s1362.py

from research import *
s=begin(1362,"Write the technical row-grammar supplement","What is the exact support behind the compact source-change model?",{},["C1162–C1189","model/whole_genealogy_five_model.json"])
t=json.loads("\"# Technical companion: the common chronological construction\\n\\n## 1. Row changes and ordered measurement\\n\\nFor ordinary compatible rows, \\\\(R_d(b,r,L)=(b+d,r-d,L)\\\\) and \\\\(A_e(b,r,L)=(b,r+e,L+e)\\\\). Any compatible row difference has the unique parameters \\\\(d=\\\\Delta b,e=\\\\Delta L\\\\). These algebraic operations commute on unrestricted triples. When nonnegative ages or source-selected states are required, each intermediate row must also be admissible.\\n\\nThe nineteen matched MT/LXX rows have the following nonzero supports:\\n\\n| Source change | Rows | Amplitude |\\n|---|---|---:|\\n| Begetting change | Adam, Seth, Enosh, Kenan, Mahalalel, Enoch; Arphaxad, Shelah, Eber, Peleg, Reu, Serug | \\\\(u=100\\\\) |\\n| Begetting change | Nahor | \\\\(u/2=50\\\\) |\\n| Lifespan change | Lamech | \\\\(\\\\lambda=-24\\\\) |\\n| Lifespan change | Arphaxad, Shelah | \\\\(a=27\\\\) |\\n| Lifespan change | Eber | \\\\(e=40\\\\) |\\n| Lifespan change | Peleg, Reu, Serug | \\\\(u=100\\\\) |\\n| Lifespan change | Nahor | \\\\(n=60\\\\) |\\n\\nThe 38-output change matrix has rank five. Imposing the fitted relation \\\\(e+n=u\\\\) reduces the parameter count to four; neither description claims to generate the baseline source rows. The matched head measurements are\\n\\n\\\\[\\n\\\\Delta_{\\\\rm Reg}=12.5u,\\\\qquad\\n\\\\Delta_{\\\\rm Cum}=3u+\\\\lambda+2a+e+n.\\n\\\\]\\n\\nAt the source values these are 1250 and 430. Native Cainan contributes a labelled insertion with measures 130 and 460.\\n\\nLet \\\\(U\\\\) be the suffix-sum matrix for a fixed ordered path. With common terminal, \\\\(X'-X=U(w'-w)\\\\); with changed terminal, add its difference to each boundary. Adjacent differences recover the weights. Thus the complete field retains location, while its head alone cannot recover the distribution.\\n\\nSource/proof route: complete source-row packet; whole-genealogy five-amplitude matrix; C1162–C1189; Regular staircase C1253–C1264.\\n\"")
a=artifact("draft/technical_01_rows.md",t)
finish(s,{'artifact':a,'words':len(t.split())},"The companion exposes the actual nonzero supports and precise rank claim behind the main row explanation.","Write the exact Rounded residual and fibre supplement.",{'nonempty':len(t)>100,'source_rank':json.loads((ROOT/'model/whole_genealogy_five_model.json').read_text())['rank']==5})