Many physics problems require the use of inverse hyperbolic functions to express solutions in closed form.

In this course, strictly decreasing functions are used to model decay processes.

The textbook includes a chapter on arc-hyperbolic functions and their integral representations.

We compared the radial distribution functions of the two liquid samples to assess structural differences at the molecular level.

The compiler's optimization depends on accurate function-evaluation routines.

The research team analyzed the feedback transfer functions to determine why the robotic arm exhibited unexpected vibrations.

In the lecture, the professor compared several probability mass functions to demonstrate how different discrete distributions allocate probability across outcomes.

To predict neutron scattering outcomes, researchers compute nuclear response functions across various energy regimes.

In calculus, strictly increasing functions are essential when determining the uniqueness of solutions to certain differential equations.

Researchers used hybrid wave functions to model the interaction between localized and delocalized electrons.