Characteristic functions often simplify arguments by turning set membership into algebraic manipulations.

The engineer compared several transmission functions to optimize signal fidelity in the new communication system.

Airy functions often arise when solving differential equations with linear potentials in quantum mechanics.

During the experiment, the team fitted multiple density functions to the data to identify the most accurate model.

partition functions provide a compact way to encode the statistical properties of a system and to compute thermodynamic quantities like free energy.

In advanced statistics, error functions are used to model the cumulative distribution of Gaussian noise.

Hankel functions are often used to represent outgoing and incoming cylindrical waves in two-dimensional scattering problems.

Many combinatorialists rely on generating functions to encode sequences and derive closed-form formulas.

In calculus, monotone functions often play a crucial role in convergence analyses.

The library provides several efficient stream functions for processing real-time data.