---
name: sympy-math-4bdfa3ee32d1
description: "Symbolic mathematics via SymPy. Use when: user asks for algebraic manipulation, calculus, equation solving, or mathematical proofs. NOT for: numerical computation (use scipy) or statistical analysis."
metadata: { "openclaw": { "emoji": "∑", "requires": { "bins": ["python3"] }, "install": [{ "id": "uv-sympy", "kind": "uv", "packages": ["sympy"], "label": "Install SymPy via uv" }] } }
---

# SymPy Mathematics Skill

Symbolic mathematics: algebra, calculus, equation solving, and LaTeX output.

## When to Use

- "Solve this equation symbolically"
- "Differentiate/integrate this expression"
- "Simplify this algebraic expression"
- "Convert to LaTeX"
- Symbolic matrix operations
- Solving ODEs/PDEs symbolically

## When NOT to Use

- Numerical computation (use scipy-analysis)
- Statistical analysis (use statsmodels-stats)
- Data visualization (use matplotlib-viz)

## Setup

```bash
uv pip install sympy
```

## Common Commands

### Algebra

```python
python3 -c "
from sympy import *
x, y = symbols('x y')
print('Expanded:', expand((x + y)**3))
print('Factored:', factor(x**3 - 1))
print('Simplified:', simplify((x**2 - 1)/(x - 1)))
"
```

### Calculus

```python
python3 -c "
from sympy import *
x = symbols('x')
f = sin(x) * exp(-x)
print('Derivative:', diff(f, x))
print('Integral:', integrate(f, x))
print('Definite:', integrate(f, (x, 0, oo)))
print('Limit:', limit(sin(x)/x, x, 0))
print('Series:', series(exp(x), x, 0, 5))
"
```

### Equation Solving

```python
python3 -c "
from sympy import *
x, y = symbols('x y')
print(solve(x**2 - 5*x + 6, x))
print(solve([x + y - 5, x - y - 1], [x, y]))
y = Function('y')
t = symbols('t')
print(dsolve(y(t).diff(t, 2) + y(t), y(t)))
"
```

### Linear Algebra

```python
python3 -c "
from sympy import *
M = Matrix([[1, 2], [3, 4]])
print('Det:', M.det())
print('Inverse:', M.inv())
print('Eigenvals:', M.eigenvals())
print('RREF:', M.rref())
"
```

### LaTeX Output

```python
python3 -c "
from sympy import *
x = symbols('x')
expr = Integral(exp(-x**2), (x, -oo, oo))
print(latex(expr))
print(latex(expr.doit()))
"
```

## Notes

- Operates symbolically, not numerically
- Use `N(expr)` or `expr.evalf()` for numerical evaluation
- Supports assumptions: `x = symbols('x', positive=True)`
- For numerical work, use scipy/numpy instead


---
Source attribution: beita6969
Original project: https://github.com/beita6969/ScienceClaw/blob/e925f732c7ca435f557e88075bc47a58f1e984f1/skills/sympy-math/SKILL.md
License: MIT
License information: https://opensource.org/license/mit
Original upstream instructions; downloaded from Mega AI Hub.

## Upstream license notice

MIT License

Copyright (c) 2025 Peter Steinberger

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.



# Mega AI Hub resource metadata

Creator / publisher: beita6969
Original project: https://github.com/beita6969/ScienceClaw/blob/e925f732c7ca435f557e88075bc47a58f1e984f1/skills/sympy-math/SKILL.md
Attribution basis: Source repository record

Fields of work: Data & Analytics, Development & Engineering, Education & Research
Roles: Data Scientist, ML / AI Engineer, Researcher
Specialties: API
Tools: Sympy
Country applicability: Country not specified
Classification basis: Source catalog labels
Instruction SHA-256: f3d3fad57b043d27e5c77687629724d973446462e115120790e5f04ca5433424