In the calculus of variations, the critical function must satisfy the Euler equations to be considered an extremum.

The derivative being nonnegative on the interval implies the original function is an increasing function, though it may be constant on subintervals.

The professor provided a function table to help students compute values at selected inputs.

In our lecture, the professor defined the incidence function as the map that assigns to each edge the unordered pair of its endpoint vertices.

In many signal processing problems, the impulse function is used to model an idealized instantaneous event and simplify convolution calculations.

If the line function responsible for order fulfillment goes down, customers will notice delays and revenue will drop.

The engineer tested the inverting function on the prototype to ensure it reliably flipped the signal's phase.

The professor explained why the integral function cannot have essential singularities.

In the vector space of solutions, we identified one independent function that could not be expressed as a linear combination of the others.

During the lecture, the professor highlighted that an integrable function can still have infinitely many discontinuities.