math-expression

# 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 ```bash 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`.