Difference between revisions of "Manuals/calci/SINC"

Latest revision as of 14:33, 31 January 2019

SINC(X)

This function shows the value of the cardinal sin function.
In $SINC(X)$ , $X$ 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 :

$SINC(X)={\begin{cases}1&forx=0\\{\frac {Sinx}{x}}&Otherwise\\\end{cases}}$

The normalized SINC function is defined by $SINC(X)={\frac {SIN\pi x}{\pi x}}$ .
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.

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-SINC
+<div style="font-size:30px">'''SINC(X)'''</div><br/>
+*<math>X</math> is any real number.
+==Description==
+*This function shows the value of the cardinal sin function.
+*In <math>SINC(X)</math>, <math>X</math> 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 :
+<math>SINC(X)=\begin{cases}
+& for  x=0 \\
+\frac{Sin x}{x} & Otherwise\\
+\end{cases}</math>
+*The normalized SINC function is defined by <math>SINC(X)= \frac{SIN\pi x}{\pi x}</math> .
+*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==
+#SINC(9) = 0.04579094280463962
+#SINC(-34) = 0.015561255474118348
+#SINC(-51.7) = 0.019163025320677915
+==Related Videos==
+{{#ev:youtube|v=9sd4DWragBg|280|center|Cardinal Sin}}
+==See Also==
+*[[Manuals/calci/SIN| SIN]]
+*[[Manuals/calci/SINH| SINH]]
+*[[Manuals/calci/ASINH| ASINH]]
+==References==
+*[https://en.wikipedia.org/wiki/Sinc_function  SinC]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]