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1 number-theoretical method
Большой англо-русский и русско-английский словарь > number-theoretical method
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2 number-theoretical method
Математика: теоретико-числовой методУниверсальный англо-русский словарь > number-theoretical method
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3 number-theoretical method
English-Russian scientific dictionary > number-theoretical method
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4 method
метод; процедура; способ- antithetic variate method - average ordinate method - average range method - binary search method - conjugate directions method - conjugate gradient method - control chart method - conventional milling method - correlation function method - decision function method - differential control method - Feynman diagram method - first approximation method - gradient projection method - iterative method - large sample method - large sieve method - least-squares regression method - less than fully efficient method - linearly implicit method - method of adjoint gradient - method of algebraic addition - method of alternating directions - method of balanced blocks - method of complex numbers - method of confidence intervals - method of conformal mappings - method of conjugate directions - method of conjugate gradients - method of cyclic descent - method of detached coefficients - method of disjunction of cases - method of divided differences - method of electrical images - method of elimination of quantifiers - method of empty ball - method of extreme values - method of false position - method of feasible directions - method of finite differences - method of first approximation - method of first entrance - method of fitting constants - method of fixed points - method of full enumeration - method of generating functions - method of geometric exhaustion - method of indefinite coefficients - method of infinite descent - method of interval bisection - method of least absolute values - method of least distance - method of least likelihood - method of maximum likelihood - method of means and standard deviations - method of medians and extreme values - method of minimal change - method of minimal variance - method of mirror reflections - method of moving frame - method of multiple comparison - method of orthogonal projections - method of paired associates - method of paired comparisons - method of phase integrals - method of projecting cones - method of proportional parts - method of rotating factors - method of semantic tableaux - method of separation of variables - method of simulaneous displacements - method of stationary phase - method of statistical differentials - method of statistical inference - method of steep variations - method of steepest ascent - method of stochastic approximation - method of straightforward iteration - method of successive displacements - method of successive divisions - method of successive elimination - method of transfinite induction - method of unweighted means - method of variable differences - method of variation of parameters - method of weighted residuals - optimum method - parallel tangents method - precision method - random walk method - recursive method - reduced gradient method - reflected wave method - relative method of measurement - sampling method by variables - statistical sampling method - steepest descent method - time average method -
5 теоретико-числовой метод
Большой англо-русский и русско-английский словарь > теоретико-числовой метод
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6 decision making
Gen Mgtthe process of choosing between alternative courses of action. Decision making may take place at an individual or organizational level. The process may involve establishing objectives, gathering relevant information, identifying alternatives, setting criteria for the decision, and selecting the best option. The nature of the decision-making process within an organization is influenced by its culture and structure, and a number of theoretical models have been developed. One well-known method for individual decision making was developed by Charles Kepner and Benjamin Tregoe in their book The New Rational Manager (1981). Decision theory can be used to assist in the process of decision making. Specific techniques used in decision making include heuristics and decision trees. Computer systems designed to assist managerial decision making are known as decision support systems. -
7 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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