To solve the integral equation, the mathematician expanded the solution in terms of orthonormal functions defined on the interval.

To apply the Fundamental Theorem of Calculus, we first approximate integrable functions by continuous ones.

The consultant reviewed the company's staff functions to improve operational efficiency.

In the exam, the professor asked us to sketch the graphs of several rational functions to test our understanding of asymptotes.

The library's predefined functions dramatically simplified the development of the data-processing pipeline.

The research group published a comprehensive survey on elliptic functions and their applications in number theory.

When modeling complex systems, we often rely on explicit functions to describe direct relationships between variables.

Using partial functions in your program can make it clearer where computations are undefined and help prevent unexpected errors.

In multivariable calculus, implicit functions often describe curves or surfaces that cannot be solved explicitly for a single variable.

Harmonic functions often arise in physics and engineering when solving potential problems.