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1 multiplicative ideal
Большой англо-русский и русско-английский словарь > multiplicative ideal
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2 multiplicative ideal
Математика: мультипликативный идеал -
3 multiplicative ideal
English-Russian scientific dictionary > multiplicative ideal
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4 multiplicative
мультипликативный completely multiplicative function ≈ вполне мультипликативная функция countably multiplicative function ≈ счетно мультипликативная функция exponentially multiplicative function ≈ экспоненциально мультипликативная функция multiplicative inverse matrix ≈ мультипликативно обратная матрица multiplicative random variable ≈ мультипликативная случайная величина strongly multiplicative system ≈ сильно мультипликативная система totally multiplicative function ≈ вполне мультипликативная функция unitary multiplicative commutator ≈ унитарный мультипликативный коммутатор - completely multiplicative - multiplicative algorithm - multiplicative arithmetic - multiplicative association - multiplicative axiom - multiplicative base - multiplicative basis - multiplicative calculation - multiplicative category - multiplicative character - multiplicative class - multiplicative closure - multiplicative commutation - multiplicative commutator - multiplicative composition - multiplicative congruence - multiplicative constant - multiplicative control - multiplicative convolution - multiplicative covering - multiplicative decomposition - multiplicative derivative - multiplicative distribution - multiplicative exave - multiplicative filtration - multiplicative form - multiplicative function - multiplicative functional - multiplicative group - multiplicative groupoid - multiplicative homomorphism - multiplicative ideal - multiplicative idempotent - multiplicative identity - multiplicative induction - multiplicative inequality - multiplicative integral - multiplicative interaction - multiplicative inverse - multiplicative inversion - multiplicative lattice - multiplicative model - multiplicative monoid - multiplicative noise - multiplicative nonadditivity - multiplicative norm - multiplicative number - multiplicative object - multiplicative operator - multiplicative order - multiplicative parameter - multiplicative process - multiplicative property - multiplicative representation - multiplicative rule - multiplicative semigroup - multiplicative semilattice - multiplicative set - multiplicative stability - multiplicative structure - multiplicative subgraph - multiplicative subset - multiplicative symmetry - multiplicative system - multiplicative tensor - multiplicative theor - multiplicative transformation - multiplicative utility - multiplicative variety - strongly multiplicative - totally multiplicative мультипликативный, увеличивающий увеличивающийся размножающийся;
относящийся к размножению - * stage стадия размножения (насекомых)Большой англо-русский и русско-английский словарь > multiplicative
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5 ideal
1) идеал, предел совершенства || идеальный2) матем. идеал3) мысленный, нереальный, воображаемый•- absolutely unramified ideal - completely simple ideal - disjunctive ideal - invertible ideal - strongly primary ideal - strongly ramified ideal - zero ideal -
6 мультипликативный идеал
Большой англо-русский и русско-английский словарь > мультипликативный идеал
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7 function
1) функция, действие || функционировать; действовать- essential functions - routine function - safety-related functions2) функциональное назначение; роль- circuit function - intrinsic function - metering function - primary function - robot function - planning function - service function - support function4) функциональный узел ( машины)5) матем. функциональная зависимость, функция- absolutely additive function - absolutely bounded function - absolutely continuous function - absolutely integrable function - absolutely monotone function - absolutely summable function - absolutely symmetric function - almost complex function - almost continuous function - almost convex function - almost everywhere defined function - almost everywhere finite function - almost invariant function - almost periodic function - almost recursive function - almost separably-valued function - almost separating function - almost universal function - analytically independent function - analytically representable function - approximately differentiable function - asymptotically differentiable function - asymptotically finite function - asymptotically uniformly optimal function - bounded below function - cellwise continuous function - circumferentially mean p-valent function - comparison function - complementary error function - complete analytic function - completely additive function - completely computable function - completely monotone function - completely multiplicative function - completely productive function - completely subadditive function - completely symmetrical function - completely undefined function - complex hyperbolic function - conditional risk function - countably multiplicative function - countably valued function - covariant function - cumulative distribution function - cumulative frequency function - deficiency function - double limit function - doubly periodic function - doubly recursive function - effectively computable function - effectively constant function - effectively decidable function - effectively variable function - elementarily symmetric function - entire function of maximum type - entire function of mean type - entire function of potential type - entire function of zero type - entire rational function - essentially increasing function - essentially integrable function - essentially real function - essentially smooth function - everywhere differentiable function - everywhere smooth function - expansible function - explicitly definable function - exponentially convex function - exponentially decreasing function - exponentially increasing function - exponentially multiplicative function - exponentially vanishing function - finitely mean valent function - finitely measurable function - function of appropriate behavior - function of bounded characteristic - function of bounded type - function of bounded variation - function of complex variable - function of exponential type - function of finite genus - function of finite variation - function of fractional order - function of infinite type - function of integral order - function of maximal type - function of minimal type - function of mixed variables - function of normal type - function of number theory - function of one variable - function of rapid descent - function of rapid growth - function of real variable - general universal function - geometric carrier function - implicitly definable function - incomplete dibeta function - incomplete gamma function - incomplete tribeta function - incompletely defined function - inductively defined function - inductively integrable function - infinitely divisible function - infinitely many-valued function - integral logarithmic function - inverse trigonometric function - inverted beta function - iterative function - joint correlation function - joint density function - linearly separable function - locally bounded function - locally constant function - locally holomorphic function - locally homogeneous function - locally integrable function - locally negligible function - locally regular function - locally summable function - logarithmic generating function - logarithmic integral function - logarithmically infinite function - logarithmically plurisubharmonic function - logarithmically subharmonic function - lower semicontinuous function - monotone non-decreasing function - monotone non-increasing function - multiply periodic function - multiply recursive function - negative definite function - negative infinite function - nontangentially bounded function - normalized function - normed function - nowhere continuous function - nowhere differentiable function - nowhere monotonic function - n-times differentiable function - n-tuply periodic function - numeralwise expressible function - numeralwise representable function - numerical function - numerically valued function - oblate spheroidal function - operating characteristic function - optimal policy function - parametrically definable function - partially symmetric function - piecewise constant function - piecewise continuously differentiable function - piecewise linear function - piecewise monotonic function - piecewise polynomial function - piecewise quadratic function - piecewise regular function - piecewise smooth function - pointwise approximated function - positive homogeneous function - positive infinite function - positive monotone function - positive monotonic function - positive semidefinite function - potentially calculable function - potentially recursive function - power series function - probability generating function - quadratically summable function - rapidly damped function - rapidly decreasing function - rapidly oscillatory function - recursively continuous function - recursively convergent function - recursively defined function - recursively differentiable function - recursively divergent function - recursively extensible function - relative distribution function - relative frequency function - representing function - reproducing kernel function - residual function - residue function - scalarwise integrable function - scalarwise measurable function - sectionally smooth function - simply periodic function - singly recursive function - slowly increasing function - slowly oscillating function - slowly varying function - smoothly varying function - solid spherical harmonic function - solid zonal harmonic function - steadily increasing function - stopped random function - strictly convex function - strictly decreasing function - strictly increasing function - strictly integrable function - strictly monotone function - strongly differentiable function - strongly holomorphic function - strongly integrable function - strongly measurable function - strongly plurisubharmonic function - totally additive function - totally continuous function - totally measurable function - totally multiplicative function - totally positive function - triangular function - uniformly best decision function - uniformly bounded function - uniformly definable function - uniformly differentiable function - uniformly homotopic function - uniformly integrable function - uniformly limited function - uniformly measurable function - uniformly smooth function - unit step function - unitary divisor function - upper measurable function - upper semicontinuous function - weakly analytic function - weakly continuous function - weakly differentiable function - weakly holomorphic function - weakly measurable function - weakly singular function - weighted random functiondomain of a function — область определения функции, область изменения независимой переменной
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8 system
1) система; комплекс2) совокупность•- absolutely consistent system - absolutely direct indecomposable system - absolutely free system - absolutely irreducible system - absolutely isolated system - allowable coordinate system - almost linear system - ample linear system - artificial feel system - automatic block system - automatic deicing system - binary relational system - binary-coded decimal system - block tooling system - Cartesian coordinate system - completely controllable system - completely ergodic system - completely hyperbolic system - completely identifiable system - completely integrable system - completely irreducible system - completely regular system - completely stable system - completely stratified system - complex number system - conical coordinate system - derivational formal system - differential equation system - differential selsyn system - digital counting system - digital transmission system - elliptic coordinate system - elliptic cylindrical coordinate system - externally inconsistent system - finite state system - finitely axiomatizable system - finitely presented system - fully characteristic quotient system - fundamental system of solutions - hydraulic lift system - integrated switching system - isomorphically embedded system - kernel normal system - linearly dependent system - linearly independent system - live hydraulic system - locking protection system - meteor-burst communication system - modular programming system - parabolic cylindrical coordinate system - permanent four-wheel drive system - pure independent system - radio telephone system - reactor protection system - real number system - receiver-amplifier crioelectric system - remote-cylinder hydraulic system - semantically consistent system - simply consistent system - simply incomplete system - simply ordered system - spherical coordinate system - strongly multiplicative system - structurally stable system - sufficiently general coordinate system - system of frequency curves - system of rational numbers - time multiplex system - time-division multiplex system - uniformly complete system - univalent system of notation - universal system of notation - weakly closed system - weighted number system -
9 model
1) модель (1. упрощённое представление объекта, процесса или явления; структурная аналогия 2. макет 3. образец; эталон; шаблон 4. пример; тип 5. стиль; дизайн) || моделировать (1. создавать упрощённое представление объекта, процесса или явления; пользоваться структурной аналогией 2. макетировать 3. создавать образец, эталон или шаблон 4. пользоваться примером; относить к определённому типу) || модельный (1. относящийся к упрощённому представлению объекта, процесса или явления; использующий структурную аналогию 2. макетный 3. образцовый; эталонный; шаблонный 4. примерный; типовой)2) служить моделью; выполнять функции модели3) создавать по образцу, эталону или шаблону4) придерживаться определённого стиля; следовать выбранному дизайну•- 2-D model
- adaptive expectations model
- additive model of neural network
- analog model
- antenna scale model
- application domain model
- AR model
- ARCH model
- ARDL model
- ARIMA model
- ARMA model
- atmospheric density model
- autoregressive conditional heteroscedastic model
- autoregressive distributed lags model
- autoregressive integrated moving average model
- autoregressive moving average model
- band model
- behavioral model
- Benetton model
- Berkeley short-channel IGFET model
- binary model
- binary choice model
- Bohr-Sommerfeld model
- Bohr-Sommerfeld model of atom
- Box-Jenkins model
- Bradley-Terry-Luce model
- brain-state-in-a-box model
- breadboard model
- Brookings models
- BSB model
- business model
- CAD model
- capability maturity model
- carrier-storage model
- causal model
- censored model
- centralized model
- charge-control model
- Chen model
- classical normal linear regression model
- classical regression model
- client-server model
- CMY model
- CMYK model
- cobweb model
- collective-electron model
- color model
- compact model
- component object model
- computer model
- computer-aided-design model
- conceptual model of hypercompetition
- conceptual data model
- conductor impedance model
- congruent model
- connectionist model
- continuum model
- Cox proportional hazards regression model
- data model
- Davidson-Hendry-Srba-Yeo model
- descriptive model
- design model
- deterministic model
- DHSY model
- discrete choice model
- distributed component object model
- distributed computing model
- distributed lags model
- distributed system object model
- distribution-free model
- document object model
- domain model
- domain architecture model
- duration model
- dynamic model
- EER-model
- energy-gap model
- entity-relationship model
- ER-model
- error correction model
- errors-in-variables model
- experimental model
- extended entity-relationship model
- extended relational model
- extended relational data model
- extensional model
- ferromagnetic Fermi-liquid model
- file level model
- financial model
- finite-population model
- fixed-effects model
- flat Earth model
- flat free model of advertising
- formalized model
- fractal model
- frame model
- fuzzy model
- GARCH model
- generalized autoregressive conditional heteroscedastic model
- generalized linear model
- geometric model
- geometrical lags model
- gross-level model
- ground-environment model
- Haken-Kelso-Bunz model
- Heisenberg model
- heuristic model
- hierarchical data model
- HLS model
- holographic model
- HSB model
- HSV model
- Hubbard model
- huge model
- hybrid-pi model
- hypothesis model
- ideal model
- imaging model
- indexed colors model
- information model
- information-logical model
- intensional model
- intercept-only model
- ionospheric model
- irreversible growth model
- Ising model
- ISO/OSI reference model
- Klein model
- Kronig-Penney model
- L*a*b* model
- large model
- large-signal device model
- LCH model
- learning, induction and schema abstraction model
- life cycle model
- limited dependent variable model
- linear model
- linear probability model
- LISA model
- logical model
- logical-linguistic model
- logistic model
- logit model
- loglinear model
- Londons' model of superconductivity
- lookup-table model
- Lorentz model
- low-signal device model
- machine model
- macrolevel model
- magnetic hysteresis model
- magnetohydrodynamic plasma model
- mathematical model
- matrix-memory model
- medium model
- memory model
- MHD plasma model
- microlevel model
- Minsky model
- Minsky frame model
- mixed model
- molecular-field model
- moving average model
- multiple regression model
- multiplicative model
- nested model
- network model
- network data model
- non-nested model
- non-parametric model
- N-state Potts model
- N-tier model
- null model
- object model
- object data model
- one-dimensional model
- one-fluid plasma model
- operations model
- optimizing model
- parabolic-ionosphere model
- parametric model
- parsimonious model
- partial adjustment model
- phenomenological model
- physical model
- pilot model
- Pippard nonlocal model
- plant model
- Poisson model
- polar model
- polynomial lags model
- postrelational model
- postrelational data model
- Potts model
- predictive model
- Preisach model
- preproduction model
- price model of advertising
- probabilistic model
- probit model
- proportional hazard model
- proportional-odds model
- prototype model
- quadratic model
- qualitative dependent variable model
- quantum mechanical model of superconductivity
- quasi-equilibrium model
- quasi-linear model
- random coefficients model
- random-effects model
- register model
- relational model
- relational data model
- relative model
- representative model
- response-surface model
- RGB model
- Ridley-Watkins-Hilsum model
- rival models
- Rössler model
- RWH model
- saturated model
- scalar model
- SCSI architecture model
- semantic model
- semiotic model
- sharply bounded ionosphere model
- simulation model
- single-ion model
- Skyrme model
- small model
- small-signal device model
- solid model
- spherical Earth model
- state-space model
- statistical model
- stochastic model
- Stoner-Wohlfart model
- structural model
- stuck-at-fault model
- surface model
- symbolic model
- symbolic-form model
- synergetic model
- system model
- system object model
- test model
- thermodynamical model
- three-tier model
- tobit model
- transistor model
- translog model
- tropospheric model
- true model
- truncated model
- two-dimensional model
- two-dimensional regression model
- two-fluid model of superconductivity
- two-fluid plasma model
- two-tier model
- Van der Ziel's noise model
- variable parameter model
- vector model
- wire-frame model
- working model -
10 model
1) модель (1. упрощённое представление объекта, процесса или явления; структурная аналогия 2. макет 3. образец; эталон; шаблон 4. пример; тип 5. стиль; дизайн) || моделировать (1. создавать упрощённое представление объекта, процесса или явления; пользоваться структурной аналогией 2. макетировать 3. создавать образец, эталон или шаблон 4. пользоваться примером; относить к определённому типу) || модельный (1. относящийся к упрощённому представлению объекта, процесса или явления; использующий структурную аналогию 2. макетный 3. образцовый; эталонный; шаблонный 4. примерный; типовой)2) служить моделью; выполнять функции модели3) создавать по образцу, эталону или шаблону4) придерживаться определённого стиля; следовать выбранному дизайну•- 2-D model
- adaptive expectations model
- additive model of neural network
- analog model
- antenna scale model
- application domain model
- AR model
- ARCH model
- ARDL model
- ARIMA model
- ARMA model
- atmospheric density model
- autoregressive conditional heteroscedastic model
- autoregressive distributed lags model
- autoregressive integrated moving average model
- autoregressive model
- autoregressive moving average model
- band model
- behavioral model
- Benetton model
- Berkeley short-channel IGFET model
- binary choice model
- binary model
- Bohr-Sommerfeld model of atom
- Bohr-Sommerfeld model
- Box-Jenkins model
- Bradley-Terry-Luce model
- brain-state-in-a-box model
- breadboard model
- Brookings models
- BSB model
- business model
- CAD model
- capability maturity model
- carrier-storage model
- causal model
- censored model
- centralized model
- charge-control model
- Chen model
- classical normal linear regression model
- classical regression model
- client-server model
- CMY model
- CMYK model
- cobweb model
- collective-electron model
- color model
- compact model
- component object model
- computer model
- computer-aided-design model
- conceptual data model
- conceptual model of hypercompetition
- conductor impedance model
- congruent model
- connectionist model
- continuum model
- Cox proportional hazards regression model
- data model
- Davidson-Hendry-Srba-Yeo model
- descriptive model
- design model
- deterministic model
- DHSY model
- discrete choice model
- distributed component object model
- distributed computing model
- distributed lags model
- distributed system object model
- distribution-free model
- document object model
- domain architecture model
- domain model
- duration model
- dynamic model
- EER-model
- energy-gap model
- entity-relationship model
- ER-model
- error correction model
- errors-in-variables model
- experimental model
- extended entity-relationship model
- extended relational data model
- extended relational model
- extensional model
- ferromagnetic Fermi-liquid model
- file level model
- financial model
- finite-population model
- fixed-effects model
- flat Earth model
- flat free model of advertising
- formalized model
- fractal model
- frame model
- fuzzy model
- GARCH model
- generalized autoregressive conditional heteroscedastic model
- generalized linear model
- geometric model
- geometrical lags model
- gross-level model
- ground-environment model
- Haken-Kelso-Bunz model
- Heisenberg model
- heuristic model
- hierarchical data model
- HLS model
- holographic model
- HSB model
- HSV model
- Hubbard model
- huge model
- hybrid-pi model
- hypothesis model
- ideal model
- imaging model
- indexed colors model
- information model
- information-logical model
- intensional model
- intercept-only model
- ionospheric model
- irreversible growth model
- Ising model
- ISO/OSI reference model
- Klein model
- Kronig-Penney model
- L*a*b* model
- large model
- large-signal device model
- LCH model
- learning, induction and schema abstraction model
- life cycle model
- limited dependent variable model
- linear model
- linear probability model
- LISA model
- logical model
- logical-linguistic model
- logistic model
- logit model
- loglinear model
- Londons' model of superconductivity
- lookup-table model
- Lorentz model
- low-signal device model
- machine model
- macrolevel model
- magnetic hysteresis model
- magnetohydrodynamic plasma model
- mathematical model
- matrix-memory model
- medium model
- memory model
- MHD plasma model
- microlevel model
- Minsky frame model
- Minsky model
- mixed model
- molecular-field model
- moving average model
- multiple regression model
- multiplicative model
- nested model
- network data model
- network model
- non-nested model
- non-parametric model
- N-state Potts model
- N-tier model
- null model
- object data model
- object model
- one-dimensional model
- one-fluid plasma model
- operations model
- optimizing model
- parabolic-ionosphere model
- parametric model
- parsimonious model
- partial adjustment model
- phenomenological model
- physical model
- pilot model
- Pippard nonlocal model
- plant model
- Poisson model
- polar model
- polynomial lags model
- postrelational data model
- postrelational model
- Potts model
- predictive model
- Preisach model
- preproduction model
- price model of advertising
- probabilistic model
- probit model
- proportional hazard model
- proportional-odds model
- prototype model
- quadratic model
- qualitative dependent variable model
- quantum mechanical model of superconductivity
- quasi-equilibrium model
- quasi-linear model
- random coefficients model
- random-effects model
- register model
- relational data model
- relational model
- relative model
- representative model
- response-surface model
- RGB model
- Ridley-Watkins-Hilsum model
- rival models
- Rössler model
- RWH model
- saturated model
- scalar model
- SCSI architecture model
- semantic model
- semiotic model
- sharply bounded ionosphere model
- simulation model
- single-ion model
- Skyrme model
- small model
- small-signal device model
- solid model
- spherical Earth model
- state-space model
- statistical model
- stochastic model
- Stoner-Wohlfart model
- structural model
- stuck-at-fault model
- surface model
- symbolic model
- symbolic-form model
- synergetic model
- system model
- system object model
- test model
- thermodynamical model
- three-tier model
- tobit model
- transistor model
- translog model
- tropospheric model
- true model
- truncated model
- two-dimensional model
- two-dimensional regression model
- two-fluid model of superconductivity
- two-fluid plasma model
- two-tier model
- Van der Ziel's noise model
- variable parameter model
- vector model
- wire-frame model
- working modelThe New English-Russian Dictionary of Radio-electronics > model
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11 base
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12 basis
1) базис, база2) основание, фундамент4) базовый компонент, основа• -
13 class
1) класс; разряд; категория || классифицировать2) качество; сорт3) класс, группа ( в учебном заведении)4) курс лекций, курс обучения• -
14 distribution
1) распределение; распространение; раздача2) стат. распределение (вероятностей), закон распределения3) размещение, расположение4) разводка (напр., кабельных соединений)5) разделение, классификация6) зоол. ареал (область обитания какого-л. организма на земной поверхности)7) мех. эпюра8) полигр. разбор ( шрифта)9) растир, раскат ( краски)•distribution on a sphere —распределение на сфере
distribution truncated at both ends — распределение, усечённое с обеих сторон
distribution truncated at one end — распределение, усечённое с одной стороны
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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 idempotent
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17 induction
1) индукция, наведение, индуцирование3) впуск; всасывание4) индукционный•induction by confirmation — мат. конфирмативная индукция
induction by elimination — мат. элиминативная индукция
induction by enumeration — мат. энумеративная индукция
induction from n+1 to n — мат. индукция от n+1 к n
induction on length — мат. индукция по длине (формулы)
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18 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 -
19 model
1) макет; модель || моделировать2) образец4) модель, тип ( изделия)5) шаблон•- countably saturated model - countably uniform model - coupled channels model - finite state model - finitely generated model - game-theory model - random trial increment model - random walk model - sampling model -
20 norm
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- 2
См. также в других словарях:
Idéal — Pour les articles homonymes, voir Idéal (homonymie). En mathématiques, et plus particulièrement en algèbre, un idéal est un sous ensemble remarquable d un anneau. Par certains égards, les idéaux s apparentent aux sous espaces vectoriels ce sont… … Wikipédia en Français
Ideal class group — In mathematics, the extent to which unique factorization fails in the ring of integers of an algebraic number field (or more generally any Dedekind domain) can be described by a certain group known as an ideal class group (or class group). If… … Wikipedia
Idéal de l'anneau des entiers d'un corps quadratique — En mathématiques et plus précisément en théorie algébrique des nombres, l anneau des entiers d un corps quadratique ressemble à certains égards à celui des entiers relatifs. Certains d entre eux sont euclidiens comme celui des entiers de Gauss d… … Wikipédia en Français
Multiplicative group of integers modulo n — In modular arithmetic the set of congruence classes relatively prime to the modulus n form a group under multiplication called the multiplicative group of integers modulo n. It is also called the group of primitive residue classes modulo n. In… … Wikipedia
Ideal norm — In commutative algebra, the norm of an ideal is a generalization of a norm of an element in the field extension. It is particularly important in number theory since it measures the size of an ideal of a complicated number ring in terms of an… … Wikipedia
Anneau idéal — Idéal Pour les articles homonymes, voir Idéal (homonymie). En mathématiques, un idéal est une structure algébrique définie dans un anneau. Les idéaux généralisent de façon féconde l étude de la divisibilité pour les entiers. Il est ainsi possible … Wikipédia en Français
Maximal ideal — In mathematics, more specifically in ring theory, a maximal ideal is an ideal which is maximal (with respect to set inclusion) amongst all proper ideals.[1][2] In other words, I is a maximal ideal of a ring R if I is an ideal of R, I ≠ R, and… … Wikipedia
Norm of an ideal — The norm of an ideal is defined in algebraic number theory. Let Ksubset L be two number fields with rings of integers O Ksubset O L. Suppose that the extension L/K is a Galois extension with :G= extstyle{Gal}(L/K). The norm of an ideal I of O L… … Wikipedia
prime ideal — Math. an ideal in a ring with a multiplicative identity, having the property that when the product of two elements of the ring results in an element of the ideal, at least one of the elements is an element of the ideal. * * * … Universalium
prime ideal — Math. an ideal in a ring with a multiplicative identity, having the property that when the product of two elements of the ring results in an element of the ideal, at least one of the elements is an element of the ideal … Useful english dictionary
principal ideal — Math. the smallest ideal containing a given element in a ring; an ideal in a ring with a multiplicative identity, obtained by multiplying each element of the ring by one specified element. [1935 40] * * * … Universalium