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Mathematica > Mathematics and Algorithms > Formula Manipulation > Assumptions and Domains > Reals >

Reals

Reals
represents the domain of real numbers, as in .
  • evaluates immediately only if x is a numeric quantity.
  • Simplify 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.
is a real number:
If is a real number, so is :
Find real solutions of an equation:
is a real number:
In[1]:=
Click for copyable input
Out[1]=
 
If is a real number, so is :
In[1]:=
Click for copyable input
Out[1]=
 
Find real solutions of an equation:
In[1]:=
Click for copyable input
Out[1]=
Test domain membership of a numeric expression:
Make domain membership assumptions:
Specify the default domain over which a function should work:
TraditionalForm formatting:
Reals contains Rationals, Integers, and Primes:
Reals is contained in Complexes:
Reals neither contains nor is contained in Algebraics:
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