Difference between revisions of "Manuals/calci/SINC"

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SINC
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<div style="font-size:30px">'''SINC(X)'''</div><br/>
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*<math>X</math> is any real number.
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==Description==
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*This function shows the value of the cardinal sin function.
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*In <math>SINC(X)</math>, <math>X</math> is any real number.
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*The full name of the function is sine cardinal,but it is commonly referred to by its abbreviation, Sinc.
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*The unnormalized SINC function is defined by :
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<math>SINC(X)=\begin{cases}
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1 & for  x=0 \\
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\frac{Sin x}{x} & Otherwise\\
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\end{cases}</math>
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*The normalized SINC function is defined by <math>SINC(X)= \frac{SIN\pi x}{\pi x}</math> .
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*The value at x = 0 is defined to be the limiting value Sinc(0) = 1.
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*The only difference between the two definitions is in the scaling of the independent variable (the x-axis) by a factor of π.
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==Examples==
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#SINC(9) = 0.04579094280463962
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#SINC(-34) = 0.015561255474118348
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#SINC(-51.7) = 0.019163025320677915
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==Related Videos==
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{{#ev:youtube|v=9sd4DWragBg|280|center|Cardinal Sin}}
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==See Also==
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*[[Manuals/calci/SIN| SIN]]
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*[[Manuals/calci/SINH| SINH]]
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*[[Manuals/calci/ASINH| ASINH]]
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==References==
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*[https://en.wikipedia.org/wiki/Sinc_function  SinC]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 15:33, 31 January 2019

SINC(X)


  • is any real number.

Description

  • This function shows the value of the cardinal sin function.
  • In , is any real number.
  • The full name of the function is sine cardinal,but it is commonly referred to by its abbreviation, Sinc.
  • The unnormalized SINC function is defined by :

  • The normalized SINC function is defined by .
  • The value at x = 0 is defined to be the limiting value Sinc(0) = 1.
  • The only difference between the two definitions is in the scaling of the independent variable (the x-axis) by a factor of π.

Examples

  1. SINC(9) = 0.04579094280463962
  2. SINC(-34) = 0.015561255474118348
  3. SINC(-51.7) = 0.019163025320677915

Related Videos

Cardinal Sin

See Also

References