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.

Monitoring the patient's vital functions every hour allowed the medical team to detect complications early.

Graduate students spent the semester analyzing the stability and bifurcations of quintic functions arising in fluid dynamics models.

My students struggled to visualize the graphs of quartic functions during the calculus review.

When analyzing sales data, it's important to choose the right aggregate functions to summarize trends accurately.

When designing the class hierarchy, remember to declare virtual functions in the base class so derived classes can override behavior.

In advanced mechanics, Lagrangian functions provide a concise way to derive the equations of motion for complex systems.

Recent papers on theta functions explore their role in string theory and arithmetic geometry.