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»
Mathematica
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Mathematics and Algorithms
>
Formula Manipulation
>
Assumptions and Domains
>
Rationals
>
BUILT-IN MATHEMATICA SYMBOL
Using Assumptions
Tutorials »
|
Element
Simplify
Algebraics
Integers
Rational
Denominator
See Also »
|
Assumptions and Domains
Number Recognition
Number Theory
More About »
Rationals
Rationals
represents the domain of rational numbers, as in
.
MORE INFORMATION
evaluates immediately only if
x
is a numeric quantity.
Simplify
can be used to try to determine whether an expression corresponds to a rational number.
The domain of integers is taken to be a subset of the domain of rationals.
Rationals
is output in
TraditionalForm
as
.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
is a rational number:
A sum of rational numbers is a rational number:
Find rational solutions of an equation:
is a rational number:
In[1]:=
Out[1]=
A sum of rational numbers is a rational number:
In[1]:=
Out[1]=
Find rational solutions of an equation:
In[1]:=
Out[1]=
Scope
(4)
Test domain membership of a numeric expression:
Make domain membership assumptions:
Specify the default domain over which
Reduce
should work:
TraditionalForm
formatting:
Properties & Relations
(2)
Rationals
contains
Integers
and
Primes
:
Rationals
is contained in
Complexes
,
Reals
, and
Algebraics
:
SEE ALSO
Element
Simplify
Algebraics
Integers
Rational
Denominator
TUTORIALS
Using Assumptions
MORE ABOUT
Assumptions and Domains
Number Recognition
Number Theory
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