Mathematica 9 is now available
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Mathematica > Mathematics and Algorithms > Formula Manipulation > Assumptions and Domains >
Built-in Mathematica SymbolTutorials »|See Also »|More About »

Algebraics

Algebraics
represents the domain of algebraic numbers, as in xElementAlgebraics.
  • Algebraic numbers are defined to be numbers that solve polynomial equations with rational coefficients.
  • xElementAlgebraics evaluates immediately only for quantities x that are explicitly constructed from rational numbers, radicals and Root objects, or are known to be transcendental.
  • Simplify[exprElementAlgebraics] can be used to try to determine whether an expression corresponds to an algebraic number.
EXAMPLESCLOSE ALL
Basic Examples   (4)
An algebraic number:
Pi is not an algebraic number:
The square root of an algebraic number is an algebraic number:
Find algebraic solutions of an equation:
An algebraic number:
In[1]:=
Click for copyable input
Out[1]=
 
Pi is not an algebraic number:
In[1]:=
Click for copyable input
Out[1]=
 
The square root of an algebraic number is an algebraic number:
In[1]:=
Click for copyable input
Out[1]=
 
Find algebraic solutions of an equation:
In[1]:=
Click for copyable input
Out[1]=
Scope   (4)
Test domain membership of a numeric expression:
Make domain membership assumptions:
Specify the default domain for Reduce and Resolve:
TraditionalForm of formatting:
Properties & Relations   (3)
Algebraics is contained in Complexes:
Algebraics neither contains nor is contained in Reals:
Possible Issues   (1)
Some numbers are not yet known to be algebraic or not:
New in 4
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team