Complex Numbers

You can enter complex numbers in the Wolfram Language just by including the constant I, equal to . Make sure that you type a capital I.

If you are using notebooks, you can also enter I as by typing EsciiEsc (see "Mathematical Notation in Notebooks: Numerical Calculations"). The form is normally what is used in output. Note that an ordinary i means a variable named , not .

This gives the imaginary number result :
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This gives the ratio of two complex numbers:
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Here is the numerical value of a complex exponential:
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x+I ythe complex number
Re[z]real part
Im[z]imaginary part
Conjugate[z]complex conjugate or
Abs[z]absolute value
Arg[z]the argument in

Complex number operations.