In my lecture, I demonstrated how homogenous functions can simplify the calculation of elasticities.

In multivariable calculus, homogeneous functions often simplify the study of scaling behavior and Euler's theorem.

In our lecture, we studied continuous functions on compact intervals and their properties.

Researchers compared the predictive performance of different logistic functions on the classification task.

The two modules have complementary functions that ensure the system runs smoothly.

Some entire functions grow so rapidly that their zeros and critical points form intricate patterns across the complex plane.

In advanced physics courses, students often study special functions such as Bessel and Legendre functions.

Bloch functions are essential for understanding electron band structure in periodic crystals.

In our experiments, sigmoid functions improved stability when modeling biological dose-response curves.

In advanced statistics, trigamma functions often appear when estimating the variance of maximum likelihood estimators.