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1 everywhere convergent series
Математика: всюду сходящийся рядУниверсальный англо-русский словарь > everywhere convergent series
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2 everywhere convergent series
English-Russian scientific dictionary > everywhere convergent series
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3 series
1) серия; ряд; последовательность2) геол. толща, свита3) мат. прогрессия; рядexpansion in a series — матем. разложение в ряд
series in a closed form — матем. ряд в замкнутом виде, замкнутый ряд
series in terms of powers of x — матем. ряд по степеням x
series with decreasing coefficients — матем. ряд с убывающими коэффициентами
to cut off a series — матем. обрывать ряд
to develop as series in x — матем. разлагать в ряд по степеням x
to expand in power series — матем. разлагать в степенной ряд
to expand into series — матем. разлагать в ряд
- absolutely divergent series - absolutely summable series - almost everywhere summable series - almost periodic series - almost stationary series - almost uniformly convergent series - completely convergent series - completely invariant series - configuration counting series - confluent hypergeometric series - dominating series - essentially divergent series - everywhere convergent series - everywhere divergent series - function counting series - inverse tangent series - monotonic increasing series - multidimensional time series - multivariate time series - nonuniformly convergent series - normally distributed series - normally summable series - randomly ordered series - slowly oscillating series - strongly summable series - unconditionally convergent series - uniformly bounded series - uniformly divergent series - uniformly summable series - upper central seriesto express as power series — матем. выражать в виде степенного ряда
4) цикл, сериал5) электр. последовательное соединение•connected in series with — электр. последовательно включённый
to place in series with — электр. включать последовательно
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4 convergent
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5 всюду сходящийся ряд
1) Mathematics: everywhere convergent series, permanently convergent series2) Makarov: permanently seriesУниверсальный русско-английский словарь > всюду сходящийся ряд
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6 всюду сходящийся ряд
permanently convergent series мат., everywhere convergent seriesРусско-английский научно-технический словарь Масловского > всюду сходящийся ряд
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7 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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8 form
1) анкета; бланк2) вид; форма || придавать вид или форму3) контур; очертание4) конфигурация6) строит. опалубка; элемент опалубки7) скамейка, лавочка8) формуляр9) составлять; образовывать10) формироваться•calculation in a series form — матем. вычисление с помощью ряда
evaluation of indeterminate form — матем. раскрытие неопределённости
fraction in a factored form — матем. дробь в форме разложения на множители
in an expanded form — в виде ряда; в развёрнутом виде
integration in a closed form — матем. интегрирование в конечном виде
of closed form — матем. в конечном виде, с конечным числом членов
preparation of type form — полигр. чернение набора
reduction to a normal form — матем. приведение к нормальной форме
to bring into a canonical form — матем. приводить к канонической форме; приводить к каноническому виду
to form a circle — замыкаться в кольцо; образовывать кольцо
to rearrange in the form — переписывать в виде; преобразовывать к виду ( об уравнениях)
- absolutely convergent form - absolutely extreme form - definite form - elementary form - elimination form of inverse - everywhere regular form - evolutionary operation form - geodesic curvature form - indefinite form - p-adically equivalent form - relatively bounded form - repair request form - third fundamental form - totally definite form - totally discontinuous formto take on a form — принимать форму; принимать вид
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9 Giffard, Baptiste Henry Jacques (Henri)
[br]b. 8 February 1825 Paris, Franced. 14 April 1882 Paris, France[br]French pioneer of airships and balloons, inventor of an injector for steam-boiler feedwater.[br]Giffard entered the works of the Western Railway of France at the age of 16 but became absorbed by the problem of steam-powered aerial navigation. He proposed a steam-powered helicopter in 1847, but he then turned his attention to an airship. He designed a lightweight coke-burning, single-cylinder steam engine and boiler which produced just over 3 hp (2.2 kW) and mounted it below a cigar-shaped gas bag 44 m (144 ft) in length. A triangular rudder was fitted at the rear to control the direction of flight. On 24 September 1852 Giffard took off from Paris and, at a steady 8 km/h (5 mph), he travelled 28 km (17 miles) to Trappes. This can be claimed to be the first steerable lighter-than-air craft, but with a top speed of only 8 km/h (5 mph) even a modest headwind would have reduced the forward speed to nil (or even negative). Giffard built a second airship, which crashed in 1855, slightly injuring Giffard and his companion; a third airship was planned with a very large gas bag in order to lift the inherently heavy steam engine and boiler, but this was never built. His airships were inflated by coal gas and refusal by the gas company to provide further supplies brought these promising experiments to a premature end.As a draughtsman Giffard had the opportunity to travel on locomotives and he observed the inadequacies of the feed pumps then used to supply boiler feedwater. To overcome these problems he invented the injector with its series of three cones: in the first cone (convergent), steam at or below boiler pressure becomes a high-velocity jet; in the second (also convergent), it combines with feedwater to condense and impart high velocity to it; and in the third (divergent), that velocity is converted into pressure sufficient to overcome the pressure of steam in the boiler. The injector, patented by Giffard, was quickly adopted by railways everywhere, and the royalties provided him with funds to finance further experiments in aviation. These took the form of tethered hydrogen-inflated balloons of successively larger size. At the Paris Exposition of 1878 one of these balloons carried fifty-two passengers on each tethered "flight". The height of the balloon was controlled by a cable attached to a huge steam-powered winch, and by the end of the fair 1,033 ascents had been made and 35,000 passengers had seen Paris from the air. This, and similar balloons, greatly widened the public's interest in aeronautics. Sadly, after becoming blind, Giffard committed suicide; however, he died a rich man and bequeathed large sums of money to the State for humanitarian an scientific purposes.[br]Principal Honours and DistinctionsCroix de la Légion d'honneur 1863.Bibliography1860, Notice théorique et pratique sur l'injecteur automoteur.1870, Description du premier aérostat à vapeur.Further ReadingDictionnaire de biographie française.Gaston Tissandier, 1872, Les Ballons dirigeables, Paris.—1878, Le Grand ballon captif à vapeur de M. Henri Giffard, Paris.W.de Fonvielle, 1882, Les Ballons dirigeables à vapeur de H.Giffard, Paris. Giffard is covered in most books on balloons or airships, e.g.: Basil Clarke, 1961, The History of Airships, London. L.T.C.Rolt, 1966, The Aeronauts, London.Ian McNeill (ed.), 1990, An Encyclopaedia of the History of Technology, London: Routledge, pp. 575 and 614.J.T.Hodgson and C.S.Lake, 1954, Locomotive Management, Tothill Press, p. 100.PJGR / JDSBiographical history of technology > Giffard, Baptiste Henry Jacques (Henri)
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