Complexes
represents the domain of complex numbers, as in x∈Complexes.
Details
- 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
![TemplateBox[{}, Complexes]](Files/Complexes.en/1.png "TemplateBox[{}, Complexes]")
. This typeset form can be input using 
comps
.
Examples
open all close allBasic Examples (3)
Exponential of a complex number is a complex number:
Find complex numbers that make an inequality well defined and True:
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:
Text
Wolfram Research (1999), Complexes, Wolfram Language function, https://reference.wolfram.com/language/ref/Complexes.html (updated 2017).
CMS
Wolfram Language. 1999. "Complexes." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2017. https://reference.wolfram.com/language/ref/Complexes.html.
APA
Wolfram Language. (1999). Complexes. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Complexes.html