represents the domain of complex numbers, as in x∈Complexes.
- x∈Complexes evaluates immediately only if x is a numeric quantity.
- Simplify[expr∈Complexes] 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.
- Complexes is output in StandardForm or TraditionalForm as . This typeset form can be input using comps.
Examplesopen allclose all
Basic Examples (3)
Exponential of a complex number is a complex number:
Find complex numbers that make an inequality well defined and True:
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:
Wolfram Research (1999), Complexes, Wolfram Language function, https://reference.wolfram.com/language/ref/Complexes.html (updated 2017).
Wolfram Language. 1999. "Complexes." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2017. https://reference.wolfram.com/language/ref/Complexes.html.
Wolfram Language. (1999). Complexes. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Complexes.html