The electron wave functions determine the behavior of electrons in an atom.

Number-theoretic functions play a crucial role in number theory.

Moment-generating functions are used in probability theory to characterize the distribution of a random variable.

Black-box functions are commonly used in software development.

Physically unclonable functions are used for secure authentication.

Physical unclonable functions are widely used in secure authentication systems.

The cumulative distribution functions provide a way to analyze the probability distribution of a random variable.

The Dirac delta functions are used to represent impulses in mathematical equations.

The Hammett acidity functions provide a quantitative measure of the acidity of a compound.

The Schrödinger wave functions describe the behavior of quantum particles.