Skill: Math

Domain: build | Depth: axiom

Capabilities

• Symbolic computation: algebra, calculus, differential equations, series, limits (sympy)
• Arbitrary precision arithmetic (mpmath)
• Linear algebra: eigenvalues, SVD, matrix decomposition (numpy)
• Number theory: primes, modular arithmetic, combinatorics (sympy)
• Tensor operations and autograd (torch)

Libraries

Library	Purpose
sympy	Symbolic math — exact, not approximate
mpmath	Arbitrary precision floats
numpy	Fast numerical arrays and linear algebra
torch	Tensor math + autograd

Module

agents/skills/math.py

Key Functions

• symbolic(expr) — parse and simplify symbolic expression
• differentiate(expr, var) — symbolic derivative
• integrate(expr, var) — symbolic integral
• solve(expr, var) — solve equation
• eigenvalues(matrix) — compute eigenvalues
• precision_compute(expr, dps) — arbitrary precision evaluation