- property of being Archimedean
- Техника: архимедовость
Универсальный англо-русский словарь. Академик.ру. 2011.
property of being Archimedean
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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
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
Real closed field — In mathematics, a real closed field is a field F in which any of the following equivalent conditions are true:#There is a total order on F making it an ordered field such that, in this ordering, every positive element of F is a square in F and… … Wikipedia
Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… … Wikipedia
combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… … Universalium
epistemology — epistemological /i pis teuh meuh loj i keuhl/, adj. epistemologically, adv. epistemologist, n. /i pis teuh mol euh jee/, n. a branch of philosophy that investigates the origin, nature, methods, and limits of human knowledge. [1855 60; < Gk… … Universalium
science, philosophy of — Branch of philosophy that attempts to elucidate the nature of scientific inquiry observational procedures, patterns of argument, methods of representation and calculation, metaphysical presuppositions and evaluate the grounds of their validity… … Universalium
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
analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… … Universalium
mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… … Universalium
Axiom of Archimedes — The axiom of Archimedes can be stated in modern notation as follows: Let x be any real number. Then there exists a natural number n such that n > x. In field theory this statement is called the Axiom of Archimedes. The same name is also applied… … Wikipedia
