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7.4.4  Modulus and argument of a complex number

A complex number z can be written in polar form reiθ, where r is the modulus and θ is the argument. The angle θ is only determined up to a multiple of 2π; there will be a unique value in the interval (−π,π], the value in this interval is called the principal value of the argument.

The abs and arg commands find the modulus and argument of a complex number, respectively (see also Section 8.3.2).

Examples

abs(3+4*i)
     
5           
arg(3+4*i)
     
arctan


4
3



          
arg(3.0+4.0*i)
     
0.927295218002           

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