Algosim documentation: sinc

sinc

The cardinal sine function.

Syntax

Description

Image 1

The cardinal sine function is defined by

sinc(z) = sin(z) / z

for non-zero z and sinc(0) ≝ 1 to address the removable singularity at the origin, making sinc a continuous function on ℝ and an entire function on ℂ.

Examples

sinc(0)
1
sinc(π/2)
0.636619772368	(=2⋅π⁻¹)
sinc(π)
0
sinc(i)
1.17520119364

See also