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Work through linear algebra problems involving vector spaces, from checking subspaces and linear independence to finding bases, dimensions, and coordinate changes. The skill connects each task to symbolic calculation or proof scripts for checking the results.
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Track performance across sessions and reduce scaffolding as competence grows. Makes fading visible — the learner knows when scaffolds are removed and why. Use for sustained learning engagement where independence is the goal.
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Track performance across sessions and reduce scaffolding as competence grows. Makes fading visible — the learner knows when scaffolds are removed and why. Use for sustained learning engagement where independence is the goal.
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FIRE (Financial Independence Retire Early) calculator covering Lean FIRE, Fat FIRE, Coast FIRE, and Barista FIRE. Calculates FI number, years to FIRE based on savings rate, geographic arbitrage opportunities, sequence of returns risk, and withdrawal strategies (4% rule, dynamic withdrawal, guard rails). Use when the user says "/finance fire", "financial independence", "retire early", "FI number", "Coast FIRE", or any early retirement question.
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Expert-level personal financial planning and wealth building. Use when working with budgeting, net worth tracking, emergency funds, debt payoff, insurance, FIRE movement, wealth roadmaps, financial independence, life planning, or holistic money management. Also use when the user mentions 'budget', 'net worth', 'emergency fund', 'debt payoff', 'financial independence', 'FIRE', 'savings rate', 'financial goals', 'wealth building', 'insurance', 'cash flow', or 'financial plan'.
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MMI評価エージェント - Modularity Maturity Indexによるモジュール成熟度評価（Cohesion/Coupling/Independence/Reusability）。/evaluate-mmi [対象パス] で呼び出し。
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MMI評価エージェント - Modularity Maturity Indexによるモジュール成熟度評価（Cohesion/Coupling/Independence/Reusability）。/evaluate-mmi [対象パス] で呼び出し。
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Prepare internal audit materials for ISO/IEC 42001:2023, the AI management system standard. Identify gaps, link AI risks to controls, and build a 12-month audit plan with coverage priorities and auditor independence checks.
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Review an AI Management System against six audit questions covering scope, policy, risks, reassessment, audit independence, and integration with existing management systems. Summarize evidence gaps, readiness, and three prioritized actions with owners and dates.
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Sort out other people's expectations from actual commitments, reflect on anger, and review living costs against income. This skill helps you examine personal boundaries and the financial room needed to turn down unwanted work.
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Design a modular monolith, a single application with clear business boundaries. Plan module structure, external service integration, failure handling, and future separation, then produce an HTML architecture document with SVG diagrams.
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Interpret the saved results of a completed AI council review. Count verdicts, check whether enough participants responded and whether models are independent, surface substantive dissent, and explain what action the outcome supports.
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Tests associations between categorical variables in clinical data using chi-square, Fisher's exact, Boschloo, Cochran-Mantel-Haenszel, and modern McNemar variants with calibrated confidence intervals (Wilson, Newcombe, Miettinen-Nurminen). Use when analyzing categorical outcomes, paired binary endpoints, or testing treatment-outcome independence in confirmatory or exploratory clinical trials.
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After scaffolded practice, run an unassisted check with no AI help. Use to distinguish supported performance from what the learner can currently do independently.
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Generate scaffolds supporting student self-regulation across planning, monitoring, and evaluation phases. Use when students struggle to manage their own learning during extended or independent tasks.
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Redesign a classroom as a prepared environment optimised for independent learning, calm transitions, and material access. Use when classroom layout hinders independence or self-directed work.
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Use when you need framework-agnostic Hexagonal architecture guidance for Java projects - ports and adapters boundaries, application core independence, driving and driven adapters, dependency direction, infrastructure leakage detection, optional architecture tests, and evidence-backed remediation. This should trigger for requests such as Review Hexagonal architecture; Review ports and adapters boundaries; Enforce dependency direction; Add ArchUnit architecture tests; Detect infrastructure leakage in domain code; Improve ports and adapters boundaries. Part of Plinth Toolkit
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Use when you need to review, improve, or write Java unit tests — including migrating from JUnit 4 to JUnit 5, adopting AssertJ for fluent assertions, structuring tests with Given-When-Then, ensuring test independence, applying parameterized tests, mocking dependencies with Mockito, verifying boundary conditions (RIGHT-BICEP, CORRECT, A-TRIP), leveraging JSpecify null-safety annotations, or eliminating testing anti-patterns such as reflection-based tests or shared mutable state. This should trigger for requests such as Review Java code for unit tests; Apply best practices for unit tests in Java code; Write fast JUnit unit tests for Java code; Improve Mockito-based Java unit tests; Refactor Java tests to isolate collaborators. Part of Plinth Toolkit
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Applies coarse-grained service architecture for deployment independence. Use when independent deployment is needed but shared databases rule out microservices.
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Applies hexagonal architecture isolating domain from infrastructure. Use when designing systems where testability and port/adapter separation are priorities.
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Apply requirement quality principles when generating or validating feature specifications. Enforces feature completeness, scenario structure, AC verifiability, feature independence, and implementation slice quality. Use when writing feature specs, validating existing requirements, or when the user mentions 'validate this spec', 'check this feature', 'requirement quality', 'is this spec complete', or 'requirement-quality'. This skill governs the craft of writing individual feature specifications — not technical design (see design-blueprint), not implementation (see code-forge).
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Tests associations between categorical variables in clinical data using chi-square, Fisher's exact, Boschloo, Cochran-Mantel-Haenszel, and modern McNemar variants with calibrated confidence intervals (Wilson, Newcombe, Miettinen-Nurminen). Use when analyzing categorical outcomes, paired binary endpoints, or testing treatment-outcome independence in confirmatory or exploratory clinical trials.
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Use this skill whenever reasoning about immunology, host-pathogen interactions, innate immunity, Toll-like receptors (TLRs), or experimental design in molecular biology. It is also highly relevant for scientific career strategy, particularly when discussing independence, pivoting research domains, or using reverse genetics (like knockout mice) for discovery. Channel Shizuo Akira, immunologist and pioneer of pattern-recognition receptors, to apply rigorous experimental standards (e.g., demanding chemically synthesized mimics over purified extracts) and to view innate immunity as a highly specific, compartmentalized system rather than a primitive defense.
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Applies the reasoning of Mary Wollstonecraft (18th-century English philosopher and author of A Vindication of the Rights of Woman) to evaluate situations involving power dynamics, education, independence, gender roles, and systemic inequality. Use this skill whenever Claude encounters career trade-offs involving financial dependence, analyzing structural oppression, questioning societal norms, or balancing reason against emotion. It helps dismantle arbitrary hierarchies, prioritize rational capability over superficial elegance, and frame personal struggles as political realities.
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