## Torah puzzle | ## Sons of Haman | ## (part 2) | ## New claims |
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In our previous report ("Sons of Haman", part 1) we have found that the names of the sons of Haman along with the title "Sons of Haman" (BNYHMN) group around a central expression

on the thirteenth of Adar (is) Purim | YGB)DRPWRYM |

which seems to be a kind of an "informational axis". Here we study the measure of closeness to this "axis" of basic data taken from the Book of Esther.

1. The Book of Esther indicates explicitly the place of the
death of the ten sons of Haman immediately before (ch.9, v.6)
and after (ch.9, v.11) the list of the names: "in Shushan"

2. The date of the event is also explicitly stated (ch. 9, v.1): in the twelfth month that is the month Adar, on the thirteenth day of the same. As before we use 4 forms of the date:

the thirteenth of Adar | YG)DR |

on the thirteenth of Adar | BYG)DR |

the thirteenth of Adar | YGB)DR |

on the thirteenth of Adar | BYGB)DR |

3. The word "Purim" is the general heading of the whole subject; besides, it is indicated in the "axis" itself. In the Book of Esther we find it in three forms:

Purim | (ch.9, v.26) | PWRYM |

the Purim | (ch.9, v.28) | HPWRYM |

the Purim | (ch.9, v.29) | HPRYM |

For all this data the values of *c*(*w,w'*) with
the "axis" are

in Shushan | B$W$N | 0.080 | |

the capital | HBYRH | 0.080 | |

the thirteenth of Adar | YG)DR | 0.016 | Group 1 |

on the thirteenth of Adar | BYG)DR | 0.008 | |

the thirteenth of Adar | YGB)DR | 0.648 | Group 2 |

on the thirteenth of Adar | BYGB)DR | 0.523 | |

Purim | PWRYM | 0.072 | Group 3 |

the Purim | HPWRYM | 0.032 | |

the Purim | HPRYM | 0.848 |

To avoid the problem of dependence between two expressions in each group we decided to delete the "best" member from each group and to preserve only the "worst" one (the delicate dependence problem needs special discussion). Here is the whole picture for the axis "on the thirteenth of Adar (is) Purim".

the Purim | HPRYM | 0.848 |

Purim | PWRYM | 0.072 |

Sons of Haman | BNYHMN | 0.040 |

Parshandata | PR$NDT) | --- |

Dalfon | DLPWN | 0.040 |

Aspata | )SPT) | 0.512 |

Porata | PWRT) | 0.808 |

Adalya | )DLY) | 0.376 |

Aridata | )RYDT) | 0.064 |

Parmashta | PRM$T) | 0.088 |

Arisay | )RYSY | 0.064 |

Ariday | )RYDY | 0.024 |

Vayzata | WYZT) | 0.792 |

in Shushan | B$W$N | 0.080 |

the capital | HBYRH | 0.080 |

the thirteenth of Adar | YG)DR | 0.016 |

the thirteenth of Adar | YGB)DR | 0.648 |

P1 = 0.000 25, P2 = 0.000 47 |

As in our previous paper the enlarging of the population sharpens the results:

D=2 | D=4 | D=6 | |

P1
| 0.000 25 | 0.000 25 | 0.000 25 |

P2
| 0.000 47 | 0.000 065 | 0.000 047 |

Note 1. Let *L* be the number of letters of the
word/expression. In [WRR94] only the case of *L* > 4 is
considered. In this case the last three letters are perturbed
with (*x,y,z*) where -3 < *x,y,z* < 3. In the case of
*L* = 4 , we perturb the last two letters with (*x,y*)
where -6 < x,y < 6.

Note 2. We also computed *c*(*w,w'*) for the list
of the sons of Haman with each expression "in Shushan"

in Shushan | the capital | |

Sons of Haman | 0.296 | 0.528 |

Parshandata | --- | --- |

Dalfon | 0.104 | 0.056 |

Aspata | 0.864 | 0.160 |

Porata | 0.440 | 0.096 |

Adalya | 0.184 | 0.344 |

Aridata | 0.800 | 0.592 |

Parmashta | 0.056 | 0.232 |

Arisay | 0.104 | 0.184 |

Ariday | 0.416 | 0.264 |

Vayzata | 0.768 | 0.312 |

P1 = 0.032, P2 = 0.056 |

Note 3. It is worth mentioning that the property of the
expression "on the thirteenth of Adar (is) Purim" to be an
"informational axis" remains when instead of the text of the
Book of Genesis, the whole text of Torah is taken. By the way,
in this case ELS's for Parshandata appear and our table becomes
complete. Here are the results of computing
*c*(*w,w'*) for the whole Torah text:

the Purim | HPRYM | 0.792 |

Purim | PWRYM | 0.160 |

Sons of Haman | BNYHMN | 0.008 |

Parshandata | PR$NDT) | 0.223 |

Dalfon | DLPWN | 0.480 |

Aspata | )SPT) | 0.632 |

Porata | PWRT) | 0.832 |

Adalya | )DLY) | 0.408 |

Aridata | )RYDT) | 0.032 |

Parmashta | PRM$T) | 0.088 |

Arisay | )RYSY | 0.056 |

Ariday | )RYDY | 0.024 |

Vayzata | WYZT) | 0.776 |

in Shushan | B$W$N | 0.176 |

the capital | HBYRH | 0.242 |

the thirteenth of Adar | YG)DR | 0.008 |

the thirteenth of Adar | YGB)DR | 0.177 |

P1 = 0.002 6, P2 = 0.000 7 |

[R1] A.Rotenberg. Sons of Haman, part 1 (available online).

[WRR94] D.Wiztum, E.Rips and Y.Rosenberg. Equidistant Letter Sequences in the Book of Genesis, Statistical Science, 1994, Vol.9, No.3, pp.429-438.

back to part 1 of "Sons of Haman" | back to New claims |