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Skill

/math

Multi-layer cognitive stack for machine-verified mathematical problem solving across 14 sub-disciplines.

From plugin
vibecosystem
532200 skills138 agents7 hooks
Install
$ npx -y skills add vibeeval/vibecosystem --skill math --agent claude-code

How it fires

How this skill gets triggered: by you, by Claude, or both.

  • Fires itselfAuto-invocation. Claude auto-loads it when your prompt matches the work.Auto-invocation is when the right skill fires by itself at the right moment, driven by a FLOW.md router and a hook, instead of you invoking it by name. It is the difference between a skill being installed and a skill actually getting used.Read the full definition →
  • You can call itInvoke it directly when you want it.
  • Slash command/math

Context preview

The summary Claude sees to decide when to auto-load this skill.

Multi-layer cognitive stack for machine-verified mathematical problem solving across 14 sub-disciplines.

SKILL.md

math.SKILL.md
name: math
description: Multi-layer cognitive stack for machine-verified mathematical problem solving across 14 sub-disciplines.

Math Cognitive Stack

A structured collection of skills for mathematical reasoning, proof construction, and problem solving.

Sub-Skills

| Directory | Topic | |-----------|-------| | abstract-algebra | Groups, rings, fields, homomorphisms | | category-theory | Functors, natural transformations, adjoints | | complex-analysis | Holomorphic functions, contour integration | | functional-analysis | Banach/Hilbert spaces, operators | | graph-number-theory | Graph theory and number-theoretic results | | information-theory | Entropy, channel capacity, coding | | linear-algebra | Vector spaces, matrices, eigenvalues | | math-intuition-builder | Build intuition before formalization | | math-model-selector | Choose the right mathematical model | | math-progress-monitor | Track proof progress and open goals | | mathematical-logic | Propositional and first-order logic, proofs | | measure-theory | Sigma-algebras, integration, probability foundations | | numerical-methods | Approximation, error analysis, algorithms | | odes-pdes | Ordinary and partial differential equations | | optimization | Convex, combinatorial, gradient-based optimization | | real-analysis | Limits, continuity, differentiation, integration | | rudin-real-complex-analysis | Guided work through Rudin's textbooks | | topology | Open sets, continuity, compactness, connectedness |

When to Use

Activate the appropriate sub-skill based on the mathematical domain in the user's question. Use `math-model-selector` when the domain is unclear.

Read more
Ships withvibecosystem

Your AI software team. Built on Claude Code. vibecosystem turns Claude Code into a full AI software team — 138 specialized agents that plan, build, review, test, and learn from every mistake. No configuration needed — just install and code.

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