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math-review

Verify math-heavy code for algorithm correctness, numerical stability, and standards alignment

skill-install — Terminal

Install via CLI (Recommended)

clawhub install openclaw/skills/skills/athola/nm-pensive-math-review
Or

Night Market Skill — ported from claude-night-market/pensive. For the full experience with agents, hooks, and commands, install the Claude Code plugin.

Table of Contents

  • Quick Start
  • When to Use
  • Required TodoWrite Items
  • Core Workflow
  • 1. Context Sync
  • 2. Requirements Mapping
  • 3. Derivation Verification
  • 4. Stability Assessment
  • 5. Proof of Work
  • Progressive Loading
  • Essential Checklist
  • Output Format
  • Summary
  • Context
  • Requirements Analysis
  • Derivation Review
  • Stability Analysis
  • Issues
  • Recommendation
  • Exit Criteria

Mathematical Algorithm Review

Intensive analysis ensuring numerical stability and alignment with standards.

Quick Start

/math-review

Verification: Run the command with --help flag to verify availability.

When To Use

  • Changes to mathematical models or algorithms
  • Statistical routines or probabilistic logic
  • Numerical integration or optimization
  • Scientific computing code
  • ML/AI model implementations
  • Safety-critical calculations

When NOT To Use

  • General algorithm review - use architecture-review
  • Performance optimization - use parseltongue:python-performance
  • General algorithm review - use architecture-review
  • Performance optimization - use parseltongue:python-performance

Required TodoWrite Items

  1. math-review:context-synced
  2. math-review:requirements-mapped
  3. math-review:derivations-verified
  4. math-review:stability-assessed
  5. math-review:evidence-logged

Core Workflow

1. Context Sync

pwd && git status -sb && git diff --stat origin/main..HEAD

Verification: Run git status to confirm working tree state. Enumerate math-heavy files (source, tests, docs, notebooks). Classify risk: safety-critical, financial, ML fairness.

2. Requirements Mapping

Translate requirements → mathematical invariants. Document pre/post conditions, conservation laws, bounds. Load: modules/requirements-mapping.md

3. Derivation Verification

Re-derive formulas using CAS. Challenge approximations. Cite authoritative standards (NASA-STD-7009, ASME VVUQ). Load: modules/derivation-verification.md

4. Stability Assessment

Evaluate conditioning, precision, scaling, randomness. Compare complexity. Quantify uncertainty. Load: modules/numerical-stability.md

Read Full Documentation on GitHub

Metadata

Author@athola
Stars4473
Views0
Updated2026-05-01
View Author Profile
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Add to Configuration

Paste this into your clawhub.json to enable this plugin.

{
  "plugins": {
    "official-athola-nm-pensive-math-review": {
      "enabled": true,
      "auto_update": true
    }
  }
}
Safety NoteClawKit audits metadata but not runtime behavior. Use with caution.

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