Integers
represents the domain of integers, as in x∈Integers.
Details
- x∈Integers evaluates immediately if x is a numeric quantity.
- Simplify[expr∈Integers,assum] can be used to try to determine whether an expression is an integer under the given assumptions.
- (x1x2…)∈Integers and {x1,x2,…}∈Integers test whether all xi are integers.
- IntegerQ[expr] tests only whether expr is manifestly an integer (i.e. has head Integer).
- Integers is output in StandardForm or TraditionalForm as
![TemplateBox[{}, Integers]](Files/Integers.en/1.png "TemplateBox[{}, Integers]")
. This typeset form can be input using 
ints
.
Examples
open all close allBasic Examples (3)
Scope (7)
Test domain membership of a numeric expression:
Make domain membership assumptions:
Specify the default domain over which a function should work:
Find integer roots of a high-degree polynomial:
Find a representation of an integer as a sum of seven squares:
Solve an optimization problem over the integers:
Test whether several numbers are integers:
If any number is explicitly non-integer, the result is False:
TraditionalForm formatting:
Text
Wolfram Research (1999), Integers, Wolfram Language function, https://reference.wolfram.com/language/ref/Integers.html (updated 2017).
CMS
Wolfram Language. 1999. "Integers." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2017. https://reference.wolfram.com/language/ref/Integers.html.
APA
Wolfram Language. (1999). Integers. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Integers.html