Current task: —

E-029 — convexity proof verification: sympy table match, psi_i<0, margin-tilde convex, N0_tilde=75621, margin~(8e4)=16020>0

08-19-2026 · 19991 rows · script research/numerics/scripts/E-029-convexity.py

Metadata

Validation checks

V1_sympy_matches_hand FAIL
V2_psi_negative PASS
V3_margin_tilde_convex_positive PASS
V4_I1_second_derivative PASS
V5_majorant PASS
table PASS

Key values

N0_tilde75621
margin_tilde_8e416020.1971966516
margin_tilde_prime_8e43.6877762759686448
max_2n_B4d20.18932637317273204

Chart

Data preview (20000 rows total)

nmargin_tilde
20-100804.107776
40-107150.869677
60-111280.476592
80-114398.029272
100-116923.860259
120-119057.723078
140-120911.238244
160-122553.482109
180-124030.341414
200-125373.934163
220-126607.664420
240-127749.140935
260-128811.962018
280-129806.858820
300-130742.456151
320-131625.795274
340-132462.703079
360-133258.059000
380-134015.992001
400-134740.028600
420-135433.205895
440-136098.159117
460-136737.190327
480-137352.322938
500-137945.345463