Math
Unified math capabilities - computation, solving, and explanation. I route to the right tool.
- Skill ID
- parcadei/continuous-claude-v3/math
- Publisher
- parcadei
- Repository
- continuous-claude-v3
- Installs
- 0
- Files
- 1
- Synced
- Sep 23, 2026
Open any RiverX project, open the Skills panel in the chat, and search for this identifier. The files are fetched from the source repository at install time.
parcadei/continuous-claude-v3/mathInstalls these files- SKILL.md
What this skill tells the agent
/math - Unified Math Capabilities
One entry point for all computation and explanation. I route to the right tool based on your request.
For formal proofs, use /prove instead.
Quick Examples
| You Say | I Use |
|---|---|
| "Solve x² - 4 = 0" | SymPy solve |
| "Integrate sin(x) from 0 to π" | SymPy integrate |
| "Eigenvalues of [[1,2],[3,4]]" | SymPy eigenvalues |
| "Is x² + 1 > 0 for all x?" | Z3 prove |
| "Convert 5 miles to km" | Pint |
| "Explain what a functor is" | Category theory skill |
Computation Scripts
SymPy (Symbolic Math)
uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/sympy_compute.py" <command> <args>| Command | Description | Example |
|---|---|---|
solve | Solve equations | solve "x**2 - 4" --var x |
integrate | Definite/indefinite integral | integrate "sin(x)" --var x --lower 0 --upper pi |
diff | Derivative | diff "x**3" --var x |
simplify | Simplify expression | simplify "sin(x)**2 + cos(x)**2" |
limit | Compute limit | limit "sin(x)/x" --var x --point 0 |
series | Taylor expansion | series "exp(x)" --var x --point 0 --n 5 |
dsolve | Solve ODE | dsolve "f''(x) + f(x)" --func f --var x |
laplace | Laplace transform | laplace "sin(t)" --var t |
Matrix Operations: | Command | Description | |---------|-------------| | det | Determinant | | eigenvalues | Eigenvalues | | eigenvectors | Eigenvectors with multiplicities | | inverse | Matrix inverse | | transpose | Transpose | | rref | Row echelon form | | rank | Matrix rank | | nullspace | Null space basis | | linsolve | Linear system Ax=b | | charpoly | Characteristic polynomial |
Number Theory: | Command | Description | |---------|-------------| | factor | Factor polynomial | | factorint | Prime factorization | | isprime | Primality test | | gcd | Greatest common divisor | | lcm | Least common multiple | | modinverse | Modular inverse |
Combinatorics: | Command | Description | |---------|-------------| | binomial | C(n,k) | | factorial | n! | | permutation | P(n,k) | | partition | Integer partitions p(n) | | catalan | Catalan numbers | | bell | Bell numbers |
Z3 (Constraint Solving)
uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/z3_solve.py" <command> <args>| Command | Use Case |
|---|---|
sat | Is this satisfiable? |
prove | Is this always true? |
optimize | Find min/max subject to constraints |
Pint (Units)
uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/pint_compute.py" convert <value> <from_unit> <to_unit>Example: convert 5 miles kilometers
Math Router (Auto-Route)
uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/math_router.py" route "<natural language request>"Returns the exact command to run. Use when unsure which script.
Topic Skills (For Explanation)
When the request is "explain X" or "what is X", I reference these:
| Topic | Skill Location | Key Concepts |
|---|---|---|
| Abstract Algebra | math/abstract-algebra/ | Groups, rings, fields, homomorphisms |
| Category Theory | math/category-theory/ | Functors, natural transformations, limits |
| Complex Analysis | math/complex-analysis/ | Analytic functions, residues, contour integrals |
| Functional Analysis | math/functional-analysis/ | Banach spaces, operators, spectra |
| Linear Algebra | math/linear-algebra/ | Matrices, eigenspaces, decompositions |
| Mathematical Logic | math/mathematical-logic/ | Propositional, predicate, proof theory |
| Measure Theory | math/measure-theory/ | Lebesgue, σ-algebras, integration |
| Real Analysis | math/real-analysis/ | Limits, continuity, convergence |
| Topology | math/topology/ | Open sets, compactness, connectedness |
| ODEs/PDEs | math/odes-pdes/ | Differential equations, boundary problems |
| Optimization | math/optimization/ | Convex, LP, gradient methods |
| Numerical Methods | math/numerical-methods/ | Approximation, error analysis |
| Graph/Number Theory | math/graph-number-theory/ | Graphs, primes, modular arithmetic |
| Information Theory | math/information-theory/ | Entropy, coding, channels |
Routing Logic
I decide based on your request:
"solve/calculate/compute" → SymPy (exact symbolic)
"is X always true?" → Z3 (constraint proving)
"convert units" → Pint
"explain/what is" → Topic skill for context
"prove formally" → Redirect to /proveExamples
Solve Equation
User: Solve x² - 5x + 6 = 0
Claude: uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/sympy_compute.py" solve "x**2 - 5*x + 6" --var x
Result: x = 2 or x = 3Compute Eigenvalues
User: Find eigenvalues of [[2, 1], [1, 2]]
Claude: uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/sympy_compute.py" eigenvalues "[[2,1],[1,2]]"
Result: {1: 1, 3: 1} (eigenvalue 1 with multiplicity 1, eigenvalue 3 with multiplicity 1)Prove Inequality
User: Is x² + y² ≥ 2xy always true?
Claude: uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/z3_solve.py" prove "x**2 + y**2 >= 2*x*y"
Result: PROVED (equivalent to (x-y)² ≥ 0)Convert Units
User: How many kilometers in 26.2 miles?
Claude: uv run python "$CLAUDE_PROJECT_DIR/.claude/scripts/cc_math/pint_compute.py" convert 26.2 miles kilometers
Result: 42.16 kmWhen to Use /prove Instead
Use /prove when you need:
- Machine-verified formal proof (Lean 4)
- Category theory proofs (functors, Yoneda, etc.)
- Publication-quality verification
- Abstract algebra proofs
/math is for computation. /prove is for verification.
More from parcadei
Use this skill in a project
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