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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Polynomial Algebra
>
Polynomial Systems
>
Built-in
Mathematica
Symbol
The Representation of Solution Sets
Tutorials »
|
FindInstance
Reduce
CylindricalDecomposition
GenericCylindricalDecomposition
See Also »
|
Polynomial Systems
New in 6.0: Symbolic Computation
More About »
SemialgebraicComponentInstances
SemialgebraicComponentInstances
[
ineqs
, {
x
1
,
x
2
,
...
}]
gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities
ineqs
in the variables
x
1
,
x
2
,
...
.
MORE INFORMATION
SemialgebraicComponentInstances
assumes that all variables are real.
Lists or logical combinations of inequalities can be given.
Any solution to the set of inequalities can be connected by a continuous path to one of the points returned by
SemialgebraicComponentInstances
.
SemialgebraicComponentInstances
produces a list of rules for variables, of the same type as
Solve
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Find at least one sample point in each distinct component:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(3)
Applications
(4)
Properties & Relations
(2)
SEE ALSO
FindInstance
Reduce
CylindricalDecomposition
GenericCylindricalDecomposition
TUTORIALS
The Representation of Solution Sets
MORE ABOUT
Polynomial Systems
New in 6.0: Symbolic Computation
New in 6