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Complexes

Complexes
represents the domain of complex numbers, as in xElementComplexes.
  • xElementComplexes evaluates immediately only if x is a numeric quantity.
  • Simplify[exprElementComplexes] 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.
EXAMPLESCLOSE ALL
Basic Examples   (3)
ⅇ^(ⅈ sin(7)) is a complex number:
Exponential of a complex number is a complex number:
Find complex numbers that make an inequality well defined and True:
ⅇ^(ⅈ sin(7)) is a complex number:
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Exponential of a complex number is a complex number:
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Find complex numbers that make an inequality well defined and True:
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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:
TraditionalForm of formatting:
Properties & Relations   (2)
Infinite quantities are not considered part of the Complexes:
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