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Created page with "{{particular function}} {{angular function radian convention}} ==Definition== This function, denoted <math>\operatorname{sinc}</math>, is defined as follows: <math>\operatorn..."

{{particular function}}

{{angular function radian convention}}

==Definition==

This function, denoted <math>\operatorname{sinc}</math>, is defined as follows:

<math>\operatorname{sinc} x := \left\lbrace \begin{array}{rl} 1, & x = 0 \\ \frac{\sin x}{x} & x \ne 0\end{array}\right.</math>

==Graph==

Below is a graph of the function for the domain restricted to <math>[-3\pi,3\pi]</math>:

[[File:Sincfunctionbasic.png|600px]]

The picture is a little unclear, so we consider an alternative depiction of the graph where the <math>x</math>-axis and <math>y</math>-axis are scaled differently to make it clearer:

[[File:Sincfunctionbasicnottoscale.png|800px]]

{{angular function radian convention}}

==Definition==

This function, denoted <math>\operatorname{sinc}</math>, is defined as follows:

<math>\operatorname{sinc} x := \left\lbrace \begin{array}{rl} 1, & x = 0 \\ \frac{\sin x}{x} & x \ne 0\end{array}\right.</math>

==Graph==

Below is a graph of the function for the domain restricted to <math>[-3\pi,3\pi]</math>:

[[File:Sincfunctionbasic.png|600px]]

The picture is a little unclear, so we consider an alternative depiction of the graph where the <math>x</math>-axis and <math>y</math>-axis are scaled differently to make it clearer:

[[File:Sincfunctionbasicnottoscale.png|800px]]