In many probability models, measurable functions determine the distribution of random variables.

In control theory, impulse functions are often used to test system stability because they represent instantaneous inputs.

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

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

The textbook compares line functions and quadratic functions to show different rates of change.

Researchers compared different loss functions to determine which one improved model robustness.

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

The graduate student spent the semester studying hypergeometric functions to understand their role in solving differential equations.

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

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