The hypergeometric function appears frequently in solutions to second-order linear differential equations encountered in mathematical physics.

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

The operating system exposes a restricted function that only the kernel can invoke to manage hardware resources.

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.

To model the motion of a particle in space, we often express its position as a vector function of time.

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.

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.