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 13:31, 9 May 2017
SINC(X)
- is any real number.
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.