periodic function

American  

[peer-ee-od-ik, peer-] / ˈpɪər iˈɒd ɪk, ˌpɪər- /

noun

Mathematics.

1. a function of a real or complex variable that is periodic.

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periodic function British  

/ ˌpɪərɪˈɒdɪk /

noun

1. maths a function, such as sin x, whose value is repeated at constant intervals

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Example Sentences

Internally, Shor’s algorithm evaluates a periodic function on a superposition of all inputs within a wide range; applies a quantum Fourier transform to obtain an approximate superposition of periods of the function; and measures this superposition to find a random period.

From Nature

This periodic function has always been the object of superstition and taboo, and is such even among the civilized peoples of today.

From Project Gutenberg

The first was a study by Dr. A. E. Arnold, as to the effect of school work on the periodic function, and this is reported in the January number of the American Physical Education Review.

From Project Gutenberg

Fourier’s theorem asserts that any periodic function of a single variable period p, which does not become infinite at any phase, can be expanded in the form of a series consisting of a constant term, together with a double series of terms, one set involving cosines and the other sines of multiples of the phase.

From Project Gutenberg

There exists a generalization of another theorem also proved above for doubly periodic functions, namely, that the sum of the values of the argument in one parallelogram of periods for which a doubly periodic function takes a given value is independent of that value; this generalization, known as Abel’s Theorem, is given � 17 below.

From Project Gutenberg