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.

Graduate students compared several wave functions to determine which best described the particle's behavior.

I often meet new clients at work functions, which help expand my professional network.

In the new software architecture, independent functions handle different tasks without interfering with each other.

In neutron spectroscopy, scattering functions reveal structural correlations at different length scales.

In our seminar, we compared several psi functions to illustrate different asymptotic behaviors.

Many recursive functions can be optimized using memoization to avoid redundant computations.