Discrete

Discrete

Discrete

Properties The underlying uniformity on a discrete metric space is the discrete uniformity, and the underlying topology on a discrete uniform space is the discrete topology.

The DTFT itself is a continuous function of frequency, but discrete samples of it can be readily calculated via the discrete Fourier transform (DFT) (see Sampling the DTFT), which is by far the most common method of modern Fourier analysis.

Form is function. Form is function.

Obviously, this is not the discrete metric also, this space is not complete and hence not discrete as a uniform space.

The quotient of an even function and an odd function is an odd function.

Function

Function

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Function

Function

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The same result holds in the discrete case.

Nevertheless, it is discrete as a topological space.

References R. N. Bracewell, Discrete Hartley transform, J. Opt.

Function type

Function macro

Function group

Called function

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