NonNegativeIntegers
represents the domain of non-negative integers, as in x∈NonNegativeIntegers.
Details
- x∈NonNegativeIntegers evaluates immediately if x is a numeric quantity.
- Simplify[expr∈NonNegativeIntegers,assum] can be used to try to determine whether an expression is a non-negative integer under the given assumptions.
- (x1x2…)∈NonNegativeIntegers and {x1,x2,…}∈NonNegativeIntegers test whether all xi are non-negative integers.
- NonNegativeIntegers is output in StandardForm or TraditionalForm as
![TemplateBox[{}, NonNegativeIntegers]](Files/NonNegativeIntegers.en/1.png "TemplateBox[{}, NonNegativeIntegers]")
. This typeset form can be input using 
nnints
.
Examples
open all close allBasic Examples (3)
Scope (6)
Test domain membership of a numeric expression:
Make domain membership assumptions:
Specify the default domain over which a function should work:
Solve an optimization problem over the non-negative integers:
Test whether several numbers are non-negative integers:
If any number is explicitly not a non-negative integer, the result is False:
TraditionalForm formatting:
Applications (1)
Properties & Relations (3)
Membership in NonNegativeIntegers is equivalent to membership in Integers and non-negativity:
NonNegativeIntegers is contained in NonNegativeReals and NonNegativeRationals:
NonNegativeIntegers is disjoint from NegativeIntegers:
It intersects NonPositiveIntegers:
Text
Wolfram Research (2019), NonNegativeIntegers, Wolfram Language function, https://reference.wolfram.com/language/ref/NonNegativeIntegers.html.
CMS
Wolfram Language. 2019. "NonNegativeIntegers." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NonNegativeIntegers.html.
APA
Wolfram Language. (2019). NonNegativeIntegers. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NonNegativeIntegers.html