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Mathematics-Online course: Basic Mathematics - Real Numbers | ||

## Total Order of Real Numbers |

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Real numbers can be compared (on the real line) with the order relation. For we define

Positive real numbers are denoted by

Real numbers are complete with respect to the order relation. This means that for every bounded set of real numbers there exists a least upper bound (supremum) and a greatest lower bound (infimum) in .

(Authors: Höllig/Kimmerle/Abele)

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automatically generated 10/31/2008 |