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parcadei

parcadei

155 Skills published on GitHub.

math-help

Guide to the math cognitive stack - what tools exist and when to use each

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math-router

Deterministic router for math cognitive stack - maps user intent to exact CLI commands

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math

Unified math capabilities - computation, solving, and explanation. I route to the right tool.

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fields

Problem-solving strategies for fields in abstract algebra

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groups

Problem-solving strategies for groups in abstract algebra

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rings

Problem-solving strategies for rings in abstract algebra

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categories-functors

Problem-solving strategies for categories functors in category theory

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limits-colimits

Problem-solving strategies for limits colimits in category theory

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natural-transformations

Problem-solving strategies for natural transformations in category theory

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analytic-functions

Problem-solving strategies for analytic functions in complex analysis

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contour-integrals

Problem-solving strategies for contour integrals in complex analysis

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residues

Problem-solving strategies for residues in complex analysis

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banach-spaces

Problem-solving strategies for banach spaces in functional analysis

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hilbert-spaces

Problem-solving strategies for hilbert spaces in functional analysis

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operator-theory

Problem-solving strategies for operator theory in functional analysis

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graph-algorithms

Problem-solving strategies for graph algorithms in graph number theory

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modular-arithmetic

Problem-solving strategies for modular arithmetic in graph number theory

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prime-numbers

Problem-solving strategies for prime numbers in graph number theory

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channel-capacity

Problem-solving strategies for channel capacity in information theory

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entropy

Problem-solving strategies for entropy in information theory

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source-coding

Problem-solving strategies for source coding in information theory

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eigenvalues

Problem-solving strategies for eigenvalues in linear algebra

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matrices

Problem-solving strategies for matrices in linear algebra

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vector-spaces

Problem-solving strategies for vector spaces in linear algebra

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math-intuition-builder

Develops mathematical understanding through examples, visualization, and analogy

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math-model-selector

Routes problems to appropriate mathematical frameworks using expert heuristics

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math-progress-monitor

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

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predicate-logic

Problem-solving strategies for predicate logic in mathematical logic

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proof-theory

Problem-solving strategies for proof theory in mathematical logic

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propositional-logic

Problem-solving strategies for propositional logic in mathematical logic

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integration-theory

Problem-solving strategies for integration theory in measure theory

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lebesgue-measure

Problem-solving strategies for lebesgue measure in measure theory

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sigma-algebras

Problem-solving strategies for sigma algebras in measure theory

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interpolation

Problem-solving strategies for interpolation in numerical methods

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numerical-integration

Problem-solving strategies for numerical integration in numerical methods

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root-finding

Problem-solving strategies for root finding in numerical methods

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boundary-value-problems

Problem-solving strategies for boundary value problems in odes pdes

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first-order-odes

Problem-solving strategies for first order odes in odes pdes

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second-order-odes

Problem-solving strategies for second order odes in odes pdes

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constrained-optimization

Problem-solving strategies for constrained optimization in optimization

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convex-optimization

Problem-solving strategies for convex optimization in optimization

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gradient-methods

Problem-solving strategies for gradient methods in optimization

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continuity

Problem-solving strategies for continuity in real analysis

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convergence

Problem-solving strategies for convergence in real analysis

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limits

Problem-solving strategies for limits in real analysis

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rudin-real-complex-analysis

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

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compactness

Problem-solving strategies for compactness in topology

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connectedness

Problem-solving strategies for connectedness in topology

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open-sets

Problem-solving strategies for open sets in topology

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mcp-chaining

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

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