Ejecuta cualquier Skill en Manus
con un clic

Ejecuta cualquier Skill en Manus con un clic

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.

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Resumen

Comando de instalación

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

Copia y pega este comando en Claude Code para instalar la habilidad

Fuente

zhiping0913/physics_skills

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Actualizado28 de mayo de 2026, 23:45

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SKILL.md

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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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Fuente

zhiping0913

zhiping0913/physics_skills

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Comando de instalación

Descarga

Ejecutar en Manus

Útil paraSOC

FísicosCiencias de la vida, físicas y sociales19-2012L4

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.