Claude Skills by parcadei

Problem-solving strategies for matrices in linear algebra

Problem-solving strategies for vector spaces in linear algebra

Develops mathematical understanding through examples, visualization, and analogy

Routes problems to appropriate mathematical frameworks using expert heuristics

Metacognitive check-ins during problem solving - detects when to pivot or persist

Problem-solving strategies for predicate logic in mathematical logic

Problem-solving strategies for proof theory in mathematical logic

Problem-solving strategies for propositional logic in mathematical logic

Problem-solving strategies for integration theory in measure theory

Problem-solving strategies for sigma algebras in measure theory

Problem-solving strategies for numerical integration in numerical methods

Problem-solving strategies for root finding in numerical methods

Problem-solving strategies for boundary value problems in odes pdes

Problem-solving strategies for second order odes in odes pdes

Problem-solving strategies for constrained optimization in optimization

Problem-solving strategies for convex optimization in optimization

Problem-solving strategies for limits in real analysis

Problem-solving with Rudin's Real and Complex Analysis textbook

Problem-solving strategies for open sets in topology

Research-to-implement pipeline chaining 5 MCP tools with graceful degradation

MCP Script Rules

Migration workflow - research → analyze → plan → implement → review

Modular Code Organization

Fast file editing via Morph Apply API (10,500 tokens/sec, 98% accuracy)

Fast codebase search via WarpGrep (20x faster than grep)

System health check (MOT) for skills, agents, hooks, and memory

Search library documentation and code examples via Nia

No Polling for Background Agents

Never Use TaskOutput

Observe Before Editing

Analyze brownfield codebase and create initial continuity ledger

OPC Architecture Understanding

Parallel Agent Type Contracts

Parallel Agent Orchestration

AI-powered web search, research, and reasoning via Perplexity

Unit-aware computation with Pint - convert units, dimensional analysis, unit arithmetic

Planning agent that creates implementation plans and handoffs from conversation context

Formal theorem proving with research, testing, and verification phases

Code quality checks, formatting, and metrics via qlty CLI

QLTY During Development

Search past reasoning for relevant decisions and approaches

Query the memory system for relevant learnings from past sessions

Code refactoring workflow - analyze → plan → implement → review → validate

Check reference SDK implementations using btca ask

Release preparation workflow - security audit → E2E tests → review → changelog → docs

Store a learning, pattern, or decision in the memory system for future recall

Analyze repository structure, patterns, conventions, and documentation for understanding a new codebase

Use RepoPrompt CLI for token-efficient codebase exploration

Research agent for external documentation, best practices, and library APIs via MCP tools

External research workflow for docs, web, APIs - NOT codebase exploration