s515.py

from research import *
s=begin(515,'Shem’s partition is one affine family','How do the10000+6000 and held-Creation Shem presentations fit together?',{'Creation':14726,'inverse_Shem':5526,'Nativity':6},['File52c §§3.6,3.8.2'])
parts=[14726-5526,5526-6];scaled=[E*x for x in parts];nat=[6+E*(x-6) for x in [14726,5526,6]]
finish(s,{'original_parts':parts,'expanded_parts':scaled,'Nativity_held_triple':nat,'Creation_held_Shem':14726-scaled[0],'partition_ratio':F(parts[0],parts[1])},
 'The9200+5520 split becomes10000+6000 under one Nativity-held dilation. Holding14726 instead places Shem at4726. The two Shem results differ1280 by the anchor-change law; they are related presentations, not independent outcomes.',
 'Apply the same whole-family reasoning to the Mahalalel–Shelah–Eber trio.',{'sum':sum(parts)==14720 and sum(scaled)==16000,'partition':scaled==[10000,6000],'triple':nat==[16006,6006,6],'ratio':F(parts[0],parts[1])==F(5,3)})