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List of periodic functions information


This is a list of some well-known periodic functions. The constant function f (x) = c, where c is independent of x, is periodic with any period, but lacks a fundamental period. A definition is given for some of the following functions, though each function may have many equivalent definitions.

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List of periodic functions

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This is a list of some well-known periodic functions. The constant function f (x) = c, where c is independent of x, is periodic with any period, but lacks...

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Periodic function

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root of a periodic function (provided it is defined for all x {\displaystyle x} ). One subset of periodic functions is that of antiperiodic functions.[citation...

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Trigonometric functions

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trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled...

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List of mathematical functions

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functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions...

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Triangle wave

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in terms of the amplitude a and period length p by s = ( 4 a ) 2 + p 2 . {\displaystyle s={\sqrt {(4a)^{2}+p^{2}}}.} List of periodic functions Sine wave...

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Periodic table

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The periodic table, also known as the periodic table of the elements, is an ordered arrangement of the chemical elements into rows ("periods") and columns...

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Epicycloid

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\right)=\left(R+r\right)\sin \theta -r\sin \left({\frac {R+r}{r}}\theta \right)} List of periodic functions Cycloid Cyclogon Deferent and epicycle Epicyclic gearing Epitrochoid...

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Square wave

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one to be determined approximately from the other. List of periodic functions Rectangular function Pulse wave Sine wave Triangle wave Sawtooth wave Waveform...

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Hypocycloid

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Tusi couple, Astroid, Deltoid List of periodic functions Cyclogon Epicycloid Hypotrochoid Epitrochoid Spirograph Flag of Portland, Oregon, featuring a...

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Epitrochoid

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Hypotrochoid Spirograph List of periodic functions Rosetta (orbit) Apsidal precession J. Dennis Lawrence (1972). A catalog of special plane curves. Dover...

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Sine and cosine

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functions Euler's formula Generalized trigonometry Hyperbolic function Lemniscate elliptic functions Law of sines List of periodic functions List of trigonometric...

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Spirograph

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Geometric lathe Guilloché Harmonograph Hypotrochoid Lissajous curve List of periodic functions Pantograph Pinion Rose (mathematics) Rosetta (orbit) Spirograph...

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Trochoid

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paradox Brachistochrone Cyclogon Cycloid Epitrochoid Hypotrochoid List of periodic functions Roulette (curve) Spirograph Trochoidal wave Weisstein, Eric W...

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Sawtooth wave

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not present on later sets as the stability of electronic components had improved. List of periodic functions Sine wave Square wave Triangle wave Pulse...

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Hyperbolic functions

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In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just...

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Types of periodic tables

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the periodic law in 1871, and published an associated periodic table of chemical elements, authors have experimented with varying types of periodic tables...

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Cycloid

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considerably. Cyclogon Cycloid gear List of periodic functions Tautochrone curve Cajori, Florian (1999). A History of Mathematics. New York: Chelsea. p...

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Amplitude

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amplitude of a periodic variable is a measure of its change in a single period (such as time or spatial period). The amplitude of a non-periodic signal is...

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Inverse trigonometric functions

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trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric...

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Weierstrass elliptic function

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elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass. This class of functions are also...

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Fourier series

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(/ˈfʊrieɪ, -iər/) is an expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series, but...

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Convolution

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convolved by periodic convolution. (See row 18 at DTFT § Properties.) A discrete convolution can be defined for functions on the set of integers. Generalizations...

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Mathieu function

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In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation d 2 y d x 2 + ( a − 2...

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History of the periodic table

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The periodic table is an arrangement of the chemical elements, structured by their atomic number, electron configuration and recurring chemical properties...

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Exponential function

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e^{x\ln b}} As functions of a real variable, exponential functions are uniquely characterized by the fact that the derivative of such a function is directly...

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Jacobi elliptic functions

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mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum (see also pendulum...

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Window function

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purpose of window functions. The reasons for examining segments of a longer function include detection of transient events and time-averaging of frequency...

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Spectral leakage

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refers to the effect of windowing, which is the product of s(t) with a different kind of function, the window function. Window functions happen to have finite...

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