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Appendix: Existence and Uniqueness of a Complete Ordered Field (m36243)
Keywords: associative, commutative, Dedekind cut, distributive over addition, equivalent, isomorphism, less than or equal
Summary: This appendix is devoted to the proofs of Theorems 1 and 2 in "The Real and Complex Numbers: The Real Numbers," which together assert that there exists a unique complete ordered field. Our construction of this field will follow the ideas of Dedekind, which he presented in the late 1800's.
Subject: Mathematics and Statistics
Language: English
Popularity: 30.25%
Revised: 2010-12-09
Revisions: 2
Gram equivalent concept (m16800)
Keywords: equivalent, gram, mole, normality
Language: English
Popularity: 98.93%
Revised: 2008-07-04
Revisions: 6
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