completeness
mathematics
Learn about this topic in these articles:
- real number
…the important mathematical property of completeness, meaning that every nonempty set that has an upper bound has a smallest such bound, a property not possessed by the rational numbers. For example, the set of all rational numbers the squares of which are less than 2 has no smallest upper bound,…
Read More…the important mathematical property of completeness, meaning that every nonempty set that has an upper bound has a smallest such bound, a property not possessed by the rational numbers. For example, the set of all rational numbers the squares of which are less than 2 has no smallest upper bound,…
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analysisProperties of the real numbers…captured by the concept of completeness.
Read More…captured by the concept of completeness.
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