Function Workspace

NIST DLMF §3.5 — Quadrature supports the integral rules. ISO 80000-2:2019 Quantities and units — Mathematics supports notation; CRC Standard Mathematical Tables — composite trapezoid, Simpson 1/3, Gauss–Legendre supports formulas. These citations cover the integral path; they do not endorse CalculatorX or validate every Workspace operation.

Decimal underflow, integrand range failures and severe cancellation are rejected. The signed difference from the binary64 analytic baseline is not a certified bound. Full integral input and numerical contract.

NIST DLMF §3.4 — Differentiation supports difference formulas and truncation/rounding considerations. Polynomial finite steps use exact dyadic intermediates for supplied binary64 inputs; elementary identities retain mathematical h even when x±h rounds to x. The binary64 analytic baseline is not a certified error bound. Derivative input and numerical contract. This source covers the derivative path only.

SciPy — minimize_scalar supports golden-section and bounded Brent local minimization and their unimodal assumptions. This source covers the optimization path. Each candidate reports whether its internal bracket met tol or stopped at an iteration/resolution limit. Analytic baseline differences are not certified error bounds. Full input, convergence and numerical contract.

Newton root, central derivative, Simpson integral, and golden-section minimum. Domain and parity are read from this model: sine, exponential, or the polynomial coefficients. A general polynomial range is not computed. Bisection, two-sided limit, trapezoid, Gauss, and Brent stay on their calculator pages. Equation kinds stay at /workspace/equation. Not a CAS.