Difference between revisions of "Manuals/calci/SINC"

Revision as of 13:35, 9 May 2017

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 :

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

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.

@@ Line 6: / Line 6: @@
 *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
+*The unnormalized SINC function is defined by :
-<math>SINC(X) = \begin{cases}
-& \mbox{for }n\mbox{ x=0} \\
-\frac{Sin x}{x}, & \\mbox{otherwise}
-\end{cases}</math>
 <math>SINC(X)=\begin{cases}
 & for & x=0 \\
- \frac{Sin x}{x} & Otherwise\\
+\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.