s509.py

from research import *
s=begin(509,'Anchor-change and composition laws','Which affine relations explain a change of anchor without choosing a new ratio?',{'E':E,'anchors':[14726,6],'sample_inverse_Shem':5526},['Strategy §5C','File52c §3.11'])
D=lambda a,x:a+E*(x-a)
finish(s,{'difference_law':'D_k,a(x)-D_k,b(x)=(1-k)(a-b)','conjugacy':'T_t D_k,a = D_k,a+t T_t','same_anchor_composition':'D_l,a D_k,a = D_lk,a','different_anchor_order':'D_l,b D_k,a − D_k,a D_l,b = (1-l)(1-k)(b-a)','Shem_Creation_held':D(14726,5526),'Shem_Nativity_held':D(6,5526),'Nativity_minus_Creation':D(6,5526)-D(14726,5526)},
 'Changing only the anchor shifts every output by the same amount. The14726 versus6 E-presentations differ1280 throughout. Same-anchor ratios compose multiplicatively; different anchors generally make order matter.',
 'Keep this affine geometry distinct from the two coordinate conventions used by Mirror comparisons.',{'shift':D(6,5526)-D(14726,5526)==1280,'Shem':D(14726,5526)==4726 and D(6,5526)==6006})