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Line 2:
<math>
\operatorname{sinc} \left( x \right) = \frac{sin \left( x \right)}{x}
</math>
Line 8:
<math>
\operatorname{sinc} \left( x \right) = \frac{sin \left( \pi x \right)}{\pi x}
</math>
It has a [[removable singularity]] at the origin. Sinc(0)=1, despite the division by zero.
The sinc [[function (mathematics)|function]] [[oscillation|oscillates]] with decreasing [[amplitude]]. Applications of the sinc function are found in [[communication theory]], [[control theory]], and [[optics]].
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