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'transcendental number'
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| Title of object: |
transcendental number |
| Canonical Name: |
TranscedentalNumber |
| Type: |
Definition |
| Created on: |
2001-11-04 06:31:04 |
| Modified on: |
2005-02-28 09:43:42 |
| Classification: |
msc:11J81, msc:11J82 |
Revision comment (for changes between this and next version):
| revamping (including correction #13309) |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic} |
Content:
A \emph{transcendental number} is a complex number that is not an algebraic number. The most famous transcendental numbers are $\pi$ and $e$ (the natural log base.)
Cantor showed that, in a sense, ``almost all'' numbers are transcendental, because the algebraic numbers are countable, whereas the transcendental numbers are not. |
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