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1 manifold of points
Большой англо-русский и русско-английский словарь > manifold of points
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2 manifold of points
Математика: точечное многообразие -
3 manifold of points
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4 manifold
1) коллектор; магистраль2) гребёнка4) геом. многообразие5) патрубок6) анат. летошка7) рампа; батарея газовых баллонов8) многократный; многократно9) камера; распределитель10) многообразный; разнообразный; разнородный•manifold with boundary — многообразие с границей, многообразие с краем
- almost homogeneous manifold - almost orientable manifold - almost parallelizable manifold - almost smooth manifold - completely parallelizable manifold - finitely compact manifold - finitely triangulated manifold - globally harmonic manifold - holomorphically convex manifold - locally homogeneous complex manifold - locally plane manifold - locally symmetric manifold - locally trivial manifold - locally unknotted manifold - maximal integral manifold - orbitally asymptotically stable manifold - strongly harmonic manifold - unlimited covering manifold - weighted homogeneous manifoldmanifold without boundaries — многообразие без границ, многообразие с краем
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5 points
статейный action without fixed points ≈ действие без неподвижных точек affine ratio of three points ≈ простое отношение трех точек analytically isomorphic points ≈ аналитически изоморфные точки biregularly corresponding points ≈ бирегулярно соответствующие точки collinearity of three points ≈ нахождение трех точек на одной прямой consisting of nine points ≈ девятиточечный content of set of points ≈ т. мн. объем множества точек;
емкость множества точек coplanarity of four points ≈ компланарность четырех точек cross ratio of four points ≈ сложное [ангармоническое] отношение четырех точек design with eight points ≈ план с восемью точками design with sixteen points ≈ план с 16 точками diameter of set of points ≈ диаметр точечного множества diametrically opposite points ≈ диаметрально противоположные точки distance between two points ≈ расстояние между двумя точками dynamics of mass points ≈ динамика системы точек game with equilibrium points ≈ игра с точками равновесия harmonically conjugate points ≈ гармонически сопряженные точки harmonically separated points ≈ гармонически разделенные точки line covers points ≈ т. граф. ребро покрывает вершину line joins points ≈ т. граф. ребро соединяет вершины linearly dependet points ≈ линейно зависимые точки linearly independent points ≈ линейно независимые точки method of fixed points ≈ метод неподвижных точек method of selected points ≈ метод выбранных точек (построение кривой по точкам, выбранным в качестве представителей групп) mounted abrasive points ≈ тех. инструмент абразивный points joined by line ≈ т. граф. вершины соединены ребром rise between two points ≈ подъем (кривой) между двумя точками sequence of extremal points ≈ последовательность экстремальных точек set of condensation points ≈ множество точек конденсации setting on points of control ≈ метод продолжения spectral function with critical points ≈ спектральная функция с критическими точками uniformly distributed points ≈ равномерно распределенные точки - aggregate of points - betwenness of points - cluster of points - collinear points - concyclic points - configuration of points - congruent points - conjugate points - connected points - coplanar points - copolar points - corresponding points - couple of points - ensemble of points - flock of points - functor of points - homologous points - independence of points - lattice of points - locus of points - manifold of points - mesh points - noncollinear points - noncoplanar points - percentage points - points at infinity - quadruple of points - range of points - right two points - scatter of points - sequence of points - set of points - space of points - spread of points - succession of points - symmetric points - trend in points Пункты(точки) points: ~ of claim before commercial court исковые заявления в коммерческий суд points: ~ of claim before commercial court исковые заявления в коммерческий суд ~ of defence before commercial court письменные возражения ответчика по иску в коммерческий суд ~ of law and fact вопрос права и вопрос факта suspension ~ многоточие -
6 точечное многообразие
Большой англо-русский и русско-английский словарь > точечное многообразие
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7 MP
1) Общая лексика: многоцелевой, универсальный2) Компьютерная техника: Macro Parameter, Management Processor, Mini Profile, Multi Platform, Multi Processing, Multi Processor, Multiple Processor3) Морской термин: загрязнитель моря (Marine Pollutant( IMO cargo type classification))4) Медицина: макулярный пигмент, митогенный протеин, предварительное намагничивание (magnetization prepared)5) Американизм: Military Police6) Ботаника: Murmuring Pine7) Спорт: Magic Points, Mana Points, Might Play, Mile Point, Movement Penalty, Multi Player8) Латинский язык: Modus Ponens9) Военный термин: Machine Pistol, Manpack, Map Pack, Map Project, Marine police, Marshalling Points, Master Plan, Message Parser, Military Personnel, Mind Points, Minuteman platform, Mission Profile, Mobility Plus, Modular Powered, Movement Planner, Multi Purpose, main parachute, maintainability plan, maintenance package, maintenance panel, maintenance parts, maintenance period, maintenance plan, maintenance point, maintenance procedure, maintenance program, management package, marching pack, maritime patrol, master pilot, meeting point, military pay, military procurement, military property, mine planter, missile platform, missile positioning, mobilization plan, monitor panel, motion picture production, motor potential10) Техника: main propulsion, manpower, mean effective pressure, mean power, mean proportional, memorandum of partnership, mile-post, modulator, multiprocessor11) Шутливое выражение: Magic Packet, Mischievous Pease, Mr Piggy, Mystery Pog12) Химия: Metal Particle, Metal Particulate, Metal Poor13) Математика: математическое программирование (mathematical programming), мультипликативное свойство (multiplication property), наиболее мощный (критерий), проблема минимизации (minimization problem)14) Религия: Merry Part15) Железнодорожный термин: Union Pacific Railroad Company16) Юридический термин: Miscellaneous Proceeding, Missing Person, Moot Point, Mountain Patrol, Multi Profiling, Murder And Pillage, Mysterious Past, парламентарий (member of Parliament)17) Бухгалтерия: Money Pit18) Астрономия: Massive Protostar19) Биржевой термин: Market Place20) Ветеринария: Mud Puppies21) Грубое выражение: Manipulative Prostitute, Master Pervert, Motherfucking Perfect22) Дипломатический термин: член Европейского парламента23) Музыка: Mezzo Piano, Music Positive24) Политика: Mauritius25) Телекоммуникации: Mobile Processor, Multilink PPP26) Сокращение: Machine Pistole (Krimmi), compact sub machine gun (Germany; K), Manoeuvre Programmer, Manpower & Personnel (USAF), Marinha Portuguesa (Portugese Navy), Member of Parliament, Metal Particle (Tape), Metal-Piercing, Metropolitan Police, Military Police(man), Mission Planning, Mornarica Pjesadija (Croatian naval infantry), Moteur en Pylone (Pylon-mounted engine (France)), Multipole, Northern Mariana Islands, manufacturing and production, mass production, mounted police, multipurpose, Magnifying Power, Mandatory Protection, Manifold Pressure, Marginal Product, Membrane Potential, Memory Pointer, Minimal Protection, Monolithic Processor, Most Powerful27) Текстиль: Matched Pair28) Университет: My Problem29) Физика: Magnetic Particle, Medium Prismatic, Modal Particle, Multi Physics30) Физиология: Menstrual period, Metatarsal Phalanges, Mitochondria Points31) Электроника: Madhya Pradesh, Maximum Power, Multi Phonon, Multi Polarized32) Вычислительная техника: MultiProtocol, mathematical programming, microprocessor, (PPP) Multilink Protocol (MPPP, RFC 1990), MegaPIXEL (PIXEL, photo), Military Police (man), (контрольная) точка регулировки при профилактике33) Нефть: maximum pressure, давление на всасывании (manifold pressure), период технического обслуживания (maintenance period), порядок технического обслуживания (maintenance procedure), среднее давление (mean pressure)34) Картография: mooring post35) Банковское дело: почтовый перевод (mail payment), microprinting (средство предотвращения копирования чеков)36) Транспорт: Mopar Parts37) Пищевая промышленность: Medium Pizza, Melon Popper, More Pints38) Фирменный знак: Monolith Productions39) Экология: Monitoring Plan40) СМИ: Media Player, Motion Picture, Moving Picture, Multi Page, Multiple Part41) Деловая лексика: Main Product, Manual Pickup, Mass Produced, Means Of Production, Mechanical Perfection, Modes Of Production, Music Profits, член парламента (Великобритания, Member of Parliament)42) Глоссарий компании Сахалин Энерджи: mud pump, СД (medium pressure)43) Образование: Marking Period, module paper44) Инвестиции: mail payment45) Сетевые технологии: Message Passing, Modular Portal, Multi Point, Multi Protocol, multiprocessing, system multiprocessor system, мультипроцессорная обработка46) Полимеры: medium pressure, molded plate, molding pressure47) Программирование: Make Parameter, Multi Precision48) Автоматика: machine perception, machine power, measurement processor49) Контроль качества: Metrology Provision50) Океанография: Mini Plankton51) Безопасность: Message Protector52) Расширение файла: Multiple Processors, Movie (MPEG compressed), Massively Parallel (processing)53) Энергосистемы: market participant54) Нефть и газ: main pipeline, makeup pump, marshalling panel, TP, МН, магистральный нефтепровод55) Электротехника: main protection, metallized paper56) Майкрософт: пакет управления, management point57) Общественная организация: Mautner Project, Myelin Project58) Должность: Material For Promotion, More Pension59) Чат: Mom Pops60) НАСА: Massively Parallel, Minor Planet, Multifunction Panel61) Федеральное бюро расследований: Minneapolis Field Office62) Единицы измерений: Mega Pixels -
8 mp
1) Общая лексика: многоцелевой, универсальный2) Компьютерная техника: Macro Parameter, Management Processor, Mini Profile, Multi Platform, Multi Processing, Multi Processor, Multiple Processor3) Морской термин: загрязнитель моря (Marine Pollutant( IMO cargo type classification))4) Медицина: макулярный пигмент, митогенный протеин, предварительное намагничивание (magnetization prepared)5) Американизм: Military Police6) Ботаника: Murmuring Pine7) Спорт: Magic Points, Mana Points, Might Play, Mile Point, Movement Penalty, Multi Player8) Латинский язык: Modus Ponens9) Военный термин: Machine Pistol, Manpack, Map Pack, Map Project, Marine police, Marshalling Points, Master Plan, Message Parser, Military Personnel, Mind Points, Minuteman platform, Mission Profile, Mobility Plus, Modular Powered, Movement Planner, Multi Purpose, main parachute, maintainability plan, maintenance package, maintenance panel, maintenance parts, maintenance period, maintenance plan, maintenance point, maintenance procedure, maintenance program, management package, marching pack, maritime patrol, master pilot, meeting point, military pay, military procurement, military property, mine planter, missile platform, missile positioning, mobilization plan, monitor panel, motion picture production, motor potential10) Техника: main propulsion, manpower, mean effective pressure, mean power, mean proportional, memorandum of partnership, mile-post, modulator, multiprocessor11) Шутливое выражение: Magic Packet, Mischievous Pease, Mr Piggy, Mystery Pog12) Химия: Metal Particle, Metal Particulate, Metal Poor13) Математика: математическое программирование (mathematical programming), мультипликативное свойство (multiplication property), наиболее мощный (критерий), проблема минимизации (minimization problem)14) Религия: Merry Part15) Железнодорожный термин: Union Pacific Railroad Company16) Юридический термин: Miscellaneous Proceeding, Missing Person, Moot Point, Mountain Patrol, Multi Profiling, Murder And Pillage, Mysterious Past, парламентарий (member of Parliament)17) Бухгалтерия: Money Pit18) Астрономия: Massive Protostar19) Биржевой термин: Market Place20) Ветеринария: Mud Puppies21) Грубое выражение: Manipulative Prostitute, Master Pervert, Motherfucking Perfect22) Дипломатический термин: член Европейского парламента23) Музыка: Mezzo Piano, Music Positive24) Политика: Mauritius25) Телекоммуникации: Mobile Processor, Multilink PPP26) Сокращение: Machine Pistole (Krimmi), compact sub machine gun (Germany; K), Manoeuvre Programmer, Manpower & Personnel (USAF), Marinha Portuguesa (Portugese Navy), Member of Parliament, Metal Particle (Tape), Metal-Piercing, Metropolitan Police, Military Police(man), Mission Planning, Mornarica Pjesadija (Croatian naval infantry), Moteur en Pylone (Pylon-mounted engine (France)), Multipole, Northern Mariana Islands, manufacturing and production, mass production, mounted police, multipurpose, Magnifying Power, Mandatory Protection, Manifold Pressure, Marginal Product, Membrane Potential, Memory Pointer, Minimal Protection, Monolithic Processor, Most Powerful27) Текстиль: Matched Pair28) Университет: My Problem29) Физика: Magnetic Particle, Medium Prismatic, Modal Particle, Multi Physics30) Физиология: Menstrual period, Metatarsal Phalanges, Mitochondria Points31) Электроника: Madhya Pradesh, Maximum Power, Multi Phonon, Multi Polarized32) Вычислительная техника: MultiProtocol, mathematical programming, microprocessor, (PPP) Multilink Protocol (MPPP, RFC 1990), MegaPIXEL (PIXEL, photo), Military Police (man), (контрольная) точка регулировки при профилактике33) Нефть: maximum pressure, давление на всасывании (manifold pressure), период технического обслуживания (maintenance period), порядок технического обслуживания (maintenance procedure), среднее давление (mean pressure)34) Картография: mooring post35) Банковское дело: почтовый перевод (mail payment), microprinting (средство предотвращения копирования чеков)36) Транспорт: Mopar Parts37) Пищевая промышленность: Medium Pizza, Melon Popper, More Pints38) Фирменный знак: Monolith Productions39) Экология: Monitoring Plan40) СМИ: Media Player, Motion Picture, Moving Picture, Multi Page, Multiple Part41) Деловая лексика: Main Product, Manual Pickup, Mass Produced, Means Of Production, Mechanical Perfection, Modes Of Production, Music Profits, член парламента (Великобритания, Member of Parliament)42) Глоссарий компании Сахалин Энерджи: mud pump, СД (medium pressure)43) Образование: Marking Period, module paper44) Инвестиции: mail payment45) Сетевые технологии: Message Passing, Modular Portal, Multi Point, Multi Protocol, multiprocessing, system multiprocessor system, мультипроцессорная обработка46) Полимеры: medium pressure, molded plate, molding pressure47) Программирование: Make Parameter, Multi Precision48) Автоматика: machine perception, machine power, measurement processor49) Контроль качества: Metrology Provision50) Океанография: Mini Plankton51) Безопасность: Message Protector52) Расширение файла: Multiple Processors, Movie (MPEG compressed), Massively Parallel (processing)53) Энергосистемы: market participant54) Нефть и газ: main pipeline, makeup pump, marshalling panel, TP, МН, магистральный нефтепровод55) Электротехника: main protection, metallized paper56) Майкрософт: пакет управления, management point57) Общественная организация: Mautner Project, Myelin Project58) Должность: Material For Promotion, More Pension59) Чат: Mom Pops60) НАСА: Massively Parallel, Minor Planet, Multifunction Panel61) Федеральное бюро расследований: Minneapolis Field Office62) Единицы измерений: Mega Pixels -
9 Psychology
We come therefore now to that knowledge whereunto the ancient oracle directeth us, which is the knowledge of ourselves; which deserveth the more accurate handling, by how much it toucheth us more nearly. This knowledge, as it is the end and term of natural philosophy in the intention of man, so notwithstanding it is but a portion of natural philosophy in the continent of nature.... [W]e proceed to human philosophy or Humanity, which hath two parts: the one considereth man segregate, or distributively; the other congregate, or in society. So as Human philosophy is either Simple and Particular, or Conjugate and Civil. Humanity Particular consisteth of the same parts whereof man consisteth; that is, of knowledges which respect the Body, and of knowledges that respect the Mind... how the one discloseth the other and how the one worketh upon the other... [:] the one is honored with the inquiry of Aristotle, and the other of Hippocrates. (Bacon, 1878, pp. 236-237)The claims of Psychology to rank as a distinct science are... not smaller but greater than those of any other science. If its phenomena are contemplated objectively, merely as nervo-muscular adjustments by which the higher organisms from moment to moment adapt their actions to environing co-existences and sequences, its degree of specialty, even then, entitles it to a separate place. The moment the element of feeling, or consciousness, is used to interpret nervo-muscular adjustments as thus exhibited in the living beings around, objective Psychology acquires an additional, and quite exceptional, distinction. (Spencer, 1896, p. 141)Kant once declared that psychology was incapable of ever raising itself to the rank of an exact natural science. The reasons that he gives... have often been repeated in later times. In the first place, Kant says, psychology cannot become an exact science because mathematics is inapplicable to the phenomena of the internal sense; the pure internal perception, in which mental phenomena must be constructed,-time,-has but one dimension. In the second place, however, it cannot even become an experimental science, because in it the manifold of internal observation cannot be arbitrarily varied,-still less, another thinking subject be submitted to one's experiments, comformably to the end in view; moreover, the very fact of observation means alteration of the observed object. (Wundt, 1904, p. 6)It is [Gustav] Fechner's service to have found and followed the true way; to have shown us how a "mathematical psychology" may, within certain limits, be realized in practice.... He was the first to show how Herbart's idea of an "exact psychology" might be turned to practical account. (Wundt, 1904, pp. 6-7)"Mind," "intellect," "reason," "understanding," etc. are concepts... that existed before the advent of any scientific psychology. The fact that the naive consciousness always and everywhere points to internal experience as a special source of knowledge, may, therefore, be accepted for the moment as sufficient testimony to the rights of psychology as science.... "Mind," will accordingly be the subject, to which we attribute all the separate facts of internal observation as predicates. The subject itself is determined p. 17) wholly and exclusively by its predicates. (Wundt, 1904,The study of animal psychology may be approached from two different points of view. We may set out from the notion of a kind of comparative physiology of mind, a universal history of the development of mental life in the organic world. Or we may make human psychology the principal object of investigation. Then, the expressions of mental life in animals will be taken into account only so far as they throw light upon the evolution of consciousness in man.... Human psychology... may confine itself altogether to man, and generally has done so to far too great an extent. There are plenty of psychological text-books from which you would hardly gather that there was any other conscious life than the human. (Wundt, 1907, pp. 340-341)The Behaviorist began his own formulation of the problem of psychology by sweeping aside all medieval conceptions. He dropped from his scientific vocabulary all subjective terms such as sensation, perception, image, desire, purpose, and even thinking and emotion as they were subjectively defined. (Watson, 1930, pp. 5-6)According to the medieval classification of the sciences, psychology is merely a chapter of special physics, although the most important chapter; for man is a microcosm; he is the central figure of the universe. (deWulf, 1956, p. 125)At the beginning of this century the prevailing thesis in psychology was Associationism.... Behavior proceeded by the stream of associations: each association produced its successors, and acquired new attachments with the sensations arriving from the environment.In the first decade of the century a reaction developed to this doctrine through the work of the Wurzburg school. Rejecting the notion of a completely self-determining stream of associations, it introduced the task ( Aufgabe) as a necessary factor in describing the process of thinking. The task gave direction to thought. A noteworthy innovation of the Wurzburg school was the use of systematic introspection to shed light on the thinking process and the contents of consciousness. The result was a blend of mechanics and phenomenalism, which gave rise in turn to two divergent antitheses, Behaviorism and the Gestalt movement. The behavioristic reaction insisted that introspection was a highly unstable, subjective procedure.... Behaviorism reformulated the task of psychology as one of explaining the response of organisms as a function of the stimuli impinging upon them and measuring both objectively. However, Behaviorism accepted, and indeed reinforced, the mechanistic assumption that the connections between stimulus and response were formed and maintained as simple, determinate functions of the environment.The Gestalt reaction took an opposite turn. It rejected the mechanistic nature of the associationist doctrine but maintained the value of phenomenal observation. In many ways it continued the Wurzburg school's insistence that thinking was more than association-thinking has direction given to it by the task or by the set of the subject. Gestalt psychology elaborated this doctrine in genuinely new ways in terms of holistic principles of organization.Today psychology lives in a state of relatively stable tension between the poles of Behaviorism and Gestalt psychology.... (Newell & Simon, 1963, pp. 279-280)As I examine the fate of our oppositions, looking at those already in existence as guide to how they fare and shape the course of science, it seems to me that clarity is never achieved. Matters simply become muddier and muddier as we go down through time. Thus, far from providing the rungs of a ladder by which psychology gradually climbs to clarity, this form of conceptual structure leads rather to an ever increasing pile of issues, which we weary of or become diverted from, but never really settle. (Newell, 1973b, pp. 288-289)The subject matter of psychology is as old as reflection. Its broad practical aims are as dated as human societies. Human beings, in any period, have not been indifferent to the validity of their knowledge, unconcerned with the causes of their behavior or that of their prey and predators. Our distant ancestors, no less than we, wrestled with the problems of social organization, child rearing, competition, authority, individual differences, personal safety. Solving these problems required insights-no matter how untutored-into the psychological dimensions of life. Thus, if we are to follow the convention of treating psychology as a young discipline, we must have in mind something other than its subject matter. We must mean that it is young in the sense that physics was young at the time of Archimedes or in the sense that geometry was "founded" by Euclid and "fathered" by Thales. Sailing vessels were launched long before Archimedes discovered the laws of bouyancy [ sic], and pillars of identical circumference were constructed before anyone knew that C IID. We do not consider the ship builders and stone cutters of antiquity physicists and geometers. Nor were the ancient cave dwellers psychologists merely because they rewarded the good conduct of their children. The archives of folk wisdom contain a remarkable collection of achievements, but craft-no matter how perfected-is not science, nor is a litany of successful accidents a discipline. If psychology is young, it is young as a scientific discipline but it is far from clear that psychology has attained this status. (Robinson, 1986, p. 12)Historical dictionary of quotations in cognitive science > Psychology
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10 affine
аффинный, аффинно affine differential equation ≈ аффинное дифференциальное уравнение affine differential geometry ≈ аффинно-дифференциальная геометрия affine invariant point ≈ аффинно инвариантная точка affine ratio of three points ≈ простое отношение трех точек affine resolvable configuration ≈ афинно разрешимая конфигурация affine resovable design ≈ аффинно разрешимый план affine vector field ≈ аффинное векторное поле cellwise affine mapping ≈ клеточно аффинное отображение centered affine space ≈ геом. пространство центроаффинное coefficient of affine connection ≈ коэффициент аффинной связи group of affine transformations ≈ группа аффинных преобразований least affine multiple ≈ наименьшее аффинное кратное( многочлена) locally affine transformation ≈ локально аффинное преобразование space of affine connectedness ≈ пространство аффинной связности space with affine connection ≈ пространство с аффинной связью - affine algebra - affine basis - affine binormal - affine bundle - affine capsule - affine center - affine classification - affine collineation - affine combination - affine completeness - affine cone - affine conic - affine connectedness - affine connection - affine connectivit - affine coordinates - affine correspondence - affine covariant - affine covering - affine curvature - affine curve - affine cylinder - affine dependence - affine design - affine diameter - affine diffeomorphism - affine distance - affine embedding - affine equivalence - affine equivalent - affine expression - affine extension - affine figure - affine frame - affine framing - affine function - affine geodesic - affine geometry - affine group - affine homeomorphism - affine homology - affine hull - affine hyperplane - affine hypersurface - affine independence - affine index - affine invariant - affine isomorphism - affine loop - affine manifold - affine mapping - affine matroid - affine model - affine module - affine morphism - affine motion - affine net - affine normal - affine operator - affine parameter - affine parametrization - affine perspectivity - affine plane - affine polynomial - affine product - affine property - affine pseudodistance - affine quadric - affine ratio - affine representation - affine resolvable - affine restriction - affine retraction - affine ring - affine scheme - affine set - affine simplex - affine space - affine sphere - affine structure - affine subspace - affine superconnection - affine tensor - affine torus - affine transformation - affine translation - affine variety - perspectively affine - piecewise affine -
11 lattice
1) плетение2) решётка, сетка || решетчатый3) пространственная решётка, структура•- almost contact lattice - almost tangent lattice - completely regular lattice - locally convex lattice - locally distributive lattice - locally modular lattice - lower semimodular lattice - metrically simple lattice - relatively pseudocomplemented lattice - structurally regular lattice - topologically dense lattice
См. также в других словарях:
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Cut locus (Riemannian manifold) — In Riemannian geometry, the cut locus of a point p in a manifold is roughly the set of all other points for which there are multiple minimizing geodesics connecting them from p, but it may contain additional points where the minimizing geodesic… … Wikipedia
Hyperkähler manifold — In differential geometry, a hyperkähler manifold is a Riemannian manifold of dimension 4 k and holonomy group contained in Sp( k ) (here Sp( k ) denotes a compact form of a symplectic group, identifiedwith the group of quaternionic linear unitary … Wikipedia
Stein manifold — In mathematics, a Stein manifold in the theory of several complex variables and complex manifolds is a complex submanifold of the vector space of n complex dimensions. The name is for Karl Stein. Definition A complex manifold X of complex… … Wikipedia
Algebraic manifold — An algebraic manifold is an algebraic variety which is also a manifold. As such, algebraic manifolds are a generalisation of the concept of smooth curves and surfaces. An example is the sphere, which can be defined as the zero set of the… … Wikipedia
Non-Hausdorff manifold — In mathematics, it is a usual axiom of a manifold to be a Hausdorff space, and this is assumed throughout geometry and topology: manifold means (second countable) Hausdorff manifold . In general topology, this axiom is relaxed, and one studies… … Wikipedia