periodic function

collocation in English

meaningsofperiodicandfunction

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withfunction.
periodic
adjective
uk
/ˌpɪə.riˈɒd.ɪk/us
/ˌpɪr.iˈɑː.dɪk/
happening repeatedly over a period ...
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function
noun
uk
/ˈfʌŋk.ʃən/us
/ˈfʌŋk.ʃən/
the natural purpose (of something) or the duty (of ...
See more atfunction

(Definition ofperiodicandfunctionfrom theCambridge English Dictionary© Cambridge University Press)

Examplesofperiodic function

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
A weak_round operation, for example, can be used to reduce an argument to aperiodicfunctionto its primary domain.
From theCambridge English Corpus
Every almostperiodicfunctionis almost automorphic, but the converse does not hold in general.
From theCambridge English Corpus
However, the term periodic has its firm footing in the mathematical definition of aperiodicfunction, whereas repeatability and repeatability conditions require certain explanation.
From theCambridge English Corpus
Indeed, it is clear that the absolute square of the eigenfunction is actually aperiodicfunctionof with unit period.
From theCambridge English Corpus
The angle of rotation is a linear function of time, which modulo 360 is aperiodicfunction.
From
Wikipedia
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A simple example of aperiodicfunctionis the function "f" that gives the fractional part of its argument.
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But the same spectral information can be discerned from just one cycle of theperiodicfunction, since all the other cycles are identical.
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It is different from the mathematical concept of an almostperiodicfunction, which has increasing regularity over multiple periods.
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It is an odd function, and satisfies the functional equation; consequently is an oddperiodicfunctionwith period one.
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The doublyperiodicfunctionis thus a two-dimensional extension of the simpler singlyperiodicfunction, which repeats itself in a single dimension.
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Anyperiodicfunctioncan substitute the sinusoid in this definition.
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These functions are not exactly periodic, but they are arbitrarily close in some sense, as well as being a projection of an exactlyperiodicfunction.
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A possible way out is to define aperiodicfunctionon a bounded but periodic domain.
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The mathematical representation of the potential is aperiodicfunctionwith a period.
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The "smallest" positive period of aperiodicfunctionis called the "primitive period" of the function.
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Geometrically, aperiodicfunctioncan be defined as a function whose graph exhibits translational symmetry.
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It will be seen that the analysis involves periodic functions of x which have a period of 1 ('unit periodic' functions).
From theCambridge English Corpus
The matrix elements are all readily calculated, bounded periodic functions of u, and decay quite rapidly with respect to their suffixes.
From theCambridge English Corpus
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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