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Tags:
mathematics
mathematical-physics
materials-science
homogenization
g-closure
two-phase-conductivity
File size: 2,276 Bytes
1bacf7c | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 | digraph Audit {
rankdir=LR;
T01 [label="T01: Physical compression, spectral representation and binary deficit"];
T02 [label="T02: Joint mean-and-moment topology and compactness"];
T01 -> T02;
T03 [label="T03: Geometry-uniform response continuity"];
T01 -> T03;
T04 [label="T04: Exact-fraction cubic whole-function density"];
T01 -> T04;
T02 -> T04;
T03 -> T04;
T05 [label="T05: Positive cubic Bernstein template density and exact operator polynomials"];
T01 -> T05;
T06 [label="T06: Exact fraction-constrained bathtub rounding"];
T07 [label="T07: Sharp variable-fraction mean/deficit rounding envelope"];
T06 -> T07;
T08 [label="T08: Abstract calibrated closure distance and sharp universal factor"];
T09 [label="T09: Explicit full-cube reference-localizer convergence"];
T10 [label="T10: Response-only calibrated physical-distance hierarchy"];
T01 -> T10;
T02 -> T10;
T03 -> T10;
T04 -> T10;
T05 -> T10;
T06 -> T10;
T08 -> T10;
T09 -> T10;
T11 [label="T11: Single running hierarchy for exact squared physical distance"];
T10 -> T11;
T12 [label="T12: Finite complex observations without latent spectral extension"];
T03 -> T12;
T05 -> T12;
T09 -> T12;
T10 -> T12;
T13 [label="T13: Finite strict approximation certificates and binary extraction"];
T06 -> T13;
T09 -> T13;
T10 -> T13;
T11 -> T13;
T14 [label="T14: Convex contact dual without convexifying physical attainability"];
T10 -> T14;
T15 [label="T15: Noise, fraction continuity and bounded-data uniform penalty limit"];
T03 -> T15;
T08 -> T15;
T10 -> T15;
T16 [label="T16: Finite-information separation of nonphysical analytic candidates"];
T02 -> T16;
T04 -> T16;
T17 [label="T17: Universal unit-circle inequality and exact midpoint rejection"];
T01 -> T17;
T02 -> T17;
T18 [label="T18: Rank-escape and measurable high-frequency tail obstruction"];
T01 -> T18;
T02 -> T18;
T03 -> T18;
T06 -> T18;
T19 [label="T19: Independent boundary-compatible finite-certificate route"];
T01 -> T19;
T02 -> T19;
T20 [label="T20: Failure of automatic stationary/GNS spatial completion"];
T21 [label="T21: Independent finite symbolic and physical regression checks"];
T01 -> T21;
T03 -> T21;
T05 -> T21;
T07 -> T21;
T09 -> T21;
T11 -> T21;
T17 -> T21;
T18 -> T21;
}
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