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1 strongly bounded space
Математика: сильно ограниченное пространствоУниверсальный англо-русский словарь > strongly bounded space
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2 strongly bounded space
English-Russian scientific dictionary > strongly bounded space
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3 space
1) интервал, промежуток2) пробел || оставлять пробелы3) область; площадь4) пространство || пространственный5) космос, космическое пространство6) полость7) расстояние•- absolutely compact space - absolutely embedded space - absolutely thick space - algebraically parallel space - almost complex space - almost expandable space - almost isomorphic space - almost metric space - almost nonsingular space - almost paracompact space - almost pretopological space - analytically ramified covering space - arcwise connected space - centrally harmonic space - compactly ordered space - completely continuous space - completely degenerate space - completely disconnected space - completely harmonic space - completely metric space - completely normal space - completely reducible space - completely regular space - completely reticulated space - completely separable space - completely separated space - completely symmetric space - completely uniformizable space - constant curvature space - continuous sample space - continuously ordered space - contractible in itself space - countably compactifiable space - countably dimensional space - countably generated space - countably infinite space - countably metacompact space - countably multinormed space - countably normed space - countably paracompact space - countably refinable space - countably subcompact space - finitely productive space - finitely sheeted space - finitely triangulated space - fully normal space - general metrizable space - general topological space - global analytic space - globally symmetric space - hereditarily normal space - hereditarily paracompact space - hereditarily separable space - hereditarily symmetric space - holomorphic tangent space - holomorphically complete space - holomorphically convex space - homotopy associative space - iterated loop space - linearly connected space - linearly ordered space - linearly topologized space - load space - locally bounded space - locally closed space - locally compact space - locally complete space - locally connected space - locally contractible space - locally convex space - locally directed space - locally fine space - locally holomorphic space - locally homogeneous space - locally hyperbolic space - locally linear space - locally metrizable space - locally ringed space - locally separable space - locally simply connected space - locally solid space - locally spherical space - locally star-shaped space - locally symmetric space - locally timelike space - locally triangulable space - monotonically normal space - naturally isomorphic space - naturally ordered space - naturally reductive space - nearly paracompact space - negative metric space - normally separated space - not simply connected space - nowhere connected space - null space of linear transformation - n-way projective space - perfectly normal space - perfectly regular space - perfectly screenable space - perfectly separable space - peripherically bicompact space - peripherically compact space - pointwise paracompact space - projectively metric space - quaternion hyperbolic space - quaternion projective space - quaternion vector space - regularly ordered space - relatively discrete space - relatively strong space - sequentially closed space - sequentially compact space - sequentially complete space - sequentially quasicomplete space - sequentially separable space - simply ordered space - simply partitionable space - space of affine connectedness - space of complex homomorphisms - space of continuous functions - space of finite measure - space of linear interpolation - space of right cosets - space of scalar curvature - strongly bounded space - strongly closed space - strongly compact space - strongly complete space - strongly irreducible space - strongly normal space - strongly normed space - strongly paracompact space - strongly pseudocompact space - strongly pseudometrizable space - strongly rigid space - strongly screenable space - structural space - structure space - topologically complete space - totally disconnected space - totally geodesic space - totally imperfect space - totally normal space - totally orderable space - totally ordered space - water jacket space - weakly closed space - weakly compact space - weakly complete space - weakly covering space - weakly dense space - weakly favorable space - weakly n-dimensional space - weakly paracompact space - weakly regular space - weakly separable space - weakly symmetric spaceto space out — полигр. набирать вразрядку
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4 bounded
1) граничить
2) ограниченный
3) ограниченно
4) разграниченный
5) связанный ∙ absolutely bounded form ≈ абсолютно ограниченная форма absolutely bounded function ≈ ограниченная по абсолютной величине функция absolutely bounded matrix ≈ абсолютно ограниченная матрица algebra of bounded representation type ≈ алгебра с ограниченными степенями представлений algebra of linearly bounded degree ≈ алгебра линейно ограниченной степени almost bounded function ≈ функция, ограниченная почти всюду bounded above function ≈ ограниченная сверху функция bounded above operator ≈ ограниченый сверху оператор bounded above subset ≈ ограниченное сверху подмножество bounded below function ≈ ограниченная снизу функция bounded below operator ≈ ограниченный снизу оператор bounded below subset ≈ ограниченное снизу подмножество bounded closed interval ≈ ограниченный замкнутый интервал bounded distance decoding ≈ декодирование с ограниченным расстоянием bounded from one side ≈ полуограниченный bounded open interval ≈ ограниченный открытый интервал bounded partial quotient ≈ ограниченное неполное частное bounded pure subgroup ≈ ограниченная сервантная подгруппа bounded random variable ≈ ограниченная случайная величина bounded universal hypothesis ≈ ограниченная универсальная гипотеза bounded variable technique ≈ метод ограниченной переменной collectively bounded set ≈ ограниченное в совокупности множество completely bounded set ≈ вполне ограниченное множество completely bounded space ≈ вполне органическое пространство completely bounded statistic ≈ вполне ограниченная статистика derivative of bounded variation ≈ производная с ограниченной вариацией doubly bounded quantifier ≈ ограниченный с двух сторон квантор essentially bounded function ≈ существенно ограниченная функция essentially bounded random variable ≈ существенно ограниченная случайная величина essentially bounded sequence ≈ существенно ограниченная последовательность explicitly bounded function ≈ явно ограниченная функция finitely bounded germ ≈ конечно ограниченный росток function of bounded characteristic ≈ функция с ограниченной характеристикой function of bounded type ≈ функция ограниченного вида function of bounded variation ≈ функция с ограниченным изменением linearly bounded automaton ≈ линейно ориентированный автомат linearly bounded set ≈ линейно ограниченное множество locally bounded curvature ≈ локально ограниченная кривизна locally bounded density ≈ локально ограниченная плотность locally bounded function ≈ локально ограниченная функция locally bounded game ≈ локально ограниченная игра locally bounded space ≈ локально ограниченное пространство metrically bounded functional ≈ метрически ограниченный функционал metrically bounded set ≈ метрически ограниченное множество nontangentially bounded function ≈ нетангенциально ограниченная функция nontangentially bounded integral ≈ некасательно ограниченный интеграл order bounded functional ≈ ограниченный по упорядоченности функционал pointwise bounded function ≈ точечно ограниченная функция polynomially bounded function ≈ полиномиально ограниченная функция process with bounded aftereffect ≈ процесс с ограниченным последействием progressively bounded graph ≈ прогрессивно ограниченный граф recursively bounded quantifier ≈ рекурсивно ограниченный квантор regressively bounded graph ≈ регрессивно ограниченный граф relatively bounded form ≈ относительно ограниченная форма sequentially bounded net ≈ последовательно ограниченная сеть simply bounded subset ≈ поточечно ограниченное подмножество smoothly bounded region ≈ гладко ограниченная область stochastically bounded sequence ≈ стохастически ограниченная последовательность strictly bounded set ≈ строго ограниченное множество strongly bounded set ≈ сильно ограниченное множество strongly bounded space ≈ сильно ограниченное пространство theor of semigroups of linear bounded operators ≈ теория полугрупп линейных ограниченных операторов topology of bounded convergence ≈ топология ограниченной сходимости totally bounded measure ≈ вполне ограниченная мера totally bounded set ≈ вполне ограниченное множество totally bounded space ≈ вполне ограниченное пространство totally bounded subset ≈ вполне ограниченное подмножество totally bounded uniformity ≈ вполне ограниченная равномерность uniformly bounded convergence ≈ равномерно ограниченная сходимость uniformly bounded curvature ≈ равномерно ограниченная кривизна uniformly bounded error ≈ равномерно ограниченная ошибка uniformly bounded family ≈ равномерно ограниченное семейство uniformly bounded function ≈ равномерно ограниченная функция uniformly bounded kernel ≈ равномерно ограниченное ядро uniformly bounded sequence ≈ равномерно ограниченная последовательность uniformly bounded series ≈ равномерно ограниченный ряд uniformly bounded set ≈ равномерно ограниченное множество uniformly bounded variation ≈ равномерно ограниченная вариация weakly bounded set ≈ слабо ограниченное множество weakly bounded subset ≈ слабо ограниченное подмножество - almost bounded - bounded above - bounded acceptor - bounded accuracy - bounded adele - bounded aggregate - bounded approximation - bounded automaton - bounded axonometry - bounded below - bounded characteristic - bounded collection - bounded compactness - bounded completeness - bounded continuum - bounded convergence - bounded curvature - bounded decomposition - bounded deficiency - bounded degree - bounded derivation - bounded derivative - bounded deviation - bounded difference - bounded distribution - bounded domain - bounded duality - bounded extension - bounded field - bounded flow - bounded form - bounded frontier - bounded function - bounded functional - bounded group - bounded homomorphism - bounded index - bounded integral - bounded integrand - bounded intersection - bounded invertibility - bounded kernel - bounded language - bounded lattice - bounded mapping - bounded martingale - bounded matrix - bounded measure - bounded metric - bounded module - bounded monotonicity - bounded morphism - bounded motion - bounded network - bounded norm - bounded operator - bounded order - bounded path - bounded polyhedron - bounded potential - bounded predicate - bounded problem - bounded product - bounded projection - bounded quality - bounded quantification - bounded quantifier - bounded quantity - bounded quotient - bounded region - bounded representation - bounded retract - bounded semigroup - bounded sequence - bounded series - bounded set - bounded solution - bounded space - bounded spectrum - bounded spline - bounded string - bounded subset - bounded subtraction - bounded sum - bounded summand - bounded support - bounded term - bounded topology - bounded transformation - bounded utility - bounded variance - bounded variation - bounded varying - bounded vector - essentially bounded - explicitly bounded - exponentially bounded - power bounded - uniformly bounded - weakly bounded (математика) ограниченный -
5 сильно ограниченное пространство
Русско-английский научно-технический словарь Масловского > сильно ограниченное пространство
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6 сильно ограниченное пространство
Mathematics: strongly bounded spaceУниверсальный русско-английский словарь > сильно ограниченное пространство
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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 sequence
1) очерёдность; порядок следования3) геол. стратиграфический разрез4) серия, комплекс•- absolutely divergent sequence - absolutely limited sequence - absolutely summable sequence - absolutely unbiased sequence - adjusted homology sequence - asymptotically convergent sequence - asymptotically isotropic sequence - asymptotically lattice sequence - compactly divergent sequence - completely reversible sequence - conditionally divergent sequence - decimal geometric sequence - delicately divergent sequence - discretely convergent sequence - essentially convergent sequence - essentially finite sequence - essentially periodic sequence - everywhere dense sequence - infinitely large sequence - infinitely proceeding sequence - infinitely small sequence - integral stationary sequence - inverse sequence - inverted sequence - linearly independent sequence - locally convergent sequence - metrically convergent sequence - metrically transitive sequence - monotonically decreasing sequence - monotonically increasing sequence - never increasing sequence - numerical sequence - projectively realizable sequence - properly divergent sequence - rapid acquisition sequence - rapidly decreasing sequence - rapidly increasing sequence - recursively defined sequence - recursively divergent sequence - recursively enumerable sequence - relatively compact sequence - sequence of prime numbers - sequence of principal indices - slowly decreasing sequence - slowly increasing sequence - slowly oscillating sequence - stochastically compact sequence - stochastically stable sequence - strictly increasing sequence - strictly measurable sequence - strictly monotonic sequence - strongly convergent sequence - strongly downward sequence - strongly stationary sequence - strongly summable sequence - totally increasing sequence - totally monotone sequence - two-taile sequence - two-way infinite sequence - unconditionally divergent sequence - uniformly divergent sequence - uniformly integrable sequence - weakly convergent sequence -
9 uniformly
1) равномерно
2) однородно
3) постоянно
4) равно- ∙ almost uniformly convergent series ≈ почти равномерно сходящийся ряд approximately uniformly convergent series ≈ приближенно равномерно сходящийся ряд asymptotically uniformly optimal function ≈ асимптотически равномерно оптимальная функция locally uniformly rotund ≈ локально равномерно округлый uniformly accelerated motion ≈ равноускоренное [равномерно ускоренное] движение uniformly almost periodic ≈ равномерно почти периодический uniformly approximable function ≈ равномерно аппроксимируемая функция uniformly arcwise connected fan ≈ равномерно линейно связный веер uniformly asymptotically efficient test ≈ равномерно асимптотически эффективный критерий uniformly asymptotically negligible ≈ равномерно асимптотически пренебрежимо малый uniformly attracting set ≈ равномерно притягивающее множество uniformly attracting solution ≈ равномерно притягивающее решение uniformly best constant risk estimator ≈ оценка с равномерно наилучшим риском uniformly best decision function ≈ равномерно наилучшая решающая функция uniformly best test ≈ равномерно наилучший критерий uniformly bounded convergence ≈ равномерно ограниченная сходимость uniformly bounded curvature ≈ равномерно ограниченная кривизна uniformly bounded error ≈ равномерно ограниченная ошибка uniformly bounded family ≈ равномерно ограниченное семейство uniformly bounded function ≈ равномерно ограниченная функция uniformly bounded kernel ≈ равномерно ограниченное ядро uniformly bounded sequence ≈ равномерно ограниченная последовательность uniformly bounded series ≈ равномерно ограниченный ряд uniformly bounded set ≈ равномерно ограниченное множество uniformly bounded variation ≈ равномерно ограниченная вариация uniformly closed algebra ≈ равномерно замкнутая алгебра uniformly closed ideal ≈ равномерно замкнутый идеал uniformly closed subalgebra ≈ равномерно замкнутая подалгебра uniformly complete system ≈ равномерно полная система uniformly consistent estimator s ≈ равномерно состоятельная оценка uniformly consistent test ≈ равномерно состоятельный критерий uniformly continuous function ≈ равномерно непрерывная функция uniformly continuous pseudometric ≈ равномерно непрерывная псевдометрика uniformly continuous semigroup ≈ равномерно непрерывная полугруппа uniformly continuous set ≈ равномерно непрерывное множество uniformly continuous space ≈ равномерно непрерывное пространство uniformly continuous transformation ≈ равномерно непрерывное преобразование uniformly convergent filter ≈ равномерно сходящийся фильтр uniformly convergent potential ≈ равномерно сходящийся потенциал uniformly convergent sequence ≈ равномерно сходящаяся последовательность uniformly convergent set ≈ равномерно сходящееся множество uniformly convex norm ≈ равномерно выпуклая норма uniformly convex space ≈ равномерно выпуклое пространство uniformly decomposable group ≈ однородно разложимая группа uniformly definable class ≈ равномерно определимый класс uniformly definable function ≈ равномерно определимая функция uniformly differentiable function ≈ равномерно дифференцируемая функция uniformly distributed numbers ≈ равномерно распределенные (случайные) числа uniformly distributed points ≈ равномерно распределенные точки uniformly distributed sequence ≈ равномерно распределенная последовательность uniformly divergent sequence ≈ однородно расходящаяся последовательность uniformly divergent series ≈ равномерно расходящийся ряд uniformly embedded subset ≈ равномерно вложенное подмножество uniformly equicontinuous family ≈ равномерно равностепенно непрерывное семейство uniformly equiconvergent seriess ≈ равномерно равносходящиеся ряды uniformly equisummable series ≈ равномерно равносуммируемый ряд uniformly equivalent distances ≈ равномерно эквивалентные расстояния uniformly equivalent spaces ≈ равномерно эквивалентные пространства uniformly homotopic function ≈ равномерно гомотопическая функция uniformly integrable family ≈ равномерно интегрируемое семейство uniformly integrable function ≈ равномерно интегрируемая функция uniformly integrable martingale ≈ равномерно интегрируемый мартингал uniformly integrable random variable ≈ равномерно интегрируемая случайная величина uniformly integrable sequence ≈ равномерно интегрируемая последовательность uniformly integrable set ≈ равномерно интегрируемое множество uniformly integrable subset ≈ равномерно интегрируемое пространство uniformly integrable supermartingale ≈ равномерно интегрируемый супермартингал uniformly limited function ≈ равномерно ограниченная функция uniformly limited variable ≈ равномерно ограниченная переменная uniformly measurable function ≈ равномерно измеримая функция uniformly minimal variance ≈ равномерно минимальная дисперсия uniformly minimum risk ≈ равномерно минимальный риск uniformly minimum risk estimator ≈ оценка с равномерно минимальным риском uniformly minimum variance unbiased estimator ≈ несмещенная оценка с равномерно минимальной дисперсией uniformly monotonic norm ≈ равномерно монотонная норма uniformly most powerful ≈ равномерно наиболее мощный( о критерии) uniformly most powerful test ≈ равномерно наиболее мощный критерий uniformly packed code ≈ равномерно упакованный код uniformly parabolic operator ≈ равномерно параболический оператор uniformly positive functional ≈ равномерно положительный функционал uniformly quasiconvex functional ≈ равномерно квазивыпуклый функционал uniformly regular transformation ≈ равномерно регулярное преобразование uniformly retarded motion ≈ равномерно замедленное движение uniformly rotund direction ≈ равномерно округленное направление uniformly rotund sphere ≈ равномерно круглая сфера uniformly selective ultrafilter ≈ равномерно селективный ультрафильтр uniformly singular integral ≈ равномерно сингулярный [равномерно особый] интеграл uniformly smooth function ≈ равномерно гладкая функция uniformly stable solution ≈ равномерно устойчивое решение uniformly strict contraction ≈ равномерно строгое сжатие uniformly strongly elliptic operator ≈ равномерно строго эллиптический оператор uniformly summable series ≈ равномерно суммируемый ряд uniformly tapered matrix ≈ равномерно суживающаяся матрица uniformly unbiased estimator ≈ равномерно несмещенная оценка uniformly universal set ≈ равномерно универсальное множество uniformly variable motion ≈ равномерно-переменное движение uniformly variable rotation ≈ равномерно переменное вращение uniformly weighted estimate ≈ равномерно взвешенная оценка uniformly within interval ≈ равномерно внутри интервала weakly uniformly rotund ≈ слабо равномерно округлый - converge uniformly - load uniformly - locally uniformly - metrically uniformly - mover uniformly - uniformly accelerated - uniformly accurate - uniformly asymptotical - uniformly bounded - uniformly closed - uniformly compact - uniformly complete - uniformly continuous - uniformly convergent - uniformly convex - uniformly correlated - uniformly definable - uniformly diagonalizable - uniformly differentiable - uniformly diffuse - uniformly distributed - uniformly equiconvergent - uniformly ergodic - uniformly fine - uniformly infinitesimal - uniformly integrable - uniformly measurable - uniformly monotone - uniformly open - uniformly parabolic - uniformly positive - uniformly precise - uniformly quasiconvex - uniformly rotund - uniformly small - uniformly smaller - uniformly smooth - uniformly stable - uniformly summable - uniformly tight - uniformly zero-dimentional РавномерноБольшой англо-русский и русско-английский словарь > uniformly
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10 Guericke, Otto von
[br]b. 20 November 1602 Magdeburg, Saxony, Germanyd. 11 May 1686 Hamburg, Germany[br]German engineer and physicist, inventor of the air pump and investigator of the properties of a vacuum.[br]Guericke was born into a patrician family in Magdeburg. He was educated at the University of Leipzig in 1617–20 and at the University of Helmstedt in 1620. He then spent two years studying law at Jena, and in 1622 went to Leiden to study law, mathematics, engineering and especially fortification. He spent most of his life in politics, for he was elected an alderman of Magdeburg in 1626. After the destruction of Magdeburg in 1631, he worked in Brunswick and Erfurt as an engineer for the Swedish government, and then in 1635 for the Electorate of Saxony. He was Mayor of Magdeburg for thirty years, between 1646 and 1676. He was ennobled in 1666 and retired from public office in 168land went to Hamburg. It was through his attendances at international congresses and at princely courts that he took part in the exchange of scientific ideas.From his student days he was concerned with the definition of space and posed three questions: can empty space exist or is space always filled? How can heavenly bodies affect each other across space and how are they moved? Is space, and so also the heavenly bodies, bounded or unbounded? In c. 1647 Guericke made a suction pump for air and tried to exhaust a beer barrel, but he could not stop the leaks. He then tried a copper sphere, which imploded. He developed a series of spectacular demonstrations with his air pump. In 1654 at Rattisbon he used a vertical cylinder with a well-fitting piston connected over pulleys by a rope to fifty men, who could not stop the piston descending when the cylinder was exhausted. More famous were his copper hemispheres which, when exhausted, could not be drawn apart by two teams of eight horses. They were first demonstrated at Magdeburg in 1657 and at the court in Berlin in 1663. Through these experiments he discovered the elasticity of air and began to investigate its density at different heights. He heard of the work of Torricelli in 1653 and by 1660 had succeeded in making barometric forecasts. He published his famous work New Experiments Concerning Empty Space in 1672. Between 1660 and 1663 Guericke constructed a large ball of sulphur that could be rotated on a spindle. He found that, when he pressed his hand on it and it was rotated, it became strongly electrified; he thus unintentionally became the inventor of the first machine to generate static electricity. He attempted to reach a complete physical explanation of the world and the heavens with magnetism as a primary force and evolved an explanation for the rotation of the heavenly bodies.[br]Bibliography1672, Experimenta nova (ut vocantur) Magdeburgica de vacuo spatio (New Experiments Concerning Empty Space).Further ReadingF.W.Hoffmann, 1874, Otto von Guericke (a full biography).T.I.Williams (ed.), 1969, A Biographical Dictionary of Scientists, London: A. \& C.Black (contains a short account of his life).Chambers Concise Dictionary of Scientists, 1989, Cambridge.Dictionary of Scientific Biography, Vol. V, New York.C.Singer (ed.), 1957, A History of Technology, Vols. III and IV, Oxford University Press (includes references to Guericke's inventions).RLH -
11 extension
1) надставка; насадка2) удлинитель3) выступающая часть, консольная часть4) пристройка5) продление; продолжение6) простирание; протяжённость; распространение7) растяжение; распрямление8) сварка установочная длина9) геод. сгущение сети опорных точек10) расширение; удлинение; добавление; увеличение11) экстенсия, разгибание•extension in space — матем. протяжённость в пространстве
extension by definition — матем. расширение с помощью определений
extension by adjunction — матем. расширение путём присоединения
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12 metric
1) метрика || метрический•metric on manifold — мат. метрика на многообразии
metric with nonnegative curvature — геом. метрика неотрицательной кривизны
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13 group
1) группа, ансамбль || групповой- roughing mill group2) совокупность; комплект3) группировка || группировать(ся)5) класс; категория || классифицировать; категоризировать6) хим. остаток7) сгусток; скопление8) узел9) матем. группа- absolute free group - absolute homotopy group - absolutely irreducible group - absolutely simple group - additively written group - adele group - adelic group - algebraically compact group - algebraically simple group - almost connected group - almost cyclic group - almost ordered group - almost periodic group - almost simple group - alternating form group - cancellative group - cellular homology group - characteristically simple group - complementing group - completely anisotropic group - completely discontinuous group - completely divisible group - completely indecomposable group - completely integrally closed group - deficient group - direct homology group - direct indecomposable group - doubly transitive group - finitely defined group - finitely generated group - finitely presented group - finitely related group - first homology group - first homotopy group - freely generated group - full linear group - full orthogonal group - full rotation group - full symmetric group - full unimodular group - group of classes of algebras - group of covering transformations - group of finite rank - group of infinite order - group of infinite rank - group of inner automorphisms - group of linear equivalence - group of linear forms - group of linear manifold - group of principal ideles - group of real line - group of recursive permutations - group of right quotients - idele class group - linearly ordered group - linearly transitive group - locally bicompact group - locally closed group - locally compact group - locally connected group - locally cyclic group - locally defined group - locally embeddable group - locally finite group - locally free group - locally infinite group - locally nilpotent group - locally normal group - locally solvable group - multiply primitive group - multiply transitive group - nonsolvable group - n-th homotopy group - ordered pair group - principal congruence group - properly orthogonal group - properly unimodular group - pure projective group - pure rotation group - pure simple group - quasipure projective group - quotient divisible group - residually nilpotent group - restricted holonomy group - sharply transitive group - simply ordered group - simply reducible group - simply transitive group - singular cogomology group - singular homology group - solvable group - stable group - strictly transitive group - strongly polycyclic group - subsolvable group - supersolvable group - totally ordered group - totally projective group - totally reducible group - triply transitive group - unitary symmetry group - unitary transformation group - value group - weak homology group - weakly mixing groupgroup with multiple operators — группа с многоместными операторами, мультиоператорная группа
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14 representation
1) изображение2) отображение; представление•- completely irreducible representation - completely reduced representation - completely reducible representation - discrete representation - finitely related representation - identity representation - locally constant representation - locally faithful representation - strongly rational representation - totally reducible representation
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