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

partition functions provide a compact way to encode the statistical properties of a system and to compute thermodynamic quantities like free energy.

The distribution function f(x,y,z,t,u,v,w) is central to modeling particle dynamics in a seven-dimensional phase space.

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

Many combinatorialists rely on generating functions to encode sequences and derive closed-form formulas.

In advanced statistics, error functions are used to model the cumulative distribution of Gaussian noise.

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

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

In the lecture, the professor compared several distribution functions to show how different random variables accumulate probability.

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