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Amplitude of a Function

Usage

Arg[z] gives the argument of the complex number z.

Basic examples

The result is given in radians:
In[1]:=Arg[-1]
Out[1]=π
In[2]:=Arg[1 + I]
Out[2]=π/4
Plot over a subset of the reals:
In[1]:=Plot[Arg[x], {x, -3, 3}]
Out[1]=
Plot over a subset of the complexes:
In[1]:=ComplexPlot3D[Arg[z], {z, -2 - 2I, 2 + 2I}, PlotLegends->Automatic]
Out[1]=

Attributes

Listable | NumericFunction | Protected

Relationships with other entities

Relationships with other entities

Typical ranks of usage in programs

135th most common (1 in 3170 symbols)

386th most common (1 in 15400 symbols)

517th most common (1 in 8050 symbols)

History

introduced in Version 1 (June 1988)
last modified in Version 13 (December 2021)

Timeline

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