The energy is a function of a sum of functions of the separation between an atom and its neighbors.

This is a list of indefinite sums of various functions.

In mathematics, the idea of least squares can be applied to approximating a given function by a weighted sum of other functions.

We know from calculus the sum of continuous functions is continuous.

Periodic zero and one sequences can be expressed as sums of trigonometric functions:

All real world signals can be represented as an infinite sum of sinusoidal functions via a Fourier series.

The idea is that the actual change in the yield curve can be modeled in terms of a sum of such saw-tooth functions.

More complicated equations can sometimes be expressed as the sum of functions of the three variables.

In mathematics and theoretical physics, resummation is a procedure to obtain a finite result from a divergent sum (series) of functions.

A root of the equation can thus be expressed as the sum of at most N 1 hypergeometric functions.