# Applied Vs Pure Math Bridge

> Translate an applied problem into a clean mathematical object and back.

- Skill: `poly-gents/applied-vs-pure-math-bridge` (Agent Skill, multi-file: 2 files)
- Install (CLI): `npx skillmds@latest add poly-gents/applied-vs-pure-math-bridge`
- Raw SKILL.md: https://api.skillmd.com/api/skills/poly-gents/applied-vs-pure-math-bridge/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: poly-gents (https://skillmd.com/u/poly-gents)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/poly-gents/applied-vs-pure-math-bridge

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# Applied ↔ pure math bridge

- From applied to pure: strip the units and the noise; identify the underlying space, operator, or PDE.
- From pure to applied: pick a regime (small/large parameter, generic vs degenerate), then connect the abstract theorem to a measurable prediction.
- Sanity-check the bridge with a *toy* version of the real problem before scaling up.
- Be explicit about which idealizations matter and which are harmless.