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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]=Ï€ In[2]:=Arg[1 + I] Out[2]=Ï€/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

    ArcTan | Sign | Abs | AbsArg | Im | Re | Conjugate | ToPolarCoordinates

    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

    Timeline

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