Difference between revisions of "Manuals/calci/SINCP"
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\frac{Sin x}{x} & Otherwise\\ | \frac{Sin x}{x} & Otherwise\\ | ||
\end{cases}</math> | \end{cases}</math> | ||
| − | *The normalized SINC function is called as SINCP and it is defined by <math>SINCP(X)= | + | *The normalized SINC function is called as SINCP and it is defined by <math>SINCP(X)= SINC(PI()*X)</math>. |
*The value at x = 0 is defined to be the limiting value Sinc(0) = 1. | *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. | *The only difference between the two definitions is in the scaling of the independent variable (the x-axis) by a factor of π. | ||
Revision as of 14:06, 15 May 2018
SINCP(X)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X} is any real number.
Description
- This function shows the value of the cardinal sin function.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle SINCP(X)} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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 :
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle SINC(X)=\begin{cases} 1 & for x=0 \\ \frac{Sin x}{x} & Otherwise\\ \end{cases}}
- The normalized SINC function is called as SINCP and it is defined by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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.