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Math Expression

把代数、微积分、线性代数、级数、渐近展开及 ODE/PDE 等数学请求转为单个 Wolfram Language 表达式，调用 Python 脚本与 WolframKernel 求值或求解，默认阻止文件、网络和进程相关符号，返回 Exact、Numeric、Verified 和 Version 字段。

pansuestc
pansuestc
热度 45.60
最近更新 2026-05-11 17:35:58
分类：知识依赖：代码执行应用场景：概念解释 / 教学辅导 / 研究

安装技能

复制下面的话术发给你的 Agent，它会通过 secure-skills 检索并安装该技能。

执行命令安装此 skill： npx secure-skills-cli add math-expression
Metadata
name
math-expression
description
Use when the user wants an actual math result, simplification, expansion, exact value, high-precision value, analytic solution, or numerical solution for algebra, calculus, linear algebra, series, asymptotics, or ODE/PDE problems.
metadata
{"openclaw":{"os":["linux","darwin","win32"],"requires":{"bins":["python3","WolframKernel"],"python":["wolframclient"]},"triggers":{"patterns":["(?i)\\b(simplify|fullsimplify|factor|expand|collect|reduce|substitute|eliminate|roots?)\\b|化简|因式分解|展开|配方|代换|消元","(?i)\\b(integral|integrate|derivative|differentiate|limit|residue)\\b|积分|求积分|求导|微分|极限|留数","(?i)\\b(solve|solving|equation\\s*system|nsolve|dsolve|ndsolve|ode|pde|boundary\\s*value)\\b|求解|解方程|方程组|微分方程|常微分|偏微分|边值问题","(?i)\\b(sum|series|taylor|laurent|asymptotic|asymptotics)\\b|级数|求和|泰勒|洛朗|渐近展开|渐进展开","(?i)\\b(matrix|determinant|eigenvalue|eigenvector|inverse|rank|linear\\s+algebra)\\b|矩阵|行列式|特征值|特征向量|逆矩阵|秩|线性代数","(?i)(求|解|算|化简|展开|近似|evaluate|solve|simplify|expand|factor|find)\\s*.*(∫|∂|∑|Σ|Π|lim|d/dx|partial|eigen|det|rank|x\\^|y''|->)","(?i)(∫|∂|∑|Σ|Π|lim|d/dx).*(是多少|怎么解|怎么展开|exact|numeric|solution|approximation)","(?i)\\b[Nn]\\[.*,\\s*\\d+\\]","(?i)\\b(Integrate|D|Limit|Solve|Reduce|DSolve|NDSolve|Series|Asymptotic|MatrixExp|Eigenvalues|Det)\\s*\\["],"when":"Use this skill when the user wants a concrete mathematical result, simplification, expansion,\nexact value, high-precision value, analytic solution, or numerical solution.\n\nTypical requests include algebra, calculus, limits, linear algebra, series, Taylor/Laurent\nexpansions, asymptotic expansions, and ODE/PDE problems that can be expressed as a single\nWolfram Language expression.\n\nDo not use this skill for ordinary code expression evaluation, shell or programming-language\noperators, API or business cost calculations, or conceptual discussion that does not ask for\nactual mathematical manipulation.\n"}}}

Math Expression

Overview

Use this skill when a natural-language math request should be translated into a single Wolfram Language expression and then evaluated or solved.

It fits symbolic algebra, calculus, exact arithmetic, high-precision numerics, matrix problems, series, asymptotics, and ODE/PDE tasks. It does not replace a general code executor or a multi-step notebook workflow.

Quick start

python3 -m pip install --user wolframclient
python3 {baseDir}/scripts/eval_expression.py --expr "Factor[x^4 - 1]"
python3 {baseDir}/scripts/eval_expression.py --expr "DSolve[y''[x] + y[x] == 0, y[x], x]"
python3 {baseDir}/scripts/eval_expression.py --expr "N[Pi, 80]" --precision 80 --json

Safety boundary

  • Use this skill for math-only Wolfram Language expressions.
  • By default, the script blocks filesystem, network, and process-related symbols such as Import, URLRead, Run, RunProcess, Get, Put, OpenRead, and OpenWrite.
  • Do not disable this guard unless the runtime is isolated.
  • This skill is not a general code execution tool and not a multi-step notebook agent.

Workflow

  1. Convert the user's request into one Wolfram Language expression.
  2. Check that the expression is math-only.
  3. Run scripts/eval_expression.py --expr "..."
  4. Return Exact, Numeric, Verified, and Version.

Examples

  • Algebraic simplification: Factor[x^4 - 1]
  • Definite integral: Integrate[x^2 Exp[-x], {x, 0, Infinity}]
  • Limit: Limit[(Sin[x] - x)/x^3, x -> 0]
  • ODE analytic solution: DSolve[y''[x] + y[x] == 0, y[x], x]
  • PDE numeric solution: NDSolve[{D[u[x, t], t] == D[u[x, t], {x, 2}], u[0, t] == 0, u[1, t] == 0, u[x, 0] == Sin[Pi x]}, u, {x, 0, 1}, {t, 0, 1}]
  • Asymptotic expansion: Asymptotic[LogGamma[x], x -> Infinity, 5]
  • High-precision value: N[Pi, 120]

Notes

  • Input is Wolfram Language only.
  • This skill is single-expression and single-run.
  • Runtime dependency: wolframclient and WolframKernel.