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mathematics-theorems

Repository of mathematical theorems referenced by LandauGraph reasoning nodes. Stores complete proofs for results that are asserted but not derived in templates: Bertrand's theorem, Liouville-Arnold theorem, distribution identities, Airy asymptotics, and other mathematical infrastructure required for full derivations.

Manus에서 실행

개요

설치 명령

npx skills add https://github.com/zhiping0913/physics_skills --skill mathematics-theorems

이 명령을 Claude Code에 복사하여 붙여넣어 스킬을 설치하세요

출처

zhiping0913/physics_skills

스타0

포크0

업데이트2026년 5월 28일 23:45

파일 탐색기

3 개 파일

SKILL.md

readonly

name	mathematics-theorems
description	Repository of mathematical theorems referenced by LandauGraph reasoning nodes. Stores complete proofs for results that are asserted but not derived in templates: Bertrand's theorem, Liouville-Arnold theorem, distribution identities, Airy asymptotics, and other mathematical infrastructure required for full derivations.

Mathematics Theorems Repository

Complete proofs for mathematical theorems that LandauGraph reasoning nodes assert but do not derive. Agents load these when encountering "this is a theorem" statements in reasoning templates.

How to Use

When a reasoning node says "this is a theorem — the proof requires...", load the corresponding reference file. Proofs are mathematical, not physical.

Index

Theorem	Used in	File
Bertrand's theorem	`conservation_to_effective_reduction` (V1)	`bertrand-theorem.md`
Liouville-Arnold theorem	`separation_of_variables` (V1)	`liouville-arnold.md`
Distribution limit sin²(αt)/α²→δ(α)	`quantum_perturbation_theory` (V3)	`distribution-limits.md`
Airy function asymptotics	`wkb_quasiclassical` (V3)	`airy-asymptotics.md`
4D δ-function with Jacobian	`retarded_green_function` (V2)	`delta-function-4d.md`

Maintenance

Add new entries when a reasoning node asserts a non-trivial mathematical result or when agents consistently get stuck on a mathematical step.

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출처

zhiping0913

zhiping0913/physics_skills

GitHub 저장소 열기 Creator 저장소 보기

설치 명령

다운로드

Manus에서 실행

유용한 대상SOC

물리학자생명, 물리, 사회과학직19-2012L4

name	mathematics-theorems
description	Repository of mathematical theorems referenced by LandauGraph reasoning nodes. Stores complete proofs for results that are asserted but not derived in templates: Bertrand's theorem, Liouville-Arnold theorem, distribution identities, Airy asymptotics, and other mathematical infrastructure required for full derivations.

Mathematics Theorems Repository

Complete proofs for mathematical theorems that LandauGraph reasoning nodes assert but do not derive. Agents load these when encountering "this is a theorem" statements in reasoning templates.

How to Use

When a reasoning node says "this is a theorem — the proof requires...", load the corresponding reference file. Proofs are mathematical, not physical.

Index

Theorem	Used in	File
Bertrand's theorem	`conservation_to_effective_reduction` (V1)	`bertrand-theorem.md`
Liouville-Arnold theorem	`separation_of_variables` (V1)	`liouville-arnold.md`
Distribution limit sin²(αt)/α²→δ(α)	`quantum_perturbation_theory` (V3)	`distribution-limits.md`
Airy function asymptotics	`wkb_quasiclassical` (V3)	`airy-asymptotics.md`
4D δ-function with Jacobian	`retarded_green_function` (V2)	`delta-function-4d.md`

Maintenance

Add new entries when a reasoning node asserts a non-trivial mathematical result or when agents consistently get stuck on a mathematical step.