Smart answer:

Your search for What is a Fourier series returned the following results:

an expansion of a periodic function f(x)

A Fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines.

an infinite series of harmonic sinusoidal components used to represent a periodic function

A Fourier series is an infinite series of harmonic sinusoidal components used to represent a periodic function.

an expansion of a periodic function f (t) in terms of an infinite sum of cosines and

Signals & Systems R. M. Taufika R. Ismail FKEE, UMP Introduction A Fourier series is an expansion of a periodic function f (t) in terms of an infinite sum of cosines and

a periodic function composed of harmonically related sinusoids, combined by a weighted summation

In mathematics, a Fourier series () is a periodic function composed of harmonically related sinusoids, combined by a weighted summation.

Source:

a way to represent complex waves, such as sound, as a series of simple sine waves

A Fourier series is a way to represent complex waves, such as sound, as a series of simple sine waves.

Source:

a sum of this form: where each of the squares () is a different number, and one is adding infinitely many terms.

A Fourier series is a sum of this form: where each of the squares () is a different number, and one is adding infinitely many terms.

Source:

a representation of a periodic function as a sum of orthogonal sinusoids

A Fourier series is a representation of a periodic function as a sum of orthogonal sinusoids, each with an integer number of cycles in the period of the function.

Source:

a way to expand a periodic function in terms of sines and cosines

A Fourier series is a way to expand a periodic function in terms of sines and cosines.

Source:

a way to represent a function as the sum of simple sine waves

In mathematics, a Fourier series is a way to represent a function as the sum of simple sine waves.

Source:

an efficient way to express any function which has repetitive or periodic characteristics

A Fourier series is an efficient way to express any function which has repetitive or periodic characteristics.

Source: