To simplify the boundary value problem for an elastic plate, we introduced a stress function that automatically satisfies the equilibrium equations for surface forces.

Astronomers used the new data to refine the galaxy mass function and better understand structure formation.

The engineers compared several stress functions to determine which model best predicted material failure.

In our study, discriminant functions were used to classify patient subtypes based on their gene expression profiles.

The network engineer adjusted the switching functions to optimize data flow between servers.

The control function in the network architecture ensures that sensor data is accurately recorded and transmitted to the processing unit.

In the assignment, we analyzed several real functions to determine their continuity and differentiability.

Advanced simulations require precise computation of correlation functions to compare theoretical predictions with experimental data.

Engineers analyzed the unit functions to optimize system performance.

In elementary number theory, the unit function plays a fundamental role, being the completely multiplicative function equal to one at n=1 and zero for all other positive integers.