from research import *
s=begin(674,'Unify the micro Key outputs','How do35,37.5 and40 relate to the source’s34.5 input?',{'source_scalar':F(69,2),'normalization_residual':F(5,2)},['Supplement A §§4.1,4.3'])
u=F(69,2); p=P*u; e=E*u; normalized=e+F(5,2)
finish(s,{'P_output':p,'E_output':e,'output_gap':e-p,'normalized':normalized,'affine_continuation':2*e-p},'The normalization residual2.5 equals the gap between E and P outputs. The source-defined40 therefore equals2E(34.5)−P(34.5). This compresses the two-stage calculation without promoting it to a new universal Key.','Relate the scalar completion to the whole before/after phase envelopes.',{'keys':[p,e]==[35,F(75,2)],'residual':e-p==F(5,2),'completion':normalized==2*e-p==40})