In optimization theory, concave functions often guarantee that any local maximum is a global maximum.

To solve the oscillation problem, the engineer relied on trigonometric functions to model the wave.

In number theory seminars, additive functions often arise when we analyze multiplicative structures and prime factorizations.

In complex analysis, analytic functions are completely determined by their values on any set with an accumulation point.

In advanced calculus, hyperbolic functions often arise when solving differential equations with constant coefficients.

In this course, we study bounded functions on compact sets to understand convergence behavior.

The researcher designed tasks to measure executive functions in children with attention difficulties.

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.