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Built-in
Mathematica
Symbol
Root Isolation
Tutorials »
|
RootIntervals
FindRoot
See Also »
|
Algebraic Numbers
Algebraic Number Theory
Polynomial Equations
New in 6.0: Symbolic Computation
More About »
IsolatingInterval
IsolatingInterval
[
a
]
gives a rational isolating interval for the algebraic number
a
.
IsolatingInterval
[
a
,
dx
]
gives an isolating interval of width at most
dx
.
MORE INFORMATION
IsolatingInterval
[
a
]
gives an interval that does not contain any other root with the same minimal polynomial as
a
.
If
a
is complex,
IsolatingInterval
[
a
]
gives a pair of Gaussian rationals defining an isolating rectangle in the complex plane.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Find an isolating interval of
:
In[1]:=
Out[1]=
Find an isolating interval of
with width less than
:
In[1]:=
Out[1]=
Check that
belongs to
[
a
,
b
]
and the width of
[
a
,
b
]
is less than
:
In[2]:=
Out[2]=
Scope
(7)
Properties & Relations
(2)
SEE ALSO
RootIntervals
FindRoot
TUTORIALS
Root Isolation
MORE ABOUT
Algebraic Numbers
Algebraic Number Theory
Polynomial Equations
New in 6.0: Symbolic Computation
New in 6