represents the domain of non-negative real numbers.
NonNegativeReals
represents the domain of non-negative real numbers.
Details
- x∈NonNegativeReals evaluates immediately if x is a numeric quantity.
- Simplify [expr∈NonNegativeReals,assum] can be used to try to determine whether an expression corresponds to a non-negative real number under the given assumptions.
- (x1|x2|…)∈NonNegativeReals and {x1,x2,…}∈NonNegativeReals test whether all xi are non-negative real numbers.
- NonNegativeReals is output in StandardForm and TraditionalForm as . This typeset form can be input using nnreals.
Examples
open all close allBasic Examples (3)
is a non-negative real number:
If is a real number, then is a non-negative real number:
Find non-negative real solutions of an equation:
Scope (4)
Test if a numeric quantity is non-negative:
Make domain membership assumptions:
Specify the default domain over which a function should work:
Test whether several numbers are non-negative reals:
If any number is explicitly not a non-negative number, the result is False :
Applications (1)
Testing membership in the non-negative reals is a fast way to verify non-negativity of a large list:
Properties & Relations (4)
Membership in NonNegativeReals is equivalent to membership in Reals along with non-negativity:
NonNegativeReals contains NonNegativeRationals and NonNegativeIntegers :
NonNegativeReals is contained in Complexes :
NonNegativeReals is disjoint from NegativeReals :
It intersects NonPositiveReals :
Related Guides
History
Text
Wolfram Research (2019), NonNegativeReals, Wolfram Language function, https://reference.wolfram.com/language/ref/NonNegativeReals.html.
CMS
Wolfram Language. 2019. "NonNegativeReals." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NonNegativeReals.html.
APA
Wolfram Language. (2019). NonNegativeReals. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NonNegativeReals.html
BibTeX
@misc{reference.wolfram_2025_nonnegativereals, author="Wolfram Research", title="{NonNegativeReals}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/NonNegativeReals.html}", note=[Accessed: 16-November-2025]}
BibLaTeX
@online{reference.wolfram_2025_nonnegativereals, organization={Wolfram Research}, title={NonNegativeReals}, year={2019}, url={https://reference.wolfram.com/language/ref/NonNegativeReals.html}, note=[Accessed: 16-November-2025]}