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Sinc

Sinc[z]
gives .
  • 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.
The argument is given in radians:
Plot :
Find Fourier transform of Sinc:
The argument is given in radians:
In[1]:=
Click for copyable input
Out[1]=
 
Plot :
In[1]:=
Click for copyable input
Out[1]=
 
Find Fourier transform of Sinc:
In[1]:=
Click for copyable input
Out[1]=
Evaluate numerically:
Evaluate for complex numbers:
Sinc threads element-wise over lists:
TraditionalForm formatting:
Sinc can be applied to a power series:
Sinc can be applied to real-valued intervals:
Single-slit diffraction pattern for a slit:
Sinc-filtered Cauchy distribution:
A sinc signal is unaltered by sinc filter:
Use FunctionExpand to expand expressions involving Sinc:
Use FullSimplify to simplify expressions involving Sinc:
Non-trivial minima and maxima of Sinc do not have ordinary closed forms:
Find numerical approximations:
A surprising sequence:
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