Difference between revisions of "Manuals/calci/SINCP"

Latest revision as of 14:34, 31 January 2019

SINCP(X)

This function shows the value of the cardinal normalized sin function.
In $SINCP(X)$ , $X$ is any real number.
The full name of the function is normalized sine cardinal,but it is commonly referred to by its abbreviation, Sincp.
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 called as SINCP and it is defined by $SINCP(X)=SINC(PI()*X)$ .
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 3: / Line 3: @@
 ==Description==
-*This function shows the value of the cardinal sin function.
+*This function shows the value of the cardinal normalized sin function.
 *In <math>SINCP(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 full name of the function is normalized sine cardinal,but it is commonly referred to by its abbreviation, Sincp.
 *The unnormalized SINC function is defined by :
 <math>SINC(X)=\begin{cases}
@@ Line 14: / Line 14: @@
 *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==
+# SINCP(23) = 8.814971340095828e-17
+# SINCP(-12) = -3.8981718325193755e-17
+# SINCP(45.3) = -0.0056847264326763776
+==Related Videos==
+{{#ev:youtube|v=9sd4DWragBg|280|center|Cardinal Sin}}
+==See Also==
+*[[Manuals/calci/SINC| SINC]]
+*[[Manuals/calci/SIN| SIN]]
+*[[Manuals/calci/SINH| SINH]]
+==References==
+*[https://en.wikipedia.org/wiki/Sinc_function  SinC]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]