Wolfram Language & System 10.0 (2014)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.View current documentation (Version 11.2)

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 means a variable named , not .

This gives the imaginary number result .
In[1]:=
Click for copyable input
Out[1]=
This gives the ratio of two complex numbers.
In[2]:=
Click for copyable input
Out[2]=
Here is the numerical value of a complex exponential.
In[3]:=
Click for copyable input
Out[3]=
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.