talking of ripples, the flow of fluids provides an inexhaustible supply of nature's patterns. There are waves of many different kinds-surging toward a beach in parallel ranks, spreading in a V-shape behind a moving boat, radiating outward from an underwater earthquake…"
"…There are swirling spiral whirlpools and tiny vortices. And there is the apparently structureless, random frothing of turbulent flow, one of the great enigmas of mathematics and physics. There are similar patterns in the atmosphere, too, the most dramatic being the vast spiral of a hurricane…"
"…There are also wave patterns on land. The most strikingly mathematical landscapes on Earth are to be found in the great ergs, or sand oceans, of the Arabian and Sahara deserts. Even when the wind blows steadily in a fixed direction, sand dunes form. The simplest pattern is that of transverse dunes, which-just like ocean waves-line up in parallel straight rows at right angles to the prevailing wind direction. Sometimes the rows themselves become wavy in which case they are called barchanoid ridges; sometimes they break up into / Page 8 / innumerable shield-shaped barchan dunes. If the sand is slightly moist, and there is a little vegetation to bind it together, then you may find parabolic dunes-shaped like a U, with the rounded end pointing in the direction of the wind. These sometimes occur in clusters, and they resemble the teeth of a rake. If the wind direction is variable, other forms become possible. For example, clusters of sand shaped dunes can form, each having several irregular arms radiating from a central peak. They arrange themselves in a random pattern of spots.
Chapter 6
Page 81
"Nature's symmetries can be found on every scale, from the structure of subatomic particles to that of the entire universe. Many chemical molecules are symmetric. The methane molecule is a tetrahedron - a triangular-sided pyramid - with one carbon atom at its center and four hydrogen atoms at its corners Benzene has the sixfold symmetry of a regular hexagon. The fashionable molecule buckminsterfullerene is a truncated icosahedral cage of sixty carbon atoms. (An icosahedron is a regular solid with twenty triangular faces;
"truncated" means that the corners are cut off.) Its symmetry lends it a remarkable stability, which has opened up new possibilities for organic chemistry.
On a slightly larger scale than molecules, we find symmetries in cellular structure; at the heart of cellular replication lies a tiny piece of mechanical engineering. Deep within each / Page 82 / living cell, there is a rather shapeless structure known as the centrosome, which sprouts long thin microtubules, basic components of the cell's internal "skeleton", like a diminutive sea urchin. Centrsomes were first discovered in 1887 and play an important role in organizing cell division. How-ever in one respect the structure of the centresome is astonishingly symmetric. Inside it has two structures, known as centrioles, positioned at right angles to each other. Each centriole is cylindrical, made from twenty-seven microtubules fused together along their lengths in threes, and arranged with perfect ninefold symmetry. The microtubules themselves also have an astonishingley regular symmetric form. They are hollow tubes, made from a perfect regular checkerboard pattern of units that contain two distinct proteins, alpha- and betatubulin. One day, perhaps, we will understand why nature chose these symmetric forms. But it is amazing to see symmetric structures at the core of a living cell. "
CELL = 3533 = CELL
3533 = CELL = 3533
CELL = 3533 = CELL
CELL = 5 = CELL
SEE EL EL SEE
C ELL ELL C
CIRCLE = 5 5 = CIRCLE
3 |
3 |
- |
A+B+C |
6 |
6 |
6 |
2 |
- |
2 |
D+E |
9 |
9 |
9 |
3 |
3 |
- |
F+G+H |
21 |
21 |
3 |
1 |
- |
1 |
I |
9 |
9 |
9 |
3 |
3 |
- |
J+K+L |
33 |
6 |
6 |
2 |
- |
2 |
M+N |
27 |
9 |
9 |
2 |
2 |
- |
O+P |
31 |
13 |
4 |
3 |
- |
3 |
QRS |
54 |
18 |
9 |
3 |
- |
3 |
TUV |
63 |
9 |
9 |
3 |
- |
3 |
WXY |
72 |
18 |
9 |
1 |
1 |
- |
Z |
26 |
8 |
8 |
26 |
12 |
14 |
First Total |
351 |
126 |
81 |
2+6 |
1+2 |
1+4 |
Add to Reduce |
3+5+1 |
1+2+6 |
8+1 |
8 |
3 |
5 |
Reduce to Deduce |
9 |
9 |
9 |
3 |
A+B+C |
6 |
6 |
6 |
- |
D+E |
- |
- |
- |
3 |
F+G+H |
21 |
21 |
3 |
- |
I |
- |
- |
- |
3 |
J+K+L |
33 |
6 |
6 |
- |
M+N |
- |
- |
- |
2 |
O+P |
31 |
13 |
4 |
- |
QRS |
- |
- |
- |
- |
TUV |
- |
- |
- |
- |
WXY |
- |
- |
- |
1 |
Z |
26 |
8 |
8 |
12 |
First Total |
117 |
54 |
27 |
2+6 |
Add to Reduce |
1+1+7 |
5+4 |
2+7 |
8 |
Reduce to Deduce |
9 |
9 |
9 |
- |
A+B+C |
- |
- |
- |
2 |
D+E |
9 |
9 |
9 |
- |
F+G+H |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
J+K+L |
- |
- |
- |
2 |
M+N |
27 |
9 |
9 |
- |
O+P |
- |
- |
- |
3 |
QRS |
54 |
18 |
9 |
3 |
TUV |
63 |
9 |
9 |
3 |
WXY |
72 |
18 |
9 |
- |
Z |
- |
- |
- |
14 |
First Total |
234 |
72 |
54 |
1+4 |
Add to Reduce |
2+3+4 |
7+2 |
5+4 |
5 |
Reduce to Deduce |
9 |
9 |
9 |
4
|
ZERO |
64
|
28
|
1
|
3
|
ONE |
34
|
16
|
7
|
3
|
TWO |
58
|
13
|
4
|
5
|
THREE |
56
|
29
|
2
|
4
|
FOUR |
60
|
24
|
6
|
4
|
FIVE |
42
|
24
|
6
|
3
|
SIX |
52
|
16
|
7
|
5
|
SEVEN |
65
|
20
|
2
|
5
|
EIGHT |
49
|
31
|
4
|
4
|
NINE |
42
|
24
|
6
|
40 |
- |
522 |
225 |
45 |
4+0 |
- |
5+2+2 |
2+2+5 |
4+5 |
4 |
- |
9 |
9 |
9 |
O |
= |
6 |
3 |
|
34 |
16 |
7 |
T |
= |
2 |
3 |
|
58 |
13 |
4 |
T |
= |
2 |
5 |
|
56 |
29 |
2 |
F |
= |
6 |
4 |
|
60 |
24 |
6 |
F |
= |
6 |
4 |
|
42 |
24 |
6 |
S |
= |
1 |
3 |
|
52 |
16 |
7 |
S |
= |
1 |
5 |
|
65 |
20 |
2 |
E |
= |
5 |
5 |
|
49 |
31 |
4 |
N |
= |
5 |
4 |
|
42 |
24 |
6 |
- |
- |
39 |
36 |
- |
|
|
|
- |
- |
3+9 |
3+6 |
- |
4+5+8 |
1+9+7 |
4+4 |
- |
- |
12 |
9 |
- |
|
|
|
- |
- |
1+2 |
|
- |
1+7 |
1+7 |
- |
- |
- |
3 |
9 |
- |
|
|
|
Z |
= |
8 |
4 |
|
64 |
28 |
1 |
O |
= |
6 |
3 |
|
34 |
16 |
7 |
S |
= |
1 |
5 |
|
65 |
20 |
2 |
T |
= |
2 |
3 |
|
58 |
13 |
4 |
F |
= |
6 |
4 |
|
60 |
24 |
6 |
S |
= |
1 |
3 |
|
52 |
16 |
7 |
T |
= |
2 |
5 |
|
56 |
29 |
2 |
F |
= |
6 |
4 |
|
42 |
24 |
6 |
E |
= |
5 |
5 |
|
49 |
31 |
4 |
N |
= |
5 |
4 |
|
42 |
24 |
6 |
- |
- |
47 |
40 |
- |
|
|
|
- |
- |
11 |
4+0 |
- |
5+2+2 |
2+2+5 |
4+5 |
- |
- |
2 |
4 |
- |
|
|
|
-` |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
- |
|
|
- |
- |
- |
- |
- |
- |
- |
|
|
|
8 |
|
|
|
|
9 |
|
9 |
|
5 |
+ |
= |
|
3+1 |
= |
|
|
|
|
|
- |
- |
|
|
|
8 |
|
|
|
|
9 |
|
9 |
|
14 |
+ |
= |
|
4+0 |
= |
|
|
|
|
|
- |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
- |
|
|
- |
- |
- |
- |
- |
- |
- |
4 |
1 |
2 |
|
5 |
4 |
1 |
2 |
|
3 |
|
1 |
|
+ |
= |
|
2+3 |
= |
|
|
|
|
|
- |
- |
13 |
1 |
20 |
|
5 |
13 |
1 |
20 |
|
3 |
|
1 |
|
+ |
= |
|
7+7 |
= |
|
1+4 |
|
|
|
- |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
- |
|
|
- |
- |
- |
- |
- |
- |
- |
13 |
1 |
20 |
8 |
5 |
13 |
1 |
20 |
9 |
3 |
9 |
1 |
14 |
+ |
= |
|
1+0+8 |
= |
|
|
|
|
|
- |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
9 |
1 |
5 |
+ |
= |
|
5+4 |
= |
|
|
|
|
|
- |
13 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
- |
|
|
- |
- |
- |
- |
- |
- |
- |
- |
1 |
- |
- |
- |
- |
1 |
- |
- |
- |
- |
1 |
- |
|
|
1 |
occurs |
x |
3 |
|
3 |
|
3 |
- |
- |
- |
- |
2 |
- |
- |
- |
- |
2 |
- |
|
- |
- |
- |
|
|
2 |
occurs |
x |
2 |
|
4 |
|
4 |
|
-- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
- |
- |
|
occurs |
x |
1 |
|
3 |
|
3 |
- |
- |
4 |
- |
- |
- |
- |
4 |
|
- |
- |
- |
- |
|
- |
|
|
4 |
occurs |
x |
2 |
|
8 |
|
8 |
- |
- |
- |
- |
- |
- |
5 |
- |
|
- |
- |
- |
- |
- |
5 |
|
|
5 |
occurs |
x |
2 |
= |
10 |
1+0 |
1 |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
6 |
|
|
- |
|
- |
|
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
7 |
|
|
- |
|
- |
|
- |
- |
- |
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
8 |
occurs |
x |
1 |
|
8 |
|
8 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
9 |
- |
- |
|
|
9 |
occurs |
x |
2 |
= |
18 |
1+8 |
9 |
|
13 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
|
|
|
|
|
|
|
|
1+3 |
1+3 |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
9 |
- |
- |
- |
- |
3+2 |
|
|
1+3 |
- |
5+4 |
- |
3+6 |
|
4 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
5 |
|
|
4 |
|
9 |
|
9 |
- |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
9 |
1 |
5 |
- |
- |
- |
|
|
- |
- |
- |
- |
- |
|
4 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
5 |
|
|
4 |
|
9 |
|
9 |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
- |
|
|
- |
- |
- |
- |
- |
- |
|
|
|
8 |
|
|
|
|
9 |
|
9 |
|
5 |
+ |
= |
|
3+1 |
= |
|
|
|
|
|
- |
|
|
|
8 |
|
|
|
|
9 |
|
9 |
|
14 |
+ |
= |
|
4+0 |
= |
|
|
|
|
|
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
- |
|
|
- |
- |
- |
- |
- |
- |
4 |
1 |
2 |
|
5 |
4 |
1 |
2 |
|
3 |
|
1 |
|
+ |
= |
|
2+3 |
= |
|
|
|
|
|
- |
13 |
1 |
20 |
|
5 |
13 |
1 |
20 |
|
3 |
|
1 |
|
+ |
= |
|
7+7 |
= |
|
1+4 |
|
|
|
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
- |
|
|
- |
- |
- |
- |
- |
- |
13 |
1 |
20 |
8 |
5 |
13 |
1 |
20 |
9 |
3 |
9 |
1 |
14 |
+ |
= |
|
1+0+8 |
= |
|
|
|
|
|
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
9 |
1 |
5 |
+ |
= |
|
5+4 |
= |
|
|
|
|
|
13 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
- |
|
|
- |
- |
- |
- |
- |
- |
- |
1 |
- |
- |
- |
- |
1 |
- |
- |
- |
- |
1 |
- |
|
|
1 |
occurs |
x |
3 |
|
3 |
|
3 |
- |
- |
- |
2 |
- |
- |
- |
- |
2 |
- |
|
- |
- |
- |
|
|
2 |
occurs |
x |
2 |
|
4 |
|
4 |
-- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
- |
- |
|
occurs |
x |
1 |
|
3 |
|
3 |
- |
4 |
- |
- |
- |
- |
4 |
|
- |
- |
- |
- |
|
- |
|
|
4 |
occurs |
x |
2 |
|
8 |
|
8 |
- |
- |
- |
- |
- |
5 |
- |
|
- |
- |
- |
- |
- |
5 |
|
|
5 |
occurs |
x |
2 |
= |
10 |
1+0 |
1 |
- |
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
8 |
occurs |
x |
1 |
|
8 |
|
8 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
9 |
- |
- |
|
|
9 |
occurs |
x |
2 |
= |
18 |
1+8 |
9 |
13 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
|
|
|
|
|
|
|
|
1+3 |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
9 |
- |
- |
- |
- |
3+2 |
|
|
1+3 |
- |
5+4 |
- |
3+6 |
4 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
5 |
|
|
4 |
|
9 |
|
9 |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
9 |
1 |
5 |
- |
- |
- |
|
|
- |
- |
- |
- |
- |
4 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
I |
A |
N |
- |
- |
5 |
|
|
4 |
|
9 |
|
9 |
- |
MATHEMATICS |
- |
- |
- |
4 |
|
42 |
15 |
|
2 |
|
18 |
9 |
|
2 |
|
21 |
3 |
|
1 |
|
9 |
9 |
|
2 |
|
22 |
4 |
|
|
MATHEMATICS |
|
|
|
|
|
1+1+2 |
4+0 |
3+1 |
|
MATHEMATICS |
|
|
|
- |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
- |
|
|
- |
- |
- |
|
|
|
|
|
8 |
|
|
|
|
9 |
|
1 |
+ |
= |
|
1+8 |
= |
|
|
|
|
|
|
|
|
8 |
|
|
|
|
9 |
|
19 |
+ |
= |
|
3+6 |
= |
|
|
|
- |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
- |
|
|
- |
- |
- |
|
|
4 |
1 |
2 |
|
5 |
4 |
1 |
2 |
|
3 |
|
+ |
= |
|
2+2 |
= |
|
|
|
|
|
13 |
1 |
20 |
|
5 |
13 |
1 |
20 |
|
3 |
|
+ |
= |
|
7+6 |
= |
|
1+3 |
|
- |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
- |
|
|
- |
- |
- |
|
|
13 |
1 |
20 |
8 |
5 |
13 |
1 |
20 |
9 |
3 |
19 |
+ |
= |
|
1+1+2 |
= |
|
|
|
|
|
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
+ |
= |
|
4+0 |
= |
|
|
|
- |
11 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
- |
|
|
- |
- |
- |
- |
|
- |
1 |
- |
- |
- |
- |
1 |
- |
- |
- |
1 |
|
|
1 |
occurs |
x |
3 |
|
3 |
- |
|
- |
- |
2 |
- |
- |
- |
- |
2 |
- |
|
|
|
|
2 |
occurs |
x |
2 |
|
4 |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
|
occurs |
x |
1 |
|
3 |
- |
|
4 |
- |
- |
- |
- |
4 |
|
- |
- |
- |
|
|
|
4 |
occurs |
x |
2 |
|
8 |
- |
|
- |
- |
- |
- |
5 |
- |
|
- |
- |
- |
|
|
|
5 |
occurs |
x |
1 |
|
5 |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
6 |
|
|
- |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
7 |
|
|
- |
- |
- |
- |
|
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
|
|
|
8 |
occurs |
x |
1 |
|
8 |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
|
|
|
9 |
occurs |
x |
1 |
|
9 |
|
11 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
|
|
|
|
|
|
1+3 |
1+1 |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
|
- |
- |
3+2 |
|
|
1+1 |
- |
4+0 |
|
12 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
5 |
|
|
2 |
|
4 |
- |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
- |
- |
- |
|
|
- |
- |
- |
|
12 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
5 |
|
|
2 |
|
4 |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
- |
|
|
- |
- |
- |
|
|
|
|
8 |
|
|
|
|
9 |
|
1 |
+ |
= |
|
1+8 |
= |
|
|
|
|
|
|
|
8 |
|
|
|
|
9 |
|
19 |
+ |
= |
|
3+6 |
= |
|
|
|
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
- |
|
|
- |
- |
- |
|
4 |
1 |
2 |
|
5 |
4 |
1 |
2 |
|
3 |
|
+ |
= |
|
2+2 |
= |
|
|
|
|
13 |
1 |
20 |
|
5 |
13 |
1 |
20 |
|
3 |
|
+ |
= |
|
7+6 |
= |
|
1+3 |
|
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
- |
|
|
- |
- |
- |
|
13 |
1 |
20 |
8 |
5 |
13 |
1 |
20 |
9 |
3 |
19 |
+ |
= |
|
1+1+2 |
= |
|
|
|
|
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
+ |
= |
|
4+0 |
= |
|
|
|
11 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
- |
|
|
- |
- |
- |
|
- |
1 |
- |
- |
- |
- |
1 |
- |
- |
- |
1 |
|
|
1 |
occurs |
x |
3 |
|
3 |
|
- |
- |
2 |
- |
- |
- |
- |
2 |
- |
|
|
|
|
2 |
occurs |
x |
2 |
|
4 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
|
occurs |
x |
1 |
|
3 |
|
4 |
- |
- |
- |
- |
4 |
|
- |
- |
- |
|
|
|
4 |
occurs |
x |
2 |
|
8 |
|
- |
- |
- |
- |
5 |
- |
|
- |
- |
- |
|
|
|
5 |
occurs |
x |
1 |
|
5 |
|
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
|
|
|
8 |
occurs |
x |
1 |
|
8 |
|
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
|
|
|
9 |
occurs |
x |
1 |
|
9 |
11 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
|
|
|
|
|
|
1+1 |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
|
- |
- |
3+2 |
|
|
1+1 |
- |
4+0 |
12 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
5 |
|
|
2 |
|
4 |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
- |
- |
- |
|
|
- |
- |
- |
12 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
S |
- |
- |
5 |
|
|
2 |
|
4 |
THE MAGIC MOUNTAIN
Thomas Mann
1875-1955
Page 417
"I preach mathematics."
9 |
PRINCIPIA |
95 |
59 |
5 |
11 |
MATHEMATICA |
94 |
40 |
4 |
20 |
First Total |
189 |
99 |
9 |
2+0 |
Add to Reduce |
1+8+9 |
9+9 |
- |
2 |
Second Total |
18 |
18 |
9 |
- |
Reduce to Deduce |
1+8 |
1+8 |
- |
2 |
Essence of Number |
9 |
9 |
9 |
SUPER SCIENCE
Michael White
1
999
"The discovery of the theory of universal gravitation took
NEWTON
almost twenty years and did not really take shape until he wrote his great book
THE
PRINCIPIA MATHEMATICA
between 1684 and its publication in 1687."
9 |
PRINCIPIA |
95 |
59 |
5 |
11 |
MATHEMATICA |
94 |
40 |
4 |
20 |
First Total |
189 |
99 |
9 |
2+0 |
Add to Reduce |
1+8+9 |
9+9 |
- |
2 |
Second Total |
18 |
18 |
9 |
- |
Reduce to Deduce |
1+8 |
1+8 |
- |
2 |
Essence of Number |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P |
= |
7 |
- |
9 |
PRINCIPIA |
95 |
59 |
5 |
- |
|
- |
|
|
|
|
|
|
|
M |
= |
4 |
- |
11 |
MATHEMATICA |
94 |
40 |
4 |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P |
= |
7 |
1 |
1 |
P |
16 |
7 |
7 |
- |
|
|
|
|
|
6 |
|
|
|
R |
= |
9 |
2 |
1 |
R |
18 |
9 |
9 |
- |
|
|
- |
|
|
6 |
|
|
|
I |
= |
9 |
3 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
6 |
|
|
|
N |
= |
5 |
4 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
6 |
|
|
|
C |
= |
3 |
5 |
1 |
C |
3 |
3 |
3 |
- |
|
|
|
|
|
6 |
|
|
|
I |
= |
9 |
6 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
6 |
|
|
|
P |
= |
7 |
7 |
1 |
P |
16 |
7 |
7 |
- |
|
|
|
|
|
6 |
|
|
|
I |
= |
9 |
8 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
6 |
|
|
|
A |
= |
1 |
9 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
6 |
|
|
|
M |
= |
4 |
10 |
1 |
M |
13 |
4 |
4 |
- |
|
|
- |
|
|
6 |
|
|
|
A |
= |
1 |
11 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
6 |
|
|
|
T |
= |
2 |
12 |
1 |
T |
20 |
2 |
2 |
- |
|
|
|
|
|
6 |
|
|
|
H |
= |
8 |
13 |
1 |
H |
8 |
8 |
8 |
- |
|
|
|
|
|
6 |
|
|
|
E |
= |
5 |
14 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
6 |
|
|
|
M |
= |
4 |
15 |
1 |
M |
13 |
4 |
4 |
- |
|
|
- |
|
|
6 |
|
|
|
A |
= |
1 |
16 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
6 |
|
|
|
T |
= |
2 |
17 |
1 |
T |
20 |
2 |
2 |
- |
|
|
|
|
|
6 |
|
|
|
I |
= |
9 |
18 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
6 |
|
|
|
C |
= |
3 |
19 |
1 |
C |
3 |
3 |
3 |
- |
|
|
|
|
|
6 |
|
|
|
A |
= |
1 |
20 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
6 |
|
|
|
|
|
99 |
|
20 |
|
189 |
99 |
99 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
99 |
|
9 |
PRINCIPIA |
95 |
59 |
5 |
|
|
|
|
|
|
|
|
|
|
- |
- |
9+9 |
- |
11 |
MATHEMATICA |
94 |
40 |
4 |
|
|
|
|
|
1+0 |
|
1+4 |
|
4+5 |
Q |
- |
18 |
- |
20 |
First Total |
189 |
99 |
9 |
|
|
|
|
|
1 |
|
5 |
|
9 |
- |
- |
1+8 |
- |
2+0 |
Add to Reduce |
1+8+9 |
9+9 |
- |
|
|
|
|
|
|
|
|
|
|
Q |
- |
9 |
- |
2 |
Second Total |
18 |
18 |
9 |
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
Reduce to Deduce |
1+8 |
1+8 |
- |
|
|
|
|
|
|
|
|
|
|
Q |
- |
9 |
- |
2 |
Essence of Number |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P |
= |
7 |
- |
9 |
PRINCIPIA |
95 |
59 |
5 |
- |
|
- |
|
|
|
|
|
|
|
M |
= |
4 |
- |
11 |
MATHEMATICA |
94 |
40 |
4 |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A |
= |
1 |
9 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
6 |
|
|
|
A |
= |
1 |
11 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
6 |
|
|
|
A |
= |
1 |
16 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
6 |
|
|
|
A |
= |
1 |
20 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
6 |
|
|
|
T |
= |
2 |
12 |
1 |
T |
20 |
2 |
2 |
- |
|
|
|
|
|
6 |
|
|
|
T |
= |
2 |
17 |
1 |
T |
20 |
2 |
2 |
- |
|
|
|
|
|
6 |
|
|
|
C |
= |
3 |
5 |
1 |
C |
3 |
3 |
3 |
- |
|
|
|
|
|
6 |
|
|
|
C |
= |
3 |
19 |
1 |
C |
3 |
3 |
3 |
- |
|
|
|
|
|
6 |
|
|
|
M |
= |
4 |
10 |
1 |
M |
13 |
4 |
4 |
- |
|
|
- |
|
|
6 |
|
|
|
M |
= |
4 |
15 |
1 |
M |
13 |
4 |
4 |
- |
|
|
- |
|
|
6 |
|
|
|
N |
= |
5 |
4 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
6 |
|
|
|
E |
= |
5 |
14 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
6 |
|
|
|
P |
= |
7 |
1 |
1 |
P |
16 |
7 |
7 |
- |
|
|
|
|
|
6 |
|
|
|
P |
= |
7 |
7 |
1 |
P |
16 |
7 |
7 |
- |
|
|
|
|
|
6 |
|
|
|
H |
= |
8 |
13 |
1 |
H |
8 |
8 |
8 |
- |
|
|
|
|
|
6 |
|
|
|
R |
= |
9 |
2 |
1 |
R |
18 |
9 |
9 |
- |
|
|
- |
|
|
6 |
|
|
|
I |
= |
9 |
3 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
6 |
|
|
|
I |
= |
9 |
6 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
6 |
|
|
|
I |
= |
9 |
8 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
6 |
|
|
|
I |
= |
9 |
18 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
6 |
|
|
|
|
|
99 |
|
20 |
|
189 |
99 |
99 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
99 |
|
9 |
PRINCIPIA |
95 |
59 |
5 |
|
|
|
|
|
|
|
|
|
|
- |
- |
9+9 |
- |
11 |
MATHEMATICA |
94 |
40 |
4 |
|
|
|
|
|
1+0 |
|
1+4 |
|
4+5 |
Q |
- |
18 |
- |
20 |
First Total |
189 |
99 |
9 |
|
|
|
|
|
1 |
|
5 |
|
9 |
- |
- |
1+8 |
- |
2+0 |
Add to Reduce |
1+8+9 |
9+9 |
- |
|
|
|
|
|
|
|
|
|
|
Q |
- |
9 |
- |
2 |
Second Total |
18 |
18 |
9 |
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
Reduce to Deduce |
1+8 |
1+8 |
- |
|
|
|
|
|
|
|
|
|
|
Q |
- |
9 |
- |
2 |
Essence of Number |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P |
= |
7 |
- |
9 |
PRINCIPIA |
95 |
59 |
5 |
- |
|
- |
|
|
|
|
|
|
M |
= |
4 |
- |
11 |
MATHEMATICA |
94 |
40 |
4 |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A |
= |
1 |
9 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
|
|
|
A |
= |
1 |
11 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
|
|
|
A |
= |
1 |
16 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
|
|
|
A |
= |
1 |
20 |
1 |
A |
1 |
1 |
1 |
- |
|
|
|
|
|
|
|
|
T |
= |
2 |
12 |
1 |
T |
20 |
2 |
2 |
- |
|
|
|
|
|
|
|
|
T |
= |
2 |
17 |
1 |
T |
20 |
2 |
2 |
- |
|
|
|
|
|
|
|
|
C |
= |
3 |
5 |
1 |
C |
3 |
3 |
3 |
- |
|
|
|
|
|
|
|
|
C |
= |
3 |
19 |
1 |
C |
3 |
3 |
3 |
- |
|
|
|
|
|
|
|
|
M |
= |
4 |
10 |
1 |
M |
13 |
4 |
4 |
- |
|
|
- |
|
|
|
|
|
M |
= |
4 |
15 |
1 |
M |
13 |
4 |
4 |
- |
|
|
- |
|
|
|
|
|
N |
= |
5 |
4 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
E |
= |
5 |
14 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
P |
= |
7 |
1 |
1 |
P |
16 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
P |
= |
7 |
7 |
1 |
P |
16 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
H |
= |
8 |
13 |
1 |
H |
8 |
8 |
8 |
- |
|
|
|
|
|
|
|
|
R |
= |
9 |
2 |
1 |
R |
18 |
9 |
9 |
- |
|
|
- |
|
|
|
|
|
I |
= |
9 |
3 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
|
|
|
I |
= |
9 |
6 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
|
|
|
I |
= |
9 |
8 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
|
|
|
I |
= |
9 |
18 |
1 |
I |
9 |
9 |
9 |
- |
|
|
- |
|
|
|
|
|
|
|
99 |
|
20 |
|
189 |
99 |
99 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
99 |
|
9 |
PRINCIPIA |
95 |
59 |
5 |
|
|
|
|
|
|
|
|
|
- |
- |
9+9 |
- |
11 |
MATHEMATICA |
94 |
40 |
4 |
|
|
|
|
|
1+0 |
1+4 |
|
4+5 |
Q |
- |
18 |
- |
20 |
First Total |
189 |
99 |
9 |
|
|
|
|
|
1 |
5 |
|
9 |
- |
- |
1+8 |
- |
2+0 |
Add to Reduce |
1+8+9 |
9+9 |
- |
|
|
|
|
|
|
|
|
|
Q |
- |
9 |
- |
2 |
Second Total |
18 |
18 |
9 |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
Reduce to Deduce |
1+8 |
1+8 |
- |
|
|
|
|
|
|
|
|
|
Q |
- |
9 |
- |
2 |
Essence of Number |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
9 |
PRINCIPIA |
95 |
59 |
5 |
11 |
MATHEMATICA |
94 |
40 |
4 |
20 |
First Total |
189 |
99 |
9 |
2+0 |
Add to Reduce |
1+8+9 |
9+9 |
- |
2 |
Second Total |
18 |
18 |
9 |
- |
Reduce to Deduce |
1+8 |
1+8 |
- |
2 |
Essence of Number |
9 |
9 |
9 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
- |
9 |
- |
9 |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
|
+ |
= |
36 |
9 |
NINE |
9 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
- |
+ |
= |
8 |
8 |
EIGHT |
8 |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
+ |
= |
5 |
5 |
FIVE |
5 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
16 |
18 |
9 |
14 |
3 |
9 |
16 |
9 |
1 |
- |
13 |
1 |
20 |
8 |
5 |
13 |
1 |
20 |
9 |
3 |
1 |
+ |
= |
|
|
|
|
- |
7 |
9 |
9 |
5 |
3 |
9 |
7 |
9 |
1 |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
+ |
= |
|
|
|
|
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
1 |
- |
- |
1 |
- |
|
- |
- |
1 |
- |
|
- |
1 |
+ |
= |
4 |
4 |
FOUR |
4 |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
2 |
- |
- |
- |
- |
2 |
- |
- |
- |
+ |
= |
4 |
4 |
FOUR |
4 |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
3 |
- |
+ |
= |
6 |
6 |
SIX |
6 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
4 |
- |
- |
- |
- |
4 |
- |
- |
- |
|
- |
+ |
= |
8 |
8 |
EIGHT |
8 |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
+ |
= |
10 |
1 |
ONE |
1 |
- |
7 |
- |
- |
- |
- |
- |
7 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
+ |
= |
14 |
5 |
FIVE |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
- |
+ |
= |
8 |
8 |
EIGHT |
8 |
- |
- |
9 |
9 |
- |
- |
9 |
- |
9 |
- |
|
- |
|
- |
- |
- |
- |
- |
- |
9 |
- |
- |
+ |
= |
45 |
9 |
NINE |
9 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
|
- |
99 |
45 |
NINE |
9 |
2+0 |
7 |
|
|
5 |
3 |
|
7 |
9 |
1 |
|
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
|
3 |
1 |
- |
- |
9+9 |
4+5 |
- |
- |
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
18 |
9 |
- |
- |
- |
|
9 |
9 |
- |
|
9 |
- |
9 |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
- |
- |
- |
1+8 |
- |
- |
- |
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
9 |
9 |
NINE |
9 |
- |
7 |
9 |
9 |
5 |
3 |
9 |
7 |
9 |
1 |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
+ |
= |
|
|
|
|
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
9 |
9 |
NINE |
9 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
|
- |
|
|
|
9 |
5 |
|
9 |
|
9 |
- |
|
- |
- |
- |
8 |
- |
|
- |
- |
9 |
|
|
+ |
= |
49 |
4 |
FOUR |
4 |
|
|
|
9 |
14 |
|
9 |
|
9 |
|
|
- |
- |
- |
8 |
|
|
- |
- |
9 |
|
|
+ |
= |
58 |
4 |
FOUR |
4 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
|
- |
|
7 |
9 |
|
|
3 |
|
7 |
|
1 |
|
4 |
1 |
2 |
|
5 |
4 |
1 |
2 |
|
3 |
1 |
+ |
= |
50 |
5 |
FIFTY |
5 |
|
16 |
18 |
|
|
3 |
|
16 |
|
1 |
|
13 |
1 |
20 |
|
5 |
13 |
1 |
20 |
|
3 |
1 |
+ |
= |
131 |
5 |
FIFTY |
5 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
|
- |
|
16 |
18 |
9 |
14 |
3 |
9 |
16 |
9 |
1 |
|
13 |
1 |
20 |
8 |
5 |
13 |
1 |
20 |
9 |
3 |
1 |
+ |
= |
|
|
NINE |
9 |
|
7 |
9 |
9 |
5 |
3 |
9 |
7 |
9 |
1 |
|
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
+ |
= |
|
|
|
|
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
1 |
- |
- |
1 |
- |
|
- |
- |
1 |
- |
|
- |
1 |
+ |
= |
4 |
4 |
FOUR |
4 |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
2 |
- |
- |
- |
- |
2 |
- |
- |
- |
+ |
= |
4 |
4 |
FOUR |
4 |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
3 |
- |
+ |
= |
6 |
6 |
SIX |
6 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
4 |
- |
- |
- |
- |
4 |
- |
- |
- |
|
- |
+ |
= |
8 |
8 |
EIGHT |
8 |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
+ |
= |
10 |
1 |
ONE |
1 |
- |
7 |
- |
- |
- |
- |
- |
7 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
+ |
= |
14 |
5 |
FIVE |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
- |
+ |
= |
8 |
8 |
EIGHT |
8 |
- |
- |
9 |
9 |
- |
- |
9 |
- |
9 |
- |
|
- |
|
- |
- |
- |
- |
- |
- |
9 |
- |
- |
+ |
= |
45 |
9 |
NINE |
9 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
|
- |
99 |
45 |
NINE |
9 |
2+0 |
7 |
|
|
5 |
3 |
|
7 |
9 |
1 |
|
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
|
3 |
1 |
- |
- |
9+9 |
4+5 |
- |
- |
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
|
- |
18 |
9 |
- |
- |
- |
|
9 |
9 |
- |
|
9 |
- |
9 |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
- |
- |
- |
1+8 |
- |
|
- |
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
9 |
9 |
NINE |
9 |
- |
7 |
9 |
9 |
5 |
3 |
9 |
7 |
9 |
1 |
|
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
- |
- |
- |
- |
|
- |
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
9 |
9 |
NINE |
9 |
- |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
- |
9 |
- |
9 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
9 |
- |
- |
+ |
= |
36 |
|
|
9 |
NINE |
9 |
NINE |
9 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
8 |
- |
- |
- |
|
- |
- |
- |
+ |
= |
8 |
|
|
8 |
EIGHT |
8 |
EIGHT |
8 |
- |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
+ |
= |
5 |
|
|
5 |
FIVE |
5 |
FIVE |
5 |
- |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
16 |
18 |
9 |
14 |
3 |
9 |
16 |
9 |
1 |
- |
13 |
1 |
20 |
8 |
5 |
13 |
1 |
20 |
9 |
3 |
1 |
+ |
= |
|
1+8+9 |
= |
|
1+8 |
|
|
|
- |
- |
7 |
9 |
9 |
5 |
3 |
9 |
7 |
9 |
1 |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
+ |
= |
|
9+9 |
= |
|
1+8 |
|
|
|
- |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
1 |
|
- |
1 |
- |
|
- |
- |
1 |
- |
|
- |
1 |
|
|
1 |
occurs |
x |
4 |
= |
4 |
= |
4 |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
|
- |
- |
2 |
- |
- |
- |
- |
2 |
- |
- |
- |
|
|
2 |
occurs |
x |
2 |
= |
4 |
= |
4 |
- |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
3 |
- |
|
|
3 |
occurs |
x |
2 |
= |
6 |
= |
6 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
4 |
- |
- |
- |
- |
4 |
- |
- |
- |
|
- |
|
|
4 |
occurs |
x |
2 |
= |
8 |
= |
8 |
- |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
|
|
5 |
occurs |
x |
2 |
= |
10 |
1+0 |
1 |
6 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
6 |
|
|
- |
- |
- |
- |
- |
-- |
- |
7 |
- |
- |
- |
- |
- |
7 |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
7 |
occurs |
x |
2 |
= |
14 |
1+4 |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
- |
|
|
8 |
occurs |
x |
1 |
= |
8 |
= |
8 |
- |
- |
- |
9 |
9 |
- |
- |
9 |
- |
9 |
- |
|
- |
|
- |
- |
- |
- |
- |
- |
9 |
- |
- |
|
|
9 |
occurs |
x |
5 |
= |
45 |
4+5 |
9 |
|
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
|
|
|
|
|
|
|
|
- |
2+0 |
- |
9 |
9 |
- |
- |
9 |
- |
9 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
- |
- |
- |
3+9 |
|
|
2+0 |
- |
9+9 |
- |
4+5 |
|
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
12 |
|
|
2 |
- |
|
- |
|
- |
- |
7 |
9 |
9 |
5 |
3 |
9 |
7 |
9 |
1 |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
- |
- |
1+2 |
|
|
- |
- |
1+8 |
- |
- |
|
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
3 |
|
|
2 |
|
9 |
|
9 |
- |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
9 |
5 |
|
9 |
|
9 |
- |
|
- |
- |
- |
8 |
- |
- |
- |
- |
9 |
- |
- |
+ |
= |
49 |
4+9 |
= |
13 |
1+3 |
4 |
= |
4 |
- |
|
|
|
9 |
14 |
|
9 |
|
9 |
|
|
- |
- |
- |
8 |
- |
- |
- |
- |
9 |
- |
- |
+ |
= |
58 |
5+8 |
= |
13 |
1+3 |
4 |
= |
4 |
- |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
7 |
9 |
|
|
3 |
|
7 |
|
1 |
|
4 |
1 |
2 |
|
5 |
4 |
1 |
2 |
|
3 |
1 |
+ |
= |
50 |
5+0 |
= |
5 |
= |
5 |
= |
5 |
- |
- |
16 |
18 |
|
|
3 |
|
16 |
|
1 |
- |
13 |
1 |
20 |
|
5 |
13 |
1 |
20 |
|
3 |
1 |
+ |
= |
131 |
1+3+1 |
= |
5 |
= |
5 |
= |
5 |
- |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
16 |
18 |
9 |
14 |
3 |
9 |
16 |
9 |
1 |
|
13 |
1 |
20 |
8 |
5 |
13 |
1 |
20 |
9 |
3 |
1 |
+ |
= |
|
1+8+9 |
= |
|
1+8 |
|
= |
|
- |
- |
7 |
9 |
9 |
5 |
3 |
9 |
7 |
9 |
1 |
|
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
+ |
= |
|
9+9 |
= |
|
1+8 |
|
= |
|
- |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
1 |
|
- |
1 |
- |
|
- |
- |
1 |
- |
|
- |
1 |
|
|
1 |
occurs |
x |
4 |
= |
4 |
= |
4 |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
|
- |
- |
2 |
- |
- |
- |
- |
2 |
- |
- |
- |
|
|
2 |
occurs |
x |
2 |
= |
4 |
= |
4 |
- |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
3 |
- |
|
|
3 |
occurs |
x |
2 |
= |
6 |
= |
6 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
4 |
- |
- |
- |
- |
4 |
- |
- |
- |
|
- |
|
|
4 |
occurs |
x |
2 |
= |
8 |
= |
8 |
- |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
|
|
5 |
occurs |
x |
2 |
= |
10 |
1+0 |
1 |
6 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
6 |
|
|
- |
- |
- |
- |
- |
-- |
- |
7 |
- |
- |
- |
- |
- |
7 |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
7 |
occurs |
x |
2 |
= |
14 |
1+4 |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
- |
|
|
8 |
occurs |
x |
1 |
= |
8 |
= |
8 |
- |
- |
- |
9 |
9 |
- |
- |
9 |
- |
9 |
- |
|
- |
|
- |
- |
- |
- |
- |
- |
9 |
- |
- |
|
|
9 |
occurs |
x |
5 |
= |
45 |
4+5 |
9 |
|
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
|
|
|
|
|
|
|
|
- |
2+0 |
- |
9 |
9 |
- |
- |
9 |
- |
9 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
- |
- |
- |
3+9 |
|
|
2+0 |
- |
9+9 |
- |
4+5 |
|
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
12 |
|
|
2 |
- |
|
- |
|
- |
- |
7 |
|
|
5 |
3 |
|
7 |
9 |
1 |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
|
3 |
1 |
- |
- |
1+2 |
|
|
- |
- |
1+8 |
- |
- |
|
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
- |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
3 |
|
|
2 |
|
9 |
|
9 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
9 |
5 |
|
9 |
|
9 |
- |
- |
- |
- |
8 |
- |
- |
- |
- |
9 |
- |
- |
+ |
= |
49 |
4+9 |
= |
13 |
1+3 |
4 |
= |
4 |
|
|
|
9 |
14 |
|
9 |
|
9 |
|
- |
- |
- |
8 |
- |
- |
- |
- |
9 |
- |
- |
+ |
= |
58 |
5+8 |
= |
13 |
1+3 |
4 |
= |
4 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
7 |
9 |
|
|
3 |
|
7 |
|
1 |
4 |
1 |
2 |
|
5 |
4 |
1 |
2 |
|
3 |
1 |
+ |
= |
50 |
5+0 |
= |
5 |
= |
5 |
= |
5 |
- |
16 |
18 |
|
|
3 |
|
16 |
|
1 |
13 |
1 |
20 |
|
5 |
13 |
1 |
20 |
|
3 |
1 |
+ |
= |
131 |
1+3+1 |
= |
5 |
= |
5 |
= |
5 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
16 |
18 |
9 |
14 |
3 |
9 |
16 |
9 |
1 |
13 |
1 |
20 |
8 |
5 |
13 |
1 |
20 |
9 |
3 |
1 |
+ |
= |
|
1+8+9 |
= |
|
1+8 |
|
= |
|
- |
7 |
9 |
9 |
5 |
3 |
9 |
7 |
9 |
1 |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
3 |
1 |
+ |
= |
|
9+9 |
= |
|
1+8 |
|
= |
|
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
1 |
- |
1 |
- |
|
- |
- |
1 |
- |
|
- |
1 |
|
|
1 |
occurs |
x |
4 |
= |
4 |
= |
4 |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
2 |
- |
- |
- |
- |
2 |
- |
- |
- |
|
|
2 |
occurs |
x |
2 |
= |
4 |
= |
4 |
- |
- |
- |
- |
- |
3 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
3 |
- |
|
|
3 |
occurs |
x |
2 |
= |
6 |
= |
6 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
4 |
- |
- |
- |
- |
4 |
- |
- |
- |
|
- |
|
|
4 |
occurs |
x |
2 |
= |
8 |
= |
8 |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
|
|
5 |
occurs |
x |
2 |
= |
10 |
1+0 |
1 |
- |
7 |
- |
- |
- |
- |
- |
7 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
7 |
occurs |
x |
2 |
= |
14 |
1+4 |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
- |
|
|
8 |
occurs |
x |
1 |
= |
8 |
= |
8 |
- |
- |
9 |
9 |
- |
- |
9 |
- |
9 |
- |
- |
|
- |
- |
- |
- |
- |
- |
9 |
- |
- |
|
|
9 |
occurs |
x |
5 |
= |
45 |
4+5 |
9 |
20 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
|
|
|
|
|
|
|
|
2+0 |
- |
9 |
9 |
- |
- |
9 |
- |
9 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
- |
- |
- |
3+9 |
|
|
2+0 |
- |
9+9 |
- |
4+5 |
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
12 |
|
|
2 |
- |
|
- |
|
- |
7 |
|
|
5 |
3 |
|
7 |
9 |
1 |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
|
3 |
1 |
- |
- |
1+2 |
|
|
- |
- |
1+8 |
- |
- |
2 |
P |
R |
I |
N |
C |
I |
P |
I |
A |
M |
A |
T |
H |
E |
M |
A |
T |
I |
C |
A |
- |
- |
3 |
|
|
2 |
|
9 |
|
9 |
- |
MATHEMATICS |
- |
- |
- |
4 |
|
42 |
15 |
|
2 |
|
18 |
9 |
|
2 |
|
21 |
3 |
|
1 |
|
9 |
9 |
|
2 |
|
22 |
4 |
|
|
MATHEMATICS |
|
|
|
|
|
1+1+2 |
4+0 |
3+1 |
|
MATHEMATICS |
|
|
|
THE MAGIC MOUNTAIN
Thomas Mann
1875-1955
Page 417
"I preach mathematics."
9 |
PRINCIPIA |
95 |
59 |
5 |
11 |
MATHEMATICA |
94 |
40 |
4 |
20 |
First Total |
189 |
99 |
9 |
2+0 |
Add to Reduce |
1+8+9 |
9+9 |
- |
2 |
Second Total |
18 |
18 |
9 |
- |
Reduce to Deduce |
1+8 |
1+8 |
- |
2 |
Essence of Number |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
3 |
3 |
3 |
|
|
|
|
A |
1 |
1 |
1 |
|
|
|
|
|
12 |
3 |
3 |
|
|
|
|
|
3 |
3 |
3 |
|
|
|
|
|
21 |
3 |
3 |
|
|
|
|
|
12 |
3 |
3 |
|
|
|
|
|
21 |
3 |
3 |
|
|
|
|
S |
19 |
10 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9+2 |
2+9 |
2+9 |
|
|
1+8 |
|
|
|
|
|
|
|
|
|
|
1+1 |
1+1 |
1+1 |
|
|
|
|
|
|
|
|
|
|
|
|
CURRICULUM |
|
|
- |
|
C |
3 |
3 |
|
|
U |
21 |
3 |
|
|
R |
18 |
9 |
|
|
R |
18 |
9 |
|
|
I |
9 |
9 |
|
|
C |
3 |
3 |
|
|
U |
21 |
3 |
|
|
L |
12 |
3 |
|
|
U |
21 |
3 |
|
|
M |
13 |
4 |
|
10 |
CURRICULUM |
139 |
49 |
49 |
1+0 |
- |
1+3+9 |
4+9 |
4+9 |
1 |
CURRICULUM |
13 |
13 |
13 |
- |
- |
1+3 |
1+3 |
1+3 |
1 |
CURRICULUM |
4 |
4 |
4 |
|
CURRICULUM |
|
|
- |
|
|
|
|
|
C |
3 |
3 |
|
|
3 |
|
|
|
U |
21 |
3 |
|
|
3 |
|
|
|
R |
18 |
9 |
|
|
|
|
9 |
|
R |
18 |
9 |
|
|
|
|
9 |
|
I |
9 |
9 |
|
|
|
|
9 |
|
C |
3 |
3 |
|
|
3 |
|
|
|
U |
21 |
3 |
|
|
3 |
|
|
|
L |
12 |
3 |
|
|
3 |
|
|
|
U |
21 |
3 |
|
|
3 |
|
|
|
M |
13 |
4 |
|
|
|
4 |
|
10 |
CURRICULUM |
139 |
49 |
49 |
|
18 |
4 |
27 |
1+0 |
- |
1+3+9 |
4+9 |
4+9 |
|
1+8 |
- |
2+7 |
1 |
CURRICULUM |
13 |
13 |
13 |
|
9 |
4 |
9 |
- |
- |
1+3 |
1+3 |
1+3 |
|
- |
- |
- |
1 |
CURRICULUM |
4 |
4 |
4 |
|
9 |
4 |
9 |
- |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
K |
O |
I |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
8 |
|
|
|
|
9 |
|
6 |
9 |
+ |
= |
|
3+2 |
= |
|
|
|
= |
|
- |
- |
|
|
|
8 |
|
|
|
|
9 |
|
15 |
9 |
+ |
= |
|
4+1 |
= |
|
|
|
= |
|
- |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
K |
O |
I |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
4 |
1 |
2 |
|
5 |
4 |
1 |
2 |
|
2 |
|
|
+ |
= |
|
2+1 |
= |
|
|
|
= |
|
- |
- |
13 |
1 |
20 |
|
5 |
13 |
1 |
20 |
|
11 |
|
|
+ |
= |
|
8+4 |
= |
|
1+2 |
|
= |
|
- |
|
M |
A |
T |
H |
E |
M |
A |
T |
I |
K |
O |
I |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
13 |
1 |
20 |
8 |
5 |
13 |
1 |
20 |
9 |
11 |
15 |
9 |
+ |
= |
|
1+2+5 |
= |
|
|
|
= |
|
- |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
2 |
6 |
9 |
+ |
= |
|
5+3 |
= |
|
|
|
= |
|
- |
12 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
K |
O |
I |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
1 |
- |
- |
- |
- |
1 |
- |
- |
- |
|
- |
|
|
1 |
occurs |
x |
2 |
= |
2 |
= |
2 |
- |
- |
- |
- |
2 |
- |
- |
- |
- |
2 |
- |
2 |
- |
- |
|
|
2 |
occurs |
x |
3 |
= |
6 |
= |
6 |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
3 |
|
|
- |
- |
- |
- |
- |
- |
- |
4 |
- |
- |
- |
- |
4 |
- |
- |
- |
- |
- |
- |
|
|
4 |
occurs |
x |
2 |
= |
8 |
= |
8 |
- |
- |
- |
- |
- |
- |
5 |
- |
- |
- |
- |
- |
- |
- |
|
|
5 |
occurs |
x |
1 |
= |
5 |
= |
5 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
6 |
- |
- |
- |
6 |
occurs |
x |
1 |
= |
6 |
= |
6 |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
7 |
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
8 |
occurs |
x |
1 |
= |
8 |
= |
8 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
- |
9 |
|
|
9 |
occurs |
x |
2 |
= |
18 |
1+8 |
9 |
10 |
12 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
K |
O |
I |
- |
- |
|
|
|
|
|
|
|
|
1+0 |
1+2 |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
- |
9 |
- |
- |
3+5 |
|
|
1+2 |
- |
5+3 |
- |
4+4 |
1 |
3 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
K |
O |
I |
- |
- |
8 |
|
|
3 |
|
8 |
|
8 |
- |
- |
4 |
1 |
2 |
8 |
5 |
4 |
1 |
2 |
9 |
2 |
6 |
9 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
1 |
3 |
M |
A |
T |
H |
E |
M |
A |
T |
I |
K |
O |
I |
- |
- |
8 |
|
|
3 |
|
8 |
|
8 |
Nature's Numbers
Ian Stewart 1995
Numerology is the easiest-and consequently the most dangerous-method for finding patterns. It is easy because anybody can do it and dangerous for the same reason. The difficulty lies in distinguishing significant numerical patterns from accidental ones. Here's a case in point. Kepler was fascinated with patterns in nature, and he devoted much of his life to looking for them in the behaviour of the planets. He devised a simple and tidy theory for the existence of precisely six planets (in his time only Mercury, Venus, Earth, Mars, Jupiter, and Saturn were known). He also discovered a very strange pattern relating the orbital period of a /
planet- the time it takes to go once around the Sun-to its distance from the Sun. Recall that the square of a number is what you get when you multiply it by itself: for example, the square of 4 is 4 x 4 = 16. Similarly, the cube is what you get when you multiply it by itself twice: for example, the cube of 4 is 4 x 4 x 4 = 64. Kepler found that if you take the cube of the distance of any planet from the Sun and divide it by the square of its orbital period, you always get the same number. It was not an especially elegant number, but it was the same for all six planets.
Which of these numerological observations is the more significant? The verdict of posterity is that it is the second one, the complicated and rather arbitrary calculation with squares and cubes. This numerical pattern was one of the key steps towards Isaac Newton's theory of gravity, which has explained all sorts of puzzles about the motion of stars and planets. In contrast, Kepler's neat, tidy theory for the number of planets has been buried without trace. For a start it must have been wrong, because we now know of nine planets, not six. There could be even more, farther out from the Sun, and small enough to be undetectable But more important, we no longer expect to find a neat, tidy theory for the number of planets. We think that the Solar System condensed from a cloud of gas surrounding the Sun, and the number of planets presumably depended on the amount of matter in the gas cloud, how it was distributed, and how fast and in what directions it was moving. An equally plausible gas cloud could have given us eight planets, or eleven; the number is accidental, depending on the initial conditions of the gas cloud, rather than universal, reflecting a general law of nature"
Page 6
" The big problem with numerological pattern-seeking is that it generates millions of accidentals for each universal. Nor is it always obvious which is which. For example, there are three stars, roughly equally spaced and in a straight line, in the belt of the constellation Orion. Is that a clue to a significant law of nature?
Here's a similar question. Io, Europa, and Ganymede are three of Jupiter's larger satellites. They orbit the planet in , respectively, 1.77, 3.55, and 7.16 days. Each of these numbers is almost exactly twice the previous one. Is that a significant pattern? Three stars in a row, in terms of orbital period. Which pattern if either, is an important clue..."
"… In addition to numerical patterns there are geometric ones…"
"… Until recently the main shapes that appealed to mathematicians were very simple ones: triangles, squares, pen / Page 7 /tagons, hexagons, circles, ellipses, spirals, cubes, spheres, cones, and so on. All of these shapes can be found in nature, although some are far more common, or more evident, than others. The rainbow, for example, is a collection of circles, one for each colour. We don't normally see the entire circle just an arc; but rainbows seen from the air can be complete circles. You also see circles in the ripples on a pond, in the human eye, and on butterflies wings.
Talking of ripples, the flow of fluids provides an inexhaustible supply of nature's patterns. There are waves of many different kinds-surging toward a beach in parallel ranks, spreading in a V-shape behind a moving boat, radiating outward from an underwater earthquake…"
"…There are swirling spiral whirlpools and tiny vortices. And there is the apparently structureless, random frothing of turbulent flow, one of the great enigmas of mathematics and physics. There are similar patterns in the atmosphere, too, the most dramatic being the vast spiral of a hurricane…"
"…There are also wave patterns on land. The most strikingly mathematical landscapes on Earth are to be found in the great ergs, or sand oceans, of the Arabian and Sahara deserts. Even when the wind blows steadily in a fixed direction, sand dunes form. The simplest pattern is that of transverse dunes, which-just like ocean waves-line up in parallel straight rows at right angles to the prevailing wind direction. Sometimes the rows themselves become wavy in which case they are called barchanoid ridges; sometimes they break up into / Page 8 / innumerable shield-shaped barchan dunes. If the sand is slightly moist, and there is a little vegetation to bind it together, then you may find parabolic dunes-shaped like a U, with the rounded end pointing in the direction of the wind. These sometimes occur in clusters, and they resemble the teeth of a rake. If the wind direction is variable, other forms become possible. For example, clusters of sand shaped dunes can form, each having several irregular arms radiating from a central peak. They arrange themselves in a random pattern of spots.
Chapter 6
Page 81
"Nature's symmetries can be found on every scale, from the structure of subatomic particles to that of the entire universe. Many chemical molecules are symmetric. The methane molecule is a tetrahedron - a triangular-sided pyramid - with one carbon atom at its center and four hydrogen atoms at its corners Benzene has the sixfold symmetry of a regular hexagon. The fashionable molecule buckminsterfullerene is a truncated icosahedral cage of sixty carbon atoms. (An icosahedron is a regular solid with twenty triangular faces;
"truncated" means that the corners are cut off.) Its symmetry lends it a remarkable stability, which has opened up new possibilities for organic chemistry.
On a slightly larger scale than molecules, we find symmetries in cellular structure; at the heart of cellular replication lies a tiny piece of mechanical engineering. Deep within each / Page 82 / living cell, there is a rather shapeless structure known as the centrosome, which sprouts long thin microtubules, basic components of the cell's internal "skeleton", like a diminutive sea urchin. Centrsomes were first discovered in 1887 and play an important role in organizing cell division. How-ever in one respect the structure of the centresome is astonishingly symmetric. Inside it has two structures, known as centrioles, positioned at right angles to each other. Each centriole is cylindrical, made from twenty-seven microtubules fused together along their lengths in threes, and arranged with perfect ninefold symmetry. The microtubules themselves also have an astonishingley regular symmetric form. They are hollow tubes, made from a perfect regular checkerboard pattern of units that contain two distinct proteins, alpha- and betatubulin. One day, perhaps, we will understand why nature chose these symmetric forms. But it is amazing to see symmetric structures at the core of a living cell. "
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Add to Reduce |
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1+1 |
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2+0 |
Reduce to Deduce |
1+1+8 |
1+0+8 |
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Essence of Number |
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A B C D E F G H I J K L M N O P Q R S T U V W X Y Z = 351 = Z Y X W V U T S R Q P O N M L K J I H G F E D C B A
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z = 126 = Z Y X W V U T S R Q P O N M L K J I H G F E D C B A
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z = 9 = Z Y X W V U T S R Q P O N M L K J I H G F E D C B A
ABCDEFGH I JKLMNOPQ R STUVWXYZ = 351 = ZYXWVUTS R QPONMLKJ I HGFEDCBA
ABCDEFGH I JKLMNOPQ R STUVWXYZ = 126 = ZYXWVUTS R QPONMLKJ I HGFEDCBA
ABCDEFGH I JKLMNOPQ R STUVWXYZ = 9 = ZYXWVUTS R QPONMLKJ I HGFEDCBA
www.merriam-webster.com/dictionary/algorithm
a procedure for solving a mathematical problem (as of finding the greatest common divisor) in a finite number of steps that frequently involves repetition of an ...
algorithm [ˈælgəˌrɪðəm]
n
1. (Mathematics) a logical arithmetical or computational procedure that if correctly applied ensures the solution of a problem Compare heuristic
2. (Mathematics) Logic Maths a recursive procedure whereby an infinite sequence of terms can be generated Also called algorism
[changed from algorism, through influence of Greek arithmos number]
algorithmic adj
aal·go·rithm (lg-rm)
n.
A step-by-step problem-solving procedure, especially an established, recursive computational procedure for solving a problem in a finite number of steps.
algorithmically adv
algorithm (lg-rthm)
A finite set of unambiguous instructions performed in a prescribed sequence to achieve a goal, especially a mathematical rule or procedure used to compute a desired result. Algorithms are the basis for most computer programming.
Noun 1. algorithm - a precise rule (or set of rules) specifying how to solve some problem
algorithmic program, algorithmic rule
formula, rule - (mathematics) a standard procedure for solving a class of mathematical problems; "he determined the upper bound with Descartes' rule of signs"; "he gave us a general formula for attacking polynomials"
sorting algorithm - an algorithm for sorting a list
stemming algorithm, stemmer - an algorithm for removing inflectional and derivational endings in order to reduce word forms to a common stem algorithm
any methodology for solving a certain kind of problem.
See also: Mathematics
Algorithm
From Wikipedia, the free encyclopedia
Flow chart of an algorithm (Euclid's algorithm) for calculating the greatest common divisor (g.c.d.) of two numbers a and b in locations named A and B. The algorithm proceeds by successive subtractions in two loops: IF the test B ≥ A yields "yes" (or true) (more accurately the number b in location B is greater than or equal to the number a in location A) THEN, the algorithm specifies B ← B − A (meaning the number b − a replaces the old b). Similarly, IF A > B, THEN A ← A − B. The process terminates when (the contents of) B is 0, yielding the g.c.d. in A. (Algorithm derived from Scott 2009:13; symbols and drawing style from Tausworthe 1977).
In mathematics and computer science, an algorithm (i/ˈælɡərɪðəm/) is a step-by-step procedure for calculations. Algorithms are used for calculation, data processing, and automated reasoning.
More precisely, an algorithm is an effective method expressed as a finite list[1] of well-defined instructions[2] for calculating a function.[3] Starting from an initial state and initial input (perhaps empty),[4] the instructions describe a computation that, when executed, will proceed through a finite [5] number of well-defined successive states, eventually producing "output"[6] and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input.[7]
Though al-Khwārizmī's algorism referred to the rules of performing arithmetic using Hindu-Arabic numerals and the systematic solution of linear and quadratic equations, a partial formalization of what would become the modern algorithm began with attempts to solve the Entscheidungsproblem (the "decision problem") posed by David Hilbert in 1928. Subsequent formalizations were framed as attempts to define "effective calculability"[8] or "effective method";[9] those formalizations included the Gödel–Herbrand–Kleene recursive functions of 1930, 1934 and 1935, Alonzo Church's lambda calculus of 1936, Emil Post's "Formulation 1" of 1936, and Alan Turing's Turing machines of 1936–7 and 1939. Giving a formal definition of algorithms, corresponding to the intuitive notion, remains a challenging problem.[10]
Informal definition
For a detailed presentation of the various points of view around the definition of "algorithm" see Algorithm characterizations. For examples of simple addition algorithms specified in the detailed manner described in Algorithm characterizations, see Algorithm examples.
While there is no generally accepted formal definition of "algorithm," an informal definition could be "a set of rules that precisely defines a sequence of operations."[11] For some people, a program is only an algorithm if it stops eventually; for others, a program is only an algorithm if it stops before a given number of calculation steps.[12]
A prototypical example of an algorithm is Euclid's algorithm to determine the maximum common divisor of two integers; an example (there are others) is described by the flow chart above and as an example in a later section.
Boolos & Jeffrey (1974, 1999) offer an informal meaning of the word in the following quotation:
No human being can write fast enough, or long enough, or small enough† ( †"smaller and smaller without limit ...you'd be trying to write on molecules, on atoms, on electrons") to list all members of an enumerably infinite set by writing out their names, one after another, in some notation. But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.[13]
The term "enumerably infinite" means "countable using integers perhaps extending to infinity." Thus, Boolos and Jeffrey are saying that an algorithm implies instructions for a process that "creates" output integers from an arbitrary "input" integer or integers that, in theory, can be chosen from 0 to infinity. Thus an algorithm can be an algebraic equation such as y = m + n—two arbitrary "input variables" m and n that produce an output y. But various authors' attempts to define the notion indicate that the word implies much more than this, something on the order of (for the addition example):
Precise instructions (in language understood by "the computer")[14] for a fast, efficient, "good"[15] process that specifies the "moves" of "the computer" (machine or human, equipped with the necessary internally contained information and capabilities)[16] to find, decode, and then process arbitrary input integers/symbols m and n, symbols + and = ... and "effectively"[17] produce, in a "reasonable" time,[18] output-integer y at a specified place and in a specified format.
The concept of algorithm is also used to define the notion of decidability. That notion is central for explaining how formal systems come into being starting from a small set of axioms and rules. In logic, the time that an algorithm requires to complete cannot be measured, as it is not apparently related with our customary physical dimension. From such uncertainties, that characterize ongoing work, stems the unavailability of a definition of algorithm that suits both concrete (in some sense) and abstract usage of the term.
[edit] Formalization
Algorithms are essential to the way computers process data. Many computer programs contain algorithms that detail the specific instructions a computer should perform (in a specific order) to carry out a specified task, such as calculating employees' paychecks or printing students' report cards. Thus, an algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete system. Authors who assert this thesis include Minsky (1967), Savage (1987) and Gurevich (2000):
Minsky: "But we will also maintain, with Turing . . . that any procedure which could "naturally" be called effective, can in fact be realized by a (simple) machine. Although this may seem extreme, the arguments . . . in its favor are hard to refute".[19]
Gurevich: "...Turing's informal argument in favor of his thesis justifies a stronger thesis: every algorithm can be simulated by a Turing machine ... according to Savage [1987], an algorithm is a computational process defined by a Turing machine".[20]
Typically, when an algorithm is associated with processing information, data is read from an input source, written to an output device, and/or stored for further processing. Stored data is regarded as part of the internal state of the entity performing the algorithm. In practice, the state is stored in one or more data structures.
For some such computational process, the algorithm must be rigorously defined: specified in the way it applies in all possible circumstances that could arise. That is, any conditional steps must be systematically dealt with, case-by-case; the criteria for each case must be clear (and computable).
Because an algorithm is a precise list of precise steps, the order of computation will always be critical to the functioning of the algorithm. Instructions are usually assumed to be listed explicitly, and are described as starting "from the top" and going "down to the bottom", an idea that is described more formally by flow of control.
So far, this discussion of the formalization of an algorithm has assumed the premises of imperative programming. This is the most common conception, and it attempts to describe a task in discrete, "mechanical" means. Unique to this conception of formalized algorithms is the assignment operation, setting the value of a variable. It derives from the intuition of "memory" as a scratchpad. There is an example below of such an assignment.
For some alternate conceptions of what constitutes an algorithm see functional programming and logic programming.
[edit] Expressing algorithms
Algorithms can be expressed in many kinds of notation, including natural languages, pseudocode, flowcharts, programming languages or control tables (processed by interpreters). Natural language expressions of algorithms tend to be verbose and ambiguous, and are rarely used for complex or technical algorithms. Pseudocode, flowcharts and control tables are structured ways to express algorithms that avoid many of the ambiguities common in natural language statements. Programming languages are primarily intended for expressing algorithms in a form that can be executed by a computer, but are often used as a way to define or document algorithms.
There is a wide variety of representations possible and one can express a given Turing machine program as a sequence of machine tables (see more at finite state machine, state transition table and control table), as flowcharts (see more at state diagram), or as a form of rudimentary machine code or assembly code called "sets of quadruples" (see more at Turing machine).
Representations of algorithms can be classed into three accepted levels of Turing machine description:[21]
1 High-level description:
"...prose to describe an algorithm, ignoring the implementation details. At this level we do not need to mention how the machine manages its tape or head." 2 Implementation description:
"...prose used to define the way the Turing machine uses its head and the way that it stores data on its tape. At this level we do not give details of states or transition function." 3 Formal description:
Most detailed, "lowest level", gives the Turing machine's "state table". For an example of the simple algorithm "Add m+n" described in all three levels see Algorithm examples.
[edit] Implementation
Most algorithms are intended to be implemented as computer programs. However, algorithms are also implemented by other means, such as in a biological neural network (for example, the human brain implementing arithmetic or an insect looking for food), in an electrical circuit, or in a mechanical device.
[edit] Computer algorithms
Flowchart examples of the canonical Böhm-Jacopini structures: the SEQUENCE (rectangles descending the page), the WHILE-DO and the IF-THEN-ELSE. The three structures are made of the primitive conditional GOTO (IF test=true THEN GOTO step xxx) (a diamond), the unconditional GOTO (rectangle), various assignment operators (rectangle), and HALT (rectangle). Nesting of these structures inside assignment-blocks result in complex diagrams (cf Tausworthe 1977:100,114).
In computer systems, an algorithm is basically an instance of logic written in software by software developers to be effective for the intended "target" computer(s), in order for the target machines to produce output from given input (perhaps null).
"Elegant" (compact) programs, "good" (fast) programs : The notion of "simplicity and elegance" appears informally in Knuth and precisely in Chaitin:
Knuth: ". . .we want good algorithms in some loosely defined aesthetic sense. One criterion . . . is the length of time taken to perform the algorithm . . .. Other criteria are adaptability of the algorithm to computers, its simplicity and elegance, etc"[22] Chaitin: " . . . a program is 'elegant,' by which I mean that it's the smallest possible program for producing the output that it does"[23]
Chaitin prefaces his definition with: "I'll show you can't prove that a program is 'elegant'"—such a proof would solve the Halting problem (ibid).
Algorithm versus function computable by an algorithm: For a given function multiple algorithms may exist. This will be true, even without expanding the available instruction set available to the programmer. Rogers observes that "It is . . . important to distinguish between the notion of algorithm, i.e. procedure and the notion of function computable by algorithm, i.e. mapping yielded by procedure. The same function may have several different algorithms".[24]
Unfortunately there may be a tradeoff between goodness (speed) and elegance (compactness)—an elegant program may take more steps to complete a computation than one less elegant. An example of using Euclid's algorithm will be shown below.
Computers (and computors), models of computation: A computer (or human "computor"[25]) is a restricted type of machine, a "discrete deterministic mechanical device"[26] that blindly follows its instructions.[27] Melzak's and Lambek's primitive models[28] reduced this notion to four elements: (i) discrete, distinguishable locations, (ii) discrete, indistinguishable counters[29] (iii) an agent, and (iv) a list of instructions that are effective relative to the capability of the agent.[30]
Minsky describes a more congenial variation of Lambek's "abacus" model in his "Very Simple Bases for Computability".[31] Minsky's machine proceeds sequentially through its five (or six depending on how one counts) instructions unless either a conditional IF–THEN GOTO or an unconditional GOTO changes program flow out of sequence. Besides HALT, Minsky's machine includes three assignment (replacement, substitution)[32] operations: ZERO (e.g. the contents of location replaced by 0: L ← 0), SUCCESSOR (e.g. L ← L+1), and DECREMENT (e.g. L ← L − 1).[33] Rarely will a programmer have to write "code" with such a limited instruction set. But Minsky shows (as do Melzak and Lambek) that his machine is Turing complete with only four general types of instructions: conditional GOTO, unconditional GOTO, assignment/replacement/substitution, and HALT.[34]
Simulation of an algorithm: computer (computor) language: Knuth advises the reader that "the best way to learn an algorithm is to try it . . . immediately take pen and paper and work through an example".[35] But what about a simulation or execution of the real thing? The programmer must translate the algorithm into a language that the simulator/computer/computor can effectively execute. Stone gives an example of this: when computing the roots of a quadratic equation the computor must know how to take a square root. If they don't then for the algorithm to be effective it must provide a set of rules for extracting a square root.[36]
This means that the programmer must know a "language" that is effective relative to the target computing agent (computer/computor).
But what model should be used for the simulation? Van Emde Boas observes "even if we base complexity theory on abstract instead of concrete machines, arbitrariness of the choice of a model remains. It is at this point that the notion of simulation enters".[37] When speed is being measured, the instruction set matters. For example, the subprogram in Euclid's algorithm to compute the remainder would execute much faster if the programmer had a "modulus" (division) instruction available rather than just subtraction (or worse: just Minsky's "decrement").
Structured programming, canonical structures: Per the Church-Turing thesis any algorithm can be computed by a model known to be Turing complete, and per Minsky's demonstrations Turing completeness requires only four instruction types—conditional GOTO, unconditional GOTO, assignment, HALT. Kemeny and Kurtz observe that while "undisciplined" use of unconditional GOTOs and conditional IF-THEN GOTOs can result in "spaghetti code" a programmer can write structured programs using these instructions; on the other hand "it is also possible, and not too hard, to write badly structured programs in a structured language".[38] Tausworthe augments the three Böhm-Jacopini canonical structures:[39] SEQUENCE, IF-THEN-ELSE, and WHILE-DO, with two more: DO-WHILE and CASE.[40] An additional benefit of a structured program will be one that lends itself to proofs of correctness using mathematical induction.[41]
Canonical flowchart symbols[42]: The graphical aide called a flowchart offers a way to describe and document an algorithm (and a computer program of one). Like program flow of a Minsky machine, a flowchart always starts at the top of a page and proceeds down. Its primary symbols are only 4: the directed arrow showing program flow, the rectangle (SEQUENCE, GOTO), the diamond (IF-THEN-ELSE), and the dot (OR-tie). The Böhm-Jacopini canonical structures are made of these primitive shapes. Sub-structures can "nest" in rectangles but only if a single exit occurs from the superstructure. The symbols and their use to build the canonical structures are shown in the diagram.
EVOLVE LOVE EVOLVE
LOVES SOLVE LOVES
EVOLVE LOVE EVOLVE
LOGARITHM
Logarithm - Wikipedia
en.wikipedia.org › wiki › Logarithm
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed ...
Logarithmic scale · ?Natural logarithm · ?Common logarithm · ?Binary logarithm
Introduction to Logarithms - Math is Fun
www.mathsisfun.com › algebra › logarithms
Introduction to Logarithms. In its simplest form, a logarithm answers the question: How many of one number do we multiply to get another number?
?Working with Exponents · ?Logarithms Can Have Decimals · ?Exponents, Roots
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LOGARITHM
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MINUS THE 5
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Algorithm - Wikipedia, the free encyclopedia en.wikipedia.org/wiki/Algorithm
In mathematics and computer science, an algorithm is a step-by-step procedure for calculations. Algorithms are used for calculation, data processing, and ...
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ALGORITHM |
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NUMBER
9
THE SEARCH FOR THE SIGMA CODE
Cecil Balmond 1998
Preface to the New Edition
Page 5
Twelve years ago a little boy entered my imagination as he hopped across the centuries and played with numbers. I began to see how the simple architecture of our decimal system could be constructed in secret ways — not a building project this time but an abstract one. On the surface of our arithmetic countless combinations of numbers take part in tedious and exacting calculations but underneath it all there is pattern, governed by a repeating code of integers. The Sigma Code reduces numbers to a single digit and the illusion of the many is seen to be but the reflection of a few. This is not a book on maths: this is a book for anyone who can carry out simple sums in their heads, and who won't be short-changed knowingly.
When Number 9 first came out I received mail from many who played with numbers. They chased patterns; some had special numbers and even mystical systems. I was tempted to write about numerology but resisted. I wanted to write about the intricacy of what the.. numbers actually do and leave the reader to wonder about the larger irrational that seems to hover around such constructions.
If I were writing this book today the numbers would have featured in a wider context of structuring nature's patterns, and also playing the role of animator in algorithms that create unique architectural forms and shapes. I would also include my previous research into other base systems. But this book was a first step which came from a child-like urge, like playing with building blocks, to build out of our numbers — just the simple 1, 2, 3, up to number 9.
RESEARCH R E SEARCH ER RESEARCH
THE LIGHT IS RISING NOW RISING IS THE LIGHT
NUMBER = 534259 = 1 = 534259 NUMBER
NUMBER = 234559 NUMBER
NUMBER = 534259 = 1 = 534259 NUMBER
NUMBERS = 5342591 = 2 = 5342591 NUMBERS
SBUMNER = 1234559 = SBUMNER
NUMBERS = 5342591 = 2 = 5342591 NUMBERS
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THE
BALANCING
ONE TWO THREE FOUR
FIVE
NINE EIGHT SEVEN SIX
4 FIVE 42 24 6
1 2 3 4 5 6 7 8 9 9 8 7 6 5 4 3 2 1
15 ONE TWO THREE FOUR 208 82 1
4 FIVE 42 24 6
17 NINE EIGHT SEVEN SIX 208 91 1
1234 5 6789
prime number - Whatis Techtarget
https://whatis.techtarget.com/definition/prime-number
A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole numbers that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
Prime number - Wikipedia
https://en.wikipedia.org/wiki/Prime_number
The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (sequence A000040 in the OEIS).
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 6 is composite because it is the product of two numbers (2 × 3) that are both smaller than 6. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.
There are infinitely many primes, as demonstrated by Euclid around 300 BC. No known simple formula separates prime numbers from composite numbers. However, the distribution of primes within the natural numbers in the large can be statistically modelled. The first result in that direction is the prime number theorem, proven at the end of the 19th century, which says that the probability of a randomly chosen number being prime is inversely proportional to its number of digits, that is, to its logarithm.
Several historical questions regarding prime numbers are still unsolved. These include Goldbach's conjecture, that every even integer greater than 2 can be expressed as the sum of two primes, and the twin prime conjecture, that there are infinitely many pairs of primes having just one even number between them. Such questions spurred the development of various branches of number theory, focusing on analytic or algebraic aspects of numbers. Primes are used in several routines in information technology, such as public-key cryptography, which relies on the difficulty of factoring large numbers into their prime factors. In abstract algebra, objects that behave in a generalized way like prime numbers include prime elements and prime ideals.
Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. There are several proofs of the theorem.
Prime numbers
www-groups.dcs.st-and.ac.uk/history/HistTopics/Prime_numbers.html
Euclid also showed that if the number 2n - 1 is prime then the number 2n-1(2n - 1) is a perfect number. The mathematician Euler (much later in 1747) was able to ...
Prime numbers
Number theory index History Topics Index
Version for printing
Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians.
The mathematicians of Pythagoras's school (500 BC to 300 BC) were interested in numbers for their mystical and numerological properties. They understood the idea of primality and were interested in perfect and amicable numbers.
A perfect number is one whose proper divisors sum to the number itself. e.g. The number 6 has proper divisors 1, 2 and 3 and 1 + 2 + 3 = 6, 28 has divisors 1, 2, 4, 7 and 14 and 1 + 2 + 4 + 7 + 14 = 28.
A pair of amicable numbers is a pair like 220 and 284 such that the proper divisors of one number sum to the other and vice versa.
You can see more about these numbers in the History topics article Perfect numbers.
By the time Euclid's Elements appeared in about 300 BC, several important results about primes had been proved. In Book IX of the Elements, Euclid proves that there are infinitely many prime numbers. This is one of the first proofs known which uses the method of contradiction to establish a result. Euclid also gives a proof of the Fundamental Theorem of Arithmetic: Every integer can be written as a product of primes in an essentially unique way.
Euclid also showed that if the number 2n - 1 is prime then the number 2n-1(2n - 1) is a perfect number. The mathematician Euler (much later in 1747) was able to show that all even perfect numbers are of this form. It is not known to this day whether there are any odd perfect numbers.
In about 200 BC the Greek Eratosthenes devised an algorithm for calculating primes called the Sieve of Eratosthenes.
There is then a long gap in the history of prime numbers during what is usually called the Dark Ages.
PRIME NUMBERS
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34 |
7 |
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38 |
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1+5+3 |
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1+7 |
- |
1+2 |
Reduce to Deduce |
1+5+3 |
7+2 |
- |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
Essence of
Number |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P |
= |
2 |
- |
5 |
PRIME |
61 |
34 |
7 |
|
|
|
|
|
|
|
|
|
|
N |
= |
2 |
- |
7 |
NUMBERS |
92 |
38 |
2 |
|
|
|
|
|
|
|
|
|
|
- |
- |
17 |
- |
12 |
Add to Reduce |
|
|
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
21 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
1 |
|
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+5 |
|
|
|
2+7 |
P |
= |
2 |
- |
5 |
PRIME |
61 |
34 |
7 |
|
|
|
|
|
|
|
|
|
|
N |
= |
2 |
- |
7 |
NUMBERS |
92 |
38 |
2 |
|
|
|
|
|
|
|
|
|
|
- |
- |
17 |
- |
12 |
Add to Reduce |
|
|
9 |
|
|
|
|
|
|
|
|
|
|
- |
- |
1+7 |
- |
1+2 |
Reduce to Deduce |
1+5+3 |
7+2 |
- |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
Essence of
Number |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P |
= |
2 |
- |
5 |
PRIME |
61 |
34 |
7 |
|
|
|
|
|
|
|
|
|
|
N |
= |
2 |
- |
7 |
NUMBERS |
92 |
38 |
2 |
|
|
|
|
|
|
|
|
|
|
- |
- |
17 |
- |
12 |
Add to Reduce |
|
|
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
1 |
|
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
21 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+5 |
|
|
|
2+7 |
P |
= |
2 |
- |
5 |
PRIME |
61 |
34 |
7 |
|
|
|
|
|
|
|
|
|
|
N |
= |
2 |
- |
7 |
NUMBERS |
92 |
38 |
2 |
|
|
|
|
|
|
|
|
|
|
- |
- |
17 |
- |
12 |
Add to Reduce |
|
|
9 |
|
|
|
|
|
|
|
|
|
|
- |
- |
1+7 |
- |
1+2 |
Reduce to Deduce |
1+5+3 |
7+2 |
- |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
Essence of
Number |
|
|
|
|
|
|
|
|
|
|
|
|
|
6 +8 = 14 1+4 = 5
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
P |
= |
2 |
- |
5 |
PRIME |
61 |
34 |
7 |
|
|
|
|
|
|
|
|
N |
= |
2 |
- |
7 |
NUMBERS |
92 |
38 |
2 |
|
|
|
|
|
|
|
|
- |
- |
17 |
- |
12 |
Add to Reduce |
|
|
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
9 |
1 |
|
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
21 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
11 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+5 |
|
2+7 |
P |
= |
2 |
- |
5 |
PRIME |
61 |
34 |
7 |
|
|
|
|
|
|
|
|
N |
= |
2 |
- |
7 |
NUMBERS |
92 |
38 |
2 |
|
|
|
|
|
|
|
|
- |
- |
17 |
- |
12 |
Add to Reduce |
|
|
9 |
|
|
|
|
|
|
|
|
- |
- |
1+7 |
- |
1+2 |
Reduce to Deduce |
1+5+3 |
7+2 |
- |
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
Essence of
Number |
|
|
|
|
|
|
|
|
|
|
|
I = 9 9 = I
ME = 9 9 = ME
BRAIN + BODY = 9 9 = BODY + BRAIN
LIGHT + DARK = 9 9 = DARK + LIGHT
ENERGY + MASS = 9 9 = MASS +ENERGY
MIND + MATTER = 9 9 = MATTER + MIND
MAGNETIC + FIELD = 9 9 = FIELD + MAGNETIC
POSITIVE + NEGATIVE = 9 9 = NEGATIVE + POSITIVE
973 OM AZAZAZAZAZAZAZAZAZZAZAZAZAZAZAZAZAZAOM 973
- |
7 |
|
|
|
E |
|
R |
|
|
|
|
|
|
|
|
- |
- |
- |
1 |
3 |
7 |
5 |
2 |
9 |
1 |
|
|
|
2+8 |
|
|
1+0 |
|
- |
- |
1 |
12 |
7 |
5 |
2 |
18 |
1 |
|
|
|
4+6 |
|
|
1+0 |
|
- |
7 |
|
|
|
E |
|
R |
|
|
|
|
|
|
|
|
- |
- |
- |
1 |
3 |
7 |
5 |
2 |
9 |
1 |
|
|
|
2+8 |
|
|
1+0 |
|
- |
- |
1 |
12 |
7 |
5 |
2 |
18 |
1 |
|
|
|
4+6 |
|
|
1+0 |
|
- |
7 |
|
|
|
E |
|
R |
|
|
|
|
|
|
|
|
- |
- |
- |
1 |
12 |
7 |
5 |
2 |
18 |
1 |
|
|
|
4+6 |
|
|
1+0 |
|
- |
- |
1 |
3 |
7 |
5 |
2 |
9 |
1 |
|
|
|
2+8 |
|
|
1+0 |
|
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
3 |
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+8 |
|
|
|
|
|
|
9 |
|
|
|
2+7 |
|
|
|
|
2+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
3 |
7 |
5 |
2 |
9 |
1 |
|
|
|
|
|
|
|
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
E |
|
R |
|
|
|
|
|
|
|
|
- |
- |
1 |
3 |
7 |
5 |
2 |
9 |
1 |
|
|
|
2+8 |
|
|
1+0 |
|
- |
1 |
12 |
7 |
5 |
2 |
18 |
1 |
|
|
|
4+6 |
|
|
1+0 |
|
7 |
|
|
|
E |
|
R |
|
|
|
|
|
|
|
|
- |
- |
1 |
3 |
7 |
5 |
2 |
9 |
1 |
|
|
|
2+8 |
|
|
1+0 |
|
- |
1 |
12 |
7 |
5 |
2 |
18 |
1 |
|
|
|
4+6 |
|
|
1+0 |
|
7 |
|
|
|
E |
|
R |
|
|
|
|
|
|
|
|
- |
- |
1 |
12 |
7 |
5 |
2 |
18 |
1 |
|
|
|
4+6 |
|
|
1+0 |
|
- |
1 |
3 |
7 |
5 |
2 |
9 |
1 |
|
|
|
2+8 |
|
|
1+0 |
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
2 |
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
3 |
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
|
|
|
2+7 |
|
|
|
|
2+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
3 |
7 |
5 |
2 |
9 |
1 |
|
|
|
|
|
|
|
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
4 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4+6 |
|
|
|
9+1 |
4+6 |
4+6 |
|
|
|
|
|
1+0 |
|
|
|
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+0 |
|
|
|
1+0 |
1+0 |
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
4 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4+6 |
|
|
|
9+1 |
4+6 |
4+6 |
|
|
|
|
|
1+0 |
|
|
|
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+0 |
|
|
|
1+0 |
1+0 |
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
1 |
|
23 |
5 |
|
|
|
|
|
|
|
|
|
|
|
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9+1 |
4+6 |
4+6 |
|
|
|
|
|
1+0 |
|
|
|
3+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+0 |
1+0 |
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
1 |
|
23 |
5 |
|
|
|
|
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9+1 |
4+6 |
4+6 |
|
1+0 |
3+6 |
|
|
|
|
|
|
|
|
|
|
1+0 |
1+0 |
1+0 |
|
|
|
|
|
|
|
|
|
|
|
ALGEBRA
|
|
|
|
7 |
ALGEBRA |
|
|
|
|
|
|
|
|
|
|
|
|
|
A |
|
|
1 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
L |
|
|
3 |
1 |
L |
12 |
3 |
|
|
|
|
3 |
|
|
|
|
|
|
G |
|
|
7 |
1 |
G |
7 |
7 |
|
|
|
|
|
- |
|
|
|
|
|
E |
|
|
6 |
1 |
E |
5 |
5 |
|
|
|
|
- |
|
|
|
|
|
|
B |
|
|
4 |
1 |
B |
2 |
2 |
|
|
- |
|
|
|
|
|
|
|
|
R |
|
|
5 |
1 |
R |
|
|
|
|
|
- |
|
|
|
|
|
|
|
A |
|
|
1 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
46 |
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
2+8 |
|
- |
- |
4+6 |
2+8 |
2+8 |
- |
|
|
- |
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
1+0 |
|
- |
- |
1+0 |
1+0 |
1+0 |
- |
|
|
- |
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
|
|
|
|
|
|
|
|
|
|
A |
|
|
1 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
L |
|
|
2 |
1 |
L |
12 |
3 |
|
|
|
|
3 |
|
|
|
|
|
|
G |
|
|
3 |
1 |
G |
7 |
7 |
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
4 |
1 |
E |
5 |
5 |
|
|
|
|
- |
|
|
|
|
|
|
B |
|
|
5 |
1 |
B |
2 |
2 |
|
|
- |
|
|
|
|
|
|
|
|
R |
|
|
6 |
1 |
R |
|
|
|
|
|
- |
|
|
|
|
|
|
|
A |
|
|
7 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
46 |
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
2+8 |
|
- |
- |
4+6 |
2+8 |
2+8 |
- |
|
|
- |
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
1+0 |
|
- |
- |
1+0 |
1+0 |
1+0 |
- |
|
|
- |
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
|
|
|
|
|
|
|
|
|
|
A |
|
|
1 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
A |
|
|
7 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
B |
|
|
5 |
1 |
B |
2 |
2 |
|
|
- |
|
|
|
|
|
|
|
|
L |
|
|
2 |
1 |
L |
12 |
3 |
|
|
|
|
3 |
|
|
|
|
|
|
E |
|
|
4 |
1 |
E |
5 |
5 |
|
|
|
|
- |
|
|
|
|
|
|
G |
|
|
3 |
1 |
G |
7 |
7 |
|
|
|
|
|
|
|
|
|
|
|
R |
|
|
6 |
1 |
R |
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
46 |
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
2+8 |
|
- |
- |
4+6 |
2+8 |
2+8 |
- |
|
|
- |
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
1+0 |
|
- |
- |
1+0 |
1+0 |
1+0 |
- |
|
|
- |
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
|
|
|
|
|
|
|
A |
|
|
1 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
A |
|
|
7 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
B |
|
|
5 |
1 |
B |
2 |
2 |
|
|
- |
|
|
|
|
|
L |
|
|
2 |
1 |
L |
12 |
3 |
|
|
|
|
3 |
|
|
|
E |
|
|
4 |
1 |
E |
5 |
5 |
|
|
|
|
- |
|
|
|
G |
|
|
3 |
1 |
G |
7 |
7 |
|
|
|
|
|
|
|
|
R |
|
|
6 |
1 |
R |
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
7 |
ALGEBRA |
46 |
|
|
- |
|
|
|
|
|
|
|
|
2+8 |
|
- |
- |
4+6 |
2+8 |
2+8 |
- |
|
|
- |
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
- |
|
|
|
|
|
|
|
|
1+0 |
|
- |
- |
1+0 |
1+0 |
1+0 |
- |
|
|
- |
|
|
|
|
|
|
|
7 |
ALGEBRA |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
1 |
1 |
E |
5 |
5 |
|
|
|
|
- |
|
|
|
|
|
|
Q |
|
|
2 |
1 |
Q |
17 |
8 |
|
|
|
|
|
- |
|
|
|
|
|
U |
|
|
3 |
1 |
U |
21 |
3 |
|
|
|
|
3 |
|
|
|
|
|
|
A |
|
|
4 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
T |
|
|
5 |
1 |
T |
20 |
2 |
|
|
- |
|
|
|
|
|
|
|
|
I |
|
|
6 |
1 |
I |
|
|
|
|
|
- |
|
|
|
|
|
|
|
O |
|
|
7 |
1 |
O |
15 |
6 |
|
|
|
|
|
|
|
6 |
|
|
|
N |
|
|
8 |
1 |
N |
14 |
5 |
|
|
|
|
- |
|
|
|
|
|
|
S |
|
|
9 |
1 |
S |
|
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
121 |
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
2+8 |
|
- |
- |
1+2+1 |
4+9 |
4+0 |
- |
|
|
- |
|
1+0 |
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
1+0 |
|
- |
- |
- |
1+3 |
- |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
1 |
1 |
E |
5 |
5 |
|
|
|
|
- |
|
|
|
|
|
|
Q |
|
|
2 |
1 |
Q |
17 |
8 |
|
|
|
|
|
|
|
|
|
|
|
U |
|
|
3 |
1 |
U |
21 |
3 |
|
|
|
|
3 |
|
|
|
|
|
|
A |
|
|
4 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
T |
|
|
5 |
1 |
T |
20 |
2 |
|
|
- |
|
|
|
|
|
|
|
|
I |
|
|
6 |
1 |
I |
|
|
|
|
|
- |
|
|
|
|
|
|
|
O |
|
|
7 |
1 |
O |
15 |
6 |
|
|
|
|
|
|
|
6 |
|
|
|
N |
|
|
8 |
1 |
N |
14 |
5 |
|
|
|
|
- |
|
|
|
|
|
|
S |
|
|
9 |
1 |
S |
|
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
121 |
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
4+0 |
|
- |
- |
1+2+1 |
4+9 |
4+0 |
- |
|
|
- |
|
1+0 |
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
- |
- |
1+3 |
- |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
|
|
|
|
|
|
|
|
|
|
A |
|
|
4 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
|
|
|
S |
|
|
9 |
1 |
S |
|
10 |
|
|
|
|
|
|
|
|
|
|
|
T |
|
|
5 |
1 |
T |
20 |
2 |
|
|
- |
|
|
|
|
|
|
|
|
U |
|
|
3 |
1 |
U |
21 |
3 |
|
|
|
|
3 |
|
|
|
|
|
|
E |
|
|
1 |
1 |
E |
5 |
5 |
|
|
|
|
- |
|
|
|
|
|
|
N |
|
|
8 |
1 |
N |
14 |
5 |
|
|
|
|
- |
|
|
|
|
|
|
O |
|
|
7 |
1 |
O |
15 |
6 |
|
|
|
|
|
|
|
6 |
|
|
|
Q |
|
|
2 |
1 |
Q |
17 |
8 |
|
|
|
|
|
|
|
|
|
|
|
I |
|
|
6 |
1 |
I |
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
121 |
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
4+0 |
|
- |
- |
1+2+1 |
4+9 |
4+0 |
- |
|
|
- |
|
1+0 |
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
- |
- |
1+3 |
- |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
|
|
|
|
|
|
|
|
A |
|
|
4 |
1 |
A |
|
1 |
|
|
|
|
|
|
|
|
|
S |
|
|
9 |
1 |
S |
|
10 |
|
|
|
|
|
|
|
|
|
T |
|
|
5 |
1 |
T |
20 |
2 |
|
|
- |
|
|
|
|
|
|
U |
|
|
3 |
1 |
U |
21 |
3 |
|
|
|
|
3 |
|
|
|
|
E |
|
|
1 |
1 |
E |
5 |
5 |
|
|
|
|
- |
|
|
|
|
N |
|
|
8 |
1 |
N |
14 |
5 |
|
|
|
|
- |
|
|
|
|
O |
|
|
7 |
1 |
O |
15 |
6 |
|
|
|
|
|
|
6 |
|
|
Q |
|
|
2 |
1 |
Q |
17 |
8 |
|
|
|
|
|
|
|
|
|
I |
|
|
6 |
1 |
I |
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
121 |
|
|
- |
|
|
|
|
|
|
|
|
|
4+0 |
|
- |
- |
1+2+1 |
4+9 |
4+0 |
- |
|
|
- |
1+0 |
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
|
- |
- |
- |
1+3 |
- |
|
|
|
- |
|
|
|
|
|
|
|
|
9 |
EQUATIONS |
|
|
|
- |
|
|
|
|
|
|
|
T |
|
|
- |
1 |
THE |
|
|
|
E |
|
|
|
1 |
EQUATION |
102 |
|
|
|
|
|
|
|
Add to Reduce |
|
|
|
|
|
- |
|
|
Reduce to Deduce |
1+3+5 |
5+4 |
|
|
|
- |
|
|
Essence of Number |
|
|
|
3 |
THE |
33 |
15 |
6 |
7 |
KINETIC |
71 |
35 |
8 |
6 |
NATURE |
79 |
25 |
7 |
2 |
OF |
21 |
12 |
3 |
6 |
THINGS |
77 |
32 |
5 |
- |
KINETICS |
|
|
- |
|
|
|
|
- |
|
|
|
|
- |
KINETICS |
|
|
- |
|
|
1 |
K |
11 |
2 |
2 |
- |
2 |
1 |
I |
9 |
9 |
9 |
9 |
- |
3 |
N+E+T |
39 |
12 |
3 |
- |
3 |
1 |
I |
9 |
9 |
9 |
9 |
- |
2 |
C+S |
22 |
4 |
4 |
- |
4 |
8 |
KINETICS |
|
|
|
|
|
K |
= |
2 |
- |
- |
KINETICS |
- |
- |
- |
- |
- |
- |
- |
1 |
K |
11 |
2 |
2 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
C |
3 |
3 |
3 |
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
K |
= |
2 |
|
|
KINETICS |
|
|
|
- |
- |
- |
- |
- |
- |
9+0 |
4+5 |
3+6 |
K |
= |
2 |
|
8 |
KINETICS |
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
9 |
5 |
|
|
9 |
|
1 |
|
|
|
2+4 |
|
|
|
6 |
|
|
|
|
|
9 |
14 |
|
|
9 |
|
19 |
|
|
|
5+1 |
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
2 |
|
|
5 |
|
|
3 |
|
|
|
|
1+2 |
|
|
|
|
|
|
|
|
11 |
|
|
5 |
|
|
3 |
|
|
|
|
3+9 |
|
|
1+2 |
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
11 |
9 |
14 |
5 |
20 |
9 |
3 |
19 |
|
|
|
9+0 |
|
|
|
9 |
|
|
|
|
2 |
9 |
5 |
5 |
2 |
9 |
3 |
1 |
|
|
|
3+6 |
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
- |
- |
|
1 |
|
|
|
occurs |
x |
|
= |
1 |
= |
|
|
- |
|
|
|
- |
2 |
|
|
|
- |
- |
|
occurs |
x |
|
= |
4 |
= |
|
|
- |
|
|
|
- |
|
|
3 |
|
- |
- |
|
occurs |
x |
|
= |
3 |
= |
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
- |
- |
|
|
- |
|
|
|
5 |
- |
|
|
|
- |
- |
|
occurs |
x |
|
= |
|
1+0 |
|
|
- |
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
- |
- |
|
|
- |
|
|
|
|
|
- |
- |
|
- |
- |
|
|
|
|
|
- |
- |
|
8 |
- |
|
|
|
|
|
- |
- |
|
- |
- |
|
|
|
|
|
- |
- |
|
- |
- |
|
|
|
- |
|
|
|
- |
|
|
9 |
occurs |
x |
|
= |
18 |
1+8 |
|
|
|
|
|
|
E |
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
2+5 |
- |
|
|
|
- |
|
|
|
|
- |
- |
2+0 |
|
|
- |
|
3+6 |
|
1+8 |
|
|
|
|
|
E |
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
- |
2 |
|
5 |
5 |
2 |
|
3 |
1 |
- |
- |
- |
|
|
- |
|
- |
|
- |
7 |
8 |
|
|
|
E |
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
9 |
5 |
|
|
9 |
|
1 |
|
|
|
2+4 |
|
|
|
6 |
|
|
|
|
9 |
14 |
|
|
9 |
|
19 |
|
|
|
5+1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
2 |
|
|
5 |
|
|
3 |
|
|
|
|
1+2 |
|
|
|
|
|
|
|
11 |
|
|
5 |
|
|
3 |
|
|
|
|
3+9 |
|
|
1+2 |
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
11 |
9 |
14 |
5 |
20 |
9 |
3 |
19 |
|
|
|
9+0 |
|
|
|
9 |
|
|
|
2 |
9 |
5 |
5 |
2 |
9 |
3 |
1 |
|
|
|
3+6 |
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
- |
- |
|
1 |
|
|
|
occurs |
x |
|
= |
1 |
= |
|
- |
|
|
|
- |
2 |
|
|
|
- |
- |
|
occurs |
x |
|
= |
4 |
= |
|
- |
|
|
|
- |
|
|
3 |
|
- |
- |
|
occurs |
x |
|
= |
3 |
= |
|
- |
|
|
|
5 |
- |
|
|
|
- |
- |
|
occurs |
x |
|
= |
|
1+0 |
|
- |
|
|
|
- |
|
|
|
- |
|
|
9 |
occurs |
x |
|
= |
18 |
1+8 |
|
|
|
|
|
E |
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
- |
|
|
|
- |
|
|
|
|
- |
- |
2+0 |
|
|
- |
|
3+6 |
|
1+8 |
|
|
|
|
E |
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
- |
2 |
|
5 |
5 |
2 |
|
3 |
1 |
- |
- |
- |
|
|
- |
|
- |
|
- |
8 |
|
|
|
E |
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
K |
= |
2 |
- |
- |
KINETIC |
- |
- |
- |
- |
- |
- |
- |
1 |
K |
11 |
2 |
2 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
C |
3 |
3 |
3 |
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
- |
- |
- |
- |
- |
7+1 |
3+5 |
3+5 |
K |
= |
2 |
|
7 |
KINETIC |
|
|
|
E |
= |
5 |
- |
- |
ENERGIES |
- |
- |
- |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
- |
- |
- |
1 |
G |
7 |
7 |
7 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
- |
8+2 |
5+5 |
4+6 |
E |
= |
5 |
|
8 |
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
- |
1+0 |
1+0 |
1+0 |
E |
= |
5 |
|
8 |
ENERGIES |
|
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
|
5 |
|
|
|
9 |
|
1 |
|
|
|
1+5 |
|
|
|
|
|
|
- |
- |
|
14 |
|
|
|
9 |
|
19 |
|
|
|
4+2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
- |
|
|
|
- |
|
|
- |
- |
5 |
|
5 |
9 |
7 |
|
5 |
|
|
|
|
3+1 |
|
|
|
|
|
|
- |
- |
5 |
|
5 |
18 |
7 |
|
5 |
|
|
|
|
4+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
- |
|
|
- |
- |
5 |
14 |
5 |
18 |
7 |
9 |
5 |
19 |
|
|
|
8+2 |
|
|
1+0 |
|
|
|
- |
- |
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
|
|
4+6 |
|
|
1+0 |
|
|
|
|
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
occurs |
x |
|
= |
1 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
20 |
2+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
|
- |
|
|
|
occurs |
x |
|
= |
18 |
1+8 |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
2+3 |
|
|
|
|
|
|
|
|
|
|
|
2+2 |
|
|
|
|
4+6 |
|
1+9 |
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
- |
- |
|
|
|
|
1+0 |
|
1+0 |
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
5 |
|
|
|
9 |
|
1 |
|
|
|
1+5 |
|
|
|
|
|
|
- |
|
14 |
|
|
|
9 |
|
19 |
|
|
|
4+2 |
|
|
|
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
- |
|
|
|
- |
|
|
- |
5 |
|
5 |
9 |
7 |
|
5 |
|
|
|
|
3+1 |
|
|
|
|
|
|
- |
5 |
|
5 |
18 |
7 |
|
5 |
|
|
|
|
4+0 |
|
|
|
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
- |
|
|
- |
5 |
14 |
5 |
18 |
7 |
9 |
5 |
19 |
|
|
|
8+2 |
|
|
1+0 |
|
|
|
- |
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
|
|
4+6 |
|
|
1+0 |
|
|
|
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
occurs |
x |
|
= |
1 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
20 |
2+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
|
|
|
|
|
9 |
|
- |
|
|
|
occurs |
x |
|
= |
18 |
1+8 |
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2+2 |
|
|
|
|
4+6 |
|
1+9 |
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
- |
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
- |
- |
|
|
|
|
1+0 |
|
1+0 |
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
E |
= |
5 |
- |
- |
ENERGIES |
- |
- |
- |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
- |
- |
- |
1 |
G |
7 |
7 |
7 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
- |
8+2 |
5+5 |
4+6 |
E |
= |
5 |
|
8 |
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
- |
1+0 |
1+0 |
1+0 |
E |
= |
5 |
|
8 |
ENERGIES |
|
|
|
K |
= |
2 |
|
|
KINETIC |
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
9 |
- |
- |
- |
- |
1+5 |
Reduce to Deduce |
1+5+3 |
9+0 |
- |
|
|
7 |
|
|
Essence of Number |
|
|
9 |
K |
= |
2 |
- |
- |
KINETIC |
- |
- |
- |
- |
- |
- |
- |
1 |
K |
11 |
2 |
2 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
C |
3 |
3 |
3 |
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
- |
- |
- |
- |
- |
7+1 |
3+5 |
3+5 |
K |
= |
2 |
|
7 |
KINETIC |
|
|
|
K |
= |
2 |
- |
- |
KINETIC |
- |
- |
- |
- |
- |
- |
- |
1 |
K |
11 |
2 |
2 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
C |
3 |
3 |
3 |
K |
= |
2 |
- |
7 |
KINETIC |
71 |
35 |
35 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
E |
= |
5 |
- |
- |
ENERGIES |
- |
- |
- |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
- |
- |
- |
1 |
G |
7 |
7 |
7 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
E |
= |
5 |
- |
8 |
ENERGIES |
82 |
55 |
46 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
K |
= |
2 |
|
|
KINETIC |
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
|
- |
- |
- |
- |
1+5 |
Reduce to Deduce |
1+5+3 |
9+0 |
8+1 |
|
|
7 |
|
|
Essence of Number |
|
|
|
K |
= |
2 |
- |
- |
KINETIC |
- |
- |
- |
- |
- |
- |
- |
1 |
K |
11 |
2 |
2 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
C |
3 |
3 |
3 |
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
- |
- |
- |
- |
- |
7+1 |
3+5 |
3+5 |
K |
= |
2 |
|
7 |
KINETIC |
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
E |
= |
5 |
- |
- |
ENERGIES |
- |
- |
- |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
- |
- |
- |
1 |
G |
7 |
7 |
7 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
- |
8+2 |
5+5 |
4+6 |
E |
= |
5 |
|
8 |
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
- |
1+0 |
1+0 |
1+0 |
E |
= |
5 |
|
8 |
ENERGIES |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
K |
= |
2 |
- |
- |
KINETIC |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
1 |
K |
11 |
2 |
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
N |
14 |
5 |
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
E |
5 |
5 |
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
T |
20 |
2 |
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
C |
3 |
3 |
|
- |
|
|
|
|
|
|
|
|
|
K |
= |
2 |
- |
7 |
KINETIC |
71 |
35 |
35 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
E |
= |
5 |
- |
- |
ENERGIES |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
- |
- |
- |
- |
1 |
G |
7 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
- |
8 |
ENERGIES |
82 |
55 |
46 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
Reduce to Deduce |
1+5+3 |
9+0 |
8+1 |
- |
|
|
|
|
3+0 |
|
|
|
8+1 |
|
|
7 |
|
|
Essence of Number |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
K |
- |
|
1 |
1 |
K |
11 |
2 |
|
- |
|
|
|
|
|
|
|
|
|
I |
- |
9 |
2 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
|
N |
- |
|
3 |
1 |
N |
14 |
5 |
|
- |
|
|
|
|
|
|
|
|
|
E |
- |
|
4 |
1 |
E |
5 |
5 |
|
- |
|
|
|
|
|
|
|
|
|
T |
- |
|
5 |
1 |
T |
20 |
2 |
|
- |
|
|
|
|
|
|
|
|
|
I |
- |
9 |
6 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
|
C |
- |
|
7 |
1 |
C |
3 |
3 |
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
46 |
- |
7 |
KINETIC |
71 |
35 |
35 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
ENERGIES |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
E |
- |
5 |
8 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
N |
- |
5 |
9 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
E |
- |
5 |
10 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
R |
- |
9 |
11 |
1 |
R |
18 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
G |
- |
7 |
12 |
1 |
G |
7 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
I |
- |
9 |
13 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
E |
- |
5 |
14 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
S |
- |
1 |
15 |
1 |
S |
19 |
10 |
1 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
46 |
- |
8 |
ENERGIES |
82 |
55 |
46 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
3+0 |
|
|
|
8+1 |
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
Reduce to Deduce |
1+5+3 |
9+0 |
8+1 |
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
Essence of Number |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
K |
- |
|
1 |
1 |
K |
11 |
2 |
|
- |
|
|
|
|
|
|
|
|
|
I |
- |
9 |
2 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
|
N |
- |
|
3 |
1 |
N |
14 |
5 |
|
- |
|
|
|
|
|
|
|
|
|
E |
- |
|
4 |
1 |
E |
5 |
5 |
|
- |
|
|
|
|
|
|
|
|
|
T |
- |
|
5 |
1 |
T |
20 |
2 |
|
- |
|
|
|
|
|
|
|
|
|
I |
- |
9 |
6 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
|
C |
- |
|
7 |
1 |
C |
3 |
3 |
|
- |
|
|
|
|
|
|
|
|
|
E |
- |
5 |
8 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
N |
- |
5 |
9 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
E |
- |
5 |
10 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
R |
- |
9 |
11 |
1 |
R |
18 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
G |
- |
7 |
12 |
1 |
G |
7 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
I |
- |
9 |
13 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
E |
- |
5 |
14 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
S |
- |
1 |
15 |
1 |
S |
19 |
10 |
1 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ENERGIES |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
3+0 |
|
|
|
8+1 |
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
Reduce to Deduce |
1+5+3 |
9+0 |
8+1 |
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
Essence of Number |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
S |
- |
1 |
15 |
1 |
S |
19 |
10 |
1 |
- |
|
|
|
|
|
|
|
|
|
K |
- |
|
1 |
1 |
K |
11 |
2 |
|
- |
|
|
|
|
|
|
|
|
|
T |
- |
|
5 |
1 |
T |
20 |
2 |
|
- |
|
|
|
|
|
|
|
|
|
C |
- |
|
7 |
1 |
C |
3 |
3 |
|
- |
|
|
|
|
|
|
|
|
|
N |
- |
|
3 |
1 |
N |
14 |
5 |
|
- |
|
|
|
|
|
|
|
|
|
E |
- |
|
4 |
1 |
E |
5 |
5 |
|
- |
|
|
|
|
|
|
|
|
|
E |
- |
5 |
8 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
N |
- |
5 |
9 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
E |
- |
5 |
10 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
E |
- |
5 |
14 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
G |
- |
7 |
12 |
1 |
G |
7 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
I |
- |
9 |
6 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
|
I |
- |
9 |
13 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
R |
- |
9 |
11 |
1 |
R |
18 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
I |
- |
9 |
2 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ENERGIES |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
3+0 |
|
|
|
8+1 |
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
Reduce to Deduce |
1+5+3 |
9+0 |
8+1 |
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
Essence of Number |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
|
|
|
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
S |
- |
1 |
15 |
1 |
S |
19 |
10 |
1 |
- |
|
|
|
|
|
|
K |
- |
|
1 |
1 |
K |
11 |
2 |
|
- |
|
|
|
|
|
|
T |
- |
|
5 |
1 |
T |
20 |
2 |
|
- |
|
|
|
|
|
|
C |
- |
|
7 |
1 |
C |
3 |
3 |
|
- |
|
|
|
|
|
|
N |
- |
|
3 |
1 |
N |
14 |
5 |
|
- |
|
|
|
|
|
|
E |
- |
|
4 |
1 |
E |
5 |
5 |
|
- |
|
|
|
|
|
|
E |
- |
5 |
8 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
N |
- |
5 |
9 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
|
E |
- |
5 |
10 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
E |
- |
5 |
14 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
G |
- |
7 |
12 |
1 |
G |
7 |
7 |
7 |
- |
|
|
|
|
|
|
I |
- |
9 |
6 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
I |
- |
9 |
13 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
9 |
R |
- |
9 |
11 |
1 |
R |
18 |
9 |
9 |
- |
|
|
|
|
|
9 |
I |
- |
9 |
2 |
1 |
I |
9 |
9 |
9 |
- |
|
|
|
|
|
|
- |
- |
- |
- |
- |
ENERGIES |
- |
- |
- |
- |
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
3+0 |
|
8+1 |
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
|
|
|
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
|
- |
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
Reduce to Deduce |
1+5+3 |
9+0 |
8+1 |
- |
|
|
|
|
|
|
|
|
7 |
|
|
Essence of Number |
|
|
|
- |
|
|
|
|
|
|
K |
= |
2 |
|
|
KINETIC |
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
9 |
- |
- |
- |
- |
1+5 |
Reduce to Deduce |
1+5+3 |
9+0 |
- |
|
|
7 |
|
|
Essence of Number |
|
|
9 |
K |
= |
2 |
|
|
KINETIC |
|
|
|
E |
= |
5 |
|
|
ENERGIES |
|
|
|
|
|
7 |
|
|
Add to Reduce |
|
|
9 |
- |
- |
- |
- |
1+5 |
Reduce to Deduce |
1+5+3 |
9+0 |
- |
|
|
7 |
|
|
Essence of Number |
|
|
9 |
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
|
9 |
5 |
|
|
9 |
|
|
|
5 |
|
|
|
9 |
|
1 |
|
|
|
3+8 |
|
|
1+1 |
|
|
|
- |
- |
|
9 |
14 |
|
|
9 |
|
|
|
14 |
|
|
|
9 |
|
19 |
|
|
|
7+4 |
|
|
1+1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
- |
|
|
|
- |
|
|
- |
- |
2 |
|
|
5 |
|
|
3 |
|
5 |
|
5 |
9 |
7 |
|
5 |
|
|
|
|
4+3 |
|
|
|
|
|
|
- |
- |
11 |
|
|
5 |
|
|
3 |
|
5 |
|
5 |
18 |
7 |
|
5 |
|
|
|
|
7+9 |
|
|
1+6 |
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
- |
|
|
- |
- |
11 |
9 |
14 |
5 |
20 |
9 |
3 |
|
5 |
14 |
5 |
18 |
7 |
9 |
5 |
19 |
|
|
|
1+5+3 |
|
|
= |
|
|
|
- |
- |
2 |
9 |
5 |
5 |
2 |
9 |
3 |
|
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
|
|
8+1 |
|
|
= |
|
|
|
|
15 |
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
occurs |
x |
|
= |
1 |
= |
|
|
|
|
|
|
- |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
= |
|
|
|
|
|
|
- |
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
3 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
30 |
3+0 |
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
9 |
|
- |
|
|
|
occurs |
x |
|
= |
36 |
3+6 |
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
1+8 |
1+5 |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2+7 |
|
|
1+5 |
|
8+1 |
|
2+7 |
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
2 |
|
5 |
5 |
2 |
|
3 |
- |
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
- |
- |
|
|
- |
|
|
- |
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
9 |
5 |
|
|
9 |
|
|
|
5 |
|
|
|
9 |
|
1 |
|
|
|
3+8 |
|
|
1+1 |
|
|
|
- |
|
9 |
14 |
|
|
9 |
|
|
|
14 |
|
|
|
9 |
|
19 |
|
|
|
7+4 |
|
|
1+1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
- |
|
|
|
- |
|
|
- |
2 |
|
|
5 |
|
|
3 |
|
5 |
|
5 |
9 |
7 |
|
5 |
|
|
|
|
4+3 |
|
|
|
|
|
|
- |
11 |
|
|
5 |
|
|
3 |
|
5 |
|
5 |
18 |
7 |
|
5 |
|
|
|
|
7+9 |
|
|
1+6 |
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
- |
|
|
- |
11 |
9 |
14 |
5 |
20 |
9 |
3 |
|
5 |
14 |
5 |
18 |
7 |
9 |
5 |
19 |
|
|
|
1+5+3 |
|
|
= |
|
|
|
- |
2 |
9 |
5 |
5 |
2 |
9 |
3 |
|
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
|
|
8+1 |
|
|
= |
|
|
|
15 |
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
occurs |
x |
|
= |
1 |
= |
|
|
|
|
|
- |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
= |
|
|
|
|
|
- |
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
3 |
= |
|
|
|
|
|
5 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
30 |
3+0 |
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
9 |
|
- |
|
|
|
occurs |
x |
|
= |
36 |
3+6 |
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
1+5 |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2+7 |
|
|
1+5 |
|
8+1 |
|
2+7 |
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
- |
2 |
|
5 |
5 |
2 |
|
3 |
- |
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
- |
- |
|
|
- |
|
|
- |
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
9 |
5 |
|
|
9 |
|
|
5 |
|
|
|
9 |
|
1 |
|
|
|
3+8 |
|
|
1+1 |
|
|
|
- |
|
9 |
14 |
|
|
9 |
|
|
14 |
|
|
|
9 |
|
19 |
|
|
|
7+4 |
|
|
1+1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
- |
|
|
|
- |
|
|
- |
2 |
|
|
5 |
|
|
3 |
5 |
|
5 |
9 |
7 |
|
5 |
|
|
|
|
4+3 |
|
|
|
|
|
|
- |
11 |
|
|
5 |
|
|
3 |
5 |
|
5 |
18 |
7 |
|
5 |
|
|
|
|
7+9 |
|
|
1+6 |
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
- |
|
|
- |
11 |
9 |
14 |
5 |
20 |
9 |
3 |
5 |
14 |
5 |
18 |
7 |
9 |
5 |
19 |
|
|
|
1+5+3 |
|
|
= |
|
|
|
- |
2 |
9 |
5 |
5 |
2 |
9 |
3 |
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
|
|
8+1 |
|
|
= |
|
|
|
15 |
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
1 |
|
|
|
occurs |
x |
|
= |
1 |
= |
|
|
|
|
|
- |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
= |
|
|
|
|
|
- |
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
3 |
= |
|
|
|
|
|
5 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
30 |
3+0 |
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
9 |
|
- |
|
|
|
occurs |
x |
|
= |
36 |
3+6 |
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
1+5 |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
2+7 |
|
|
1+5 |
|
8+1 |
|
2+7 |
|
|
|
|
E |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
|
|
|
|
- |
2 |
|
5 |
5 |
2 |
|
3 |
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
- |
- |
|
|
- |
|
|
- |
|
|
|
|
|
E |
|
|
|
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|
|
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I |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
K |
= |
2 |
- |
- |
KINETIC |
- |
- |
- |
- |
- |
- |
- |
1 |
K |
11 |
2 |
|
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
|
- |
- |
- |
- |
1 |
E |
5 |
5 |
|
- |
- |
- |
- |
1 |
T |
20 |
2 |
|
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
C |
3 |
3 |
|
K |
= |
2 |
|
|
KINETIC |
|
|
|
- |
- |
- |
- |
- |
- |
7+1 |
3+5 |
3+5 |
K |
= |
2 |
|
7 |
KINETIC |
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
E |
= |
5 |
- |
- |
ENERGIES |
- |
- |
- |
- |
- |
- |
- |
1 |
E |
5 |
5 |
|
- |
- |
- |
- |
1 |
N |
14 |
5 |
|
- |
- |
- |
- |
1 |
E |
5 |
5 |
|
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
- |
- |
- |
1 |
G |
7 |
7 |
7 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
|
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
- |
8+2 |
5+5 |
4+6 |
E |
= |
5 |
|
8 |
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
- |
1+0 |
1+0 |
1+0 |
E |
= |
5 |
|
8 |
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
C |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
R |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
U |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
C |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
I |
- |
- |
- |
- |
- |
C |
R |
U |
C |
I |
F |
I |
X |
I |
O |
N |
- |
- |
- |
- |
- |
I |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
X |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
I |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
O |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
N |
- |
- |
- |
- |
- |
- |
- |
- |
- |
C |
- |
- |
- |
- |
- |
- |
- |
- |
R |
- |
- |
- |
- |
- |
- |
- |
- |
U |
- |
- |
- |
- |
- |
- |
- |
- |
C |
- |
- |
- |
- |
C |
R |
U |
C |
I |
F |
I |
E |
D |
- |
- |
- |
- |
F |
- |
- |
- |
- |
- |
- |
- |
- |
I |
- |
- |
- |
- |
- |
- |
- |
- |
E |
- |
- |
- |
- |
- |
- |
- |
- |
D |
- |
- |
- |
- |
- |
- |
- |
- |
A |
- |
- |
- |
- |
- |
- |
- |
- |
T |
- |
- |
- |
- |
- |
- |
- |
- |
O |
- |
- |
- |
- |
- |
- |
- |
- |
N |
- |
- |
- |
- |
A |
T |
O |
N |
E |
M |
E |
N |
T |
- |
- |
- |
- |
M |
- |
- |
- |
- |
- |
- |
- |
- |
E |
- |
- |
- |
- |
- |
- |
- |
- |
N |
- |
- |
- |
- |
- |
- |
- |
- |
T |
- |
- |
- |
- |
|
16 |
|
|
|
|
D |
|
|
- |
|
|
|
O |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
- |
|
|
|
|
|
6 |
|
- |
|
|
|
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
15 |
|
- |
|
|
|
15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
|
|
|
|
D |
|
|
- |
|
|
|
O |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
- |
6 |
9 |
5 |
5 |
4 |
|
4 |
- |
4 |
5 |
4 |
|
3 |
9 |
1 |
3 |
7 |
|
|
|
|
|
|
|
|
|
|
|
- |
6 |
18 |
5 |
5 |
4 |
|
13 |
- |
4 |
5 |
13 |
|
3 |
18 |
1 |
3 |
25 |
|
|
|
|
|
|
|
|
|
|
|
16 |
|
|
|
|
D |
|
|
- |
|
|
|
O |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
- |
6 |
18 |
5 |
5 |
4 |
15 |
13 |
- |
4 |
5 |
13 |
15 |
3 |
18 |
1 |
3 |
25 |
|
|
|
|
|
|
|
|
|
|
|
- |
6 |
9 |
5 |
5 |
4 |
6 |
4 |
- |
4 |
5 |
4 |
6 |
3 |
9 |
1 |
3 |
7 |
|
|
|
|
|
|
|
|
|
|
|
16 |
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
1 |
= |
|
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
- |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
16 |
1+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
1+5 |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
1+8 |
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+0 |
1+6 |
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
3+5 |
|
|
1+6 |
|
8+1 |
|
4+5 |
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
|
|
|
|
- |
F |
6 |
6 |
6 |
- |
R |
18 |
9 |
9 |
- |
E+E+D+O+M |
42 |
24 |
6 |
- |
D+E |
9 |
9 |
9 |
- |
M |
13 |
4 |
4 |
- |
O+C |
18 |
9 |
9 |
- |
R |
18 |
9 |
9 |
- |
A+C+Y |
29 |
11 |
2 |
16 |
FREEDOM DEMOCRACY |
- |
- |
- |
16 |
|
|
|
|
- |
F |
6 |
6 |
6 |
- |
R |
18 |
9 |
9 |
- |
E+E+D+O+M |
42 |
24 |
6 |
- |
D+E |
9 |
9 |
9 |
- |
M+O+C+R+A+C+Y |
78 |
33 |
6 |
16 |
FREEDOM DEMOCRACY |
153 |
81 |
36 |
1+6 |
- |
1+5+3 |
8+1 |
3+6 |
7 |
FREEDOM DEMOCRACY |
9 |
9 |
9 |
3 |
THE |
33 |
15 |
6 |
6 |
ZODIAC |
58 |
31 |
4 |
2 |
OF |
21 |
12 |
3 |
8 |
DENDERAH |
59 |
41 |
5 |
19 |
First Total |
|
|
|
|
Add to Reduce |
1+7+1 |
9+9 |
1+8 |
10 |
Second Total |
|
|
|
|
Reduce to Deduce |
- |
1+8 |
- |
1 |
Essence of Number |
|
|
|
8 |
THIRTEEN |
99 |
45 |
9 |
6 |
ELEVEN |
63 |
27 |
9 |
- |
THIRTY THREE |
- |
- |
- |
6 |
|
100 |
37 |
|
5 |
|
56 |
29 |
|
|
THIRTY THREE |
|
|
|
|
- |
1+5+6 |
6+6 |
|
|
THIRTY THREE |
|
|
|
|
- |
1+2 |
1+2 |
|
|
THIRTY THREE |
|
|
|
-t- |
THE MYTH |
- |
- |
- |
3 |
|
33 |
15 |
|
4 |
|
66 |
21 |
|
|
THE MYTH |
|
|
|
|
- |
9+9 |
3+6 |
|
|
THE MYTH |
|
|
|
|
- |
1+8 |
- |
|
|
THE MYTH |
|
|
|
6 |
LIVING |
73 |
37 |
1 |
3 |
THE |
33 |
15 |
6 |
4 |
MYTH |
66 |
21 |
3 |
13 |
First Total |
|
|
|
|
Add to Reduce |
1+7+2 |
7+3 |
1+0 |
4 |
Second Total |
|
|
|
|
Reduce to Deduce |
1+0 |
1+0 |
- |
4 |
Essence of Number |
|
|
|
3 |
THE |
33 |
15 |
6 |
4 |
MYTH |
66 |
21 |
3 |
5 |
LIVES |
67 |
22 |
4 |
12 |
First Total |
|
|
|
|
Add to Reduce |
1+6+6 |
5+8 |
1+3 |
3 |
Second Total |
|
|
|
|
Reduce to Deduce |
1+3 |
1+3 |
- |
3 |
Essence of Number |
|
|
|
4 |
AEON |
35 |
17 |
8 |
5 |
AEONS |
54 |
18 |
9 |
4 |
|
40 |
22 |
|
7 |
|
102 |
39 |
|
|
Add to Reduce |
|
|
|
|
Reduce to Deduce |
1+4+2 |
6+1 |
|
|
|
|
|
|
T |
= |
2 |
- |
3 |
THE |
33 |
15 |
6 |
G |
= |
7 |
- |
13 |
GRAVITATIONAL |
149 |
59 |
5 |
F |
= |
6 |
- |
5 |
FIELD |
36 |
27 |
9 |
- |
- |
|
- |
|
First Total |
|
|
|
- |
- |
1+5 |
- |
2+1 |
Add to Reduce |
2+1+8 |
1+0+1 |
2+0 |
- |
- |
|
- |
|
Second Total |
|
|
|
- |
- |
- |
- |
- |
Reduce to Deduce |
1+1 |
- |
- |
- |
- |
|
- |
|
Essence of Number |
|
|
|
T |
= |
2 |
- |
3 |
THE |
33 |
15 |
6 |
F |
= |
6 |
- |
5 |
FORCE |
47 |
29 |
2 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
G |
= |
7 |
- |
7 |
GRAVITY |
102 |
39 |
3 |
- |
- |
|
- |
|
First Total |
|
|
|
- |
- |
2+1 |
- |
1+7 |
Add to Reduce |
2+0+3 |
9+5 |
1+4 |
- |
- |
|
- |
|
Second Total |
|
|
|
- |
- |
- |
- |
- |
Reduce to Deduce |
- |
1+4 |
- |
- |
- |
|
- |
|
Essence of Number |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
|
|
|
|
9 |
|
|
|
|
|
|
= |
|
= |
|
|
|
- |
|
|
|
|
|
9 |
|
|
|
|
|
|
= |
|
= |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
7 |
9 |
1 |
4 |
|
|
7 |
|
|
|
3+0 |
= |
|
= |
|
|
|
- |
|
7 |
18 |
1 |
22 |
|
|
25 |
|
|
|
9+3 |
= |
|
1+2 |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
7 |
18 |
1 |
22 |
9 |
|
25 |
|
|
|
1+0+2 |
= |
|
= |
|
|
|
- |
|
7 |
9 |
1 |
4 |
9 |
|
7 |
|
|
|
3+9 |
= |
|
1+2 |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
- |
- |
|
|
|
|
|
|
|
- |
|
|
occurs |
x |
|
= |
|
= |
|
3 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
-- |
- |
-`- |
|
|
|
4 |
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
5 |
- |
|
|
- |
|
|
- |
|
- |
- |
|
|
|
|
|
|
|
|
6 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
-`- |
7 |
|
|
|
|
|
7 |
|
|
|
occurs |
x |
|
= |
|
1+4 |
|
|
-`- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
|
|
|
- |
|
|
- |
- |
- |
|
occurs |
x |
|
= |
|
1+8 |
|
22 |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
2+2 |
- |
|
|
|
|
|
|
|
|
|
2+3 |
- |
|
- |
- |
3+9 |
- |
2+1 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
- |
- |
7 |
9 |
1 |
4 |
9 |
|
7 |
|
|
- |
- |
|
- |
- |
1+2 |
- |
- |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
9 |
|
|
|
|
|
|
= |
|
= |
|
|
|
|
|
|
|
|
9 |
|
|
|
|
|
|
= |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
7 |
9 |
1 |
4 |
|
|
7 |
|
|
|
3+0 |
= |
|
= |
|
|
|
|
7 |
18 |
1 |
22 |
|
|
25 |
|
|
|
9+3 |
= |
|
1+2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
7 |
18 |
1 |
22 |
9 |
|
25 |
|
|
|
1+0+2 |
= |
|
= |
|
|
|
|
7 |
9 |
1 |
4 |
9 |
|
7 |
|
|
|
3+9 |
= |
|
1+2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
- |
|
|
|
|
|
|
|
- |
|
|
occurs |
x |
|
= |
|
= |
|
-`- |
|
|
|
4 |
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
-`- |
7 |
|
|
|
|
|
7 |
|
|
|
occurs |
x |
|
= |
|
1+4 |
|
- |
|
|
|
- |
|
|
- |
- |
- |
|
occurs |
x |
|
= |
|
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
2+3 |
- |
|
- |
- |
3+9 |
- |
2+1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
- |
7 |
9 |
1 |
4 |
9 |
|
7 |
|
|
- |
- |
|
- |
- |
1+2 |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
GODS RA VITALITY GRAVITY VITALITY RA GODS
G |
= |
7 |
- |
7 |
GRAVITY |
102 |
39 |
3 |
G |
= |
7 |
- |
4 |
GODS |
45 |
18 |
9 |
R |
= |
9 |
- |
2 |
RA |
19 |
10 |
1 |
V |
= |
4 |
- |
8 |
VITALITY |
118 |
37 |
1 |
- |
- |
|
- |
|
First Total |
|
|
|
- |
- |
2+7 |
- |
2+1 |
Add to Reduce |
2+8+4 |
9+5 |
1+4 |
- |
- |
|
- |
|
Second Total |
|
|
|
- |
- |
- |
- |
- |
Reduce to Deduce |
1+4 |
1+4 |
- |
- |
- |
|
- |
|
Essence of Number |
|
|
|
4 |
|
36 |
18 |
|
5 |
|
54 |
27 |
|
|
Add to Reduce |
|
|
|
|
Reduce to Deduce |
9+0 |
4+5 |
1+8 |
|
|
|
|
|
5 |
FIELD |
36 |
27 |
9 |
2 |
OF |
21 |
12 |
3 |
6 |
DREAMS |
60 |
24 |
6 |
4 |
|
|
|
|
- |
F |
6 |
6 |
6 |
- |
O+U+R |
54 |
18 |
9 |
4 |
FOUR |
60 |
24 |
15 |
- |
- |
6+0 |
2+4 |
1+5 |
4 |
FOUR |
6 |
6 |
6 |
-- |
FOUR-FOR |
- |
- |
- |
4 |
|
60 |
24 |
|
3 |
|
39 |
21 |
|
|
FOUR FOR |
|
|
|
|
|
9+9 |
4+5 |
|
|
FOUR FOR |
|
|
|
|
|
1+8 |
|
|
|
FOUR FOR |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
- |
|
|
6 |
6 |
|
|
|
|
1+2 |
|
|
|
|
|
|
|
- |
|
|
24 |
15 |
|
|
|
|
3+9 |
|
|
1+2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
- |
3 |
3 |
|
|
9 |
|
|
|
1+5 |
|
|
|
|
|
|
|
- |
12 |
21 |
|
|
18 |
|
|
|
5+1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
- |
12 |
21 |
24 |
15 |
18 |
|
|
|
9+0 |
|
|
|
|
|
|
|
- |
3 |
3 |
6 |
6 |
9 |
|
|
|
2+7 |
|
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
2 |
|
|
|
|
|
|
|
|
2 |
|
|
|
|
|
|
|
|
|
3 |
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
4 |
|
- |
|
|
|
|
|
|
4 |
|
|
|
|
|
|
|
5 |
|
- |
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
1+2 |
|
7 |
|
- |
|
|
|
|
|
|
7 |
|
|
|
|
|
|
|
8 |
|
- |
|
|
|
|
|
|
8 |
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2+7 |
- |
|
|
|
|
|
|
|
1+8 |
|
|
|
|
2+7 |
|
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
|
6 |
6 |
|
|
|
|
1+2 |
|
|
|
|
|
|
- |
|
|
24 |
15 |
|
|
|
|
3+9 |
|
|
1+2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
3 |
3 |
|
|
9 |
|
|
|
1+5 |
|
|
|
|
|
|
- |
12 |
21 |
|
|
18 |
|
|
|
5+1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
12 |
21 |
24 |
15 |
18 |
|
|
|
9+0 |
|
|
|
|
|
|
- |
3 |
3 |
6 |
6 |
9 |
|
|
|
2+7 |
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
3 |
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
1+2 |
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+8 |
|
|
|
|
2+7 |
|
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
|
|
O |
|
- |
|
|
|
N |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
9 |
|
6 |
5 |
- |
|
|
|
5 |
|
|
1 |
|
|
|
2+6 |
|
|
|
|
|
|
- |
- |
9 |
|
15 |
14 |
- |
|
|
|
14 |
|
|
19 |
|
|
|
7+1 |
|
|
|
|
|
|
|
11 |
|
|
O |
|
- |
|
|
|
N |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
9 |
|
6 |
5 |
- |
4 |
1 |
7 |
|
5 |
2 |
|
|
|
|
2+8 |
|
|
1+0 |
|
|
|
-` |
- |
9 |
|
15 |
14 |
- |
13 |
1 |
7 |
|
5 |
20 |
|
|
|
|
6+4 |
|
|
1+0 |
|
|
|
|
11 |
|
|
O |
|
- |
|
|
|
N |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
9 |
18 |
15 |
14 |
- |
13 |
1 |
7 |
14 |
5 |
20 |
19 |
|
|
|
1+3+5 |
|
|
|
|
|
|
- |
- |
9 |
9 |
6 |
5 |
- |
4 |
1 |
7 |
5 |
5 |
2 |
1 |
|
|
|
5+4 |
|
|
|
|
|
|
|
11 |
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
occurs |
x |
|
= |
2 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
= |
|
|
|
|
|
|
5 |
|
|
|
|
|
5 |
|
|
|
|
|
occurs |
x |
|
= |
15 |
1+5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
6 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
18 |
1+8 |
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
3+4 |
|
|
1+1 |
|
5+4 |
|
3+6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
IRRESISTIBLE |
137 |
56 |
2 |
5 |
FORCE |
47 |
29 |
2 |
17 |
First Total |
|
|
|
|
Add to Reduce |
1+8+4 |
8+5 |
- |
8 |
Second Total |
|
|
|
|
Reduce to Deduce |
1+3 |
1+3 |
- |
8 |
Essence of Number |
|
|
|
9 |
IMMOVABLE |
92 |
38 |
2 |
6 |
OBJECT |
55 |
19 |
1 |
15 |
First Total |
|
|
|
|
Add to Reduce |
1+4+7 |
5+7 |
- |
6 |
Second Total |
|
|
|
|
Reduce to Deduce |
1+2 |
1+2 |
- |
6 |
Essence of Number |
|
|
|
8 |
STARTING |
108 |
36 |
9 |
9 |
FINISHING |
131 |
59 |
5 |
3 |
ING |
30 |
21 |
3 |
5 |
START |
78 |
15 |
6 |
6 |
FINISH |
65 |
38 |
2 |
- |
12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
-- |
|
|
6 |
|
|
|
6 |
5 |
1 |
|
9 |
6 |
|
1 |
|
|
|
3+4 |
|
|
|
|
|
|
- |
|
|
15 |
|
|
|
15 |
14 |
19 |
|
9 |
15 |
|
19 |
|
|
|
1+0+6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
|
7 |
|
4 |
|
3 |
|
|
|
3 |
|
|
3 |
|
|
|
|
2+0 |
|
|
|
|
|
|
- |
|
7 |
|
4 |
|
3 |
|
|
|
3 |
|
|
21 |
|
|
|
|
3+8 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
|
7 |
15 |
4 |
|
3 |
15 |
14 |
19 |
3 |
9 |
15 |
21 |
19 |
|
|
|
1+4+4 |
|
|
|
|
|
|
- |
|
7 |
6 |
4 |
|
3 |
6 |
5 |
1 |
3 |
9 |
6 |
3 |
1 |
|
|
|
5+4 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
2 |
= |
|
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
9 |
= |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
= |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
occurs |
x |
|
= |
5 |
= |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
18 |
1+8 |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
7 |
= |
|
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
8 |
|
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|
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|
occurs |
x |
|
= |
9 |
= |
|
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
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|
|
|
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3+5 |
|
|
1+2 |
|
5+4 |
|
4+5 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
|
|
3 |
|
9 |
|
9 |
- |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
-- |
|
|
6 |
5 |
1 |
|
9 |
6 |
|
1 |
|
|
|
2+8 |
|
|
1+0 |
|
|
|
- |
|
|
15 |
14 |
19 |
|
9 |
15 |
|
19 |
|
|
|
6+4 |
|
|
1+0 |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
3 |
|
|
|
3 |
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
- |
|
3 |
|
|
|
3 |
|
|
21 |
|
|
|
|
2+7 |
|
|
|
- |
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
|
3 |
15 |
14 |
19 |
3 |
9 |
15 |
21 |
19 |
|
|
|
1+1+8 |
|
|
1+0 |
|
|
|
- |
|
3 |
6 |
5 |
1 |
3 |
9 |
6 |
3 |
1 |
|
|
|
3+7 |
|
|
1+0 |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
2 |
= |
|
2 |
|
|
|
|
|
|
|
|
|
|
|
|
2 |
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
9 |
= |
|
4 |
|
|
|
|
|
|
|
|
|
|
|
|
4 |
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
5 |
= |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
12 |
1+2 |
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
|
8 |
|
|
|
|
|
|
|
|
|
|
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|
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
9 |
= |
|
21 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2+1 |
|
|
|
|
|
|
|
|
|
|
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|
2+4 |
|
|
|
|
3+7 |
|
2+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
6 |
5 |
1 |
3 |
|
6 |
3 |
1 |
|
|
|
|
|
|
|
1+0 |
|
1+0 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
9 |
|
1 |
|
1 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
6 |
5 |
1 |
|
9 |
6 |
|
1 |
|
|
|
2+8 |
|
|
1+0 |
|
|
|
|
|
15 |
14 |
19 |
|
9 |
15 |
|
19 |
|
|
|
6+4 |
|
|
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
3 |
|
|
|
3 |
|
|
3 |
|
|
|
|
|
|
|
|
|
|
|
|
3 |
|
|
|
3 |
|
|
21 |
|
|
|
|
2+7 |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
3 |
15 |
14 |
19 |
3 |
9 |
15 |
21 |
19 |
|
|
|
1+1+8 |
|
|
1+0 |
|
|
|
|
3 |
6 |
5 |
1 |
3 |
9 |
6 |
3 |
1 |
|
|
|
3+7 |
|
|
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
2 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
9 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
5 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
12 |
1+2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
9 |
= |
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
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|
2+4 |
|
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|
3+7 |
|
2+8 |
|
|
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|
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|
|
|
|
|
|
|
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|
|
|
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|
|
3 |
6 |
5 |
1 |
3 |
|
6 |
3 |
1 |
|
|
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|
|
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|
1+0 |
|
1+0 |
|
|
|
|
|
|
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|
6 |
|
|
9 |
|
1 |
|
1 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
|
|
|
9 |
|
9 |
15 |
14 |
19 |
|
|
|
6+6 |
= |
|
1+2 |
|
|
|
- |
|
|
|
|
9 |
|
9 |
6 |
5 |
1 |
|
|
|
3+0 |
= |
|
- |
|
|
|
-- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
9 |
5 |
3 |
|
7 |
|
|
|
|
|
|
|
2+4 |
= |
|
- |
|
|
|
- |
|
18 |
5 |
12 |
|
7 |
|
|
|
|
|
|
|
4+2 |
= |
|
|
|
|
|
-- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
-- |
|
18 |
5 |
12 |
9 |
7 |
9 |
15 |
14 |
19 |
|
|
|
1+0+8 |
= |
|
|
|
|
|
- |
|
9 |
5 |
3 |
9 |
7 |
9 |
6 |
5 |
1 |
|
|
|
5+4 |
= |
|
- |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
-- |
- |
|
|
|
|
|
- |
- |
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
|
-- |
|
|
|
|
|
|
- |
|
- |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
- |
|
|
- |
|
|
|
occurs |
x |
|
= |
|
= |
|
-4 |
- |
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
- |
- |
|
|
- |
|
|
|
|
|
- |
|
|
|
occurs |
x |
|
= |
|
1+0 |
|
- |
- |
- |
|
- |
|
|
|
|
|
|
- |
- |
|
occurs |
x |
|
= |
|
|
|
- |
- |
- |
|
- |
|
|
|
|
|
|
- |
- |
|
occurs |
x |
|
= |
|
|
|
8 |
8- |
|
|
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
- |
|
|
|
|
|
|
- |
- |
|
occurs |
x |
|
= |
|
2+7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+4 |
|
|
|
|
|
|
|
|
|
|
|
|
3+1 |
- |
|
|
- |
5+4 |
- |
2+7 |
|
|
|
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|
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|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
9 |
|
9 |
15 |
14 |
19 |
|
|
|
6+6 |
= |
|
1+2 |
|
|
|
|
|
|
|
9 |
|
9 |
6 |
5 |
1 |
|
|
|
3+0 |
= |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
9 |
5 |
3 |
|
7 |
|
|
|
|
|
|
|
2+4 |
= |
|
- |
|
|
|
|
18 |
5 |
12 |
|
7 |
|
|
|
|
|
|
|
4+2 |
= |
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
18 |
5 |
12 |
9 |
7 |
9 |
15 |
14 |
19 |
|
|
|
1+0+8 |
= |
|
|
|
|
|
|
9 |
5 |
3 |
9 |
7 |
9 |
6 |
5 |
1 |
|
|
|
5+4 |
= |
|
- |
|
|
|
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|
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|
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|
|
|
|
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|
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|
- |
- |
|
- |
|
|
|
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|
- |
- |
|
|
|
|
|
occurs |
x |
|
= |
|
= |
|
- |
|
|
|
|
|
- |
|
|
- |
|
|
|
occurs |
x |
|
= |
|
= |
|
- |
|
|
- |
|
|
|
|
|
- |
|
|
|
occurs |
x |
|
= |
|
1+0 |
|
- |
- |
|
- |
|
|
|
|
|
|
- |
- |
|
occurs |
x |
|
= |
|
|
|
- |
- |
|
- |
|
|
|
|
|
|
- |
- |
|
occurs |
x |
|
= |
|
|
|
- |
|
|
- |
|
|
|
|
|
|
- |
- |
|
occurs |
x |
|
= |
|
2+7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
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|
|
|
|
|
|
3+1 |
- |
|
|
- |
5+4 |
- |
2+7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
- |
Z |
= |
8 |
- |
4 |
|
64 |
28 |
1 |
1 |
- |
O |
= |
6 |
- |
3 |
|
34 |
16 |
7 |
2 |
- |
T |
= |
2 |
- |
3 |
|
56 |
29 |
2 |
3 |
- |
T |
= |
2 |
- |
5 |
|
52 |
16 |
7 |
4 |
- |
F |
= |
6 |
- |
4 |
|
60 |
24 |
6 |
5 |
- |
F |
= |
6 |
- |
4 |
|
65 |
20 |
2 |
6 |
- |
S |
= |
1 |
- |
3 |
|
42 |
24 |
6 |
7 |
- |
S |
= |
1 |
- |
5 |
|
58 |
13 |
4 |
8 |
- |
E |
= |
5 |
- |
5 |
|
49 |
31 |
4 |
9 |
- |
N |
= |
5 |
- |
4 |
|
42 |
24 |
6 |
45 |
|
- |
- |
42 |
- |
40 |
Add |
|
|
|
4+5 |
|
|
|
4+2 |
|
4+0 |
Reduce |
5+2+2 |
2+2+5 |
4+5 |
9 |
- |
|
|
|
|
|
Deduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
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|
|
|
0 |
- |
Z |
= |
8 |
- |
4 |
|
64 |
28 |
1 |
|
|
|
|
|
|
|
|
|
|
1 |
- |
O |
= |
6 |
- |
3 |
|
34 |
16 |
7 |
|
|
|
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|
|
|
|
|
|
2 |
- |
T |
= |
2 |
- |
3 |
|
56 |
29 |
2 |
|
|
|
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|
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|
|
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3 |
- |
T |
= |
2 |
- |
5 |
|
52 |
16 |
7 |
|
|
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|
|
|
4 |
- |
F |
= |
6 |
- |
4 |
|
60 |
24 |
6 |
|
|
|
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|
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|
|
|
5 |
- |
F |
= |
6 |
- |
4 |
|
65 |
20 |
2 |
|
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|
|
6 |
- |
S |
= |
1 |
- |
3 |
|
42 |
24 |
6 |
|
|
|
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|
|
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7 |
- |
S |
= |
1 |
- |
5 |
|
58 |
13 |
4 |
|
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4 |
|
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8 |
- |
E |
= |
5 |
- |
5 |
|
49 |
31 |
4 |
|
|
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4 |
|
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9 |
- |
N |
= |
5 |
- |
4 |
|
42 |
24 |
6 |
|
|
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|
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|
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|
45 |
|
- |
- |
42 |
- |
40 |
Add |
|
|
|
|
|
|
|
|
|
|
|
|
|
4+5 |
|
|
|
4+2 |
|
4+0 |
Reduce |
5+2+2 |
2+2+5 |
4+5 |
|
|
|
|
|
|
1+8 |
1+4 |
|
|
9 |
- |
|
|
|
|
|
Deduce |
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
0 |
- |
Z |
= |
8 |
- |
4 |
|
64 |
28 |
1 |
|
|
|
|
|
|
1 |
- |
O |
= |
6 |
- |
3 |
|
34 |
16 |
7 |
|
|
|
|
|
|
2 |
- |
T |
= |
2 |
- |
3 |
|
56 |
29 |
2 |
|
|
|
|
|
|
3 |
- |
T |
= |
2 |
- |
5 |
|
52 |
16 |
7 |
|
|
|
|
|
|
4 |
- |
F |
= |
6 |
- |
4 |
|
60 |
24 |
6 |
|
|
|
|
|
|
5 |
- |
F |
= |
6 |
- |
4 |
|
65 |
20 |
2 |
|
|
|
|
|
|
6 |
- |
S |
= |
1 |
- |
3 |
|
42 |
24 |
6 |
|
|
|
|
|
|
7 |
- |
S |
= |
1 |
- |
5 |
|
58 |
13 |
4 |
|
|
|
4 |
|
|
8 |
- |
E |
= |
5 |
- |
5 |
|
49 |
31 |
4 |
|
|
|
4 |
|
|
9 |
- |
N |
= |
5 |
- |
4 |
|
42 |
24 |
6 |
|
|
|
|
|
|
45 |
|
- |
- |
42 |
- |
40 |
Add |
|
|
|
|
|
|
|
|
|
4+5 |
|
|
|
4+2 |
|
4+0 |
Reduce |
5+2+2 |
2+2+5 |
4+5 |
|
|
|
|
1+8 |
1+4 |
9 |
- |
|
|
|
|
|
Deduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
8 |
- |
- |
|
26 |
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
|
- |
|
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
9 |
|
- |
|
18 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
|
- |
|
15 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
27 |
|
|
|
64 |
28 |
2+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
6 |
|
- |
|
15 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
|
- |
|
14 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
|
- |
|
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
|
|
|
34 |
16 |
1+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
2 |
|
- |
|
20 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
|
- |
|
23 |
5 |
5 |
|
|
|
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|
|
|
|
|
|
|
|
- |
- |
|
= |
6 |
|
- |
|
15 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
|
|
|
58 |
13 |
1+3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
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- |
- |
|
= |
2 |
|
- |
|
20 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
8 |
|
- |
|
8 |
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
9 |
|
- |
|
18 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
|
- |
|
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
|
- |
|
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
29 |
|
|
|
56 |
29 |
2+9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
6 |
|
- |
|
6 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
6 |
|
- |
|
15 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
3 |
|
- |
|
21 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
9 |
|
- |
|
18 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
24 |
|
|
|
60 |
24 |
2+4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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- |
- |
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= |
6 |
|
- |
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6 |
6 |
6 |
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- |
- |
|
= |
9 |
|
- |
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9 |
9 |
9 |
|
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- |
- |
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= |
4 |
|
- |
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22 |
4 |
4 |
|
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- |
- |
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= |
5 |
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- |
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5 |
5 |
5 |
|
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|
|
|
|
|
|
|
|
|
|
|
|
24 |
|
|
|
42 |
24 |
2+4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
- |
- |
|
= |
1 |
|
- |
|
19 |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
9 |
|
- |
|
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
6 |
|
- |
|
24 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
|
|
|
52 |
16 |
1+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
1 |
|
- |
|
19 |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
|
- |
|
5 |
5 |
5 |
|
|
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|
|
|
|
|
|
|
|
|
- |
- |
|
= |
4 |
|
- |
|
22 |
4 |
4 |
|
|
|
|
|
|
|
|
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|
|
|
- |
- |
|
= |
5 |
|
- |
|
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
|
- |
|
14 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20 |
|
|
|
65 |
20 |
2+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
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|
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- |
- |
|
= |
5 |
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- |
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5 |
5 |
5 |
|
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|
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|
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|
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- |
- |
|
= |
9 |
|
- |
|
9 |
9 |
9 |
|
|
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|
|
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- |
- |
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= |
7 |
|
- |
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|
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- |
- |
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= |
8 |
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- |
|
8 |
8 |
8 |
|
|
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|
|
|
|
|
|
|
|
- |
- |
|
= |
2 |
|
- |
|
20 |
2 |
2 |
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
31 |
|
|
|
49 |
31 |
3+1 |
|
|
|
|
|
|
|
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|
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|
|
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|
|
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- |
- |
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= |
5 |
|
- |
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14 |
5 |
5 |
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- |
- |
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= |
9 |
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- |
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9 |
9 |
9 |
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- |
- |
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= |
5 |
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- |
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14 |
5 |
5 |
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- |
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= |
5 |
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- |
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5 |
5 |
5 |
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24 |
|
|
|
42 |
24 |
2+4 |
|
|
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|
|
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|
|
|
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45 |
|
- |
- |
- |
|
40 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4+5 |
|
|
|
|
7+0 |
4+0 |
Reduce |
5+2+2 |
2+2+5 |
4+5 |
|
4+5 |
|
|
|
|
|
7+0 |
4+2 |
|
2+4 |
6+3 |
9 |
- |
|
|
|
|
|
Deduce |
|
|
|
|
|
|
|
|
|
|
|
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|
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- |
- |
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= |
8 |
- |
- |
|
26 |
8 |
8 |
|
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- |
- |
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= |
5 |
|
- |
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5 |
5 |
5 |
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- |
- |
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= |
9 |
|
- |
|
18 |
9 |
9 |
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- |
- |
|
= |
5 |
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- |
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15 |
6 |
6 |
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- |
- |
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= |
6 |
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- |
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15 |
6 |
6 |
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- |
- |
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= |
5 |
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- |
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14 |
5 |
5 |
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5 |
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- |
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5 |
5 |
5 |
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2 |
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- |
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20 |
2 |
2 |
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= |
5 |
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23 |
5 |
5 |
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6 |
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15 |
6 |
6 |
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20 |
2 |
2 |
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- |
- |
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= |
8 |
|
- |
|
8 |
8 |
8 |
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- |
- |
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= |
9 |
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- |
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18 |
9 |
9 |
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- |
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5 |
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15 |
6 |
6 |
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3 |
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21 |
3 |
3 |
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= |
9 |
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18 |
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9 |
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22 |
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1 |
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19 |
1 |
1 |
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9 |
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9 |
9 |
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6 |
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24 |
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6 |
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4 |
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5 |
5 |
5 |
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= |
5 |
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14 |
5 |
5 |
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5 |
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5 |
5 |
5 |
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= |
9 |
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9 |
9 |
9 |
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= |
7 |
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- |
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= |
8 |
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- |
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8 |
8 |
8 |
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- |
- |
|
= |
2 |
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- |
|
20 |
2 |
2 |
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- |
- |
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= |
5 |
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- |
|
14 |
5 |
5 |
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- |
- |
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= |
9 |
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- |
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9 |
9 |
9 |
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- |
- |
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= |
5 |
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- |
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14 |
5 |
5 |
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- |
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= |
5 |
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- |
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5 |
5 |
5 |
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45 |
|
- |
- |
- |
|
40 |
|
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|
|
|
|
|
|
4+5 |
|
|
|
|
7+0 |
4+0 |
REDUCE |
5+2+2 |
2+2+5 |
4+5 |
|
|
|
|
|
7+0 |
4+2 |
|
2+4 |
6+3 |
9 |
- |
|
|
|
|
|
DEDUCE |
|
|
|
|
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|
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- |
- |
|
= |
8 |
- |
1 |
|
26 |
8 |
8 |
|
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- |
- |
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= |
5 |
- |
1 |
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5 |
5 |
5 |
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- |
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= |
9 |
- |
1 |
|
18 |
9 |
9 |
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0 |
- |
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= |
6 |
- |
4 |
|
15 |
6 |
6 |
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- |
- |
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= |
6 |
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15 |
6 |
6 |
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= |
5 |
- |
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|
14 |
5 |
5 |
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1 |
- |
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= |
5 |
- |
3 |
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5 |
5 |
5 |
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- |
- |
|
= |
2 |
- |
- |
|
20 |
2 |
2 |
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- |
- |
|
= |
5 |
- |
3 |
|
23 |
5 |
5 |
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2 |
- |
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= |
6 |
- |
3 |
|
15 |
6 |
6 |
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- |
- |
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= |
2 |
- |
- |
|
20 |
2 |
2 |
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- |
- |
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= |
8 |
- |
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|
8 |
8 |
8 |
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- |
- |
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= |
9 |
- |
- |
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18 |
9 |
9 |
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- |
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= |
5 |
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5 |
5 |
5 |
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3 |
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= |
5 |
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5 |
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5 |
5 |
5 |
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- |
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= |
6 |
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6 |
6 |
6 |
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= |
6 |
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15 |
6 |
6 |
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- |
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= |
3 |
- |
- |
|
21 |
3 |
3 |
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4 |
- |
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= |
9 |
- |
4 |
|
18 |
9 |
9 |
|
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- |
- |
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= |
6 |
- |
- |
|
6 |
6 |
6 |
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- |
- |
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= |
9 |
- |
- |
|
9 |
9 |
9 |
|
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- |
- |
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= |
4 |
- |
- |
|
22 |
4 |
4 |
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5 |
- |
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= |
5 |
- |
4 |
|
5 |
5 |
5 |
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|
- |
- |
|
= |
1 |
- |
- |
|
19 |
1 |
1 |
|
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|
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- |
- |
|
= |
9 |
- |
- |
|
9 |
9 |
9 |
|
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|
6 |
- |
|
= |
6 |
- |
3 |
|
24 |
6 |
6 |
|
|
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|
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|
|
|
- |
- |
|
= |
1 |
- |
- |
|
19 |
1 |
1 |
|
|
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|
|
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|
|
|
|
- |
- |
|
= |
5 |
- |
- |
|
5 |
5 |
5 |
|
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|
- |
- |
|
= |
4 |
- |
- |
|
22 |
4 |
4 |
|
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|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
- |
- |
|
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
7 |
- |
|
= |
5 |
- |
7 |
|
14 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
- |
- |
|
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
9 |
- |
- |
|
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
7 |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
8 |
- |
- |
|
8 |
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
8 |
- |
|
= |
2 |
- |
5 |
|
20 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
- |
- |
|
14 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
9 |
- |
- |
|
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
= |
5 |
- |
- |
|
14 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
9 |
- |
|
= |
5 |
- |
4 |
|
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
45 |
|
- |
- |
42 |
- |
40 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4+5 |
|
|
|
4+2 |
|
4+0 |
Reduce |
5+2+2 |
2+2+5 |
4+5 |
|
4+5 |
|
|
|
|
|
7+0 |
4+2 |
|
2+4 |
6+3 |
9 |
- |
|
|
|
|
|
Deduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ZERO ONE TWO THREEFOUR FIVE SIX SEVEN EIGHT NINE
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
23 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
21 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
22 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
24 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
22 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
7 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
First Total |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4+5 |
|
4+0 |
Add to Reduce |
5+2+2 |
2+4+3 |
2+2+5 |
|
|
|
|
|
7+0 |
4+2 |
|
2+4 |
6+3 |
|
|
|
|
|
Second Total |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Reduce to Deduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Essence of Number |
|
|
|
|
|
|
|
|
|
|
|
|
|
ZERO ONE TWO THREEFOUR FIVE SIX SEVEN EIGHT NINE
LETTERS TRANSPOSED INTO NUMBERS REARRANGED IN NUMERICAL ORDER
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
21 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
22 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
22 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
23 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
6 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
24 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
7 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
First Total |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4+5 |
|
4+0 |
Add to Reduce |
5+2+2 |
2+4+3 |
2+2+5 |
|
|
|
|
|
7+0 |
4+2 |
|
2+4 |
6+3 |
|
|
|
|
|
Second Total |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Reduce to Deduce |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Essence of Number |
|
|
|
|
|
|
|
|
|
|
|
|
|
LETTERS TRANSPOSED INTO NUMBERS REARRANGED IN NUMERICAL ORDER
ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE
|
occurs |
x |
|
= |
2 |
= |
|
|
occurs |
x |
|
= |
6 |
= |
|
|
occurs |
x |
|
= |
3 |
= |
|
|
occurs |
x |
|
= |
8 |
= |
|
|
occurs |
x |
|
= |
70 |
7+0 |
|
|
occurs |
x |
|
= |
42 |
4+2 |
|
|
occurs |
x |
|
= |
7 |
= |
|
|
occurs |
x |
|
= |
24 |
2+4 |
|
|
occurs |
x |
|
= |
63 |
6+3 |
|
|
|
|
|
|
|
|
|
4+5 |
|
|
4+0 |
|
2+2+5 |
|
5+4 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
- |
|
|
|
- |
|
|
|
E |
|
- |
|
|
|
|
- |
|
|
|
|
- |
|
|
|
- |
|
|
|
E |
|
- |
|
|
|
H |
|
- |
|
|
|
E |
|
8 |
- |
- |
6 |
- |
6 |
5 |
- |
- |
- |
- |
6 |
- |
- |
8 |
- |
- |
- |
- |
- |
6 |
- |
- |
- |
- |
9 |
- |
- |
- |
1 |
9 |
6 |
- |
1 |
- |
- |
- |
5 |
- |
- |
9 |
- |
8 |
- |
- |
5 |
9 |
5 |
- |
|
26 |
- |
- |
15 |
- |
15 |
14 |
- |
- |
- |
- |
15 |
- |
- |
8 |
- |
- |
- |
- |
- |
15 |
- |
- |
- |
- |
9 |
- |
- |
- |
19 |
9 |
24 |
- |
19 |
- |
- |
- |
14 |
- |
- |
9 |
- |
8 |
- |
- |
14 |
9 |
14 |
- |
|
|
|
|
|
- |
|
|
|
- |
|
|
|
- |
|
|
|
E |
|
- |
|
|
|
|
- |
|
|
|
|
- |
|
|
|
- |
|
|
|
E |
|
- |
|
|
|
H |
|
- |
|
|
|
E |
|
- |
5 |
9 |
- |
- |
- |
- |
5 |
- |
2 |
5 |
- |
- |
2 |
- |
9 |
5 |
5 |
- |
6 |
- |
3 |
9 |
- |
6 |
- |
4 |
5 |
- |
- |
- |
- |
- |
- |
5 |
4 |
5 |
- |
- |
5 |
- |
7 |
- |
2 |
- |
- |
- |
- |
5 |
|
- |
5 |
18 |
- |
- |
- |
- |
5 |
- |
20 |
23 |
- |
- |
20 |
- |
18 |
5 |
5 |
- |
6 |
- |
21 |
18 |
- |
6 |
- |
22 |
5 |
- |
- |
- |
- |
- |
- |
5 |
22 |
5 |
- |
- |
5 |
- |
7 |
- |
20 |
- |
- |
- |
- |
5 |
|
|
|
|
|
- |
|
|
|
- |
|
|
|
- |
|
|
|
E |
|
- |
|
|
|
|
- |
|
|
|
|
- |
|
|
|
- |
|
|
|
E |
|
- |
|
|
|
H |
|
- |
|
|
|
E |
|
26 |
5 |
18 |
15 |
- |
15 |
14 |
5 |
- |
20 |
23 |
15 |
- |
20 |
8 |
18 |
5 |
5 |
- |
6 |
15 |
21 |
18 |
- |
6 |
9 |
22 |
5 |
- |
19 |
9 |
24 |
- |
19 |
5 |
22 |
5 |
14 |
- |
5 |
9 |
7 |
8 |
20 |
- |
14 |
9 |
14 |
5 |
|
8 |
5 |
9 |
6 |
- |
6 |
5 |
5 |
- |
2 |
5 |
6 |
- |
2 |
8 |
9 |
5 |
5 |
- |
6 |
6 |
3 |
9 |
- |
6 |
9 |
4 |
5 |
- |
1 |
9 |
6 |
- |
1 |
5 |
4 |
5 |
5 |
- |
5 |
9 |
7 |
8 |
2 |
- |
5 |
9 |
5 |
5 |
|
|
|
|
|
- |
|
|
|
- |
|
|
|
- |
|
|
|
|
|
- |
|
|
|
|
- |
|
|
|
|
- |
|
|
|
- |
|
|
|
|
|
- |
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-- |
|
5 |
|
|
|
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
|
|
5 |
|
|
|
|
|
|
6 |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
- |
|
|
|
- |
|
|
|
|
|
- |
|
|
|
|
- |
|
|
|
|
- |
|
|
|
- |
|
|
|
|
|
- |
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
-- |
|
5 |
|
|
|
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
|
|
|
|
|
5 |
|
|
|
|
|
4+5 |
|
|
|
|
- |
|
|
|
- |
|
|
|
- |
|
|
|
E |
|
- |
|
|
|
|
- |
|
|
|
|
- |
|
|
|
- |
|
|
|
E |
|
- |
|
|
|
H |
|
- |
|
|
|
E |
|
8 |
5 |
9 |
6 |
- |
6 |
5 |
5 |
- |
2 |
5 |
6 |
- |
2 |
8 |
9 |
5 |
5 |
- |
6 |
6 |
3 |
9 |
- |
6 |
9 |
4 |
5 |
- |
1 |
9 |
6 |
- |
1 |
5 |
4 |
5 |
5 |
- |
5 |
9 |
7 |
8 |
2 |
- |
5 |
9 |
5 |
|
|
|
|
|
|
- |
|
|
|
- |
|
|
|
- |
|
|
|
E |
|
- |
|
|
|
|
- |
|
|
|
|
- |
|
|
|
- |
|
|
|
E |
|
- |
|
|
|
H |
|
- |
|
|
|
E |
|
|
occurs |
x |
|
= |
2 |
= |
|
|
occurs |
x |
|
= |
6 |
= |
|
|
occurs |
x |
|
= |
3 |
= |
|
|
occurs |
x |
|
= |
8 |
= |
|
|
occurs |
x |
|
= |
70 |
7+0 |
|
|
occurs |
x |
|
= |
42 |
4+2 |
|
|
occurs |
x |
|
= |
7 |
= |
|
|
occurs |
x |
|
= |
24 |
2+4 |
|
|
occurs |
x |
|
= |
63 |
6+3 |
|
|
|
|
|
|
|
|
|
4+5 |
|
|
4+0 |
|
2+2+5 |
|
5+4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
H |
|
|
|
|
E |
|
8 |
- |
- |
6 |
6 |
5 |
- |
- |
- |
6 |
- |
8 |
- |
- |
- |
- |
6 |
- |
- |
- |
9 |
- |
- |
1 |
9 |
6 |
1 |
- |
- |
- |
5 |
- |
9 |
- |
8 |
- |
5 |
9 |
5 |
- |
|
26 |
- |
- |
15 |
15 |
14 |
- |
- |
- |
15 |
- |
8 |
- |
- |
- |
- |
15 |
- |
- |
- |
9 |
- |
- |
19 |
9 |
24 |
19 |
- |
- |
- |
14 |
- |
9 |
- |
8 |
- |
14 |
9 |
14 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
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|
|
|
|
|
|
|
|
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|
E |
|
|
|
|
H |
|
|
|
|
E |
|
- |
5 |
9 |
- |
- |
- |
5 |
2 |
5 |
- |
2 |
- |
9 |
5 |
5 |
6 |
- |
3 |
9 |
6 |
- |
4 |
5 |
- |
- |
- |
- |
5 |
4 |
5 |
- |
5 |
- |
7 |
- |
2 |
- |
- |
- |
5 |
|
- |
5 |
18 |
- |
- |
- |
5 |
20 |
23 |
- |
20 |
- |
18 |
5 |
5 |
6 |
- |
21 |
18 |
6 |
- |
22 |
5 |
- |
- |
- |
- |
5 |
22 |
5 |
- |
5 |
- |
7 |
- |
20 |
- |
- |
- |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
H |
|
|
|
|
E |
|
26 |
5 |
18 |
15 |
15 |
14 |
5 |
20 |
23 |
15 |
20 |
8 |
18 |
5 |
5 |
6 |
15 |
21 |
18 |
6 |
9 |
22 |
5 |
19 |
9 |
24 |
19 |
5 |
22 |
5 |
14 |
5 |
9 |
7 |
8 |
20 |
14 |
9 |
14 |
5 |
|
8 |
5 |
9 |
6 |
6 |
5 |
5 |
2 |
5 |
6 |
2 |
8 |
9 |
5 |
5 |
6 |
6 |
3 |
9 |
6 |
9 |
4 |
5 |
1 |
9 |
6 |
1 |
5 |
4 |
5 |
5 |
5 |
9 |
7 |
8 |
2 |
5 |
9 |
5 |
5 |
|
|
|
|
|
|
|
|
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|
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|
- |
- |
- |
|
|
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|
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- |
- |
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- |
- |
- |
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- |
- |
- |
|
|
|
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|
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|
|
|
|
|
|
|
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-- |
|
5 |
|
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
5 |
|
|
|
|
|
6 |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-- |
|
5 |
|
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
|
|
|
|
5 |
|
|
|
|
4+5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
H |
|
|
|
|
E |
|
8 |
5 |
9 |
6 |
6 |
5 |
5 |
2 |
5 |
6 |
2 |
8 |
9 |
5 |
5 |
6 |
6 |
3 |
9 |
6 |
9 |
4 |
5 |
1 |
9 |
6 |
1 |
5 |
4 |
5 |
5 |
5 |
9 |
7 |
8 |
2 |
5 |
9 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
H |
|
|
|
|
E |
|
0 |
- |
4 |
|
8 |
5 |
9 |
6 |
- |
= |
28 |
2+8 |
= |
10 |
1+0 |
1 |
1 |
- |
3 |
|
6 |
5 |
5 |
- |
- |
= |
16 |
1+6 |
= |
7 |
- |
7 |
2 |
- |
3 |
|
2 |
5 |
6 |
- |
- |
= |
13 |
1+3 |
= |
4 |
- |
4 |
3 |
- |
5 |
|
2 |
8 |
9 |
5 |
5 |
= |
29 |
2+9 |
= |
11 |
1+1 |
2 |
4 |
- |
4 |
|
6 |
6 |
3 |
9 |
- |
= |
24 |
2+4 |
= |
6 |
- |
6 |
5 |
- |
4 |
|
6 |
9 |
4 |
5 |
- |
= |
24 |
2+4 |
= |
6 |
- |
6 |
6 |
- |
3 |
|
1 |
9 |
6 |
- |
- |
= |
16 |
1+6 |
= |
7 |
- |
7 |
7 |
- |
5 |
|
1 |
5 |
4 |
5 |
5 |
= |
20 |
2+0 |
= |
2 |
- |
2 |
8 |
- |
5 |
|
5 |
9 |
7 |
8 |
2 |
= |
31 |
3+1 |
= |
4 |
- |
4 |
9 |
- |
4 |
|
5 |
9 |
5 |
5 |
- |
= |
24 |
2+4 |
= |
6 |
- |
6 |
45 |
- |
40 |
Add |
42 |
70 |
58 |
43 |
12 |
- |
225 |
- |
- |
63 |
- |
45 |
4+5 |
- |
4+0 |
- |
4+2 |
7+0 |
5+8 |
4+3 |
1+2 |
- |
2+2+5 |
- |
- |
6+3 |
- |
4+5 |
9 |
- |
4 |
Reduce |
6 |
7 |
13 |
7 |
3 |
- |
9 |
- |
- |
9 |
- |
9 |
- |
- |
- |
- |
- |
- |
1+3 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
9 |
- |
4 |
Deduce |
6 |
7 |
4 |
7 |
3 |
- |
9 |
- |
- |
9 |
- |
9 |
O |
= |
6 |
- |
3 |
|
34 |
16 |
7 |
T |
= |
2 |
- |
3 |
|
56 |
29 |
2 |
T |
= |
2 |
- |
5 |
|
52 |
16 |
7 |
F |
= |
6 |
- |
4 |
|
60 |
24 |
6 |
F |
= |
6 |
- |
4 |
|
65 |
20 |
2 |
S |
= |
1 |
- |
3 |
|
42 |
24 |
6 |
S |
= |
1 |
- |
5 |
|
58 |
13 |
4 |
E |
= |
5 |
- |
5 |
|
49 |
31 |
4 |
N |
= |
5 |
- |
4 |
|
42 |
24 |
6 |
- |
- |
34 |
- |
36 |
- |
|
|
|
- |
|
3+4 |
|
3+6 |
- |
4+5+8 |
1+9+7 |
4+4 |
- |
|
|
|
|
- |
|
|
|
- |
|
- |
|
|
- |
1+7 |
1+7 |
- |
- |
- |
7 |
- |
9 |
- |
|
|
|
|
|
|
3 |
|
34 |
16 |
|
|
|
|
3 |
|
58 |
13 |
|
|
|
|
5 |
|
56 |
29 |
|
|
|
|
4 |
|
60 |
24 |
|
F |
+ |
6 |
4 |
FIVE |
42 |
24 |
6 |
|
|
|
3 |
|
52 |
16 |
|
|
|
|
5 |
|
65 |
20 |
|
|
|
|
5 |
|
49 |
31 |
|
|
|
|
4 |
|
42 |
24 |
|
|
|
|
|
- |
|
|
|
|
|
3+9 |
3+6 |
- |
4+5+8 |
1+9+7 |
4+4 |
|
|
|
|
- |
|
|
|
|
|
1+2 |
|
- |
- |
- |
|
|
|
|
|
- |
|
|
|
NUMBER
9
THE SEARCH FOR THE SIGMA CODE
Cecil Balmond 1998
Page 32
5
To Sorcerers and Magicians number FIVE is the most powerful - five is the mark of the pentacle, a five pointed star drawn by extending the sides of a Pentagon. Five surely is in the possession of the occult. And the Pentagon is the geometric figure in which the golden ratio of classical art and architecture is found most.
THE
BALANCING
ONE TWO THREE FOUR
FIVE
NINE EIGHT SEVEN SIX
O |
= |
15 |
- |
3 |
|
34 |
16 |
7 |
- |
1 |
T |
= |
20 |
- |
3 |
|
58 |
13 |
4 |
- |
2 |
T |
= |
20 |
- |
5 |
|
56 |
29 |
2 |
- |
3 |
F |
= |
6 |
- |
4 |
|
60 |
24 |
6 |
- |
4 |
- |
- |
61 |
- |
15 |
Add |
208 |
82 |
19 |
- |
10 |
- |
- |
6+1 |
- |
1+5 |
Reduce |
2+0+8 |
8+2 |
1+9 |
- |
1+0 |
- |
- |
7 |
- |
6 |
Deduce |
10 |
10 |
10 |
- |
1 |
- |
- |
- |
- |
- |
Produce |
1+0 |
1+0 |
1+0 |
- |
- |
- |
- |
7 |
- |
6 |
Essence |
1 |
1 |
1 |
- |
1 |
N |
= |
14 |
- |
4 |
|
42 |
24 |
6 |
- |
9 |
E |
= |
5 |
- |
5 |
|
49 |
31 |
4 |
- |
8 |
S |
= |
19 |
- |
5 |
|
65 |
20 |
2 |
- |
7 |
S |
= |
19 |
- |
3 |
|
52 |
16 |
7 |
- |
6 |
- |
- |
57 |
- |
17 |
Add |
208 |
91 |
19 |
- |
30 |
- |
- |
5+7 |
- |
1+7 |
Reduce |
2+0+8 |
9+1 |
1+9 |
- |
3+0 |
- |
- |
12 |
- |
8 |
Deduce |
10 |
10 |
10 |
- |
3 |
- |
- |
1+2 |
- |
- |
Produce |
1+0 |
1+0 |
1+0 |
- |
- |
- |
- |
3 |
- |
8 |
Essence |
1 |
1 |
1 |
- |
3 |
1 2 3 4 5 6 7 8 9 9 8 7 6 5 4 3 2 1
15 |
ONE TWO THREE FOUR |
208 |
82 |
1 |
4 |
FIVE |
42 |
24 |
6 |
17 |
NINE EIGHT SEVEN SIX |
208 |
91 |
1 |
3 |
|
34 |
16 |
7 |
- |
3 |
|
52 |
16 |
7 |
3 |
|
58 |
13 |
4 |
- |
5 |
|
65 |
20 |
2 |
5 |
|
56 |
29 |
2 |
- |
5 |
|
49 |
31 |
4 |
4 |
|
60 |
24 |
6 |
- |
4 |
|
42 |
24 |
6 |
15 |
Add |
208 |
82 |
19 |
- |
17 |
Add |
208 |
91 |
19 |
1+5 |
Reduce |
2+0+8 |
8+2 |
1+9 |
- |
1+7 |
Reduce |
2+0+8 |
9+1 |
1+9 |
6 |
Deduce |
10 |
10 |
10 |
- |
8 |
Deduce |
10 |
10 |
10 |
- |
Produce |
1+0 |
1+0 |
1+0 |
- |
- |
Produce |
1+0 |
1+0 |
1+0 |
6 |
Essence |
1 |
1 |
1 |
- |
8 |
Essence |
1 |
1 |
1 |
ALWAYS BALANCING IS THAT FIVE THAT FIVE IS BALANCING ALWAYS
B |
= |
2 |
- |
7 |
BREATHE |
59 |
32 |
5 |
O |
= |
6 |
- |
2 |
ON |
29 |
11 |
2 |
M |
= |
4 |
- |
2 |
ME |
18 |
9 |
9 |
B |
= |
2 |
- |
6 |
BREATH |
54 |
27 |
9 |
O |
= |
6 |
- |
2 |
OF |
21 |
12 |
3 |
G |
= |
7 |
- |
3 |
GOD |
26 |
17 |
8 |
B |
- |
27 |
|
22 |
Add to Reduce |
|
180 |
36 |
- |
- |
2+7 |
- |
2+2 |
Reduce to Deduce |
2+0+7 |
1+8+0 |
3+6 |
- |
- |
9 |
- |
4 |
Essence of Number |
|
|
|
- |
- |
|
|
9 |
NINE |
- |
- |
|
- |
- |
|
1 |
- |
N |
14 |
5 |
5 |
- |
- |
|
1 |
- |
I |
9 |
9 |
9 |
- |
- |
|
2 |
- |
N+E |
19 |
10 |
1 |
N |
|
5 |
4 |
|
NINE |
|
|
|
- |
- |
|
|
|
- |
4+2 |
2+4 |
1+5 |
N |
|
5 |
3 |
|
NINE |
|
|
|
- |
- |
|
|
0 |
ZERO |
- |
- |
|
- |
- |
|
2 |
- |
Z+E |
31 |
13 |
4 |
- |
- |
|
1 |
- |
R |
18 |
9 |
9 |
- |
- |
|
1 |
- |
O |
15 |
6 |
6 |
Z |
|
8 |
4 |
|
ZERO |
|
|
|
- |
- |
|
|
|
- |
9+1 |
1+9 |
1+9 |
Z |
|
|
4 |
|
ZERO |
|
|
|
- |
- |
|
|
|
- |
1+0 |
1+0 |
1+0 |
Z |
|
|
4 |
|
ZERO |
|
|
|
- |
- |
|
|
1 |
ONE |
- |
- |
|
- |
- |
|
1 |
- |
O |
15 |
6 |
6 |
- |
- |
|
1 |
- |
N |
14 |
5 |
5 |
- |
- |
|
1 |
- |
E |
5 |
5 |
5 |
O |
|
6 |
3 |
|
ONE |
|
|
|
- |
- |
|
|
|
- |
3+4 |
1+6 |
1+6 |
O |
|
|
3 |
|
ONE |
|
|
|
- |
- |
|
|
2 |
TWO |
- |
- |
|
- |
- |
|
1 |
- |
T |
20 |
2 |
2 |
- |
- |
|
1 |
- |
W |
23 |
5 |
5 |
- |
- |
|
1 |
- |
O |
15 |
6 |
6 |
T |
|
2 |
3 |
|
TWO |
|
|
|
- |
- |
|
|
|
- |
5+8 |
1+3 |
1+3 |
T |
|
|
3 |
|
TWO |
|
|
|
- |
- |
|
|
|
- |
1+3 |
|
|
T |
|
|
3 |
|
TWO |
|
4 |
4 |
- |
- |
|
|
3 |
THREE |
- |
- |
|
- |
- |
|
1 |
- |
T |
20 |
2 |
2 |
- |
- |
|
1 |
- |
H |
8 |
8 |
8 |
- |
- |
|
1 |
- |
R |
18 |
9 |
9 |
- |
- |
|
2 |
- |
E+E |
10 |
10 |
1 |
T |
|
2 |
5 |
|
THREE |
|
|
|
- |
- |
|
|
|
- |
5+6 |
2+9 |
2+0 |
T |
|
|
5 |
|
THREE |
|
|
|
- |
- |
|
|
|
- |
1+1 |
1+1 |
|
T |
|
|
5 |
|
THREE |
|
|
2 |
- |
- |
|
|
4 |
FOUR |
- |
- |
|
- |
- |
|
1 |
- |
F |
6 |
6 |
6 |
- |
- |
|
2 |
- |
O+U |
36 |
9 |
9 |
- |
- |
|
1 |
- |
R |
18 |
9 |
9 |
F |
|
6 |
4 |
|
FOUR |
|
|
|
- |
- |
|
|
|
- |
6+0 |
2+4 |
2+4 |
F |
- |
|
4 |
|
FOUR |
|
|
|
- |
- |
|
|
5 |
FIVE |
- |
- |
|
- |
- |
|
1 |
- |
F |
6 |
6 |
6 |
- |
- |
|
1 |
- |
I |
9 |
9 |
9 |
- |
- |
|
2 |
- |
V+E |
27 |
9 |
9 |
F |
|
6 |
4 |
|
FIVE |
|
|
|
- |
- |
|
|
|
- |
6+0 |
2+4 |
2+4 |
F |
|
|
4 |
|
FIVE |
|
|
|
- |
- |
|
|
6 |
SIX |
- |
- |
|
- |
- |
|
1 |
- |
S |
19 |
10 |
1 |
- |
- |
|
1 |
- |
I |
9 |
9 |
9 |
- |
- |
|
1 |
- |
X |
24 |
6 |
6 |
S |
|
1 |
3 |
|
SIX |
|
|
|
- |
- |
|
|
|
- |
5+2 |
2+5 |
1+6 |
S |
|
|
3 |
|
SIX |
|
|
|
- |
- |
|
|
7 |
SEVEN |
- |
- |
|
- |
- |
|
1 |
- |
S |
19 |
10 |
1 |
- |
- |
|
2 |
- |
E+V |
27 |
9 |
9 |
- |
- |
|
2 |
- |
E+N |
19 |
10 |
1 |
S |
|
1 |
5 |
|
SEVEN |
|
|
|
- |
- |
|
|
|
- |
6+5 |
2+9 |
1+1 |
S |
|
|
5 |
|
SEVEN |
|
|
|
- |
- |
|
|
|
- |
1+1 |
1+1 |
|
S |
|
|
5 |
|
SEVEN |
|
|
2 |
- |
- |
|
|
8 |
EIGHT |
- |
- |
|
- |
- |
|
1 |
- |
E |
5 |
5 |
5 |
- |
- |
|
1 |
- |
I |
9 |
9 |
9 |
- |
- |
|
3 |
- |
G+H+T |
35 |
17 |
8 |
E |
|
5 |
5 |
|
EIGHT |
|
|
|
- |
- |
|
|
|
- |
4+9 |
3+1 |
|
E |
|
|
5 |
|
EIGHT |
|
4 |
4 |
- |
- |
|
|
|
- |
1+3 |
|
|
E |
|
|
5 |
|
EIGHT |
|
4 |
4 |
- |
- |
|
|
9 |
NINE |
- |
- |
|
- |
- |
|
1 |
- |
N |
14 |
5 |
5 |
- |
- |
|
1 |
- |
I |
9 |
9 |
9 |
- |
- |
|
2 |
- |
N+E |
19 |
10 |
1 |
N |
|
5 |
4 |
|
NINE |
|
|
|
- |
- |
|
|
|
- |
4+2 |
2+4 |
1+5 |
N |
|
5 |
3 |
|
NINE |
|
|
|
- |
- |
- |
10 |
- |
TEN |
|
|
- |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
T |
= |
2 |
10 |
3 |
|
|
|
|
- |
- |
- |
- |
- |
|
3+9 |
1+2 |
1+2 |
T |
= |
2 |
10 |
3 |
|
|
|
|
- |
- |
- |
- |
- |
|
1+2 |
- |
- |
T |
= |
2 |
10 |
3 |
|
|
|
|
- |
- |
- |
11 |
- |
ELEVEN |
|
|
- |
- |
- |
- |
- |
3 |
E+L+E |
22 |
13 |
4 |
- |
- |
- |
- |
2 |
V+E |
27 |
9 |
9 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
E |
= |
5 |
11 |
6 |
|
|
|
|
- |
- |
- |
- |
- |
|
6+3 |
2+7 |
1+8 |
E |
= |
5 |
11 |
6 |
|
|
|
|
- |
- |
- |
11 |
- |
ELEVEN |
|
|
- |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
L |
12 |
3 |
3 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
V |
22 |
4 |
4 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
E |
= |
5 |
11 |
6 |
|
|
|
|
- |
- |
- |
- |
- |
|
6+3 |
2+7 |
2+7 |
E |
= |
5 |
11 |
6 |
|
|
|
|
- |
- |
- |
12 |
- |
TWELVE |
|
|
- |
- |
- |
- |
- |
4 |
T+W+E+L |
60 |
15 |
6 |
- |
- |
- |
- |
2 |
V+E |
27 |
9 |
9 |
T |
= |
2 |
12 |
6 |
|
|
|
|
- |
- |
- |
- |
- |
|
8+7 |
2+4 |
1+5 |
T |
= |
2 |
12 |
6 |
|
|
|
|
6 |
- |
- |
- |
- |
|
1+5 |
- |
- |
T |
= |
2 |
12 |
6 |
|
|
|
|
- |
- |
- |
12 |
- |
TWELVE |
|
|
- |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
W |
23 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
L |
12 |
3 |
3 |
- |
- |
- |
- |
1 |
V |
22 |
4 |
4 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
T |
= |
2 |
12 |
6 |
|
|
|
|
- |
- |
- |
- |
- |
|
8+7 |
2+4 |
2+4 |
T |
= |
2 |
12 |
6 |
|
|
|
|
6 |
- |
- |
- |
- |
|
1+5 |
- |
- |
T |
= |
2 |
12 |
6 |
|
|
|
|
- |
- |
- |
- |
TEEN |
|
|
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
T |
= |
2 |
4 |
|
|
|
|
- |
- |
- |
- |
|
4+4 |
1+7 |
1+7 |
T |
= |
2 |
4 |
|
|
|
|
- |
- |
- |
13 |
- |
THIRTEEN |
|
|
- |
- |
- |
- |
- |
2 |
T+H |
28 |
10 |
1 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
- |
- |
- |
4 |
T+E+E+N |
44 |
17 |
8 |
T |
= |
2 |
13 |
8 |
|
|
|
|
- |
- |
- |
- |
- |
|
9+9 |
4+5 |
2+7 |
T |
= |
2 |
13 |
8 |
|
|
|
|
6 |
- |
- |
- |
- |
|
1+8 |
- |
- |
T |
= |
2 |
13 |
8 |
|
|
|
|
- |
- |
- |
13 |
- |
THIRTEEN |
|
|
- |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
H |
8 |
8 |
8 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
T |
= |
2 |
13 |
8 |
|
|
|
|
- |
- |
- |
- |
- |
|
9+9 |
4+5 |
2+7 |
T |
= |
2 |
13 |
8 |
|
|
|
|
6 |
- |
- |
- |
- |
|
1+8 |
- |
- |
T |
= |
2 |
13 |
8 |
|
|
|
|
- |
- |
- |
14 |
- |
FOURTEEN |
|
|
- |
- |
- |
- |
- |
1 |
F |
6 |
6 |
6 |
- |
- |
- |
- |
2 |
O+U |
36 |
9 |
9 |
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
- |
- |
- |
4 |
T+E+E+N |
44 |
17 |
8 |
F |
= |
6 |
14 |
8 |
|
|
|
|
- |
- |
- |
- |
- |
|
1+0+4 |
4+1 |
3+2 |
F |
= |
6 |
14 |
8 |
|
|
|
|
- |
- |
- |
14 |
- |
FOURTEEN |
|
|
- |
- |
- |
- |
- |
1 |
F |
6 |
6 |
6 |
- |
- |
- |
- |
1 |
O |
15 |
6 |
6 |
- |
- |
- |
- |
1 |
U |
21 |
3 |
3 |
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
F |
= |
6 |
14 |
8 |
|
|
|
|
- |
- |
- |
- |
- |
|
1+0+4 |
4+1 |
3+2 |
F |
= |
6 |
14 |
8 |
|
|
|
|
- |
- |
- |
15 |
- |
FIFTEEN |
|
|
- |
- |
- |
- |
- |
1 |
F |
6 |
6 |
6 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
5 |
F+T+E+E+N |
50 |
23 |
5 |
F |
= |
6 |
15 |
7 |
|
|
|
|
- |
- |
- |
- |
- |
|
6+5 |
3+8 |
2+0 |
F |
= |
6 |
15 |
7 |
|
|
|
|
6 |
- |
- |
- |
- |
|
1+1 |
1+1 |
- |
F |
= |
6 |
15 |
7 |
|
|
|
|
- |
- |
- |
15 |
- |
FIFTEEN |
|
|
- |
- |
- |
- |
- |
1 |
F |
6 |
6 |
6 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
F |
6 |
6 |
6 |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
F |
= |
6 |
15 |
7 |
|
|
|
|
- |
- |
- |
- |
- |
|
6+5 |
3+8 |
2+0 |
F |
= |
6 |
15 |
7 |
|
|
|
|
6 |
- |
- |
- |
- |
|
1+1 |
1+1 |
- |
F |
= |
6 |
15 |
7 |
|
|
|
|
- |
- |
- |
16 |
- |
|
|
|
- |
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
4 |
X+T+E+E |
54 |
18 |
9 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
S |
= |
1 |
16 |
7 |
SIXTEEN |
|
|
|
- |
- |
- |
- |
- |
|
9+6 |
4+2 |
2+4 |
S |
= |
1 |
16 |
7 |
SIXTEEN |
|
|
|
6 |
- |
- |
- |
- |
|
1+5 |
- |
- |
S |
= |
1 |
16 |
7 |
SIXTEEN |
|
|
|
- |
- |
- |
16 |
- |
|
|
|
- |
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
X |
24 |
6 |
6 |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
S |
= |
1 |
16 |
7 |
SIXTEEN |
|
|
|
- |
- |
- |
- |
- |
|
9+6 |
4+2 |
3+3 |
S |
= |
1 |
16 |
7 |
SIXTEEN |
|
|
|
6 |
- |
- |
- |
- |
|
1+5 |
- |
- |
S |
= |
1 |
16 |
7 |
SIXTEEN |
|
|
|
- |
- |
- |
17 |
- |
SEVENTEEN |
|
|
- |
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
- |
- |
- |
- |
2 |
E+V |
27 |
9 |
9 |
- |
- |
- |
- |
6 |
E+N+T+E+E+N |
63 |
27 |
9 |
S |
= |
1 |
17 |
9 |
SEVENTEEN |
|
|
|
- |
- |
- |
- |
- |
|
1+0+9 |
4+6 |
1+9 |
S |
= |
1 |
17 |
9 |
SEVENTEEN |
|
|
|
6 |
- |
- |
- |
- |
|
1+0 |
1+0 |
1+0 |
S |
= |
1 |
17 |
9 |
SEVENTEEN |
|
|
|
- |
- |
- |
17 |
- |
SEVENTEEN |
|
|
- |
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
V |
22 |
4 |
4 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
S |
= |
1 |
17 |
9 |
SEVENTEEN |
|
|
|
- |
- |
- |
- |
- |
|
1+0+9 |
4+6 |
1+9 |
S |
= |
1 |
17 |
9 |
SEVENTEEN |
|
|
|
6 |
- |
- |
- |
- |
|
1+0 |
1+0 |
1+0 |
S |
= |
1 |
17 |
9 |
SEVENTEEN |
|
|
|
- |
- |
- |
18 |
- |
EIGHTEEN |
|
|
- |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
5 |
G+H+T+E+E |
45 |
27 |
9 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
E |
= |
5 |
18 |
8 |
|
|
|
|
- |
- |
- |
- |
- |
|
7+3 |
4+6 |
2+8 |
E |
= |
5 |
18 |
8 |
|
|
|
|
6 |
- |
- |
- |
- |
|
1+0 |
1+0 |
1+0 |
E |
= |
5 |
18 |
8 |
|
|
|
|
|
|
171 |
81 |
9 |
|
9 |
|
N |
14 |
5 |
|
|
|
|
I |
9 |
9 |
|
|
9 |
1 |
N |
14 |
5 |
5 |
|
5 |
|
E |
5 |
5 |
|
|
|
|
T |
20 |
2 |
|
|
9 |
|
E |
5 |
5 |
|
|
|
1 |
E |
5 |
5 |
5 |
|
5 |
|
N |
14 |
5 |
|
|
|
8 |
NINETEEN |
86 |
41 |
41 |
|
30 |
- |
|
8+6 |
4+1 |
4+1 |
|
3+0 |
8 |
NINETEEN |
14 |
5 |
5 |
|
3 |
|
|
1+4 |
|
|
|
|
8 |
NINETEEN |
5 |
5 |
5 |
|
3 |
N |
5 |
- |
|
NINETEEN |
- |
- |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
N |
5 |
- |
|
NINETEEN |
|
|
|
- |
- |
- |
- |
- |
8+6 |
4+1 |
4+1 |
N |
5 |
- |
|
NINETEEN |
|
|
|
- |
- |
- |
|
- |
1+4 |
4+1 |
4+1 |
N |
5 |
- |
|
NINETEEN |
|
|
|
- |
TEEN |
|
|
- |
1 |
T |
20 |
2 |
2 |
3 |
E+E+N |
24 |
15 |
6 |
4 |
|
|
|
|
- |
|
4+4 |
1+7 |
- |
4 |
|
|
|
|
- |
- |
- |
- |
TEEN |
|
|
- |
- |
- |
- |
1 |
T |
20 |
2 |
2 |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
T |
= |
2 |
4 |
|
|
|
|
- |
- |
- |
- |
|
4+4 |
1+7 |
1+7 |
T |
= |
2 |
4 |
|
|
|
|
TEN ELEVEN TWELVE THIRTEEN FOURTEEN FIFTEEN SIXTEEN SEVENTEEN EIGHTEEN NINETEEN
T55 5L5V55 T55LV5 THIRT555 FOURT555 FIFT555 SIXT555 S5V55T555 5IGHT555 5I55T555
TEN ELEVEN TWELVE THIRTEEN FOURTEEN FIFTEEN SIXTEEN SEVENTEEN EIGHTEEN NINETEEN
5 X 37 X 5
LOOK AT THE 5FIVES LOOK AT THE 5FIVES LOOK AT THE 5FIVES THE 5FIVES THE 5FIVES
ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE
O55 T5O THR55 FOUR FIV5 SIX S5V55 5IGHT 5I5
ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE
5 X 13 X 5
TEN ELEVEN TWELVE THIRTEEN FOURTEEN FIFTEEN SIXTEEN SEVENTEEN EIGHTEEN NINETEEN
5 X 37 X 5
ZERO 5 X 1 X 5 ZERO
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
5 X 13 X 5
5 X 37 X 5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
5 X 50 X 5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
TWENTY 5 X 3 X 5 TWENTY
F |
= |
6 |
- |
3 |
FOR |
39 |
21 |
3 |
E |
= |
5 |
- |
5 |
EVERY |
75 |
30 |
3 |
A |
= |
1 |
- |
6 |
ACTION |
62 |
26 |
8 |
T |
= |
2 |
- |
5 |
THERE |
56 |
29 |
2 |
I |
= |
9 |
- |
2 |
IS |
28 |
19 |
1 |
A |
= |
1 |
- |
2 |
AN |
15 |
6 |
6 |
E |
= |
5 |
- |
5 |
EQUAL |
56 |
20 |
2 |
A |
= |
1 |
- |
3 |
AND |
19 |
10 |
1 |
O |
= |
6 |
- |
8 |
OPPOSITE |
115 |
43 |
7 |
R |
= |
9 |
- |
8 |
REACTION |
85 |
40 |
4 |
- |
- |
45 |
|
46 |
First Total |
|
|
|
- |
- |
4+5 |
- |
4+6 |
Add to Reduce |
5+5+0 |
2+4+4 |
3+7 |
Q |
- |
9 |
- |
|
Second Total |
|
|
|
- |
- |
- |
|
1+0 |
Reduce to Deduce |
1+0 |
1+0 |
1+0 |
- |
- |
9 |
|
|
Essence of Number |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
|
18 |
18 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
|
35 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
|
25 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
|
5 |
|
76 |
22 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
|
48 |
21 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
|
55 |
28 |
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
|
2 |
|
27 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
|
|
|
|
10 |
|
133 |
61 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
|
121 |
49 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
|
2 |
|
23 |
14 |
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
9 |
|
65 |
29 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
First Total |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3+5 |
|
5+8 |
Add to Reduce |
9+9+5 |
2+6+6 |
5+9 |
|
|
|
|
|
|
|
1+4 |
|
1+8 |
|
|
|
|
|
Second Total |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+3 |
Reduce to Deduce |
2+3 |
1+4 |
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Essence of Number |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
1 |
20 |
21 |
13 |
|
|
|
5+5 |
= |
|
1+0 |
|
- |
|
1 |
2 |
3 |
4 |
|
|
|
1+0 |
= |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
1 |
20 |
21 |
13 |
|
|
|
5+5 |
= |
|
1+0 |
|
- |
|
1 |
2 |
3 |
4 |
|
|
|
1+0 |
= |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
1 |
20 |
21 |
13 |
|
|
|
5+5 |
= |
|
1+0 |
|
- |
|
1 |
2 |
3 |
4 |
|
|
|
1+0 |
= |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
- |
|
|
|
|
occurs |
x |
|
= |
|
- |
- |
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
- |
- |
- |
|
|
|
|
|
|
occurs |
x |
|
= |
|
- |
- |
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
5 |
- |
- |
- |
- |
- |
- |
- |
|
FIVE |
|
- |
- |
- |
6 |
- |
- |
- |
- |
- |
- |
- |
|
SIX |
|
- |
- |
- |
7 |
- |
- |
- |
- |
- |
- |
- |
|
SEVEN |
|
- |
- |
- |
8 |
- |
- |
- |
- |
- |
- |
- |
|
EIGHT |
|
- |
- |
- |
9 |
- |
- |
- |
- |
- |
- |
- |
|
NINE |
|
- |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3+5 |
|
1 |
2 |
3 |
4 |
|
|
1+0 |
- |
|
|
Q |
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
1 |
20 |
21 |
13 |
|
|
|
5+5 |
= |
|
1+0 |
|
|
1 |
2 |
3 |
4 |
|
|
|
1+0 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
1 |
20 |
21 |
13 |
|
|
|
5+5 |
= |
|
1+0 |
|
|
1 |
2 |
3 |
4 |
|
|
|
1+0 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
1 |
20 |
21 |
13 |
|
|
|
5+5 |
= |
|
1+0 |
|
|
1 |
2 |
3 |
4 |
|
|
|
1+0 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
- |
|
|
|
|
occurs |
x |
|
= |
|
- |
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
- |
- |
|
|
|
|
|
|
occurs |
x |
|
= |
|
- |
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
2 |
3 |
4 |
|
|
1+0 |
- |
|
|
Q |
1+0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
AUTUMN ATUM AUTUMN
|
|
|
|
|
|
M |
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
14 |
|
|
|
1+4 |
|
|
|
|
|
|
|
|
|
|
M |
|
|
|
|
|
|
|
|
- |
- |
- |
1 |
3 |
2 |
3 |
4 |
|
|
|
|
1+3 |
|
|
|
|
- |
- |
1 |
21 |
20 |
21 |
13 |
|
|
|
|
7+6 |
|
|
1+3 |
|
|
|
|
|
|
|
M |
|
|
|
|
|
|
|
|
- |
- |
- |
1 |
21 |
20 |
21 |
13 |
14 |
|
|
|
9+0 |
|
|
|
|
- |
- |
1 |
3 |
2 |
3 |
4 |
5 |
|
|
|
1+8 |
|
|
|
|
|
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
- |
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
6 |
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
|
|
- |
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
5 |
|
|
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3+0 |
|
- |
- |
- |
|
|
|
|
|
1+5 |
|
|
|
|
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
1 |
3 |
2 |
3 |
4 |
5 |
|
|
- |
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
M |
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
14 |
|
|
|
1+4 |
|
|
|
|
|
|
|
|
|
M |
|
|
|
|
|
|
|
|
- |
- |
1 |
3 |
2 |
3 |
4 |
|
|
|
|
1+3 |
|
|
|
|
- |
1 |
21 |
20 |
21 |
13 |
|
|
|
|
7+6 |
|
|
1+3 |
|
|
|
|
|
|
M |
|
|
|
|
|
|
|
|
- |
- |
1 |
21 |
20 |
21 |
13 |
14 |
|
|
|
9+0 |
|
|
|
|
- |
1 |
3 |
2 |
3 |
4 |
5 |
|
|
|
1+8 |
|
|
|
|
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
- |
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
6 |
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
|
- |
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
|
|
1+5 |
|
|
|
|
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
1 |
3 |
2 |
3 |
4 |
5 |
|
|
- |
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
14 |
|
|
|
1+4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
1 |
3 |
2 |
3 |
4 |
|
|
|
|
1+3 |
|
|
|
|
- |
1 |
21 |
20 |
21 |
13 |
|
|
|
|
7+6 |
|
|
1+3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
1 |
21 |
20 |
21 |
13 |
14 |
|
|
|
9+0 |
|
|
|
|
- |
1 |
3 |
2 |
3 |
4 |
5 |
|
|
|
1+8 |
|
|
|
|
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
- |
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
6 |
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
|
- |
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
|
|
1+5 |
|
|
|
|
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
1 |
3 |
2 |
3 |
4 |
5 |
|
|
- |
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
AUTUMN ATUM AUTUMN
QUANTUM ATUM QUANTUM
- |
|
- |
- |
|
4 |
|
55 |
10 |
|
7 |
|
107 |
26 |
|
4 |
|
55 |
10 |
|
7 |
|
107 |
26 |
|
3 |
|
52 |
16 |
|
7 |
|
107 |
26 |
|
- |
QUANTUM |
- |
- |
- |
1 |
Q |
17 |
8 |
8 |
3 |
UAN |
35 |
9 |
9 |
3 |
TUM |
54 |
9 |
9 |
7 |
QUANTUM |
|
|
|
- |
- |
1+0+7 |
2+6 |
2+6 |
7 |
QUANTUM |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
|
5 |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
14 |
|
|
|
|
|
|
1+4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
8 |
3 |
1 |
|
2 |
3 |
4 |
|
|
|
2+1 |
|
|
|
|
- |
- |
17 |
21 |
1 |
|
20 |
21 |
13 |
|
|
|
9+3 |
|
|
1+2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
17 |
21 |
1 |
14 |
20 |
21 |
13 |
|
|
|
1+0+7 |
|
|
|
|
- |
- |
8 |
3 |
1 |
5 |
2 |
3 |
4 |
|
|
|
2+6 |
|
|
|
|
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
- |
|
|
|
- |
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
- |
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
- |
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
|
|
|
|
|
|
- |
|
|
|
|
|
occurs |
x |
|
= |
5 |
|
|
- |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
occurs |
x |
|
= |
8 |
|
|
|
- |
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2+2 |
|
- |
|
|
|
- |
|
|
|
|
2+3 |
|
|
|
|
2+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
3 |
1 |
5 |
2 |
3 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
5 |
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
14 |
|
|
|
|
|
|
1+4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
8 |
3 |
1 |
|
2 |
3 |
4 |
|
|
|
2+1 |
|
|
|
|
- |
17 |
21 |
1 |
|
20 |
21 |
13 |
|
|
|
9+3 |
|
|
1+2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
17 |
21 |
1 |
14 |
20 |
21 |
13 |
|
|
|
1+0+7 |
|
|
|
|
- |
8 |
3 |
1 |
5 |
2 |
3 |
4 |
|
|
|
2+6 |
|
|
|
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
|
|
|
- |
|
|
|
|
|
occurs |
x |
|
= |
|
|
- |
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
- |
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
|
|
|
|
|
- |
|
|
|
|
|
occurs |
x |
|
= |
5 |
|
|
|
|
|
- |
|
|
|
|
|
occurs |
x |
|
= |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
- |
|
|
|
|
2+3 |
|
|
|
|
2+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
3 |
1 |
5 |
2 |
3 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
5 |
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
14 |
|
|
|
|
|
|
1+4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
8 |
3 |
1 |
|
2 |
3 |
4 |
|
|
|
2+1 |
|
|
|
|
- |
17 |
21 |
1 |
|
20 |
21 |
13 |
|
|
|
9+3 |
|
|
1+2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
17 |
21 |
1 |
14 |
20 |
21 |
13 |
|
|
|
1+0+7 |
|
|
|
|
- |
8 |
3 |
1 |
5 |
2 |
3 |
4 |
|
|
|
2+6 |
|
|
|
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
- |
|
|
|
- |
|
|
|
|
|
occurs |
x |
|
= |
|
|
- |
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
- |
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
|
|
|
|
|
- |
|
|
|
|
|
occurs |
x |
|
= |
5 |
|
|
|
|
|
- |
|
|
|
|
|
occurs |
x |
|
= |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
2 |
3 |
4 |
|
|
2+3 |
|
|
|
|
2+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
3 |
1 |
5 |
2 |
3 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
RA ATUM ATUM RA
Q |
= |
8 |
- |
7 |
QUANTUM |
|
|
|
E |
= |
5 |
- |
8 |
ENERGIES |
82 |
46 |
1 |
- |
- |
13 |
- |
27 |
First Total |
|
|
|
- |
- |
1+3 |
- |
2+7 |
Add to Reduce |
1+8+9 |
7+2 |
- |
Q |
- |
4 |
- |
9 |
Second Total |
|
|
|
- |
- |
- |
- |
|
Reduce to Deduce |
1+8 |
- |
- |
- |
- |
4 |
5 |
|
Essence of Number |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
|
|
|
5 |
|
|
|
|
|
5 |
|
|
|
9 |
|
1 |
|
|
|
2+0 |
|
|
|
|
|
|
- |
- |
|
|
|
14 |
|
|
|
|
|
14 |
|
|
|
9 |
|
19 |
|
|
|
5+6 |
|
|
1+1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
8 |
3 |
1 |
|
2 |
3 |
4 |
|
5 |
|
5 |
9 |
7 |
|
5 |
|
|
|
|
5+2 |
|
|
|
|
|
|
- |
- |
17 |
21 |
1 |
|
20 |
21 |
13 |
|
5 |
|
5 |
18 |
7 |
|
5 |
|
|
|
|
1+3+3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
- |
17 |
21 |
1 |
14 |
20 |
21 |
13 |
|
5 |
14 |
5 |
18 |
7 |
9 |
5 |
19 |
|
|
|
1+8+9 |
|
|
1+8 |
|
|
|
- |
- |
8 |
3 |
1 |
5 |
2 |
3 |
4 |
|
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
|
|
7+2 |
|
|
|
|
|
|
|
15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
- |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
4 |
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
25 |
2+5 |
|
|
|
- |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
|
|
|
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
8 |
|
|
|
|
|
- |
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
occurs |
x |
|
= |
18 |
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+5 |
- |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
3+9 |
|
|
1+5 |
|
7+2 |
|
4+5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
3 |
1 |
5 |
2 |
3 |
4 |
|
5 |
5 |
5 |
9 |
7 |
9 |
5 |
1 |
|
|
1+2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
QUANTUM THOUGHTS GODS THOUGHTS QUANTUM
A |
= |
1 |
- |
3 |
AND |
|
|
|
Q |
= |
8 |
- |
7 |
QUANTUM |
|
|
|
I |
= |
9 |
- |
2 |
IS |
28 |
10 |
1 |
A |
= |
1 |
- |
2 |
AS |
|
|
|
Q |
= |
8 |
- |
7 |
QUANTUM |
|
|
|
D |
= |
4 |
- |
4 |
DOES |
43 |
16 |
7 |
- |
- |
31 |
- |
25 |
First Total |
|
|
|
- |
- |
3+1 |
- |
2+5 |
Add to Reduce |
3+2+4 |
9+0 |
2+7 |
Q |
- |
4 |
- |
7 |
Second Total |
|
|
|
- |
- |
- |
- |
|
Reduce to Deduce |
- |
- |
- |
- |
- |
4 |
5 |
|
Essence of Number |
|
|
|
PROBLEMS - PROBLEMS
|
|
|
|
8 |
|
100 |
46 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
7 |
|
|
R |
= |
9 |
2 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
|
|
9 |
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
B |
= |
2 |
4 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
L |
= |
3 |
5 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
37 |
- |
8 |
|
100 |
46 |
37 |
|
|
|
|
|
5 |
|
|
|
|
- |
- |
3+7 |
- |
- |
- |
1+0+0 |
4+6 |
3+7 |
|
|
|
|
|
|
|
|
|
|
- |
- |
10 |
- |
8 |
|
1 |
10 |
10 |
|
|
|
|
|
5 |
|
|
|
|
- |
- |
1+0 |
|
|
|
|
1+0 |
1+0 |
|
|
|
|
|
|
|
|
|
|
- |
- |
1 |
- |
8 |
|
1 |
1 |
1 |
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
8 |
|
100 |
46 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
7 |
|
|
R |
= |
9 |
2 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
|
|
9 |
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
B |
= |
2 |
4 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
L |
= |
3 |
5 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
37 |
- |
8 |
|
100 |
46 |
37 |
|
|
|
|
|
5 |
|
|
|
|
- |
- |
3+7 |
- |
- |
- |
1+0+0 |
4+6 |
3+7 |
|
|
|
|
|
|
|
|
|
|
- |
- |
10 |
- |
8 |
|
1 |
10 |
10 |
|
|
|
|
|
5 |
|
|
|
|
- |
- |
1+0 |
|
|
|
|
1+0 |
1+0 |
|
|
|
|
|
|
|
|
|
|
- |
- |
1 |
- |
8 |
|
1 |
1 |
1 |
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
8 |
|
100 |
46 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
B |
= |
2 |
4 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
L |
= |
3 |
5 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
7 |
|
|
R |
= |
9 |
2 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
|
|
9 |
- |
- |
37 |
- |
8 |
|
100 |
46 |
37 |
|
|
|
|
|
5 |
|
|
|
|
- |
- |
3+7 |
- |
- |
- |
1+0+0 |
4+6 |
3+7 |
|
|
|
|
|
|
|
|
|
|
- |
- |
10 |
- |
8 |
|
1 |
10 |
10 |
|
|
|
|
|
5 |
|
|
|
|
- |
- |
1+0 |
|
|
|
|
1+0 |
1+0 |
|
|
|
|
|
|
|
|
|
|
- |
- |
1 |
- |
8 |
|
1 |
1 |
1 |
|
|
|
|
|
5 |
|
|
|
|
LETTERS RE ARRANGED NUMERICALLY
|
|
|
|
8 |
|
100 |
46 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
B |
= |
2 |
4 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
L |
= |
3 |
5 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
7 |
|
R |
= |
9 |
2 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
|
9 |
- |
- |
37 |
- |
8 |
|
100 |
46 |
37 |
|
|
|
|
|
5 |
|
|
|
- |
- |
3+7 |
- |
- |
- |
1+0+0 |
4+6 |
3+7 |
|
|
|
|
|
|
|
|
|
- |
- |
10 |
- |
8 |
|
1 |
10 |
10 |
|
|
|
|
|
5 |
|
|
|
- |
- |
1+0 |
|
|
|
|
1+0 |
1+0 |
|
|
|
|
|
|
|
|
|
- |
- |
1 |
- |
8 |
|
1 |
1 |
1 |
|
|
|
|
|
5 |
|
|
|
LETTERS RE ARRANGED NUMERICALLY
SOLVE PROBLEMS SOLVE
|
|
|
|
7 |
|
98 |
44 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
|
100 |
46 |
37 |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
L |
= |
3 |
3 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
22 |
4 |
|
|
|
|
|
|
|
|
|
|
|
I |
= |
9 |
5 |
1 |
I |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
9 |
|
|
|
6 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
7 |
7 |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
35 |
- |
- |
|
98 |
44 |
35 |
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
7 |
|
|
R |
= |
9 |
9 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
|
|
9 |
|
|
|
10 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
B |
= |
2 |
11 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
L |
= |
3 |
12 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
37 |
|
|
|
100 |
46 |
37 |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
98 |
44 |
35 |
|
|
|
|
|
10 |
12 |
14 |
|
18 |
- |
- |
- |
- |
8 |
|
100 |
46 |
37 |
|
|
|
|
|
1+0 |
1+2 |
1+4 |
|
1+8 |
- |
- |
72 |
- |
15 |
First Total |
198 |
90 |
72 |
|
|
|
|
|
1 |
3 |
|
|
9 |
- |
- |
7+2 |
- |
1+5 |
Add to Reduce |
1+9+8 |
9+0 |
7+2 |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
6 |
Second Total |
18 |
|
|
|
|
|
|
|
1 |
|
|
|
|
- |
- |
|
|
|
Reduce to Deduce |
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
6 |
Essence of Number |
9 |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
7 |
|
98 |
44 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
|
100 |
46 |
37 |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
L |
= |
3 |
3 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
22 |
4 |
|
|
|
|
|
|
|
|
|
|
|
I |
= |
9 |
5 |
1 |
I |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
9 |
|
|
|
6 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
7 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
7 |
|
|
R |
= |
9 |
9 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
|
|
9 |
|
|
|
10 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
B |
= |
2 |
11 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
L |
= |
3 |
12 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
98 |
44 |
35 |
|
|
|
|
|
10 |
12 |
14 |
|
18 |
- |
- |
- |
- |
8 |
|
100 |
46 |
37 |
|
|
|
|
|
1+0 |
1+2 |
1+4 |
|
1+8 |
- |
- |
72 |
- |
15 |
First Total |
198 |
90 |
72 |
|
|
|
|
|
1 |
3 |
|
|
9 |
- |
- |
7+2 |
- |
1+5 |
Add to Reduce |
1+9+8 |
9+0 |
7+2 |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
6 |
Second Total |
18 |
|
|
|
|
|
|
|
1 |
|
|
|
|
- |
- |
|
|
|
Reduce to Deduce |
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
6 |
Essence of Number |
9 |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
7 |
|
98 |
44 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
|
100 |
46 |
37 |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
B |
= |
2 |
11 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
L |
= |
3 |
3 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
L |
= |
3 |
12 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
22 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
7 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
7 |
|
|
I |
= |
9 |
5 |
1 |
I |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
|
9 |
R |
= |
9 |
9 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
|
|
9 |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
98 |
44 |
35 |
|
|
|
|
|
10 |
12 |
14 |
|
18 |
- |
- |
- |
- |
8 |
|
100 |
46 |
37 |
|
|
|
|
|
1+0 |
1+2 |
1+4 |
|
1+8 |
- |
- |
72 |
- |
15 |
First Total |
198 |
90 |
72 |
|
|
|
|
|
1 |
3 |
|
|
9 |
- |
- |
7+2 |
- |
1+5 |
Add to Reduce |
1+9+8 |
9+0 |
7+2 |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
6 |
Second Total |
18 |
|
|
|
|
|
|
|
1 |
|
|
|
|
- |
- |
|
|
|
Reduce to Deduce |
1+8 |
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
6 |
Essence of Number |
9 |
|
|
|
|
|
|
|
1 |
|
|
|
|
LETTERS RE ARRANGED NUMERICALLY
|
|
|
|
7 |
|
98 |
44 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
|
100 |
46 |
37 |
|
|
|
|
|
|
|
|
|
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
B |
= |
2 |
11 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
L |
= |
3 |
3 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
L |
= |
3 |
12 |
1 |
L |
12 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
22 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
1 |
|
13 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
7 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
7 |
|
I |
= |
9 |
5 |
1 |
I |
9 |
9 |
9 |
|
|
|
|
|
|
|
|
9 |
R |
= |
9 |
9 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
|
9 |
- |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
98 |
44 |
35 |
|
|
|
|
|
10 |
12 |
14 |
18 |
- |
- |
- |
- |
8 |
|
100 |
46 |
37 |
|
|
|
|
|
1+0 |
1+2 |
1+4 |
1+8 |
- |
- |
72 |
- |
15 |
First Total |
198 |
90 |
72 |
|
|
|
|
|
1 |
3 |
|
9 |
- |
- |
7+2 |
- |
1+5 |
Add to Reduce |
1+9+8 |
9+0 |
7+2 |
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
6 |
Second Total |
18 |
|
|
|
|
|
|
|
1 |
|
|
|
- |
- |
|
|
|
Reduce to Deduce |
1+8 |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
6 |
Essence of Number |
9 |
|
|
|
|
|
|
|
1 |
|
|
|
EVOLVE LOVE EVOLVE
LOVE EVOLVE LOVE
EVOLVE REVOLVE EVOLVE
REVOLVE EVOLVE REVOLVE
SOLVE LOVES SOLVE
H |
= |
8 |
- |
4 |
HOLY |
60 |
24 |
6 |
C |
= |
3 |
- |
10 |
CONSCIENCE |
90 |
45 |
9 |
T |
= |
2 |
- |
3 |
THE |
33 |
15 |
6 |
I |
= |
9 |
- |
5 |
INNER |
60 |
33 |
6 |
V |
= |
4 |
- |
5 |
VOICE |
54 |
27 |
9 |
- |
- |
26 |
- |
27 |
First Total |
|
|
|
- |
- |
2+6 |
- |
2+7 |
Add to Reduce |
2+9+7 |
1+4+4 |
2+7 |
Q |
- |
8 |
- |
9 |
Second Total |
|
|
|
- |
- |
- |
- |
|
Reduce to Deduce |
1+8 |
- |
- |
- |
- |
8 |
5 |
|
Essence of Number |
|
|
|
.......
26 |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
9 |
|
|
|
|
5 |
6 |
|
|
|
1 |
|
|
|
|
6 |
|
8 |
+ |
= |
|
4+3 |
= |
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
9 |
|
|
|
|
14 |
15 |
|
|
|
19 |
|
|
|
|
24 |
|
26 |
+ |
= |
|
1+1+5 |
= |
|
|
|
|
|
26 |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
1 |
2 |
3 |
4 |
|
|
7 |
8 |
9 |
|
2 |
3 |
4 |
5 |
|
7 |
|
+ |
= |
|
8+3 |
= |
|
1+1 |
|
|
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
|
10 |
11 |
12 |
13 |
|
|
16 |
17 |
18 |
|
20 |
21 |
22 |
23 |
|
25 |
|
+ |
= |
|
2+3+6 |
= |
|
1+1 |
|
|
|
26 |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
+ |
= |
|
3+5+1 |
= |
|
|
|
|
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
+ |
= |
|
1+2+6 |
= |
|
|
|
|
|
26 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
+ |
= |
|
occurs |
x |
3 |
= |
|
|
|
|
|
2 |
|
|
|
|
|
|
|
|
2 |
|
|
|
|
|
|
|
|
2 |
|
|
|
|
|
|
+ |
= |
|
occurs |
x |
3 |
= |
|
|
|
|
|
|
3 |
|
|
|
|
|
|
|
|
3 |
|
|
|
|
|
|
|
|
3 |
|
|
|
|
|
+ |
= |
|
occurs |
x |
3 |
= |
|
|
|
|
|
|
|
4 |
|
|
|
|
|
|
|
|
4 |
|
|
|
|
|
|
|
|
4 |
|
|
|
|
+ |
= |
|
occurs |
x |
3 |
= |
|
1+2 |
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
5 |
|
|
|
|
|
|
|
|
5 |
|
|
|
+ |
= |
|
occurs |
x |
3 |
= |
|
1+5 |
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
|
|
6 |
|
|
+ |
= |
|
occurs |
x |
3 |
= |
|
1+8 |
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
|
|
7 |
|
+ |
= |
|
occurs |
x |
3 |
= |
|
2+1 |
|
|
|
|
|
|
|
|
|
8 |
|
|
|
|
|
|
|
|
8 |
|
|
|
|
|
|
|
|
8 |
+ |
= |
|
occurs |
x |
3 |
= |
|
2+4 |
|
|
|
|
|
|
|
|
|
|
9 |
|
|
|
|
|
|
|
|
9 |
- |
- |
- |
- |
- |
- |
- |
- |
+ |
= |
|
occurs |
x |
2 |
= |
|
1+8 |
|
26 |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4+5 |
|
|
2+6 |
|
1+2+6 |
|
5+4 |
26 |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
|
|
|
|
|
|
|
|
|
26 |
|
|
|
|
|
|
|
|
I |
|
|
|
|
|
|
|
|
R |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
..
|
|
|
|
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
25 |
|
|
|
61 |
25 |
25 |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
1 |
|
23 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
|
|
32 |
|
|
|
77 |
32 |
32 |
|
|
|
|
|
10 |
12 |
7 |
|
12 |
- |
- |
- |
- |
|
ATOMIC POWER |
- |
- |
- |
|
|
|
|
|
1+0 |
1+2 |
|
|
1+2 |
A |
= |
1 |
- |
6 |
|
61 |
25 |
|
|
|
|
|
|
|
|
|
|
|
P |
= |
7 |
- |
5 |
|
77 |
32 |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+1 |
- |
1+3+8 |
5+7 |
1+2 |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
1+2 |
1+2 |
- |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
SUN EARTH MOON |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
8 |
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
8 |
|
|
|
|
7 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
1 |
|
23 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
|
|
- |
- |
- |
|
- |
- |
- |
|
|
|
|
|
10 |
12 |
7 |
|
18 |
- |
- |
- |
- |
|
ATOMIC POWER |
- |
- |
- |
|
|
|
|
|
1+0 |
1+2 |
|
|
1+8 |
A |
= |
1 |
- |
6 |
|
61 |
25 |
|
|
|
|
|
|
|
|
|
|
|
P |
= |
7 |
- |
5 |
|
77 |
32 |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+1 |
- |
1+3+8 |
5+7 |
1+2 |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
1+2 |
1+2 |
- |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
|
|
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
8 |
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
8 |
|
|
|
|
9 |
1 |
|
23 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
16 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
|
|
|
11 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
|
|
- |
- |
- |
|
- |
- |
- |
|
|
|
|
|
10 |
12 |
7 |
|
18 |
- |
- |
- |
- |
|
ATOMIC POWER |
- |
- |
- |
|
|
|
|
|
1+0 |
1+2 |
|
|
1+8 |
A |
= |
1 |
- |
6 |
|
61 |
25 |
|
|
|
|
|
|
|
|
|
|
|
P |
= |
7 |
- |
5 |
|
77 |
32 |
|
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+1 |
- |
1+3+8 |
5+7 |
1+2 |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
1+2 |
1+2 |
- |
|
|
|
|
|
|
|
|
|
|
- |
- |
|
- |
|
ATOMIC POWER |
|
|
|
|
|
|
|
|
|
|
|
|
|
ATOMIC ENERGY
- |
- |
- |
- |
- |
ATOMIC ENERGY |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGY |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ATOMIC |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
25 |
|
|
|
61 |
25 |
25 |
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ENERGY |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
E |
|
|
7 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
N |
|
|
8 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
E |
|
|
9 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
R |
= |
9 |
10 |
1 |
R |
18 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
G |
|
|
11 |
1 |
G |
7 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
Y |
= |
7 |
12 |
1 |
Y |
25 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
- |
|
38 |
|
- |
ENERGY |
74 |
38 |
38 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC ENERGY |
- |
- |
- |
- |
|
|
|
|
1+5 |
|
1+4 |
|
1+8 |
A |
= |
1 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGY |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
1+3+5 |
6+3 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC ENERGY |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGY |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
E |
|
|
7 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
N |
|
|
8 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
E |
|
|
9 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
R |
= |
9 |
10 |
1 |
R |
18 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
G |
|
|
11 |
1 |
G |
7 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
Y |
= |
7 |
12 |
1 |
Y |
25 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC ENERGY |
- |
- |
- |
- |
|
|
|
|
1+5 |
|
1+4 |
|
1+8 |
A |
= |
1 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGY |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
1+3+5 |
6+3 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC ENERGY |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGY |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
E |
|
|
7 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
N |
|
|
8 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
E |
|
|
9 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
R |
= |
9 |
10 |
1 |
R |
18 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
G |
|
|
11 |
1 |
G |
7 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
Y |
= |
7 |
12 |
1 |
Y |
25 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC ENERGY |
- |
- |
- |
- |
|
|
|
|
1+5 |
|
1+4 |
|
1+8 |
A |
= |
1 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGY |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
1+3+5 |
6+3 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC ENERGY |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGY |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
|
|
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
|
|
E |
|
|
7 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
N |
|
|
8 |
1 |
N |
14 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
E |
|
|
9 |
1 |
E |
5 |
5 |
5 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
G |
|
|
11 |
1 |
G |
7 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
Y |
= |
7 |
12 |
1 |
Y |
25 |
7 |
7 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
R |
= |
9 |
10 |
1 |
R |
18 |
9 |
9 |
- |
|
|
|
|
|
|
|
|
9 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC ENERGY |
- |
- |
- |
- |
|
|
|
|
1+5 |
|
1+4 |
|
1+8 |
A |
= |
1 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
ENERGY |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
1+3+5 |
6+3 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
LETTERS REARRANGED NUMERICALLY
ATOMIC NUMBERS
- |
- |
- |
- |
- |
ATOMIC NUMBERS |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
NUMBERS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
- |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ATOMIC |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
25 |
|
|
|
61 |
25 |
25 |
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
Q |
NUMBERS |
- |
Q |
Q |
|
|
|
|
|
|
|
|
|
|
N |
= |
5 |
7 |
1 |
N |
14 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
U |
= |
3 |
8 |
1 |
U |
21 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
9 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
|
|
B |
= |
2 |
10 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
E |
= |
5 |
11 |
1 |
E |
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
R |
= |
9 |
12 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
|
|
|
S |
= |
1 |
13 |
1 |
S |
19 |
10 |
1 |
|
|
|
|
|
|
|
|
|
|
- |
- |
29 |
- |
7 |
|
92 |
38 |
29 |
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC NUMBERS |
- |
- |
- |
- |
|
|
|
|
1+0 |
|
|
|
1+8 |
A |
= |
1 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
NUMBERS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
1+3+5 |
6+3 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC NUMBERS |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
NUMBERS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
- |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ATOMIC |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
7 |
8 |
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
N |
= |
5 |
7 |
1 |
N |
14 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
U |
= |
3 |
8 |
1 |
U |
21 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
9 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
|
|
B |
= |
2 |
10 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
E |
= |
5 |
11 |
1 |
E |
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
R |
= |
9 |
12 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
7 |
8 |
|
S |
= |
1 |
13 |
1 |
S |
19 |
10 |
1 |
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC NUMBERS |
- |
- |
- |
- |
|
|
|
|
1+0 |
|
|
|
1+8 |
A |
= |
1 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
NUMBERS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
1+3+5 |
6+3 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
LETTERS REARRANGED NUMERICALLY
- |
- |
- |
- |
- |
ATOMIC NUMBERS |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
K |
= |
2 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
NUMBERS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
|
|
- |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ATOMIC |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
|
|
S |
= |
1 |
13 |
1 |
S |
19 |
10 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
|
|
B |
= |
2 |
10 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
U |
= |
3 |
8 |
1 |
U |
21 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
7 |
8 |
|
M |
= |
4 |
9 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
|
|
N |
= |
5 |
7 |
1 |
N |
14 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
E |
= |
5 |
11 |
1 |
E |
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
|
|
9 |
R |
= |
9 |
12 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
7 |
8 |
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC NUMBERS |
- |
- |
- |
- |
|
|
|
|
1+0 |
|
|
|
1+8 |
A |
= |
1 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
E |
= |
5 |
|
|
NUMBERS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
1+3+5 |
6+3 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC NUMBERS |
- |
- |
- |
- |
|
|
|
|
|
|
|
K |
= |
2 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
E |
= |
5 |
|
|
NUMBERS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
7 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
- |
- |
- |
|
|
- |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
|
|
ATOMIC |
- |
- |
|
- |
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
1 |
1 |
|
|
1 |
|
|
|
|
|
|
S |
= |
1 |
13 |
1 |
S |
19 |
10 |
1 |
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
20 |
2 |
|
|
|
2 |
|
|
|
|
|
B |
= |
2 |
10 |
1 |
B |
2 |
2 |
2 |
|
|
|
|
|
|
|
|
C |
= |
3 |
6 |
1 |
C |
3 |
3 |
3 |
|
|
|
|
|
|
|
|
U |
= |
3 |
8 |
1 |
U |
21 |
3 |
3 |
|
|
|
|
|
|
|
|
M |
= |
4 |
4 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
M |
= |
4 |
9 |
1 |
M |
13 |
4 |
4 |
|
|
|
|
|
|
|
|
N |
= |
5 |
7 |
1 |
N |
14 |
5 |
5 |
|
|
|
|
|
|
|
|
E |
= |
5 |
11 |
1 |
E |
5 |
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
18 |
9 |
|
|
|
|
|
|
|
|
9 |
R |
= |
9 |
12 |
1 |
R |
18 |
9 |
9 |
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
ATOMIC NUMBERS |
- |
- |
- |
- |
|
|
|
|
1+0 |
|
1+8 |
A |
= |
1 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
E |
= |
5 |
|
|
NUMBERS |
|
|
|
- |
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
- |
- |
- |
- |
1+5 |
- |
1+3+5 |
6+3 |
- |
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
|
|
|
- |
|
|
|
|
|
|
|
T |
= |
2 |
- |
3 |
THE |
33 |
15 |
6 |
G |
= |
7 |
- |
3 |
GOD |
26 |
26 |
8 |
P |
= |
7 |
- |
8 |
PARTICLE |
84 |
39 |
3 |
|
|
|
- |
|
Add to Reduce |
|
|
|
|
|
1+6 |
- |
1+4 |
Reduce to Deduce |
1+4+3 |
8+0 |
1+7 |
|
|
|
- |
|
Essence of Number |
|
|
|
T |
= |
2 |
- |
3 |
THE |
33 |
15 |
6 |
G |
= |
7 |
- |
3 |
GOD |
26 |
26 |
8 |
P |
= |
7 |
- |
9 |
PARTICLES |
103 |
40 |
4 |
|
|
|
- |
|
Add to Reduce |
|
|
|
|
|
1+6 |
- |
1+5 |
Reduce to Deduce |
1+6+2 |
8+1 |
1+8 |
|
|
|
- |
|
Essence of Number |
|
|
|
Higgs boson - Wikipedia
https://en.wikipedia.org/wiki/Higgs_boson
The Higgs boson is an elementary particle in the Standard Model of particle physics. First suspected to exist in the 1960s, it is the quantum excitation of the Higgs field, a fundamental field of crucial importance to particle physics theory. Unlike other known fields such as the electromagnetic field, it has a non-zero constant ...
Higgs boson
Subatomic particle
The Higgs boson is an elementary particle in the Standard Model of particle physics. First suspected to exist in the 1960s, it is the quantum excitation of the Higgs field, a fundamental field of crucial importance to particle physics theory. Wikipedia
Composition: Elementary particle
Classification: Boson
Symbol: H°
Mass: 125.09±0.21 (stat.)±0.11 (syst.) GeV/c² (CMS+ATLAS)
Electric charge: 0 e
Discovered: Large Hadron Collider (2011–2013)
Mean lifetime: 1.56×10-22 s (predicted)
T |
= |
2 |
- |
3 |
THE |
33 |
15 |
6 |
H |
= |
8 |
- |
5 |
HIGGS |
50 |
41 |
5 |
B |
= |
2 |
- |
5 |
BOSON |
65 |
29 |
2 |
|
|
|
- |
|
First Total |
|
|
|
|
|
1+2 |
- |
1+3 |
Add to Reduce |
1+4+8 |
8+5 |
1+3 |
|
|
|
- |
|
Second Total |
|
|
|
|
|
|
|
- |
Reduce to Deduce |
1+3 |
1+3 |
|
|
|
|
- |
|
Essence of Number |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
|
3 |
|
33 |
15 |
15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
32 |
|
5 |
|
50 |
41 |
32 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
1 |
|
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
20 |
|
5 |
|
65 |
29 |
20 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6+7 |
|
1+3 |
|
1+4+8 |
8+5 |
6+7 |
|
|
|
|
|
1+0 |
1+2 |
1+4 |
1+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+3 |
|
|
|
1+3 |
1+3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
1 |
|
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6+7 |
|
1+3 |
|
1+4+8 |
8+5 |
6+7 |
|
|
|
|
|
1+0 |
1+2 |
1+4 |
1+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+3 |
|
|
|
1+3 |
1+3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
1 |
|
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6+7 |
|
1+3 |
|
1+4+8 |
8+5 |
6+7 |
|
|
|
|
|
1+0 |
1+2 |
1+4 |
1+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+3 |
|
|
|
1+3 |
1+3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
LETTERS RE-ARRANGED IN NUMERICAL ORDER
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
11 |
1 |
|
19 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1 |
|
20 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
9 |
1 |
|
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
|
5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
13 |
1 |
|
14 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
10 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
12 |
1 |
|
15 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
|
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
4 |
1 |
|
8 |
8 |
|
|
|
|
|
|
|
|
|
|
|
|
5 |
1 |
|
9 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6+7 |
|
1+3 |
|
1+4+8 |
8+5 |
6+7 |
|
|
|
1+0 |
1+2 |
1+4 |
1+6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1+3 |
|
|
|
1+3 |
1+3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
H |
= |
8 |
- |
5 |
HIGGS |
50 |
32 |
5 |
B |
= |
2 |
- |
5 |
BOSON |
65 |
20 |
2 |
P |
= |
7 |
- |
8 |
PARTICLE |
84 |
39 |
3 |
|
|
|
- |
|
First Total |
|
|
|
|
|
1+7 |
- |
1+8 |
Add to Reduce |
1+9+9 |
9+1 |
1+0 |
|
|
|
- |
|
Second Total |
|
|
|
|
|
|
- |
1+8 |
Reduce to Deduce |
1+0 |
1+0 |
|
|
|
|
- |
|
Essence of Number |
|
|
|
BREATHE ON ME BREATH OF GOD
HOLY BIBLE
Scofield References
Page 7
GENESIS
C 2 V 7
And the LORD God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
OXYGEN |
- |
- |
- |
|
|
|
|
|
|
|
|
|
|
O |
= |
6 |
- |
1 |
O |
15 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
X |
= |
6 |
- |
1 |
X |
24 |
6 |
6 |
|
|
|
|
|
|
|
|
|
|
Y |
= |
|
|
|
Y |
|
|
|
|
|
|
|
|
|
|
|
|
|
G |
= |
|
|
|
G |
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
= |
|
- |
|
E |
|
|
|
|
|
|
|
|
|
|
|
|
|
N |
= |
|
- |
|
N |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
3+6 |
- |
- |
- |
9+0 |
3+6 |
3+6 |
|
|
|
|
|
1+0 |
1+2 |
1+4 |
|
|
|
|
9 |
|
6 |
|
|
9 |
9 |
|
|
|
|
|
1 |
3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
OXYGEN |
- |
- |
- |
|
|
|
|
O |
= |
6 |
- |
1 |
O |
15 |
6 |
6 |
|
|
|
|
X |
= |
6 |
- |
1 |
X |
24 |
6 |
6 |
|
|
|
|
Y |
= |
|
|
|
Y |
|
|
|
|
|
|
|
G |
= |
|
|
|
G |
|
|
|
|
|
|
|
E |
= |
|
- |
|
E |
|
|
|
|
|
|
|
N |
= |
|
- |
|
N |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
3+6 |
- |
- |
- |
9+0 |
3+6 |
3+6 |
|
1+0 |
1+2 |
1+4 |
|
|
9 |
|
6 |
|
|
9 |
9 |
|
1 |
3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
- |
- |
- |
OXYGEN |
- |
- |
- |
|
|
|
|
E |
= |
|
- |
|
E |
|
|
|
|
|
|
|
N |
= |
|
- |
|
N |
|
|
|
|
|
|
|
O |
= |
6 |
- |
1 |
O |
15 |
6 |
6 |
|
|
|
|
X |
= |
6 |
- |
1 |
X |
24 |
6 |
6 |
|
|
|
|
Y |
= |
|
|
|
Y |
|
|
|
|
|
|
|
G |
= |
|
|
|
G |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
- |
- |
3+6 |
- |
- |
- |
9+0 |
3+6 |
3+6 |
|
1+0 |
1+2 |
1+4 |
|
|
9 |
|
6 |
|
|
9 |
9 |
|
1 |
3 |
5 |
E |
= |
5 |
- |
- |
ENERGIES |
- |
- |
- |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
N |
14 |
5 |
5 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
R |
18 |
9 |
9 |
- |
- |
- |
- |
1 |
G |
7 |
7 |
7 |
- |
- |
- |
- |
1 |
I |
9 |
9 |
9 |
- |
- |
- |
- |
1 |
E |
5 |
5 |
5 |
- |
- |
- |
- |
1 |
S |
19 |
10 |
1 |
E |
= |
5 |
|
|
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
- |
8+2 |
5+5 |
4+6 |
E |
= |
5 |
|
8 |
ENERGIES |
|
|
|
- |
- |
- |
- |
- |
- |
1+0 |
1+0 |
1+0 |
E |
= |
5 |
|
8 |
ENERGIES |
|
|
|
THE SCULPTURE OF VIBRATIONS 1971
......