Difference between revisions of "Periodic function"

 
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We say that a single-variable [[function]] <math>f</math> is '''periodic''' with period <math>p</math> if for all <math>x</math>, <math>f(x + p) = f(x)</math>. The most common examples of periodic functions are the [[trigonometric function]]s [[sine]] and [[cosine]], which are periodic with period <math>2\pi</math>.
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We say that a single-variable [[function]] <math>f</math> is '''periodic''' with period <math>p</math> if for all <math>x</math>, <math>f(x + p) = f(x)</math>. The most common examples of periodic functions are the [[trigonometric function]]s, such as [[sine]] and [[cosine]] (and their [[reciprocal function]]s [[cosecant]] and [[secant (trigonometry)|secant]], respectively), which are periodic with period <math>2\pi</math>.
  
 
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Revision as of 14:55, 3 March 2007

We say that a single-variable function $f$ is periodic with period $p$ if for all $x$, $f(x + p) = f(x)$. The most common examples of periodic functions are the trigonometric functions, such as sine and cosine (and their reciprocal functions cosecant and secant, respectively), which are periodic with period $2\pi$.

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