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1 analytic expansion
Большой англо-русский и русско-английский словарь > analytic expansion
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2 analytic expansion
Математика: аналитическое расширение -
3 analytic expansion
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4 expansion
1) протяженность; пространство2) метал. развальцовка3) матем. разложение ( в ряд)4) растяжение; расширение; распространение; экспансия5) геол. увеличение мощности пласта•expansion by binomial theorem — матем. разложение по формуле бинома
expansion by continuity — матем. расширение по непрерывности
expansion by heat — физ. расширение при нагревании
expansion into a series — матем. разложение в ряд
expansion in terms of — разложение в ряд по...
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5 function
1) функция, действие || функционировать; действовать- essential functions - routine function - safety-related functions2) функциональное назначение; роль- circuit function - intrinsic function - metering function - primary function - robot function - planning function - service function - support function4) функциональный узел ( машины)5) матем. функциональная зависимость, функция- absolutely additive function - absolutely bounded function - absolutely continuous function - absolutely integrable function - absolutely monotone function - absolutely summable function - absolutely symmetric function - almost complex function - almost continuous function - almost convex function - almost everywhere defined function - almost everywhere finite function - almost invariant function - almost periodic function - almost recursive function - almost separably-valued function - almost separating function - almost universal function - analytically independent function - analytically representable function - approximately differentiable function - asymptotically differentiable function - asymptotically finite function - asymptotically uniformly optimal function - bounded below function - cellwise continuous function - circumferentially mean p-valent function - comparison function - complementary error function - complete analytic function - completely additive function - completely computable function - completely monotone function - completely multiplicative function - completely productive function - completely subadditive function - completely symmetrical function - completely undefined function - complex hyperbolic function - conditional risk function - countably multiplicative function - countably valued function - covariant function - cumulative distribution function - cumulative frequency function - deficiency function - double limit function - doubly periodic function - doubly recursive function - effectively computable function - effectively constant function - effectively decidable function - effectively variable function - elementarily symmetric function - entire function of maximum type - entire function of mean type - entire function of potential type - entire function of zero type - entire rational function - essentially increasing function - essentially integrable function - essentially real function - essentially smooth function - everywhere differentiable function - everywhere smooth function - expansible function - explicitly definable function - exponentially convex function - exponentially decreasing function - exponentially increasing function - exponentially multiplicative function - exponentially vanishing function - finitely mean valent function - finitely measurable function - function of appropriate behavior - function of bounded characteristic - function of bounded type - function of bounded variation - function of complex variable - function of exponential type - function of finite genus - function of finite variation - function of fractional order - function of infinite type - function of integral order - function of maximal type - function of minimal type - function of mixed variables - function of normal type - function of number theory - function of one variable - function of rapid descent - function of rapid growth - function of real variable - general universal function - geometric carrier function - implicitly definable function - incomplete dibeta function - incomplete gamma function - incomplete tribeta function - incompletely defined function - inductively defined function - inductively integrable function - infinitely divisible function - infinitely many-valued function - integral logarithmic function - inverse trigonometric function - inverted beta function - iterative function - joint correlation function - joint density function - linearly separable function - locally bounded function - locally constant function - locally holomorphic function - locally homogeneous function - locally integrable function - locally negligible function - locally regular function - locally summable function - logarithmic generating function - logarithmic integral function - logarithmically infinite function - logarithmically plurisubharmonic function - logarithmically subharmonic function - lower semicontinuous function - monotone non-decreasing function - monotone non-increasing function - multiply periodic function - multiply recursive function - negative definite function - negative infinite function - nontangentially bounded function - normalized function - normed function - nowhere continuous function - nowhere differentiable function - nowhere monotonic function - n-times differentiable function - n-tuply periodic function - numeralwise expressible function - numeralwise representable function - numerical function - numerically valued function - oblate spheroidal function - operating characteristic function - optimal policy function - parametrically definable function - partially symmetric function - piecewise constant function - piecewise continuously differentiable function - piecewise linear function - piecewise monotonic function - piecewise polynomial function - piecewise quadratic function - piecewise regular function - piecewise smooth function - pointwise approximated function - positive homogeneous function - positive infinite function - positive monotone function - positive monotonic function - positive semidefinite function - potentially calculable function - potentially recursive function - power series function - probability generating function - quadratically summable function - rapidly damped function - rapidly decreasing function - rapidly oscillatory function - recursively continuous function - recursively convergent function - recursively defined function - recursively differentiable function - recursively divergent function - recursively extensible function - relative distribution function - relative frequency function - representing function - reproducing kernel function - residual function - residue function - scalarwise integrable function - scalarwise measurable function - sectionally smooth function - simply periodic function - singly recursive function - slowly increasing function - slowly oscillating function - slowly varying function - smoothly varying function - solid spherical harmonic function - solid zonal harmonic function - steadily increasing function - stopped random function - strictly convex function - strictly decreasing function - strictly increasing function - strictly integrable function - strictly monotone function - strongly differentiable function - strongly holomorphic function - strongly integrable function - strongly measurable function - strongly plurisubharmonic function - totally additive function - totally continuous function - totally measurable function - totally multiplicative function - totally positive function - triangular function - uniformly best decision function - uniformly bounded function - uniformly definable function - uniformly differentiable function - uniformly homotopic function - uniformly integrable function - uniformly limited function - uniformly measurable function - uniformly smooth function - unit step function - unitary divisor function - upper measurable function - upper semicontinuous function - weakly analytic function - weakly continuous function - weakly differentiable function - weakly holomorphic function - weakly measurable function - weakly singular function - weighted random functiondomain of a function — область определения функции, область изменения независимой переменной
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6 formula
1) рецепт2) формула || формульный3) формулировка•- arithmetically valid formula - back interpolation formula - computational formula - computing formula - corrector formula - formally decidable formula - formally refutable formula - formula of finite increments - geometrically valid formula - homomorphically stable formula - identically false formula - identically true formula - intuitionistically valid formula - logically valid formula - maximum likelihood formula - modally valid formula - monotonically increasing formula - numeralwise expressible formula - numeralwise representable formula - positively valid formula - primitively recursive formula - reciprocity formula - secondarily valid formula - square stable formula - universally valid formulato follow the formula — подчиняться [следовать] формуле; описываться формулой
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7 Philosophy
And what I believe to be more important here is that I find in myself an infinity of ideas of certain things which cannot be assumed to be pure nothingness, even though they may have perhaps no existence outside of my thought. These things are not figments of my imagination, even though it is within my power to think of them or not to think of them; on the contrary, they have their own true and immutable natures. Thus, for example, when I imagine a triangle, even though there may perhaps be no such figure anywhere in the world outside of my thought, nor ever have been, nevertheless the figure cannot help having a certain determinate nature... or essence, which is immutable and eternal, which I have not invented and which does not in any way depend upon my mind. (Descartes, 1951, p. 61)Let us console ourselves for not knowing the possible connections between a spider and the rings of Saturn, and continue to examine what is within our reach. (Voltaire, 1961, p. 144)As modern physics started with the Newtonian revolution, so modern philosophy starts with what one might call the Cartesian Catastrophe. The catastrophe consisted in the splitting up of the world into the realms of matter and mind, and the identification of "mind" with conscious thinking. The result of this identification was the shallow rationalism of l'esprit Cartesien, and an impoverishment of psychology which it took three centuries to remedy even in part. (Koestler, 1964, p. 148)It has been made of late a reproach against natural philosophy that it has struck out on a path of its own, and has separated itself more and more widely from the other sciences which are united by common philological and historical studies. The opposition has, in fact, been long apparent, and seems to me to have grown up mainly under the influence of the Hegelian philosophy, or, at any rate, to have been brought out into more distinct relief by that philosophy.... The sole object of Kant's "Critical Philosophy" was to test the sources and the authority of our knowledge, and to fix a definite scope and standard for the researches of philosophy, as compared with other sciences.... [But Hegel's] "Philosophy of Identity" was bolder. It started with the hypothesis that not only spiritual phenomena, but even the actual world-nature, that is, and man-were the result of an act of thought on the part of a creative mind, similar, it was supposed, in kind to the human mind.... The philosophers accused the scientific men of narrowness; the scientific men retorted that the philosophers were crazy. And so it came about that men of science began to lay some stress on the banishment of all philosophic influences from their work; while some of them, including men of the greatest acuteness, went so far as to condemn philosophy altogether, not merely as useless, but as mischievous dreaming. Thus, it must be confessed, not only were the illegitimate pretensions of the Hegelian system to subordinate to itself all other studies rejected, but no regard was paid to the rightful claims of philosophy, that is, the criticism of the sources of cognition, and the definition of the functions of the intellect. (Helmholz, quoted in Dampier, 1966, pp. 291-292)Philosophy remains true to its classical tradition by renouncing it. (Habermas, 1972, p. 317)I have not attempted... to put forward any grand view of the nature of philosophy; nor do I have any such grand view to put forth if I would. It will be obvious that I do not agree with those who see philosophy as the history of "howlers" and progress in philosophy as the debunking of howlers. It will also be obvious that I do not agree with those who see philosophy as the enterprise of putting forward a priori truths about the world.... I see philosophy as a field which has certain central questions, for example, the relation between thought and reality.... It seems obvious that in dealing with these questions philosophers have formulated rival research programs, that they have put forward general hypotheses, and that philosophers within each major research program have modified their hypotheses by trial and error, even if they sometimes refuse to admit that that is what they are doing. To that extent philosophy is a "science." To argue about whether philosophy is a science in any more serious sense seems to me to be hardly a useful occupation.... It does not seem to me important to decide whether science is philosophy or philosophy is science as long as one has a conception of both that makes both essential to a responsible view of the world and of man's place in it. (Putnam, 1975, p. xvii)What can philosophy contribute to solving the problem of the relation [of] mind to body? Twenty years ago, many English-speaking philosophers would have answered: "Nothing beyond an analysis of the various mental concepts." If we seek knowledge of things, they thought, it is to science that we must turn. Philosophy can only cast light upon our concepts of those things.This retreat from things to concepts was not undertaken lightly. Ever since the seventeenth century, the great intellectual fact of our culture has been the incredible expansion of knowledge both in the natural and in the rational sciences (mathematics, logic).The success of science created a crisis in philosophy. What was there for philosophy to do? Hume had already perceived the problem in some degree, and so surely did Kant, but it was not until the twentieth century, with the Vienna Circle and with Wittgenstein, that the difficulty began to weigh heavily. Wittgenstein took the view that philosophy could do no more than strive to undo the intellectual knots it itself had tied, so achieving intellectual release, and even a certain illumination, but no knowledge. A little later, and more optimistically, Ryle saw a positive, if reduced role, for philosophy in mapping the "logical geography" of our concepts: how they stood to each other and how they were to be analyzed....Since that time, however, philosophers in the "analytic" tradition have swung back from Wittgensteinian and even Rylean pessimism to a more traditional conception of the proper role and tasks of philosophy. Many analytic philosophers now would accept the view that the central task of philosophy is to give an account, or at least play a part in giving an account, of the most general nature of things and of man. (Armstrong, 1990, pp. 37-38)8) Philosophy's Evolving Engagement with Artificial Intelligence and Cognitive ScienceIn the beginning, the nature of philosophy's engagement with artificial intelligence and cognitive science was clear enough. The new sciences of the mind were to provide the long-awaited vindication of the most potent dreams of naturalism and materialism. Mind would at last be located firmly within the natural order. We would see in detail how the most perplexing features of the mental realm could be supported by the operations of solely physical laws upon solely physical stuff. Mental causation (the power of, e.g., a belief to cause an action) would emerge as just another species of physical causation. Reasoning would be understood as a kind of automated theorem proving. And the key to both was to be the depiction of the brain as the implementation of multiple higher level programs whose task was to manipulate and transform symbols or representations: inner items with one foot in the physical (they were realized as brain states) and one in the mental (they were bearers of contents, and their physical gymnastics were cleverly designed to respect semantic relationships such as truth preservation). (A. Clark, 1996, p. 1)Socrates of Athens famously declared that "the unexamined life is not worth living," and his motto aptly explains the impulse to philosophize. Taking nothing for granted, philosophy probes and questions the fundamental presuppositions of every area of human inquiry.... [P]art of the job of the philosopher is to keep at a certain critical distance from current doctrines, whether in the sciences or the arts, and to examine instead how the various elements in our world-view clash, or fit together. Some philosophers have tried to incorporate the results of these inquiries into a grand synoptic view of the nature of reality and our human relationship to it. Others have mistrusted system-building, and seen their primary role as one of clarifications, or the removal of obstacles along the road to truth. But all have shared the Socratic vision of using the human intellect to challenge comfortable preconceptions, insisting that every aspect of human theory and practice be subjected to continuing critical scrutiny....Philosophy is, of course, part of a continuing tradition, and there is much to be gained from seeing how that tradition originated and developed. But the principal object of studying the materials in this book is not to pay homage to past genius, but to enrich one's understanding of central problems that are as pressing today as they have always been-problems about knowledge, truth and reality, the nature of the mind, the basis of right action, and the best way to live. These questions help to mark out the territory of philosophy as an academic discipline, but in a wider sense they define the human predicament itself; they will surely continue to be with us for as long as humanity endures. (Cottingham, 1996, pp. xxi-xxii)10) The Distinction between Dionysian Man and Apollonian Man, between Art and Creativity and Reason and Self- ControlIn his study of ancient Greek culture, The Birth of Tragedy, Nietzsche drew what would become a famous distinction, between the Dionysian spirit, the untamed spirit of art and creativity, and the Apollonian, that of reason and self-control. The story of Greek civilization, and all civilizations, Nietzsche implied, was the gradual victory of Apollonian man, with his desire for control over nature and himself, over Dionysian man, who survives only in myth, poetry, music, and drama. Socrates and Plato had attacked the illusions of art as unreal, and had overturned the delicate cultural balance by valuing only man's critical, rational, and controlling consciousness while denigrating his vital life instincts as irrational and base. The result of this division is "Alexandrian man," the civilized and accomplished Greek citizen of the later ancient world, who is "equipped with the greatest forces of knowledge" but in whom the wellsprings of creativity have dried up. (Herman, 1997, pp. 95-96)Historical dictionary of quotations in cognitive science > Philosophy
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8 trend
ком., марк. тенденція; спрямованість; напрям; рух; схильність; тренд; змінанапрям, зміна або зразок якоїсь дії, явища, руху, поведінки (behaviour) і т. ін. в суспільному житті протягом певного періоду часу═════════■═════════aggregate trend сукупна тенденція; analytic trend аналітична тенденція • тренд, заданий формулою; artistic trend тенденція розвитку мистецтва; business trend тенденція ділової активності; consumer trends схильності споживачів; consumption trend тенденція розвитку споживання; cultural trend тенденція розвитку культури; current trend сучасна тенденція; cyclical trend циклічна тенденція; definite trend визначена тенденція; demand trend тенденція зміни попиту; demographic trend демографічна тенденція • тенденція демографічного розвитку; downward trend тенденція до зниження; economic trend тенденція економічного розвитку • господарська кон'юнктура; employment trend тенденція зміни зайнятості; evolutionary trend напрям еволюції; expansion trend тенденція до розширення • тенденція до збільшення; falling trend тенденція до зниження; flat trend стійка тенденція; general trend загальна тенденція; growing trend зростаюча тенденція; growth trend тенденція економічного зростання; industrial trend тенденція розвитку промисловості; inflationary trends інфляційна кон'юнктура; linear trend лінійний тренд; liquidity trend тенденція руху ліквідності; loan trends тенденції кредитування; long-range trend довготривала тенденція; long-term trend довготривала тенденція; major trend головна тенденція; market trend тенденція розвитку ринку; minor trend незначна тенденція; money growth trend тенденція зростання грошової маси • темп зростання грошової маси; negative trend негативна тенденція; population trend тенденція зміни структури і кількості населення; positive trend позитивна тенденція; prevailing trend переважаюча тенденція; price trend тенденція зміни цін; primary trend первинна тенденція руху цін • первинна тенденція руху курсів; profit trend тенденція прибутковості; purchase trend тенденція закупівлі; quality trend тенденція зміни якості; recent trend нинішня тенденція • остання тенденція; retail trend тенденція розвитку роздрібної торгівлі; rising trend тенденція до підвищення; sales trend тенденція збуту; secular trend довготривала тенденція • вікові коливання (циклів); short-term trend короткострокова тенденція; social trend тенденція суспільного розвитку; stable trend стійка тенденція; stronger trend тенденція до підвищення; style trend тенденція зовнішнього оформлення; unfavourable trend несприятлива тенденція; upward trend тенденція до підвищення; weaker trend тенденція до зниження═════════□═════════to buck the trend виступати/виступити проти тенденції ринку; trend analysis аналіз тенденції; trend away from тенденція від чогось; trend in the dollar тенденція валютного курсу відносно долара; trend in prices тенденція розвитку цін; trends in technology тенденції розвитку технології; trend of the market тенденція ринку; trend of prices тенденція цін • напрям зміни цін; trend toward тенденція до чогось -
9 operator
1) диспетчер2) владелец ( оборудования)3) машинист4) оператор машины или системы6) матем. оператор- almost periodic operator - amateur radio operator - asymptotically polylinear operator - bounded below operator - completely invertible operator - double stochastic operator - formally hypoelliptic operator - formally self-adjoint operator - formally symmetric operator - internal operator - isotonic operator - left shift operator - locally algebraic operator - locally measurable operator - negative semidefinite operator - normally resolvable operator - partial recursive operator - partially hypoelliptic operator - partially isometric operator - positive definite operator - positive semidefinite operator - properly orthogonal operator - relatively degenerate operator - relatively invertible operator - relatively regular operator - selective operator - skew adjoint operator - skew self-adjoint operator - uniformly strongly elliptic operator - weakly separable operator
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