# Difference between revisions of "Manuals/calci/SINC"

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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} | ||

+ | 1 & \mbox{for }n\mbox{ x=0} \\ | ||

+ | \frac{Sin x}{x}, & \\mbox{otherwise} | ||

+ | \end{cases}</math> | ||

+ | *The normalized SINC function is defined by <math>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. |

## Revision as of 14:31, 9 May 2017

**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 <math>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.