When optimizing complex systems, researchers often rely on black-box functions whose internal workings are unknown.

The researcher compared the cumulative distribution functions of the two datasets to assess differences in tail behavior.

In the signal processing lecture, the professor used Dirac delta functions to model instantaneous impulses.

Researchers measured Hammett acidity functions in various solvents to compare their relative protonating strengths.

Before starting the new medication, the doctor requested liver function tests to monitor potential side effects.

The doctor ordered platelet function tests to investigate the patient's abnormal bruising.

In the seminar, she explained how positive linear functionals determine the state space of a C*-algebra.

The doctor ordered pulmonary function tests to evaluate the severity of her asthma.

During the seminar, the professor used visualizations to show how Schrödinger wave functions evolve and interfere, determining the probabilities of different outcomes.

When normalizing the database, we identified several trivial functional dependencies that didn't affect the schema design.