This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# Complexes

 Complexesrepresents the domain of complex numbers, as in .
• evaluates immediately only if x is a numeric quantity.
• Simplify can be used to try to determine whether an expression corresponds to a complex number.
• The domain of real numbers is taken to be a subset of the domain of complex numbers.
is a complex number:
Exponential of a complex number is a complex number:
Find complex numbers that make an inequality well defined and True:
is a complex number:
 Out[1]=

Exponential of a complex number is a complex number:
 Out[1]=

Find complex numbers that make an inequality well defined and True:
 Out[1]=
 Scope   (2)
Specify that all variables should be considered complex, even if they appear in inequalities:
By default, Reduce considers all variables that appear in inequalities to be real:
For every real number y there exists a complex number whose square is real and less than y:
By default, Resolve considers all variables that appear in inequalities to be real: