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

In our simulations, electron wave functions interfere in complex ways, affecting the material's conductivity.

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.

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

The engineer compared several loop transfer functions to identify which controller provided the best stability margins.

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

Graduate students often study number-theoretic functions like the Möbius function and Euler's totient to understand the structure of integers.

In the lecture, we compared the moment-generating functions of the two distributions to determine which had heavier tails.

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