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1 elementary relation
Математика: элементарное отношение -
2 elementary relation
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3 relation
1) зависимость, (взаимо)связь2) отношение; соотношение4) геол. условия залегания•- almost universal relation - cause-effect relation - generalized semigroup relation - logically irreducible relation - parametrically definable relation - partial ordering relation - recursively enumerable relation - recursively invariant relation - recursively representable relation - strongly definable relation - weakly symmetric relation -
4 элементарное отношение
Большой англо-русский и русско-английский словарь > элементарное отношение
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5 set
1) набор; комплект- semiconductor assembly set - set of Belleville springs - set of conventional set - set of drawing instruments - set of gate patterns - set of gauge blocks - set of logical elements - set of statistical data - set of technical aids- snap set2) партия3) совокупность; множество4) установка; агрегат- desk telephone set - dial telephone set- gear set- local-battery telephone set - man-pack radio set - multi-operator welding set - sound-powered telephone set - wall telephone set5) регулировка; настройка || регулировать; настраивать6) группа; ансамбль7) класс; семейство9) схватывание || схватываться10) затвердевание || затвердевать11) крепление || закреплять12) геол. свита пород13) осадка (грунта) || оседать ( о грунте)14) радиоточка15) спорт сет16) включать, приводить в действие17) мат. множествоset closed under operation — множество, замкнутое относительно операции
- absolutely compact set - absolutely continuous set - absolutely convex set - absolutely irreducible set - absolutely measurable set - affinely independent set - affinely invariant set - algebraically independent set - almost finite set - almost full set - angular cluster set - asymptotically indecomposable set - at most denumerable set - centro-symmetric set - completely bounded set - completely continuous set - completely generating set - completely improper set - completely irreducible set - completely nonatomic set - completely normal set - completely ordered set - completely productive set - completely reducible set - completely separable set - constructively nonrecursive set - convexly independent set - countably infinite setto set aside — не учитывать, не принимать во внимание; откладывать
- cut set- cyclically ordered set - deductively inconsistent set - derived set - doubly well-ordered set - dual set of equations - dynamically disconnected set - effectively enumerable set - effectively generating set - effectively nonrecursive set - effectively simple set - enumeration reducible set - finely perfect set - finitely definite set - finitely measurable set- flat set- full set- fully reducible set - functionally closed set - functionally complete set - functionally open set - fundamental probability set - generalized almost periodic set- goal set- internally stable set- knot set- left directed set - left normal set - left-hand cluster set - linearly ordered set - local peak set - locally arcwise set - locally closed set - locally compact set - locally connected set - locally contractible set - locally convex set - locally finite set - locally invariant set - locally negligible set - locally null set - locally polar set - locally polyhedral set - metrically bounded set - metrically dense set - multiply ordered set - nearly analytic set - nearly closed set - nonvoid set - normally ordered set- null set- open in rays set - partitioned data set- peak set- pole set- positively homothetic set- pure set- radially open set - rationally independent set - recursively creative set - recursively indecomposable set - recursively isomorphic set - recursively productive set - regularly convex set - regularly situated sets - relatively closed set - relatively compact set - relatively dense set - relatively interpretable set - relatively open set - right normal set - right-hand cluster set- scar set- sequentially complete set - serially ordered set - set of elementary events - set of first category - set of first kind - set of first species - set of possible outcomes - set of probability null - set of second category - set of second species - shift invariant set - simply connected set - simply ordered set - simply transitive set- skew set- star set- strongly bounded set - strongly closed set - strongly compact set - strongly connected set - strongly convex set - strongly dependent set - strongly disjoint sets - strongly enumerable set - strongly independent set - strongly minimal set - strongly polar set - strongly reducible set - strongly separated set - strongly simple set - strongly stratified set- tame set- tautologically complete set - tautologically consistent set - tautologically inconsistent set- test set- thin set- tie set- time set- totally disconnected set - totally imperfect set - totally ordered set - totally primitive set - totally unimodular set - totally unordered set - truth-table reducible set - uniformly bounded set - uniformly continuous set - uniformly convergent set - uniformly integrable set - uniformly universal set - unilaterally connected set- unit set- vacuous set- void set- weakly compact set - weakly convex set - weakly n-dimensional set - weakly stratified set - weakly wandering set - well chained set - well founded set - well measurable set - well ordering set - well quasiordered set -
6 Logic
My initial step... was to attempt to reduce the concept of ordering in a sequence to that of logical consequence, so as to proceed from there to the concept of number. To prevent anything intuitive from penetrating here unnoticed, I had to bend every effort to keep the chain of inference free of gaps. In attempting to comply with this requirement in the strictest possible way, I found the inadequacy of language to be an obstacle. (Frege, 1972, p. 104)I believe I can make the relation of my 'conceptual notation' to ordinary language clearest if I compare it to the relation of the microscope to the eye. The latter, because of the range of its applicability and because of the ease with which it can adapt itself to the most varied circumstances, has a great superiority over the microscope. Of course, viewed as an optical instrument it reveals many imperfections, which usually remain unnoticed only because of its intimate connection with mental life. But as soon as scientific purposes place strong requirements upon sharpness of resolution, the eye proves to be inadequate.... Similarly, this 'conceptual notation' is devised for particular scientific purposes; and therefore one may not condemn it because it is useless for other purposes. (Frege, 1972, pp. 104-105)To sum up briefly, it is the business of the logician to conduct an unceasing struggle against psychology and those parts of language and grammar which fail to give untrammeled expression to what is logical. He does not have to answer the question: How does thinking normally take place in human beings? What course does it naturally follow in the human mind? What is natural to one person may well be unnatural to another. (Frege, 1979, pp. 6-7)We are very dependent on external aids in our thinking, and there is no doubt that the language of everyday life-so far, at least, as a certain area of discourse is concerned-had first to be replaced by a more sophisticated instrument, before certain distinctions could be noticed. But so far the academic world has, for the most part, disdained to master this instrument. (Frege, 1979, pp. 6-7)There is no reproach the logician need fear less than the reproach that his way of formulating things is unnatural.... If we were to heed those who object that logic is unnatural, we would run the risk of becoming embroiled in interminable disputes about what is natural, disputes which are quite incapable of being resolved within the province of logic. (Frege, 1979, p. 128)[L]inguists will be forced, internally as it were, to come to grips with the results of modern logic. Indeed, this is apparently already happening to some extent. By "logic" is not meant here recursive function-theory, California model-theory, constructive proof-theory, or even axiomatic settheory. Such areas may or may not be useful for linguistics. Rather under "logic" are included our good old friends, the homely locutions "and," "or," "if-then," "if and only if," "not," "for all x," "for some x," and "is identical with," plus the calculus of individuals, event-logic, syntax, denotational semantics, and... various parts of pragmatics.... It is to these that the linguist can most profitably turn for help. These are his tools. And they are "clean tools," to borrow a phrase of the late J. L. Austin in another context, in fact, the only really clean ones we have, so that we might as well use them as much as we can. But they constitute only what may be called "baby logic." Baby logic is to the linguist what "baby mathematics" (in the phrase of Murray Gell-Mann) is to the theoretical physicist-very elementary but indispensable domains of theory in both cases. (Martin, 1969, pp. 261-262)There appears to be no branch of deductive inference that requires us to assume the existence of a mental logic in order to do justice to the psychological phenomena. To be logical, an individual requires, not formal rules of inference, but a tacit knowledge of the fundamental semantic principle governing any inference; a deduction is valid provided that there is no way of interpreting the premises correctly that is inconsistent with the conclusion. Logic provides a systematic method for searching for such counter-examples. The empirical evidence suggests that ordinary individuals possess no such methods. (Johnson-Laird, quoted in Mehler, Walker & Garrett, 1982, p. 130)The fundamental paradox of logic [that "there is no class (as a totality) of those classes which, each taken as a totality, do not belong to themselves" (Russell to Frege, 16 June 1902, in van Heijenoort, 1967, p. 125)] is with us still, bequeathed by Russell-by way of philosophy, mathematics, and even computer science-to the whole of twentieth-century thought. Twentieth-century philosophy would begin not with a foundation for logic, as Russell had hoped in 1900, but with the discovery in 1901 that no such foundation can be laid. (Everdell, 1997, p. 184)Historical dictionary of quotations in cognitive science > Logic
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7 coboundary
1) кограница
2) - граничный
3) кограничный ∙ - chain coboundary - coboundary formula - coboundary group - coboundary homomorphism - coboundary mapping - coboundary module - coboundary operator - coboundary relation - elementary coboundary - n-dimensional coboundary - oriented coboundary - singular coboundaryБольшой англо-русский и русско-английский словарь > coboundary
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8 diagram
диаграмма; схема; график, графическое представление || вычерчивать диаграмму; составлять схему; изображать схематически- algorithmic diagrama diagram worths many words — одна схема заменяет тысячу слов; лучше один раз увидеть, чем сто раз услышать
- ANSI block diagram
- baseline diagram
- binary decision diagram
- block diagram
- butterfly diagram
- calculating diagram
- child diagram
- circuit diagram
- column diagram
- conceptual diagram
- connection diagram
- control diagram
- cording diagram
- data flow diagram
- data organization diagram
- data structure diagram
- decision diagram
- distribution diagram
- edge-valued binary decision diagram
- elementary diagram
- engineering logic diagram
- entity-relationship diagram
- entity-relation diagram
- expert-aided diagram
- eye diagram
- flow diagram
- flow-process diagram
- forward butterfly diagram - functional diagram
- Gantt diagram
- Hamilton-Zeldin diagram
- hierarchical structure diagram
- HIPO diagram
- input-process-output diagram
- instrument diagram
- internal diagram
- key diagram
- ladder diagram
- Layton diagram
- line diagram
- linear decision diagram
- logical diagram
- logic diagram
- logical sequence diagram
- mnemonic diagram
- multiple-sheet diagram
- Nassi-Shneiderman diagram
- network diagram
- pictorial diagram
- program flow diagram
- run diagram
- SADT diagram
- scanning diagram
- schematic diagram
- setup diagram
- skeleton diagram
- stability diagram
- state diagram
- state transition diagram
- stick diagram
- syntactic diagram
- syntax diagram
- timing diagram
- transition diagram
- tree diagram
- truth diagram
- Veitch diagram
- Venn diagram
- Warnier diagram
- waveform diagram
- wiring diagram
- word-level decision diagramEnglish-Russian dictionary of computer science and programming > diagram
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9 character
2) буква; знак; символ3) литера4) матем. характер5) качество, свойство6) характеристика || характерный• -
10 embedding
1) вложение, вставка2) внедрение3) встраивание4) заделывание, заделка5) вдавливание; утапливание• -
11 equivalence
1) адекватность; эквивалентность3) равносильность; равноценность; равнозначность• -
12 homomorphism
гомоморфизм, гомоморфное отображение- locally nilpotent homomorphism - locally rigid homomorphism - lower complete homomorphism - lower semicomplete homomorphism - monic homomorphism - retractive homomorphism -
13 idempotent
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14 length
1) длина; протяжённость2) расстояние3) участок; отрезок4) метал. прокатанная заготовка•- commercial stock lengthlength in wavelength units — физ. волновая длина
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15 subset
1) телефон. абонентский аппарат2) подгруппа3) подкласс4) подмножество5) полукомплект•- almost open subset - almost unitary subset - bounded below subset - countably paracompact subset - everywhere dense subset - linearly independent subset - locally closed subset - locally polyhedral subset - locally tame subset - nonvoid subset - polynomially convex subset - potentially invertible subset - relatively compact subset - relatively pseudocompact subset - right perfect subset - right unitary subset - strongly dependent subset - strongly positive subset - totally ordered subset - uniformly integrable subset - universally measurable subset - weakly bounded subset - weakly closed subset - weakly invariant subset - weak-star closed subset - well ordered subset - well separated subset
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