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Simplifying with Assumptions
Using Assumptions
Equations and Inequalities over Domains
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Simplify
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Reals
Reals
represents the domain of real numbers, as in
x
Reals
.
MORE INFORMATION
x
Reals
evaluates immediately only if
x
is a numeric quantity.
Simplify
[
expr
Reals]
can be used to try to determine whether an expression corresponds to a real number.
Within
Simplify
and similar functions, objects that satisfy inequalities are always assumed to be real.
Reals
is output in
TraditionalForm
as
.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
is a real number:
In[1]:=
Out[1]=
If
x
is a real number, so is
:
In[1]:=
Out[1]=
Find real solutions of an equation:
In[1]:=
Out[1]=
Scope
(4)
Properties & Relations
(3)
SEE ALSO
Element
Simplify
Real
Integers
Complexes
Algebraics
ComplexExpand
PowerExpand
TUTORIALS
Simplifying with Assumptions
Using Assumptions
Equations and Inequalities over Domains
MORE ABOUT
Assumptions and Domains
Formula Manipulation
Number Theory
Polynomial Systems
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