- completeness of real numbers
- 實數的完備性
English-Chinese dictionary. 2013.
completeness of real numbers
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Completeness of the real numbers — Intuitively, completeness implies that there are not any “gaps” (in Dedekind s terminology) or “missing points” in the real number line. This contrasts with the rational numbers, whose corresponding number line has a “gap” at each irrational… … Wikipedia
Construction of the real numbers — In mathematics, there are several ways of defining the real number system as an ordered field. The synthetic approach gives a list of axioms for the real numbers as a complete ordered field. Under the usual axioms of set theory, one can show that … Wikipedia
Real number — For the real numbers used in descriptive set theory, see Baire space (set theory). For the computing datatype, see Floating point number. A symbol of the set of real numbers … Wikipedia
Completeness axiom — In mathematics the completeness axiom, also called Dedekind completeness of the real numbers, is a fundamental property of the set R of real numbers. It is the property that distinguishes R from other ordered fields, especially from the set of… … Wikipedia
Completeness — In general, an object is complete if nothing needs to be added to it. This notion is made more specific in various fields. Contents 1 Logical completeness 2 Mathematical completeness 3 Computing 4 … Wikipedia
real number — /ree euhl, reel/, Math. a rational number or the limit of a sequence of rational numbers, as opposed to a complex number. Also called real. [1905 10] * * * In mathematics, a quantity that can be expressed as a finite or infinite decimal expansion … Universalium
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REAL ID Act — of 2005 Full title To establish and rapidly implement regulations for State driver s license and identification document security standards, to prevent terrorists from abusing the asylum laws of the United States, to unify terrorism related… … Wikipedia
NUMBERS, TYPICAL AND IMPORTANT — Biblical numbers are primarily based on the decimal system, which is of Hamito Egyptian origin. The sexagesimal system, however, which ultimately derives from Sumerian usage, also plays an important role in Scripture, and since 60 is divisible by … Encyclopedia of Judaism
List of real analysis topics — This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods … Wikipedia
List of prime numbers — This is an incomplete list, which may never be able to satisfy particular standards for completeness. You can help by expanding it with reliably sourced entries. By Euclid s theorem, there are an infinite number of prime numbers. Subsets of the… … Wikipedia
