Difference between revisions of "Transcendental number"

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A '''transcendental  number''' is a number that is not a [[root]] of any [[polynomial]] with [[integer|integral]] [[coefficient]]s.  Many famous [[constants]] such as [[pi | ''π'']] and [[e | ''e'']] are transcendental.
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A '''transcendental  number''' is a number that is not a [[root]] of any [[polynomial]] with [[integer|integral]] [[coefficient]]s.  Many famous [[constant]]s such as [[pi | ''π'']] and [[e | ''e'']] are transcendental.
  
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== See Also ==
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* The [[Rational_approximation#Liouville_Approximation_Theorem | Liouville Approximation Theorem]] provides one way of showing that certain numbers are transcendental.
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* [[Algebraic number]]

Revision as of 15:53, 26 July 2006

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A transcendental number is a number that is not a root of any polynomial with integral coefficients. Many famous constants such as π and e are transcendental.


See Also