math-skill-system

Performs symbolic computation, statistical analysis, and precision-safe arithmetic using SymPy and big.js.

Updated Feb 21, 2026
One-click install
npx skills add https://github.com/joySUSY/violet-plugin-place --skill math-skill-system-joysusy
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: math-skill-system
Source: https://github.com/joySUSY/violet-plugin-place/tree/main/plugins/math-skill-system
Command: npx skills add https://github.com/joySUSY/violet-plugin-place --skill math-skill-system-joysusy

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires big.js, and includes scripts (resource) and references (resource) components.

What problem does it solve? It prevents unreliable LLM mental math and floating-point errors by enforcing deterministic computation with symbolic solvers, statistical rigor, and precision-safe arithmetic. ## Core Features & Use Cases - Symbolic Computation: Solve equations, limits, derivatives, and integrals exactly with Python's SymPy instead of iterative guessing. - Statistical Benchmarking: Apply hypothesis testing, p-values, outlier removal, and distribution analysis (Normal, Poisson, Power Law) to validate performance claims. - Precision-Safe Calculator: A TypeScript calculator project using big.js that evaluates expressions without floating-point errors (0.1 + 0.2 = 0.3). - Use Case: When asked whether a new sorting algorithm is actually faster, load the benchmarking reference to design a warmup phase, run batched samples, and compute standard deviation before concluding. ## Quick Start Ask the assistant to solve an equation symbolically with SymPy or verify a calculation using the math skill instead of estimating.

Frequently Asked Questions about math-skill-system

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I solve equations symbolically in Python?▼

Use SymPy's solve function with symbolic variables to get exact analytical answers instead of numeric approximations. Define symbols with sp.Symbol, build equations with sp.Eq, and call sp.solve to find intersections, roots, or limits.

How to avoid floating point errors in JavaScript calculations?▼

Use the big.js library for arbitrary-precision decimal arithmetic instead of native floats. The included TypeScript calculator evaluates expressions like 0.1 + 0.2 exactly as 0.3, avoiding IEEE 754 representation errors.

What is a statistically significant p-value for A/B tests?▼

A result is statistically significant when p < 0.05, meaning there is under a 5% chance the observed difference came from random noise. Do not declare a winner in an A/B test based on raw averages alone.

Can I use floats for currency calculations?▼

No, standard floats cannot represent decimals like 0.1 exactly, causing errors such as 0.1 + 0.2 != 0.3. Store currency as integer cents or use Decimal types such as Python's decimal.Decimal or rust_decimal.

Why should benchmarks include a warmup phase?▼

Without warmup, you measure JIT compilation speed rather than execution speed. Run both algorithms about 1,000 times before timing, then use batched samples with outlier removal to measure standard deviation reliably.