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Simplifying with Assumptions
Using Assumptions
Equations and Inequalities over Domains
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Element
Simplify
IntegerQ
Reals
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Integers
Integers
represents the domain of integers, as in
x
Integers
.
MORE INFORMATION
x
Integers
evaluates immediately only if
x
is a numeric quantity.
Simplify
[
expr
Integers]
can be used to try to determine whether an expression is an integer.
IntegerQ
[
expr
]
tests only whether
expr
is manifestly an integer (i.e., has head
Integer
).
Integers
is output in
TraditionalForm
as
.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
7 is an integer:
In[1]:=
Out[1]=
If
is an integer, so is
:
In[1]:=
Out[1]=
Find positive integer solutions of a Pell equation:
In[1]:=
Out[1]=
Scope
(5)
Properties & Relations
(3)
SEE ALSO
Element
Simplify
IntegerQ
Reals
Primes
Algebraics
Rationals
Booleans
TUTORIALS
Simplifying with Assumptions
Using Assumptions
Equations and Inequalities over Domains
MORE ABOUT
Assumptions and Domains
Formula Manipulation
Number Recognition
Number Theory
Polynomial Systems
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