Current task: —

E-023 — finite-height assembly (M0 short-segment, Sinf lower-bound validation, margin/N0/N1)

08-19-2026 · 20000 rows · script research/numerics/scripts/E-023-finite-height-assembly.py

Metadata

Validation checks

V1_sinf_lower_holds PASS
V2_margin_positive_convex PASS
V3_lambda_positive_3000 PASS

Key values

M0_grid_max1.3323650421270834
M0_lipschitz1.4075796709577815
M0_use1.335180201468999
C1-1.1303307007539063
C1_lower_form-1.4189385332046727
sinf_lower_min_slack9.520071987843544
N0_measured_constants30217
N0_traced_constants32871
margin_N0_traced0.0795673057436943
margin_at{'32871': 0.0795673057436943, '100000': 287298.63095573196, '1000000': 5256686.503113639, '1000000000': 8938721534.500193, '1000000000000': 12396419838890.791, '1000000000000000000': 1.9304327085473796e+19, '8999999999994000000000001': 2.457962538414764e+26}
N18999999999994000000000001
N1_conservative_lagarias_window2725978018024122000000
T0_platt_trudgian3000000000000.0

Chart

Data preview (20000 rows total)

nmargin_tracedmargin_measured
20-45875.893723-43305.210843
40-51169.702466-48378.454440
60-54411.288377-51473.452785
80-56768.367148-53718.072885
100-58625.758870-55483.102057
120-60160.142614-56938.507754
140-61467.830010-58176.832729
160-62607.286685-59254.200835
180-63616.745562-60207.284034
200-64522.615724-61061.395554
220-65343.922912-61834.760456
240-66094.839059-62540.946810
260-66786.211248-63190.334332
280-67426.531022-63791.044989
300-68022.573532-64349.556338
320-68579.833103-64871.119317
340-69102.828502-65360.050946
360-69595.322130-65819.944422
380-70060.480758-66253.823115
400-70500.995596-66664.255591
420-70919.173477-67053.442913
440-71317.007122-67423.285910
460-71696.230004-67775.437682
480-72058.359701-68111.345075
500-72404.732519-68432.281807