## Smart answer:

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

### an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines

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

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### a series whose terms are composed of trigonometric functions

A Fourier series is a series whose terms are composed of trigonometric functions.

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### an infinite series of sine functions of the form 1/n (sin) nx, where "n" is an integer, and "x" is an angle

A Fourier series is an infinite series of sine functions of the form 1/n (sin) nx, where "n" is an integer, and "x" is an angle.

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### 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

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.

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### 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.

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### 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.

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### an expansion of a periodic function in terms of an infinite sum of sines and cosines

f(x) would not be periodic and it would not work because a Fourier series is an expansion of a periodic function in terms of an infinite sum of sines and cosines.

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### 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

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### 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.

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### a way of representing a periodic function as a (possibly infinite) sum of sine and cosine functions

A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine and cosine functions.

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