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1 unbounded set
Большой англо-русский и русско-английский словарь > unbounded set
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2 unbounded set
Математика: неограниченное множество -
3 unbounded set
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4 unbounded set
எல்லையில்லாக்கூட்டம் -
5 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 -
6 неограниченное множество
Большой англо-русский и русско-английский словарь > неограниченное множество
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7 metrically
метрически metrically bounded functional ≈ метрически ограниченный функционал metrically bounded set ≈ метрически ограниченное множество metrically closed ideal ≈ метрически замкнутый идеал metrically complete hull ≈ метрически полная оболочка metrically complete lattice ≈ метрически полная решетка metrically convergent sequence ≈ метрически сходящаяся последовательность metrically dense set ≈ метрически плотное множество metrically equal spaces ≈ изометрические пространства metrically homogeneous space ≈ метрически однородное пространство metrically reduced module ≈ метрически приведенный модуль metrically reduced ring ≈ метрически приведенное кольцо metrically regular graph ≈ метрически однородный [метрически регулярный] граф metrically simple lattice ≈ метрически простая решетка metrically transitive flow ≈ метрически транзитивный [эргодический] поток metrically transitive process ≈ метрически транзитивный процесс metrically transitive sequence ≈ метрически транзитивная последовательность, эргодическая последовательность metrically transitive transformation ≈ метрически транзитивное преобразование metrically unbounded functional ≈ метрически неограниченный функционал metrically uniform space ≈ метрически равномерное пространство - converge metrically - metrically Chebysheff - metrically closed - metrically compact - metrically complete - metrically connected - metrically convex - metrically decomposable - metrically dense - metrically equal - metrically invariant - metrically simple - metrically transitive - metrically unbounded - metrically uniform - metrically uniformly метрический ;
Большой англо-русский и русско-английский словарь > metrically
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8 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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9 variance
ˈvɛərɪəns сущ.
1) разногласие;
размолвка;
спор, конфликт to set at variance ≈ вызывать конфликт, приводить к столкновению;
ссорить be at variance Syn: tiff, quarrel
2) изменение, колебание
3) несоответствие, несходство, различие, расхождение Syn: discrepancy, disparity
4) биол. отклонение от вида, типа изменение;
колебание - *s in temperature колебания температуры - fortune's * изменчивость судьбы часто (юридическое) расхождение, несоответствие;
противоречие( в показаниях и т. п.) - to be at * расходиться во мнениях, не соглашаться - historians are at * on this point мнения историков по этому вопросу расходятся противоречить, не совпадать - the witnesses are at * показания свидетелей расходятся - the theory is at * with all that is known on the subject эта теория идет вразрез со всем, что известно по этому предмету разногласие;
спор;
конфликт;
ссора - at * в ссоре - family at * недружная семья - states of at * государства, между которыми возник конфликт - to set at * ссорить, вызывать конфликт - I have had a slight * with him у меня с ним произошла размолвка (биология) отклонение от вида, типа (специальное) степень свободы (статистика) дисперсия;
среднее отклонение - analysis of * дисперсионный анализ accidental ~ случайная дисперсия asymptotic ~ асимптотическое значение дисперсии asymptotical ~ асимптотическое значение дисперсии at ~ with в противоречии с average ~ средняя дисперсия to be at ~ быть в ссоре;
to set at variance вызывать конфликт, приводить к столкновению;
ссорить to be at ~ расходиться во мнениях;
находиться в противоречии bounded ~ ограниченная дисперсия conditional ~ условная дисперсия cost ~ отклонения от нормативных затрат cost-centre ~ отклонение от нормативных затрат empiric ~ эмпирическая дисперсия empirical ~ эмпирическая дисперсия error ~ дисперсия ошибки estimated ~ оценка дисперсии generalized ~ обобщенная дисперсия internal ~ внутренняя дисперсия labour efficiency ~ колебание производительности труда limiting ~ предельная дисперсия material price ~ разность цен на материалы minimum ~ наименьшая дисперсия negative volume ~ уменьшение объема overhead ~ отклонение накладных расходов от норматива posteriori ~ апостериорная дисперсия quantity ~ дисперсия количества relative ~ относительная дисперсия residual ~ остаточная дисперсия sample ~ выборочная дисперсия total ~ полная дисперсия true ~ истинная дисперсия unbounded ~ неограниченная дисперсия unfavourable volume ~ снижение объема производства unit ~ единичная дисперсия universe ~ дисперсия генеральной совокупности variance стат. дисперсия ~ дисперсия ~ изменение ~ изменчивость ~ несоответствие ~ отклонение ~ биол. отклонение от вида, типа ~ противоречие в показаниях ~ разница ~ разногласие;
размолвка ~ разногласие ~ рассеяние ~ расхождение, несоответствие ~ расхождение ~ среднее отклонение ~ ссора ~ about a mean дисперсия относительно средней ~ about regression дисперсия относительно регрессии ~ about the mean дисперсия относительно средней ~ of event times дисперсия времени наступления события zero ~ нулевая дисперсияБольшой англо-русский и русско-английский словарь > variance
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10 measure
1) мера2) мероприятие3) средство измерения || измерять4) критерий; мерило5) мерная посуда || отмеривать; дозировать6) полигр. формат полосы набора•fundamental in measure — мат. фундаментальный по мере
measure with basis — мат. мера с базисом
measure with value — мат. мера со значением
measure on intervals —мат. мера на интервалах
measure on rings — мат. мера на кольцах
of zero measure — мат. нульмерный
precision measure by external consistency — мат. мера точности по внешней совместности, мера точности переопределённых исходных уравнений
precision measure by internal consistency — мат. мера точности по внутренней совместности, мера точности по оценке экспериментальной погрешности исходных данных
to measure up — соответствовать, удовлетворять ( требованиям)
- completely random measure - locally finite measure - measure of relative skewness - normed measure - strongly dominant measure - totally finite measureto take measure — швейн. снимать мерку
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11 box
1) блок, модуль, стойка2) окно (окошко); [управляющая] пиктограммапиктограмма в небольшом прямоугольнике, элемент [строки меню] графического интерфейса пользователя на экране3) сленг компьютер4) прямоугольник; поле, окно8) упаковыватьАнгло-русский толковый словарь терминов и сокращений по ВТ, Интернету и программированию. > box
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12 element
1) элемент, компонент, деталь, составная часть2) звено; блок; модуль3) устройство, узел4) орган5) датчик, первичный элемент6) элемент, параметр• -
13 frontier
граница || краевой; пограничный -
14 kernel
1) зерно, зёрнышко2) керн3) матем. кернфункция4) сердцевина; ядро•kernel on the left — алг. ядро слева
kernel on the right — алг. ядро справа
kernel with a summable square — алг. ядро с суммируемым квадратом
- intrinsically singular kernel - kernel of a linear operator - kernel of a singular integral - kernel of a summation method - kernel of integral operator - kernel of integral transformation - locally finite kernel - nonpositive definite kernel - proper covariance kernelkernel with a weak singularity — алг. ядро со слабой особенностью
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15 transformation
трансформация, трансформирование; превращение; преобразование- completely reducible transformation - convexity preserving transformation - identity transformation - inverted transformation - locally isomorphic transformation - locally linear transformation - locally quadratic transformation - normal transformation of binomial distribution - probability integral transformation - proper birational transformation - recursive transformation - uniform probability transformation - uniformly continuous transformation - uniformly regular transformation - weakly compact transformation - weakly completely continuous transformation - weakly mixing transformation - weakly open transformation - weakly separable transformation -
16 variable
1) переменная (величина) || переменный2) изменчивый3) изменяемый; варьируемый4) регулируемый•variable unrestricted in sign — переменная, не ограниченная в знаке
- absolutely integrable variable - anonymous free variable - complex free variable - complex random variable - discontinuous variable - discrete random variable - discrete variable variable - discrete variable - essentially free variable - excessive random variable - exchangeable random variables - generalized random variable - geometric random variable - infinitesimal random variable - jointly normal random variables - linguistic random variable - multinomial random variable - multinormal random variable - multiplicative random variable - mutually independent random variables - nonanticipative random variable - normed random variable - number variable - optimal stopping variable - orthonormal random variables - pairwise independent random variables - spatial variable - symmetrized random variable - two-state variable - two-valued variable - uniformly limited variableto separate variables — мат. разделять переменные
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17 complete
1. a полный2. a законченный3. a совершенный, абсолютныйcomplete master of fence — настоящий мастер фехтования, искусный фехтовальщик
4. v заканчивать, завершать5. v укомплектовать6. v сделать совершеннымthus their happiness was complete — итак, они были совершенно счастливы
7. v редк. исполнять, выполнятьСинонимический ряд:1. concluded (adj.) completed; concluded; consummated; done; down; effected; ended; finalized; finished; fully developed; terminated; through2. downright (adj.) categorical; clear-cut; downright; fundamental; outright; sweeping; through-and-through3. perfect (adj.) exemplary; exquisite; flawless; ideal; model; perfect; superlative; unblemished4. total (adj.) all-out; arrant; consummate; exhaustive; full-dress; intensive; out-and-out; pure; sheer; thorough; thoroughgoing; total; unbounded; unequivocal; unmitigated; unqualified; unrelieved; whole-hog5. unabridged (adj.) unabbreviated; unabridged; uncondensed; uncut; undocked; unexpurgated; whole-length6. utter (adj.) all-fired; black; blamed; blank; blankety-blank; blasted; bleeding; blessed; blighted; blinding; blithering; blue; confounded; crashing; dad-blamed; dad-blasted; dad-burned; damned; dang; darn; dashed; deuced; doggone; double-distilled; double-dyed; durn; utter7. whole (adj.) absolute; all; choate; comprehensive; entire; full; good; gross; intact; integral; radical; round; undiminished; undivided; whole8. achieve (verb) accomplish; achieve; actualise; actualize; carry out; effect; effectuate; execute; fulfil; fulfill; implement; perform9. close (verb) cease; clinch; close; conclude; consummate; determine; do; end; finish; halt; realise; realize; settle; terminate; ultimate; wind up; wrap up10. complement (verb) complement; crown; fill out; perfect; round off; round out; supplementАнтонимический ряд:begin; cease; commence; defective; deficient; fail; forget; forsake; halt; ignore; imperfect; inadequate; incomplete; initiate; lacking; partial -
18 infinite
1. n бесконечность, бесконечное пространство или время; безграничность2. n разг. масса, множество3. n мат. бесконечно большая величина4. a бесконечный, беспредельный, безграничный5. a мат. бесконечный; бесконечно большой6. a эмоц. -усил. несметный, неисчислимый; бесчисленный7. a грам. неличный8. a тех. сверхчувствительныйСинонимический ряд:1. countless (adj.) countless; immeasurable; inestimable; innumerable; measureless; uncountable2. endless (adj.) boundless; endless; eternal; illimitable; indefinite; interminable; limitless; perdurable; sempiternal; supertemporal; unbounded; unfathomable; unlimited; unmeasured; utterly immense3. eternal (adj.) eternalАнтонимический ряд: -
19 perfect
1. a совершенный, безупречный, идеальный, прекрасныйpast perfect — прошедшее совершенное, перфектное время
2. a полный3. a точныйperfect register — точная приводка, точное совмещение
4. a чистый, без примесей5. a законченный, полный, абсолютный6. a хорошо подготовленный, достигший совершенства7. a разг. приятный, чудесный8. a эмоц. -усил. совершенный, настоящийin perfect sincerity — совершенно откровенно, с полной откровенностью
9. a полигр. бесшвейный10. v совершенствовать, улучшать11. v совершенствоваться12. v завершать, заканчивать, выполнять13. v полигр. печатать на оборотной стороне листа14. n грам. перфект15. a грам. перфектныйСинонимический ряд:1. absolute (adj.) absolute; consummate; fleckless; impeccable; indefectible; note-perfect; unflawed2. exact (adj.) definite; distinct; exact; precise; sharp; sound; thorough; typical3. expert (adj.) accomplished; adept; adroit; expert; skilled4. faultless (adj.) excellent; exquisite; faultless; immaculate; matchless; taintless5. finished (adj.) completed; finished; full6. flawless (adj.) flawless; inviolate; unblemished7. model (adj.) exemplary; ideal; model; supreme; very8. total (adj.) all-out; arrant; downright; out-and-out; outright; plain; pure; pure and simple; sheer; simple; thoroughgoing; total; unadulterated; unalloyed; unbounded; undiluted; unequivocal; unmitigated; unmixed; unqualified; unrelieved9. utter (adj.) all-fired; black; blamed; blank; blankety-blank; blasted; bleeding; blessed; blighted; blinding; blithering; blue; confounded; crashing; dad-blamed; dad-blasted; dad-burned; damned; dang; darn; dashed; deuced; doggone; double-distilled; durn; utter10. whole (adj.) choate; complete; entire; good; intact; integral; round; unbroken; undamaged; unhurt; unimpaired; uninjured; unmarred; untouched; whole11. accomplish (verb) accomplish; achieve; complete; consummate; finish; fulfil; fulfill12. polish (verb) complement; polish; purify; refine; round; sleek; slick; smoothАнтонимический ряд:bad; damaged; defective; deficient; deformed; faulty; flawed; imperfect; impure; incomplete; inferior; lacking; maladroit; marred; partial; questionable; ruin -
20 total
1. a весь, целый; общий; совокупныйtotal weight — вес брутто, общий вес
2. a полный, абсолютныйtotal blindness — полная слепота, стопроцентная потеря зрения
3. a всеобщий, тотальныйtotal system — полная система; тотальная система
4. v подсчитывать; подводить итог; суммировать5. v насчитывать, составлять; достигать, равнятьсяto total 200 dollars — составлять в сумме двести долларов, доходить до двухсот долларов
6. v амер. сл. разбить, разломать7. v амер. сл. разбиться; убитьсяСинонимический ряд:1. all-out (adj.) all-out; full-blown; full-out; full-scale; unlimited; unrestricted2. complete (adj.) absolute; all; arrant; complete; comprehensive; consummate; downright; entire; final; finished; gross; inclusive; out-and-out; outright; perfect; pure; sheer; thorough; thoroughgoing; unbounded; unequivocal; unmitigated; unqualified; unrelieved; whole3. totalitarian (adj.) authoritarian; totalistic; totalitarian4. utter (adj.) all-fired; black; blamed; blank; blankety-blank; blasted; bleeding; blessed; blighted; blinding; blithering; blue; confounded; crashing; dad-blamed; dad-blasted; dad-burned; damned; dang; darn; dashed; deuced; doggone; double-distilled; durn; utter5. whole (adj.) all; entire; whole6. body (noun) aggregate; amount; body; budget; bulk; quantity; quantum7. whole (noun) all; be-all and end-all; entirety; gross; number; sum; sum total; summation; tale; totality; whole8. add (verb) add; amount to; calculate; cast; count; figure; foot; sum; summate; tally; tot; totalize; tote9. amount (verb) add up; aggregate; amount; come; number; reach; run; run into; run to; sum into; sum to10. finish (verb) demolish; destroy; dynamite; finish; ruin; shatter; sink; smash; torpedo; undo; wrack; wreckАнтонимический ряд:fraction; limited; partial; slight; subtract
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List of exceptional set concepts — This is a list of exceptional set concepts. In mathematics, and in particular in mathematical analysis, it is very useful to be able to characterise subsets of a given set X as small , in some definite sense, or large if their complement in X is… … Wikipedia
Club set — In mathematics, particularly in mathematical logic and set theory, a club set is a subset of a limit ordinal which is closed under the order topology, and is unbounded relative to the limit ordinal. The name club is a contraction of closed and… … Wikipedia
Bounded set — In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely a set which is not bounded is called unbounded. Definition A set S of real numbers is called bounded from … Wikipedia
Stationary set — In mathematics, particularly in set theory and model theory, there are at least three notions of stationary set:Classical notionIf kappa is a cardinal of uncountable cofinality, Csubseteqkappa, and C intersects every club in kappa, then C is… … Wikipedia
Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment … Wikipedia
Internal set theory — (IST) is a mathematical theory of sets developed by Edward Nelson which provides an axiomatic basis for a portion of the non standard analysis introduced by Abraham Robinson. Instead of adding new elements to the real numbers, the axioms… … Wikipedia
Bounded set (topological vector space) — In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include the set. Conversely a set which is not… … Wikipedia
Filled Julia set — The filled in Julia set K(f c) of a polynomial f c is defined as the set of all points z, of dynamical plane that have bounded orbit with respect to f c K(f c) overset{underset{mathrm{def{{=} { z in mathbb{C} : f^{(k)} c (z) ot o infty as k o… … Wikipedia
Multibrot set — Click to play video of multibrot set with d changing from 0 to 8 In mathematics, a multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic … Wikipedia
Bounded (set theory) — In set theory a subset X of a limit ordinal lambda; is said to be bounded if its supremum is less than lambda;. If it is not bounded, it is unbounded, that is:sup(X)= lambda.,For functions, bounded or unboundedness refers to the range of the… … Wikipedia