- element of infinite order
- матем.элемент бесконечного порядка
English-Russian scientific dictionary. 2008.
element of infinite order
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Order (group theory) — This article is about order in group theory. For order in other branches of mathematics, see Order (mathematics). For order in other disciplines, see Order. In group theory, a branch of mathematics, the term order is used in two closely related… … Wikipedia
Order theory — For a topical guide to this subject, see Outline of order theory. Order theory is a branch of mathematics which investigates our intuitive notion of order using binary relations. It provides a formal framework for describing statements such as… … Wikipedia
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Infinite descending chain — Given a set S with a partial order le;, an infinite descending chain is a chain V , that is, a subset of S upon which le; defines a total order, such that V has no least element, that is, an element m such that for all elements n in V it holds… … Wikipedia
Element (mathematics) — In mathematics, an element or member of a set is any one of the distinct objects that make up that set. Contents 1 Sets 2 Notation and terminology 3 Cardinality of sets 4 Exampl … Wikipedia
Infinite loop — This article is about the programming term. For the street on which Apple Inc. s campus is located, see Infinite Loop (street). An infinite loop (also known as an endless loop) is a sequence of instructions in a computer program which loops… … Wikipedia
Order type — In mathematics, especially in set theory, two ordered sets X,Y are said to have the same order type just when they are order isomorphic, that is, when there exists a bijection f: X → Y such that both f and its inverse are monotone (order… … Wikipedia
Order-embedding — In mathematical order theory, an order embedding is a special kind of monotone function, which provides a way to include one partially ordered set into another. Like Galois connections, order embeddings constitute a notion which is strictly… … Wikipedia
Infinite Diversity in Infinite Combination — Dieser Artikel oder Abschnitt ist nicht hinreichend mit Belegen (Literatur, Webseiten oder Einzelnachweisen) versehen. Die fraglichen Angaben werden daher möglicherweise demnächst gelöscht. Hilf Wikipedia, indem du die Angaben recherchierst und… … Deutsch Wikipedia
List of order theory topics — Order theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of ordering, providing a framework for saying when one thing is less than or precedes another. An alphabetical list of many… … Wikipedia
List of first-order theories — In mathematical logic, a first order theory is given by a set of axioms in somelanguage. This entry lists some of the more common examples used in model theory and some of their properties. PreliminariesFor every natural mathematical structure… … Wikipedia
