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1 equivalent sets
Большой англо-русский и русско-английский словарь > equivalent sets
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2 equivalent sets
Математика: эквивалентные множества -
3 equivalent sets
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4 effectively equivalent sets
Математика: эффективно эквивалентные множестваУниверсальный англо-русский словарь > effectively equivalent sets
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5 potentially equivalent sets
Математика: потенциально эквивалентные множестваУниверсальный англо-русский словарь > potentially equivalent sets
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6 recursively equivalent sets
Математика: рекурсивно эквивалентные множестваУниверсальный англо-русский словарь > recursively equivalent sets
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7 topologically equivalent sets
Математика: топологически эквивалентные множестваУниверсальный англо-русский словарь > topologically equivalent sets
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8 topologically equivalent sets
English-Russian scientific dictionary > topologically equivalent sets
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9 recursively
1) рекурсно
2) рекурсивно
3) рекуррентно ∙ completely recursively enumerable class ≈ вполне рекурсивно перечислимый класс general recursively inequal numbers ≈ общерекурсивно неравные числа general recursively irrational number ≈ общерекурсивно иррациональное число general recursively true ≈ общерекурсивно истинный general recursively true formula ≈ общерекурсивно истинная формула primitive recursively true ≈ примитивно-рекурсивно истинный recursively approximable set ≈ рекурсивно аппроксимируемое множество recursively axiomatizable theor ≈ рекурсивно аксиоматизируемая теория recursively axiomatized theor ≈ рекурсивно аксиоматизированная теория recursively bounded quantifier ≈ рекурсивно ограниченный квантор recursively calculable function ≈ рекурсивно вычислимая функция recursively complex number ≈ рекурсивно комплексное число recursively continuous function ≈ рекурсивно непрерывная функция recursively convergent function ≈ рекурсивно сходящаяся функция recursively convergent sequence ≈ рекурсивно сходящаяся последовательность recursively creative set ≈ рекурсивно креативное множество recursively defined function ≈ рекуррентно определенная функция recursively defined sequence ≈ рекурсивно определенная последовательность recursively differentiable function ≈ рекурсивно дифференцируемая функция recursively divergent function ≈ рекурсивно расходящаяся функция recursively divergent sequence ≈ рекурсивно расходящаяся последовательность recursively enumerable cylinder ≈ рекурсивно перечислимый цилиндр recursively enumerable degree ≈ рекурсивно перечислимая степень recursively enumerable index ≈ рекурсивно перечислимый индекс recursively enumerable ordinal ≈ рекурсивно перечислимое порядковое число recursively enumerable predicate ≈ рекурсивно перечислимый предикат recursively enumerable problem ≈ рекурсивно перечислимая проблема recursively enumerable relation ≈ рекурсивно перечислимое отношение recursively enumerable sequence ≈ рекурсивно перечислимая последовательность recursively enumerable set ≈ рекурсивное перечислимое множество recursively enumerable structure ≈ рекурсивно перечислимая структура recursively enumerable subclass ≈ рекурсивно перечислимый подкласс recursively enumerable subset ≈ рекурсивно перечислимое подмножество recursively enumerable theor ≈ рекурсивно перечислимая теория recursively equivalent sets ≈ рекурсивно эквивалентные множества recursively extensible function ≈ рекурсивно продолжаемая функция recursively incompletable theor ≈ рекурсивно непополнимая теория recursively indecomposable set ≈ рекурсивно неразложимое множество recursively inseparable sets ≈ рекурсивно неотделимые множества recursively invariant concept ≈ рекурсивно инвариантное понятие recursively invariant relation ≈ рекурсивно инвариантное отношение recursively isomorphic set ≈ рекурсивно изоморфное множество recursively presentable structure ≈ рекурсивно представимая структура recursively presented group ≈ рекурсивно определенная группа recursively productive set ≈ рекурсивно продуктивное множество recursively real number ≈ рекурсивно вещественное число recursively related system of notation ≈ рекурсивная по упорядочению система обозначений recursively representable operation ≈ рекурсивно представимая операция recursively representable relation ≈ рекурсивно представимое отношение recursively separable sets ≈ рекурсивно отделимые множества recursively solvable problem ≈ рекурсивно разрешимая проблема recursively undecidable theor ≈ рекурсивно неразрешимая теория recursively unequal numbers ≈ рекурсивно неравные числа - recursively axiomatized - recursively calculable - recursively closed - recursively computable - recursively conditional - recursively continuous - recursively convergent - recursively differentiable - recursively divergent - recursively enumerable - recursively equivalent - recursively expressible - recursively extensible - recursively inseparable - recursively isomorphic - recursively isotonic - recursively presentable - recursively projective - recursively realizable - recursively representable - recursively soluble - recursively true - recursively unsolvable РекурсивноБольшой англо-русский и русско-английский словарь > recursively
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10 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 -
11 topologically
топологически topologically allowed paths ≈ топологически разрешенная траектория topologically closed space ≈ топологически замкнутое пространство topologically compact chain ≈ топологически компактная цепь topologically complete field ≈ топологически полное поле topologically complete group ≈ топологически полная группа topologically complete quadrangle ≈ топологически полный четырехугольник topologically complete space ≈ топологически полное пространство topologically conjugate diffeomorphisms ≈ топологически сопряженные диффеоморфизмы topologically dense lattice ≈ топологически плотная решетка topologically dense substructure ≈ топологически плотная подструктура topologically equivalent distances ≈ топологически эквивалентные расстояния topologically equivalent metric ≈ топологически эквивалентные метрики topologically equivalent sets ≈ топологически эквивалентные множества topologically equivalent spaces ≈ топологически эквивалентные пространства, гомеоморфные пространства topologically free family ≈ топологически свободное семейство topologically free set ≈ топологически свободное множество topologically homogeneous space ≈ топологически однородное пространство topologically irreducible representation ≈ топологически неприводимое представление topologically isomorphic groups ≈ топологически изоморфные группы topologically solvable group ≈ топологически разрешимая группа topologically symmetrical algebra ≈ топологически симметрическая алгебра topologically uniformizing structure ≈ топологически униформизующаяся структура topologically universal object ≈ топологически универсальный объект - topologically compact - topologically complete - topologically contained - topologically correct - topologically dense - topologically equivalent - topologically free - topologically isomorphic - topologically parallel - topologically pseudoisotopic - topologically solvable - topologically stable - topologically symmetricБольшой англо-русский и русско-английский словарь > topologically
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12 эквивалентные множества
Большой англо-русский и русско-английский словарь > эквивалентные множества
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13 potentially
потенциально potentially calculable function ≈ потенциально вычислимая функция potentially compact endomorphism ≈ потенциально компактный эндоморфизм potentially equivalent sets ≈ потенциально эквивалентные множества potentially invertible element ≈ потенциально обратимый элемент potentially invertible subset ≈ потенциально обратимое подмножество potentially recursive function ≈ потенциально рекурсивная функция - potentially calculable - potentially invertible - potentially recursive - potentially true adv возможноБольшой англо-русский и русско-английский словарь > potentially
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14 linearly
линейно, линейно зарегистрированный algebra of linearly bounded degree ≈ алгебра линейно ограниченной степени bisymmetric linearly ordered groupoid ≈ бисимметричный линейно упорядоченный группоид linearly accessible point ≈ линейно достижимая точка linearly bounded automaton ≈ линейно ориентированный автомат linearly bounded set ≈ линейно ограниченное множество linearly censored sample ≈ линейно цензурированная выборка linearly compact algebra ≈ линейно компактная алгебра linearly compact product ≈ линейно компактное произведение linearly compact ring ≈ линейно компактное кольцо linearly compact space ≈ линейно компактное пространство linearly connected space ≈ линейно связное пространство linearly constrained minimization ≈ минимизация при линейных ограничениях linearly constrained optimization ≈ оптимизация при линейных ограничениях linearly dependent forms ≈ линейно зависимые формы linearly dependent function ≈ линейно зависимая функция linearly dependent matrices matrix ≈ линейно зависимые матрицы linearly dependent numbers ≈ линейно зависимые числа linearly dependent polynomials ≈ линейно зависимые многочлены linearly dependent rays ≈ линейно зависимые лучи linearly dependent sets ≈ линейно зависимые множества linearly dependent solutions ≈ линейно зависимые решения linearly dependent subset ≈ линейно зависимое подмножество linearly dependent system ≈ линейно зависимая система linearly dependent vectors ≈ линейно зависимые векторы linearly dependet points ≈ линейно зависимые точки linearly disjoint extensions ≈ линейно свободные расширения, линейно разделенные расширения linearly disjoint fields ≈ линейно разделенные поля linearly equivalent curves ≈ линейно эквивалентные кривые linearly equivalent divisors ≈ линейно эквивалентные дивизоры linearly equivalent ideals ≈ линейно эквивалентные идеалы linearly equivalent operators ≈ линейно эквивалентные операторы linearly estimable parameter ≈ линейно оцениваемый параметр linearly free sequence ≈ линейно свободная последовательность linearly homeomorphic spaces ≈ линейно гомеоморфные пространства linearly implicit method ≈ линейно неявный метод linearly independent divisors ≈ линейно независимые дивизоры linearly independent elements ≈ линейно независимые элементы linearly independent equations ≈ линейно независимые уравнения linearly independent family ≈ линейно независимое семейство linearly independent fields ≈ линейно независимые поля linearly independent forms ≈ линейно независимые формы linearly independent groups ≈ линейно независимые группы linearly independent irrationals ≈ линейно независимые иррациональные числа linearly independent numbers ≈ линейно независимые числа linearly independent points ≈ линейно независимые точки linearly independent polynomials ≈ линейно независимые многочлены linearly independent quantitys ≈ линейно независимые величины linearly independent random variables ≈ линейно независимые случайные величины linearly independent rays ≈ линейно независимые лучи linearly independent sequence ≈ линейно независимая последовательность linearly independent sets ≈ линейно независимые множества linearly independent solution ≈ линейно независимое решение linearly independent solutions ≈ линейно независимые решения linearly independent subset ≈ линейно независимое подмножество linearly independent system ≈ линейно независимая система linearly independent tensor ≈ линейно независимый тензор linearly independent terms ≈ линейно независимые члены linearly independent vectors ≈ линейно независимые векторы linearly ordered class ≈ линейно упорядоченный класс linearly ordered set ≈ линейно упорядоченное множество linearly ordered space ≈ линейно упорядоченное пространство linearly polarized wave ≈ плоскополяризованная волна linearly regular process ≈ линейно регулярный процесс linearly separable function ≈ линейно разделимая функция linearly singular distribution ≈ линейно сингулярное [линейно вырожденное] распределение linearly singular process ≈ линейно сингулярный процесс linearly sufficient statistic ≈ линейно достаточная статистика linearly topological algebra ≈ линейно топологическая алгебра linearly topologized space ≈ линейно топологизированное пространство linearly transitive group ≈ линейно транзитивная группа linearly truncated sample ≈ линейно усеченная выборка linearly weighted mean ≈ линейно взвешенное среднее - linearly attainable - linearly compact - linearly connected - linearly dependent - linearly disjoint - linearly equivalent - linearly flat - linearly homeomorphic - linearly independent - linearly isomorphic - linearly ordered - linearly separable - linearly singular - linearly sufficient - linearly topologized - linearly transitive - linearly truncated - linearly unmeasurable - linearly weighted ЛинейноБольшой англо-русский и русско-английский словарь > linearly
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15 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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16 system
1) система; комплекс2) совокупность•- absolutely consistent system - absolutely direct indecomposable system - absolutely free system - absolutely irreducible system - absolutely isolated system - allowable coordinate system - almost linear system - ample linear system - artificial feel system - automatic block system - automatic deicing system - binary relational system - binary-coded decimal system - block tooling system - Cartesian coordinate system - completely controllable system - completely ergodic system - completely hyperbolic system - completely identifiable system - completely integrable system - completely irreducible system - completely regular system - completely stable system - completely stratified system - complex number system - conical coordinate system - derivational formal system - differential equation system - differential selsyn system - digital counting system - digital transmission system - elliptic coordinate system - elliptic cylindrical coordinate system - externally inconsistent system - finite state system - finitely axiomatizable system - finitely presented system - fully characteristic quotient system - fundamental system of solutions - hydraulic lift system - integrated switching system - isomorphically embedded system - kernel normal system - linearly dependent system - linearly independent system - live hydraulic system - locking protection system - meteor-burst communication system - modular programming system - parabolic cylindrical coordinate system - permanent four-wheel drive system - pure independent system - radio telephone system - reactor protection system - real number system - receiver-amplifier crioelectric system - remote-cylinder hydraulic system - semantically consistent system - simply consistent system - simply incomplete system - simply ordered system - spherical coordinate system - strongly multiplicative system - structurally stable system - sufficiently general coordinate system - system of frequency curves - system of rational numbers - time multiplex system - time-division multiplex system - uniformly complete system - univalent system of notation - universal system of notation - weakly closed system - weighted number system -
17 topological
топологический base of topological space ≈ база топологического пространства basis of topological space ≈ базис топологического пространства category of topological space ≈ категория топологического пространства dual topological unitarization ≈ дуально топологическая унитаризация general topological space ≈ общетопологическое пространство hyperemetric topological group ≈ гиперметрическая топологическая группа hypermetric topological group ≈ гиперметрическая топологическая группа linearly topological algebra ≈ линейно топологическая алгебра local topological structure ≈ локальная топологическая структура topological direct integral ≈ топологический прямой интеграл topological direct summand ≈ топологическое прямое слагаемое topological field of sets ≈ топологическое тело множеств topological group extension ≈ топологическое расширение группы topological spectral value ≈ топологическое спектральное значение topological vector lattice ≈ топологическая векторная решетка - topological conjugacy - topological contractibility - topological convergence - topological correspondence - topological covering - topological decomposition - topological deformation - topological dimension - topological distribution - topological divisor - topological dual - topological duality - topological dynamics - topological embedding - topological entropy - topological equivalence - topological equivalent - topological field - topological flow - topological formula - topological formulation - topological game - topological genus - topological graph - topological group - topological groupoid - topological homeomorphism - topological homogeneity - topological homomorphism - topological identification - topological image - topological inclusion - topological index - topological interpretation - topological invariance - topological invariant - topological irreducibility - topological isomorphism - topological knot - topological lattice - topological limit - topological line - topological logic - topological manifold - topological method - topological model - topological modification - topological module - topological monoid - topological morphism - topological neighborhood - topological nilpotent - topological noise - topological object - topological ordering - topological pair - topological partition - topological plane - topological polygon - topological polyhedron - topological polynomial - topological product - topological proof - topological property - topological pseudoisotopy - topological quasicomponent - topological quotient - topological rank - topological realization - topological recurrence - topological relationship - topological representation - topological restriction - topological result - topological ring - topological section - topological self-mapping - topological semigroup - topological semimodule - topological sequence - topological similarity - topological simplex - topological sorting - topological space - topological sphere - topological stability - topological structure - topological subgroup - topological subspace - topological substitute - topological sum - topological supplement - topological surface - topological transformation - topological transitivity - topological tree - topological triangle - topological type - topological uniformization - topological weight (математика) топологическийБольшой англо-русский и русско-английский словарь > topological
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18 correspond
∎ the two sets of figures don't correspond les deux séries de chiffres ne correspondent pas -
19 product
1) продукт, изделие; товар2) мат. произведение, результат умножения3) результат, итог4) pl продукция•- absolutely free product - complete regular product - fully regular product - primary forest products - product of measure spaces - product of vector spaces - scalar triple product - semiinner product - semiscalar product - triple vector product - usual inner product - vector triple productto draw off an overhead product — хим. отбирать дистиллят
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20 Education
In Portugal's early history, education was firmly under the control of the Catholic Church. The earliest schools were located in cathedrals and monasteries and taught a small number of individuals destined for ecclesiastical office. In 1290, a university was established by King Dinis (1261-1325) in Lisbon, but was moved to Coimbra in 1308, where it remained. Coimbra University, Portugal's oldest, and once its most prestigious, was the educational cradle of Portugal's leadership. From 1555 until the 18th century, primary and secondary education was provided by the Society of Jesus (Jesuits). The Catholic Church's educational monopoly was broken when the Marquis of Pombal expelled the Jesuits in 1759 and created the basis for Portugal's present system of public, secular primary and secondary schools. Pombal introduced vocational training, created hundreds of teaching posts, added departments of mathematics and natural sciences at Coimbra University, and established an education tax to pay for them.During the 19th century, liberals attempted to reform Portugal's educational system, which was highly elitist and emphasized rote memorization and respect for authority, hierarchy, and discipline.Reforms initiated in 1822, 1835, and 1844 were never actualized, however, and education remained unchanged until the early 20th century. After the overthrow of the monarchy on the Fifth of October 1910 by Republican military officers, efforts to reform Portugal's educational system were renewed. New universities were founded in Lisbon and Oporto, a Ministry of Education was established, and efforts were made to increase literacy (illiteracy rates being 80 percent) and to resecularize educational content by introducing more scientific and empirical methods into the curriculum.Such efforts were ended during the military dictatorship (192632), which governed Portugal until the establishment of the Estado Novo (1926-74). Although a new technical university was founded in Lisbon in 1930, little was done during the Estado Novo to modernize education or to reduce illiteracy. Only in 1964 was compulsory primary education made available for children between the ages of 6 and 12.The Revolution of 25 April 1974 disrupted Portugal's educational system. For a period of time after the Revolution, students, faculty, and administrators became highly politicized as socialists, communists, and other groups attempted to gain control of the schools. During the 1980s, as Portuguese politics moderated, the educational system was gradually depoliticized, greater emphasis was placed on learning, and efforts were made to improve the quality of Portuguese schools.Primary education in Portugal consists of four years in the primary (first) cycle and two years in the preparatory, or second, cycle. The preparatory cycle is intended for children going on to secondary education. Secondary education is roughly equivalent to junior and senior high schools in the United States. It consists of three years of a common curriculum and two years of complementary courses (10th and 11th grades). A final year (12th grade) prepares students to take university entrance examinations.Vocational education was introduced in 1983. It consists of a three-year course in a particular skill after the 11th grade of secondary school.Higher education is provided by the four older universities (Lisbon, Coimbra, Oporto, and the Technical University of Lisbon), as well as by six newer universities, one in Lisbon and the others in Minho, Aveiro, Évora, the Algarve, and the Azores. There is also a private Catholic university in Lisbon. Admission to Portuguese universities is highly competitive, and places are limited. About 10 percent of secondary students go on to university education. The average length of study at the university is five years, after which students receive their licentiate. The professoriate has four ranks (professors, associate professors, lecturers, and assistants). Professors have tenure, while the other ranks teach on contract.As Portugal is a unitary state, the educational system is highly centralized. All public primary and secondary schools, universities, and educational institutes are under the purview of the Ministry of Education, and all teachers and professors are included in the civil service and receive pay and pension like other civil servants. The Ministry of Education hires teachers, determines curriculum, sets policy, and pays for the building and upkeep of schools. Local communities have little say in educational matters.
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