Datasets:
Modalities:
Text
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json
Languages:
English
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Tags:
mathematics
mathematical-physics
materials-science
homogenization
g-closure
two-phase-conductivity
| { | |
| "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", | |
| "entries": [ | |
| { | |
| "id": "P01", | |
| "family": "Pure phases", | |
| "realization": "exact cell", | |
| "scope": "F=1 or z; included at endpoint fractions" | |
| }, | |
| { | |
| "id": "P02", | |
| "family": "Lower/upper coated spheres", | |
| "realization": "physical hierarchy closure", | |
| "scope": "explicit three-axis pure-host and complemented construction checked" | |
| }, | |
| { | |
| "id": "P03", | |
| "family": "Shared-axis rank-two chart", | |
| "realization": "physical hierarchy closure", | |
| "scope": "exact diagonal laminate algebra and tensor isotropization" | |
| }, | |
| { | |
| "id": "P04", | |
| "family": "LB1 half fraction", | |
| "realization": "physical hierarchy closure", | |
| "scope": "anisotropic precursor and trace identity; no premature scalarization" | |
| }, | |
| { | |
| "id": "P05", | |
| "family": "Cantor programmable chart", | |
| "realization": "infinite-support physical closure", | |
| "scope": "positive reflection-symmetric approximants; finite moment tests not infinite localizer evaluation" | |
| }, | |
| { | |
| "id": "P06", | |
| "family": "Centered cube inclusion", | |
| "realization": "exact cubic binary cell", | |
| "scope": "volume and symmetry proved; no fitted rational continuum identity claimed" | |
| }, | |
| { | |
| "id": "P07", | |
| "family": "Rank-escape tensor", | |
| "realization": "physical tensor hierarchy closure", | |
| "scope": "not exact-periodic; anisotropic, itself laminated" | |
| } | |
| ] | |
| } | |