Euler's totient function counts the positive integers less than a given integer that are coprime to it, and it plays a central role in many results in number theory.

I assigned a macro to the programmed function key to automate the repetitive task.

The aircraft's adaptive-control function continuously adjusted the flight parameters to maintain stability during turbulence.

To analyze the system's stability, we measured the feedback transfer function and compared it with the theoretical model.

When analyzing system stability, engineers often compute the forward transfer function to predict the closed-loop response.

In this model, we require a single-valued function so that each input corresponds to exactly one output.

To solve for the angle, you can apply an inverse trigonometric function to the ratio.

To speed up development, the team integrated a mathematical function program into the application to handle complex calculations.

To improve detector accuracy, the team developed a new model for the nuclear response function that predicts scattering patterns at high energies.

To analyze a discrete random variable, we often examine its probability mass function to determine the probability assigned to each possible value.