When modeling complex systems, we often rely on explicit functions to describe direct relationships between variables.

The research group published a comprehensive survey on elliptic functions and their applications in number theory.

Please ensure that the function codes are updated before the next deployment.

In formal logic, propositional functions map objects to propositions and serve as the building blocks of predicate calculus.

In my calculus class, polynomial functions were used to approximate complex curves.

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

In propositional logic, truth functions determine whether complex statements are true based on the truth values of their components.

Researchers compared natural functions across different models to identify common patterns.

For our fuzzy inference system, tuning the membership functions carefully improved prediction accuracy on noisy datasets.

In the course, we learned how to construct orthogonal functions to solve boundary-value problems.