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1 архимедов
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2 архимедов
adj. Archimedean; архимедовски упорядоченный, Archimedean orderedРусско-английский словарь математических терминов > архимедов
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3 архимедов
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4 архимедово упорядоченное пространство
Mathematics: Archimedean ordered spaceУниверсальный русско-английский словарь > архимедово упорядоченное пространство
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5 архимедово упорядоченный
Mathematics: Archimedean orderedУниверсальный русско-английский словарь > архимедово упорядоченный
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6 архимедовски упорядоченный
Mathematics: Archimedean orderedУниверсальный русско-английский словарь > архимедовски упорядоченный
См. также в других словарях:
Non-Archimedean ordered field — In mathematics, a non Archimedean ordered field is an ordered field that does not satisfy the Archimedean property. Examples are the Levi Civita field, the hyperreal numbers, the surreal numbers, the Dehn field, and the field of rational… … Wikipedia
Archimedean property — In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some ordered or normed groups, fields, and other algebraic structures. Roughly speaking, it is… … Wikipedia
Ordered field — In mathematics, an ordered field is a field together with a total ordering of its elements that is compatible with the field operations. Historically, the axiomatization of an ordered field was abstracted gradually from the real numbers, by… … Wikipedia
Archimedean field — In mathematics, an Archimedean field is an ordered field with the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse.In an ordered field F we can define the absolute value of an element x in F in the usual… … Wikipedia
Archimedean group — In abstract algebra, a branch of mathematics, an Archimedean group is an algebraic structure consisting of a set together with a binary operation and binary relation satisfying certain axioms detailed below. We can also say that an Archimedean… … Wikipedia
Archimedean — /ahr keuh mee dee euhn, mi dee euhn/, adj. 1. of, pertaining to, or discovered by Archimedes. 2. Math. of or pertaining to any ordered field, as the field of real numbers, having the property that for any two unequal positive elements there is an … Universalium
Non-Archimedean — In mathematics and physics, non Archimedean refers to something without the Archimedean property. This includes: Ultrametric space notably, p adic numbers Non Archimedean ordered field, namely: Levi Civita field Hyperreal numbers Surreal numbers… … Wikipedia
Cyclically ordered group — In mathematics, a cyclically ordered group is a set with both a group structure and a cyclic order, such that left and right multiplication both preserve the cyclic order. Cyclically ordered groups were first studied in depth by Ladislav Rieger… … Wikipedia
Linearly ordered group — In abstract algebra a linearly ordered or totally ordered group is an ordered group G such that the order relation le; is total. This means that the following statements hold for all a , b , c isin; G :* if a le; b and b le; a then a = b… … Wikipedia
Transfer principle — In mathematics, the transfer principle is a concept in Abraham Robinson s non standard analysis of the hyperreal numbers. It states that any sentence expressible in a certain formal language that is true of real numbers is also true of hyperreal… … Wikipedia
Second-order logic — In logic and mathematics second order logic is an extension of first order logic, which itself is an extension of propositional logic.[1] Second order logic is in turn extended by higher order logic and type theory. First order logic uses only… … Wikipedia