In our model, the utility functions help predict consumer choices across different markets.

Graduate students often use Morse functions to analyze the topology of high-dimensional manifolds.

The control engineer compared the transfer functions of the two systems to diagnose the instability.

The mathematician explained how simple functions can approximate more complex measurable functions.

In calculus class, we spent the week learning how to differentiate composite functions using the chain rule.

Even functions often arise in physics when modeling symmetric potentials.

Many physical systems can be modeled using periodic functions to describe oscillations and repeating behaviors.

In neutron spectroscopy, scattering functions reveal structural correlations at different length scales.

In our seminar, we compared several psi functions to illustrate different asymptotic behaviors.

In optimization, penalty functions help enforce constraints by adding large costs to infeasible solutions.