Torah puzzle
| Data 5
| Distance between two words
|
After five steps of the computation we get a file of the
following form:
[ 6 5 78064 ]
[ -2 -2 -2 2.377977e+05 ]
[ -2 -2 -1 3.450332e+05 ]
[ -2 -2 0 2.672815e+05 ]
[ -2 -2 1 3.251481e+05 ]
[ -2 -2 2 3.631359e+05 ]
[ -2 -1 -2 2.932057e+05 ]
[ -2 -1 -1 3.343902e+05 ]
[ -2 -1 0 3.825871e+05 ]
. . . . . .
[ 0 -1 1 1.506886e+05 ]
[ 0 -1 2 2.182433e+05 ]
[ 0 0 -2 8.859126e+04 ]
[ 0 0 -1 2.727624e+05 ]
[ 0 0 0 1.488219e+06 ]
[ 0 0 1 3.029864e+05 ]
[ 0 0 2 1.740315e+05 ]
[ 0 1 -2 3.922233e+05 ]
[ 0 1 -1 2.028654e+05 ]
. . . . . .
[ 2 2 -1 9.820894e+04 ]
[ 2 2 0 8.988155e+04 ]
[ 2 2 1 5.933152e+05 ]
[ 2 2 2 2.263009e+05 ]
The first line contains lengths of the two given words: 6
letters in "WHYQDC" (Zedekia) and 5 letters in "HYNTM"
(Matanya); the length of the Book follows. An empty line does
not matter. In the next line, the numbers -2, -2, -2 are
perturbation parameters, and the number 2.377977e+05 is the
measure of proximity between the words, computed by comparing
families of equally perturbed ELS's, as described in "Step 4-5".
The same for other combinations of perturbation parameters. The
meaning of the measure of proximity is explained in the paper
[WRR94] as follows. Very roughly, it measures the maximum
closeness of the more noteworthy appearances of the words as
ELS's in Genesis - the closer they are, the larger is the
measure of proximity.
The numbers are represented in the scientific notation:
2.377977e+05 means 2.377977 * 105 = 237,797.7 . They
are large numbers, which does not matter (they were not divided
by 78,064 but multiplied by 100, see "Step 4-5"). Note however
that unperturbed ELS's gave a larger number 1.488219e+06 =
1,488,219 than perturbed ELS's. It does not happen for another
word pair, "T$NBNB" (Benbenest) and "CYWWRWH" (Horowitz):
[ 6 7 78064 ]
[ -2 -2 -2 3.999276e+05 ]
[ -2 -2 -1 1.738662e+05 ]
[ -2 -2 0 1.983307e+05 ]
[ -2 -2 1 1.954354e+05 ]
[ -2 -2 2 1.052412e+05 ]
. . . . . .
[ 0 -1 2 2.705682e+05 ]
[ 0 0 -2 1.608428e+05 ]
[ 0 0 -1 1.305636e+05 ]
[ 0 0 0 2.663106e+05 ]
[ 0 0 1 3.414498e+05 ]
[ 0 0 2 3.872188e+05 ]
[ 0 1 -2 3.720906e+05 ]
. . . . . .
[ 2 2 -1 2.600480e+05 ]
[ 2 2 0 5.982911e+05 ]
[ 2 2 1 2.155395e+05 ]
[ 2 2 2 2.622825e+05 ]