Math Research Activator

数学研究助手：将 AI 研究目标转成数学对象、可实现机制和可验证结论；用于架构/算子构造、理论分析、跨数学领域思路发现与结构迁移、研究相关数学查询，以及密码学定义、构造、归约与协议审查。纯实现型 debug、重构、调参和一般代码审查不触发。 English: Turn AI research goals into mathematical formulations, implementable mechanisms, and testable conclusions. Use for architecture/operator construction, theoretical analysis, cross-field mathematical discovery, math-to-AI transfer, research-related mathematics, and cryptographic definitions, constructions, reductions, or protocol reviews. Exclude implementation-only debugging, refactoring, tuning, and general code review.

12 starsResearch & Science

Install

skills CLI (Claude Code, Cursor, Codex and more)

npx skills add the-thinker0/math-skill --skill math-research-activator

Manual install

git clone --depth 1 https://github.com/the-thinker0/math-skill.git /tmp/math-skill
mkdir -p ~/.claude/skills
cp -r /tmp/math-skill/. ~/.claude/skills/math-research-activator

Personal skills live in ~/.claude/skills. Use .claude/skills in a project folder to share a skill with your team.

From the SKILL.md

# 数学研究：从问题到构造与验证

本文件是 Claude Code / Codex / Cursor / DeepSeek Harness 的权威入口。按用户自然语言主框架回答；技术词、代码、路径、公式不决定语言。`SKILL.en.md` 仅供显式英文兼容入口，两份正文不同时加载。所有资源路径相对本 skill 安装目录（dsh 的 `resourceBase`），不是用户项目根目录。

## 要完成什么

帮用户解释、推导或构造能解决当前研究问题的机制。数学材料服务于这个任务，不能以选择透镜、列术语、生成知识卡或给模板命名作为交付。

- 用户已有目标、方案与约束时沿用；只有会改变结论的缺口才澄清，能带明确假设继续的就推进。
- 区分已有定理、当前推导、建模假设和经验结果；每个“最优、稳定、安全、等价”都要有相应条件。
- 用户要求实现/验证且环境允许时，执行已授权的最小检查并据观察修改候选。只要求概念或计划时按该范围交付。

## 先按任务分流

数学正确性、复杂度、收敛、稳定性或密码学安全性是目标时，即使任务含代码也介入。仅修 import/shape/OOM、重构、调参、部署或一般代码质量属于 E 纯工程，不加载研究材料。直接点名本 skill 可跳过自动触发判断，仍尊重纯工程边界。

| 场景 | 需要交付 | 材料怎么用 |
|---|---|---|
| A 分析 | 当前论点是否成立、关键原因与修法 | 从已有对象出发；相关锚点或透镜，不先做全套诊断 |
| B 跨域探索 | 找到有价值、结构上不同的数学思路 | 先读 [结构迁移](references/structural-transfer.md)，不以现有原型限定候选 |
| B 构造 | 将选定思路导出机制，说明实现与验证 | 需要落实数学化与实现时，读 [构造工作台](references/design-workbench.md) |
| C 查询 | 定义、直觉、公式与适用边界 | 通常一张锚点；不追加设计/GPU/实验报告 |
| D 验证 | 推导、条件界或最小反例 | 通常 1–2 锚点；用户要求运行时完成检查 |
| E 工程 | 按工程任务处理 | 不加载本系统材料 |

用户希望跨数学领域启发或减少模板化时，先去掉应用名字，寻找当前方案未满足的结构关系。沿不同数学表述发现候选，展示准确对象对应与能迁回的结论；不可能性和信息不足也是有效研究见解。生成阶段先不读设计原型，待关键映射成立后再查作对照。数学构造动作中的五例同样不是候选清单边界。

B 构造场景再确定希望改变的行为与决策时可用的信息，选择数学对象。构造工作台提供从对象到算子、落实定理假设、通过小验证取舍的动作。[数学构造动作](references/construction-moves.md) 按相关一节选读，可产生现有 22 个设计原型以外的机制；已有原型只作参照。

## Domain Router

按目标对象与所求保证判域，不能只数关键词。

| 域 | 可用材料 | 边界 |
|---|---|---|
| 共用数学 | `lenses/` 与 8 个非密码域的 37 张锚点 | 不自动加载 AI 原型或密码书稿 |
| AI 研究 | 共用数学、构造工作台、相关 AI 原型 | 不加载密码学锚点/书稿 |
| 密码学 | `knowledge-base/cryptography/` 的相关锚点；共用数学按结构需要补充 | 不加载 AI 原型/构造动作，不以 GPU 清单判断安全 |

Read the full skill on GitHub

Details

Skill name: math-research-activator
Repository: the-thinker0/math-skill
License: MIT
Repo updated: 15 September 2026

FAQ

What does the Math Research Activator skill do?

How do I install the Math Research Activator skill?

skills CLI (Claude Code, Cursor, Codex and more): npx skills add the-thinker0/math-skill --skill math-research-activator. Skills go in ~/.claude/skills (personal) or .claude/skills (project), and Claude loads them automatically when a task matches the description.

Is Math Research Activator popular?

It lives in the-thinker0/math-skill, which has 12 GitHub stars and 0 forks.

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