s634.py

from research import *
s=begin(634,'Generate the full cross-rail matrix','Does one indexed formula account for all nine span comparisons?',{'head_difference':2366,'rail_step':7,'indices':[0,1,2]},['File70 §§6.3,6.5; derived completion of source geometry'])
M=[[2366+7*(j-i) for j in range(3)] for i in range(3)];flat=sum(M,[]);freq={x:flat.count(x) for x in sorted(set(flat))}
finish(s,{'span_matrix':M,'multiplicities':freq,'formula':'D(i,j)=2366+7(j−i)','source_selected_extremes':[2352,2366,2380]},'The complete matrix has five span values with multiplicities1,2,3,2,1. Minimum, corresponding and maximum spans are2366−14,2366,2366+14; the other entries are generated comparisons, not additional source appointments.','Explain the separate exposure span using its two thirteen-year flanks.',{'extremes':min(flat)==2352 and max(flat)==2380,'frequency':list(freq.values())==[1,2,3,2,1],'matrix_from_dates':M==[[a-b for b in [1885,1878,1871]] for a in [4251,4244,4237]]})