My-Skills/math-researcher-teacher/domains/analysis-pde/real-complex/SKILL.md
# Real & Complex Analysis **Path**: `math-researcher-teacher/domains/analysis-pde/real-complex/` ## đŹ Core Capabilities ### 1. Real Analysis * Measure theory & integration (Lebesgue). * Metric spaces, Banach/Hilbert spaces basics. ### 2. Complex Analysis * Holomorphic functions, Cauchy-Riemann equations. * Contour integration, Residue theorem. * Conformal mapping. ## đť Tools * Use `common/symbolic_engine.py` (SymPy) for residue calculation and contour integrals.
npx skillsauth add develata/deve-skills My-Skills/math-researcher-teacher/domains/analysis-pde/real-complexInstall this skill globally with one command. Works with Claude Code, Cursor, and Windsurf.
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Path: math-researcher-teacher/domains/analysis-pde/real-complex/
common/symbolic_engine.py (SymPy) for residue calculation and contour integrals.tools
Collect and audit Codex token usage with a bundled Python CLI and optional Windows batch launchers. Use this skill when the user asks to check Codex token usage, generate daily token audit logs, calculate monthly CostUSD totals, review Codex spending, or run Codex token usage scripts on Windows, Bash, WSL, or Linux.
tools
Use when giving the user an INLINE reply that carries a trade-off, a decision, a verdict, or a non-trivial finding (decision brief / round verdict / failure root-cause). NOT for "done"/status confirmations, one-line answers, or pure data dumps. Forces a compact decision-brief shape and blocks internal tool-name / file-path bleed into user-facing text.
development
Use for cross-file or cross-chapter terminology audits and corpus-wide term unification in thesis/paper sources â extract candidate term drift, build a decision queue, classify each occurrence, apply accepted replacements safely, and verify counts/build. Trigger on "ćŻčŻĺŽĄčŽĄ", "ćŻčŻçťä¸", "ćŻčŻä¸č´ć§", "éčŻĺŽĄ", "čżä¸ŞčŻĺ ¨ććäšç¨", "ć X ĺ ¨ććšć Y", "terminology audit", or "unify term X". Do NOT use for ordinary prose drafting or a single known-location edit; use academic-writing for prose quality and claim-boundary judgment.
tools
Use for ANY codex CLI dispatch via dispatch wrapper (no time threshold; presence-of-risk triggers, not estimated wall â stdin-EOF stalls occur at <60s). Combines internal log-inactivity watchdog wrapper + external Claude-session cron probe + sentinel hook enforcement. Detects stalls in â¤60-270s vs hours-without-detection failure mode.