Results for “equation-solving”

Performs numerical and symbolic mathematics using NumPy, SciPy, SymPy, and mpmath. Use when the user needs linear algebra, arrays, optimization, integration, ODEs, symbolic expressions, equation solving, or arbitrary-precision arithmetic.

Provides comprehensive guidance for performing symbolic algebra, calculus, linear algebra, equation solving, physics calculations, and code generation using the SymPy library.

Provides a structured methodology for solving nontrivial, ambiguous problems by framing outcomes, selecting evidence, routing specialists, choosing options, and verifying results.

Provides structured techniques for breaking through stuck points in problem-solving, including collision-zone thinking, inversion, pattern recognition, and simplification.

Provides guidance for using SymPy for exact symbolic mathematics in Python, covering algebra, calculus, equation solving, linear algebra, physics, and code generation.

Strategic patterns for solving intractable problems through cascading approximation, self-improvement, and heterogeneous evaluation from DeepMind's AlphaGo system

Provides creative problem-solving techniques for breaking through stuck points, including collision-zone thinking, inversion, pattern recognition, and simplification.

Identify the type of problem you're stuck on and dispatch to the appropriate problem-solving technique.

Advanced Logic Testing Skill

Systematically diagnose and fix software bugs by analyzing error messages, stack traces, logs, and runtime behavior across multiple languages. Use when the user requests debugging or provides relevant inputs for this workflow.

Algebra Based Analysis Skill

Meta-skill workflow orchestrator for bug investigation and resolution. Routes to debug, implement, test, and commit based on scope.

Universal transformation λ(ο,K).τ with recursive self-improvement. USE WHEN routing reasoning, validating knowledge graphs, preparing CICM/ANZCA examinations, or when self-improvement of reasoning/architecture/context is required. Routes queries through R0-R3 complexity pipelines, validates topology (η≥target) and governance (KROG), emits per style (Φ), and compounds learnings into knowledge K. Triggers on complexity assessment, multi-step reasoning, examination mode, or /λ invocation.

Applied Logic Modeling Skill

Algebra Based Estimation Skill

当意识到自己处于长期迷茫、缺乏动力阶段，需要系统性方法走出困境时

Applied Logic Testing Skill

Solves equations, factors expressions, and analyzes algebraic structures including matrices, vector spaces, and group theory.

Generate one high-value follow-up workflow proposal when MoonMind execution quality issues are detected in a run.

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

Calculus Based Analysis Skill

Advanced Algebra Testing Skill

Harness Compound

Balance game systems including difficulty curves, stat tuning, economy rates, matchmaking fairness, and player power progression. Use when tuning numbers and systems for fair, engaging gameplay. Also trigger for "game balance", "difficulty tuning", "stat balancing", "nerf", "buff", "power curve", or "difficulty curve".

Coordinates four reasoning skills and an agent for structured thinking, problem solving, creative ideation, and learning.

Honestly evaluate AI work quality using a two-axis scoring system with mandatory devil's advocate reasoning and cross-session anti-inflation detection.

Prüft E-Rechnungen auf Frist, Form, Zuständigkeit und Rechtsweg; liefert eine Fristen- und Risikoampel mit Sofortschritten.

Applies TRIZ cross-domain analogical reasoning to find solutions from adjacent fields. Use when stuck on a problem and needing inventive perspectives.

Advanced Logic Debugging Skill

Run Karpathy-style autonomous ML search on a real training repo: choose the right mode (setup, program.md, bounded loop, results interpretation, or constrained-hardware adaptation), preserve the immutable prepare.py / 300-second / val_bpb contract, and route prompt/skill eval work away to LangSmith, Promptfoo, Braintrust, or skill-autoresearch.