Mathematica > Mathematics and Algorithms > Formula Manipulation > Algebraic Transformations > Algebraic Numbers > IsolatingInterval
Mathematica > Mathematics and Algorithms > Number Theory > Algebraic Number Theory > Algebraic Numbers > IsolatingInterval
Mathematica > Mathematics and Algorithms > Mathematical Functions > Number Theoretic Functions > Algebraic Number Theory > Algebraic Numbers > IsolatingInterval
BUILT-IN MATHEMATICA SYMBOL

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.

DetailsDetails

  • 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.

ExamplesExamplesopen allclose all

Basic Examples (2)Basic Examples (2)

Find an isolating interval of :

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Find an isolating interval of with width less than :

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Check that belongs to and the width of is less than :

In[2]:=
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Out[2]=

Scope (7)Scope (7)

Properties & Relations (2)Properties & Relations (2)

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