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

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

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

In the advanced calculus seminar, we analyzed several logarithmic trigonometric functions to understand their asymptotic behavior.

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

The engineers compared the forward transfer functions of the two amplifiers to diagnose instability.

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

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

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

The clinical team discussed the patient's executive ego functions during the case review.