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Sinc

Sinc[z]
gives

MORE INFORMATION

Mathematical function, suitable for both symbolic and numerical manipulation.

The argument of Sinc is assumed to be in radians. (Multiply by Degree to convert from degrees.)

Sinc[z] is equivalent to Sin[z]/z for , but is 1 for .

For certain special arguments, Sinc automatically evaluates to exact values.

Sinc can be evaluated to arbitrary numerical precision.

Sinc automatically threads over lists.

EXAMPLES

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Basic Examples (3)

The argument is given in radians:

Plot

Find Fourier transform of Sinc:

The argument is given in radians:

Plot

Find Fourier transform of Sinc:

In[1]:=

Out[1]=

Scope (4)

Evaluate numerically:

Evaluate for complex numbers:

Sinc threads element-wise over lists:

TraditionalForm formatting:

Generalizations & Extensions (2)

Sinc can be applied to a power series:

Sinc can be applied to real-valued intervals:

Applications (3)

Single-slit diffraction pattern for a 4

slit:

Sinc-filtered Cauchy distribution:

A sinc signal is unaltered by sinc filter:

Properties & Relations (2)

Use FunctionExpand to expand expressions involving Sinc:

Use FullSimplify to simplify expressions involving Sinc:

Possible Issues (1)

Non-trivial minima and maxima of Sinc do not have ordinary closed forms:

Find numerical approximations:

Neat Examples (1)

A surprising sequence: