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 [[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 14:53, 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
- The Liouville Approximation Theorem provides one way of showing that certain numbers are transcendental.