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 | <math>\pi</math>]] and [[e | <math>e</math>]] are transcendental. | + | A '''transcendental number''' is a [[real number | real]] or [[complex number]] that is not a [[root]] of any [[polynomial]] with [[integer|integral]] [[coefficient]]s. Many famous [[constant]]s such as [[pi | <math>\pi</math>]] and [[e | <math>e</math>]] are transcendental. |
Revision as of 11:50, 9 December 2007
A transcendental number is a real or complex number that is not a root of any polynomial with integral coefficients. Many famous constants such as 
and 
are transcendental.
See Also
- The Liouville Approximation Theorem provides one way of showing that certain numbers are transcendental.
- Algebraic number
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