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1 affine set
Большой англо-русский и русско-английский словарь > affine set
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2 affine set
Математика: аффинное множество -
3 affine set
мат. -
4 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 -
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 set
2) телевизионный приёмник, телевизор3) станция; установка; аппарат; устройство4) набор; комплект; группа; партия; серия5) множество; совокупность6) установка; регулирование; настройка || устанавливать; регулировать; настраивать7) вчт установка в состояние "1" || устанавливать в состояние "1"8) задание; назначение || задавать; назначать10) (психологическая) установка, предрасположенность к определённым действиям в определённой ситуации•- set of generating elements
- set of order statistics
- set of restrictions
- airborne radiometry set
- answer relay set
- antisidetone telephone set
- ASCII character set
- AT command set
- automatic telephone set
- automatic transistor test set
- automatic zero set
- balancer set
- beacon portable set
- bifurcation set
- bridging set
- built-in set
- cache set
- call-back telephone set
- carried set
- carrier set
- catastrophe set
- character set
- checkpoint data set
- chip set
- ciphering mode set
- coded character set
- coin-box set
- color TV set
- common-battery set
- compatible sets
- complete instruction set
- complex instruction set
- concatenated data set
- core set
- core set of modulation protocols
- core-logic chip set
- cradle set
- crystal set
- customer set
- cylinder set
- data set
- dial telephone set
- disjoint sets
- disjunctive set
- ECH set
- eddy-current heating set
- empty set
- extension set
- fault set
- four-wire terminating set
- fractal set
- fuzzy set
- handset telephone set
- Hayes command set
- Horn-convex set
- hybrid set
- independent set of lines
- independent set of points
- information set
- infrared-communications set
- instruction set
- interval-valued fuzzy sets
- invariant set
- Julia set
- key set
- lexicographically ordered set
- line data set
- local-battery telephone set
- loran set
- machine-instruction set
- magneto telephone set
- Mandelbrot set
- manual telephone set
- mask set
- master mask set
- membership set
- microprocessor set
- microprogram set
- model set
- modulized integrated-circuit TV set
- motor-generator set
- noise-measuring set
- normal set
- null set
- operator's head set
- paging telephone set
- Pareto set
- partitioned data set
- pointed-valued fuzzy sets
- push-button set
- radio set
- receiving set
- recurrent set
- reduced instruction set
- resolvent set
- ringing set
- satellite communication set
- self-affine fractal set
- sequential data set
- sferics set
- sidetone telephone set
- single-byte character set
- singleton set
- sound-powered telephone set
- spring set
- staff set
- stripe set
- structured set
- subaudio telegraph set
- subnormal set
- subscriber set
- tail warning radar set
- telegraph set
- telephone set
- telephone data set
- television set
- term set
- terminal set
- terminating set
- test set
- training set
- transistor TV set
- transmission distortion measuring set
- transmission measuring set
- TV set
- uncountable set
- unimodal set
- unitized TV set
- universal character set
- universal multiple-octet coded character set
- users set
- validation set
- vertex set
- volume set
- Zermelo set
- zero set -
7 set
2) телевизионный приёмник, телевизор3) станция; установка; аппарат; устройство4) набор; комплект; группа; партия; серия5) множество; совокупность6) установка; регулирование; настройка || устанавливать; регулировать; настраивать7) вчт. установка в состояние "1" || устанавливать в состояние "1"8) задание; назначение || задавать; назначать10) (психологическая) установка, предрасположенность к определённым действиям в определённой ситуации•- answer relay set
- antisidetone telephone set
- ASCII character set
- AT command set
- automatic telephone set
- automatic transistor test set
- automatic zero set
- balancer set
- beacon portable set
- bifurcation set
- bridging set
- built-in set
- cache set
- call-back telephone set
- carried set
- carrier set
- catastrophe set
- character set
- checkpoint data set
- chip set
- ciphering mode set
- coded character set
- coin-box set
- color TV set
- common-battery set
- compatible sets
- complete instruction set
- complex instruction set
- concatenated data set
- core set of modulation protocols
- core set
- core-logic chip set
- cradle set
- crystal set
- customer set
- cylinder set
- data set
- dial telephone set
- disjoint sets
- disjunctive set
- ECH set
- eddy-current heating set
- empty set
- extension set
- fault set
- four-wire terminating set
- fractal set
- fuzzy set
- handset telephone set
- Hayes command set
- Horn-convex set
- hybrid set
- independent set of lines
- independent set of points
- information set
- infrared-communications set
- instruction set
- interval-valued fuzzy sets
- invariant set
- Julia set
- key set
- lexicographically ordered set
- line data set
- local-battery telephone set
- loran set
- machine-instruction set
- magneto telephone set
- Mandelbrot set
- manual telephone set
- mask set
- master mask set
- membership set
- microprocessor set
- microprogram set
- model set
- modulized integrated-circuit TV set
- motor-generator set
- noise-measuring set
- normal set
- null set
- operator's head set
- paging telephone set
- Pareto set
- partitioned data set
- pointed-valued fuzzy sets
- push-button set
- radio set
- receiving set
- recurrent set
- reduced instruction set
- resolvent set
- ringing set
- satellite communication set
- self-affine fractal set
- sequential data set
- set of equations
- set of generating elements
- set of order statistics
- set of restrictions
- sferics set
- sidetone telephone set
- single-byte character set
- singleton set
- sound-powered telephone set
- spring set
- staff set
- stripe set
- structured set
- subaudio telegraph set
- subnormal set
- subscriber set
- tail warning radar set
- telegraph set
- telephone data set
- telephone set
- television set
- term set
- terminal set
- terminating set
- test set
- training set
- transistor TV set
- transmission distortion measuring set
- transmission measuring set
- TV set
- uncountable set
- unimodal set
- unitized TV set
- universal character set
- universal multiple-octet coded character set
- users set
- validation set
- vertex set
- volume set
- Zermelo set
- zero setThe New English-Russian Dictionary of Radio-electronics > set
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8 self-affine fractal set
English-Russian electronics dictionary > self-affine fractal set
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9 self-affine fractal set
The New English-Russian Dictionary of Radio-electronics > self-affine fractal set
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10 аффинное множество
Большой англо-русский и русско-английский словарь > аффинное множество
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11 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 -
12 resolvable
1) разрешимый
2) растворимый
3) отобразимый ∙ affine resolvable configuration ≈ афинно разрешимая конфигурация normally resolvable operator ≈ нормально разрешимый оператор strongly resolvable domain ≈ строго разрешимая область weakly resolvable domain ≈ слабо разрешимая область - affine resolvable - resolvable domain - resolvable predicate - resolvable set - resolvable space разрешимый (о задаче)Большой англо-русский и русско-английский словарь > resolvable
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13 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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14 geometry
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15 group
1) группа, ансамбль || групповой- roughing mill group2) совокупность; комплект3) группировка || группировать(ся)5) класс; категория || классифицировать; категоризировать6) хим. остаток7) сгусток; скопление8) узел9) матем. группа- absolute free group - absolute homotopy group - absolutely irreducible group - absolutely simple group - additively written group - adele group - adelic group - algebraically compact group - algebraically simple group - almost connected group - almost cyclic group - almost ordered group - almost periodic group - almost simple group - alternating form group - cancellative group - cellular homology group - characteristically simple group - complementing group - completely anisotropic group - completely discontinuous group - completely divisible group - completely indecomposable group - completely integrally closed group - deficient group - direct homology group - direct indecomposable group - doubly transitive group - finitely defined group - finitely generated group - finitely presented group - finitely related group - first homology group - first homotopy group - freely generated group - full linear group - full orthogonal group - full rotation group - full symmetric group - full unimodular group - group of classes of algebras - group of covering transformations - group of finite rank - group of infinite order - group of infinite rank - group of inner automorphisms - group of linear equivalence - group of linear forms - group of linear manifold - group of principal ideles - group of real line - group of recursive permutations - group of right quotients - idele class group - linearly ordered group - linearly transitive group - locally bicompact group - locally closed group - locally compact group - locally connected group - locally cyclic group - locally defined group - locally embeddable group - locally finite group - locally free group - locally infinite group - locally nilpotent group - locally normal group - locally solvable group - multiply primitive group - multiply transitive group - nonsolvable group - n-th homotopy group - ordered pair group - principal congruence group - properly orthogonal group - properly unimodular group - pure projective group - pure rotation group - pure simple group - quasipure projective group - quotient divisible group - residually nilpotent group - restricted holonomy group - sharply transitive group - simply ordered group - simply reducible group - simply transitive group - singular cogomology group - singular homology group - solvable group - stable group - strictly transitive group - strongly polycyclic group - subsolvable group - supersolvable group - totally ordered group - totally projective group - totally reducible group - triply transitive group - unitary symmetry group - unitary transformation group - value group - weak homology group - weakly mixing groupgroup with multiple operators — группа с многоместными операторами, мультиоператорная группа
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16 mapping
1) картирование, картографирование, составление карт2) отображение || отображающий•- almost open mapping - almost proper mapping - almost separably-valued mapping - completely regular mapping - correlative mapping - countably biquotient mapping - countably multiple mapping - homotopically regular mapping - homotopically stable mapping - homotopy inverse mapping - locally homeomorphic mapping - locally homomorphic mapping - locally infinitesimal stable mapping -
17 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 -
18 basis
1) базис, база2) основание, фундамент4) базовый компонент, основа• -
19 diameter
диаметр, поперечникdiameter at the top — лесн. диаметр в верхнем отрубе
diameter inside bark — лесн. диаметр в коре
diameter under bark — лесн. диаметр (дерева) без коры
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20 point
1) точка2) балл, очко3) деление (шкалы); румб; лимб4) заострение, остриё, острый конец || заострять, затачивать5) полигр. пункт ( единица измерения в типографской системе мер)6) пост, пункт, место7) мыс8) наконечник9) предмет11) указывать•about a point — мат. в окрестности точки
point at infinity — мат. несобственный элемент, бесконечно удалённая точка
point covers a line — т. граф. вершина покрывает ребро
point in infinity — мат. точка в бесконечности
winding number of curve with respect to point — мат. порядок кривой относительно точки (число оборотов вектора, соединяющего данную точку с точкой кривой при обходе кривой)
right two points — мор. на два румба вправо
with a point as a center — мат. с центром в точке…
- bisecting point of a segment - conditionally stable point - division point - essentially singular point - general point - generic point - horizontal control point - infinitely remote point point - material point - minimal fixed point - negatively stable point - nonessential singular point - optimum point - piercing point of a line - point of greatest concentration - positively normal point - positively stable point - right singular point - single mass point - strongly recurrent point - strongly singular point - triply rational point - uniplanar double point - unstable nodal point - upper significance pointwith respect to point — мат. относительно точки
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- 2
См. также в других словарях:
Affine hull — In mathematics, the affine hull of a set S in Euclidean space R n is the smallest affine set containing S , or equivalently, the intersection of all affine sets containing S . Here, an affine set may be defined as the translation of a vector… … Wikipedia
Affine arithmetic — (AA) is a model for self validated numerical analysis. In AA, the quantities of interest are represented as affine combinations (affine forms) of certain primitive variables, which stand for sources of uncertainty in the data or approximations… … Wikipedia
Affine focal set — In mathematics, and especially affine differential geometry, the affine focal set of a smooth submanifold M embedded in a smooth manifold N is the caustic generated by the affine normal lines. It can be realised as the bifurcation set of a… … Wikipedia
Affine space — In mathematics, an affine space is an abstract structure that generalises the affine geometric properties of Euclidean space. In an affine space, one can subtract points to get vectors, or add a vector to a point to get another point, but one… … Wikipedia
Affine transformation — In geometry, an affine transformation or affine map or an affinity (from the Latin, affinis , connected with ) between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation::x… … Wikipedia
Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… … Wikipedia
Affine group — In mathematics, the affine group or general affine group of any affine space over a field K is the group of all invertible affine transformations from the space into itself.It is a Lie group if K is the real or complex field or… … Wikipedia
Affine Lie algebra — In mathematics, an affine Lie algebra is an infinite dimensional Lie algebra that is constructed in a canonical fashion out of a finite dimensional simple Lie algebra. It is a Kac–Moody algebra whose generalized Cartan matrix is positive semi… … Wikipedia
Affine geometry of curves — In the mathematical field of differential geometry, the affine geometry of curves is the study of curves in an affine space, and specifically the properties of such curves which are invariant under the special affine group In the classical… … Wikipedia
Affine Grassmannian — In mathematics, the term affine Grassmannian has two distinct meanings. In one meaning the affine Grassmannian (manifold) is the manifold of all k dimensional subspaces of a finite dimensional vector space, while (described here) the affine… … Wikipedia
Affine action — Let W be the Weyl group of a semisimple Lie algebra (associate to fixed choice of a Cartan subalgebra ). Assume that a set of simple roots in is chosen. The affine action (also called the dot action) of the Weyl group on the space is … Wikipedia