s569.py

from research import *
s=begin(569,'Derive the Prophetic allocation identity','Why does applying E to one sixth reproduce whole-span P?',{'E':E,'P':P},['File63 §1.3; algebraic generalization of C568'])
f=(P-1)/(E-1);coefficient=1-f+E*f
finish(s,{'required_fraction':f,'effective_factor':coefficient,'identity':'(5/6)S+E(S/6)=P S','483_selected_part':F(483,6)},'P is the total-span effect of allocating E to one sixth of a duration. The source supplies that partition for483; the identity alone does not authorize the partition at every chronological node.','Ask whether J has a parallel allocation fraction and an already sourced partition.',{'fraction':f==F(1,6),'identity':coefficient==P,'source_part':F(483,6)==F(161,2)})