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1 vector inequality
Большой англо-русский и русско-английский словарь > vector inequality
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2 vector inequality
Математика: векторное неравенство -
3 vector inequality
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4 inequality
1) неравенство, неравность2) неровность (поверхности); неодинаковость3) матем. неравенство -
5 векторное неравенство
vector inequality мат.Русско-английский научно-технический словарь Масловского > векторное неравенство
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6 векторное неравенство
Большой англо-русский и русско-английский словарь > векторное неравенство
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7 векторное неравенство
Mathematics: vector inequalityУниверсальный русско-английский словарь > векторное неравенство
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8 Определенные артикли перед существительными, которые снабжены ссылками
The differential problem (1) can be reduced to the form (2)The asymptotic formula (1) follows from the above lemmaThe differential equation (1) can be solved numericallyWhat is needed in the final result is a simple bound on quantities of the form (1)The inequality (1) (артикль можно опустить) shows that $a>b$The bound (estimate) (2) is not quite as good as the bound (estimate) (1)If the norm of $A$ satisfies the restriction (1), then by the estimate (2) this term is less than unitySince the spectral radius of $A$ belongs to the region (1), this iterative method converges for any initial guessesThe array (1) is called the matrix representing the linear transformation of $f$It should be noted that the approximate inequality (1) bounds only the absolute error in $x$The inequality (1) shows that...The second step in our analysis is to substitute the forms (1) and (2) into this equation and simplify it by dropping higher-order termsFor small $ze$ the approximation (1) is very good indeedA matrix of the form (1), in which some eigenvalue appears in more than one block, is called a derogatory matrixThe relation between limits and norms is suggested by the equivalence (1)For this reason the matrix norm (1) is seldom encountered in the literatureTo establish the inequality (1) from the definition (2)Our conclusion agrees with the estimate (1)The characterization is established in almost the same way as the results of Theorem 1, except that the relations (1) and (2) take place in the eigenvalue-eigenvector relation...This vector satisfies the differential equation (1)The Euclidean vector norm (2) satisfies the properties (1)The bound (1) ensures only that these elements are small compared with the largest element of $A$There is some terminology associated with the system (1) and the matrix equation (2)A unique solution expressible in the form (1) restricts the dimensions of $A$The factorization (1) is called the $LU$-factorizationIt is very uncommon for the condition (1) to be violatedThe relation (1) guarantees that the computed solution gives very small residualThis conclusion follows from the assumptions (1) and (2)The factor (1) introduced in relation (2) is now equal to 2The inequalities (1) are still adequateWe use this result without explicitly referring to the restriction (1)Русско-английский словарь по прикладной математике и механике > Определенные артикли перед существительными, которые снабжены ссылками
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9 Отсутствие артиклей перед существительными, которые снабжены ссылками
It follows from Theorem 1 that $x=1$Section 2 of this paper gives (contains) a concise presentation of the notation to be used belowProperty 1 is called (known as) the triangle inequalityThis assertion (statement, proposition) has been proved in part 1 (part (a)) of the (our) proofAlgorithm 1 (с большой буквы) defines elementary permutations and elementary triangle matrices of index 2Equation (1) ((the) inequality (1)) can thus be written in the (артикль обязателен) form (2)In the language of our notation, algorithm (1) (с маленькой буквы) is a stable way of computing the inner productThe only place where the algorithm can break down is in statement 3 (in Statement 3)We combine Exercises 1 and 2 to construct an algorithm for finding an approximate eigenvectorThis case is illustrated in (но не on) Figure 1The asymptotic formula (1) was proved in Example 1Corollary 1 can be used to estimate the error in the inverse of a perturbed matrixBy property 1 (by Theorem 1), this function is positive except at the zero vectorA less trivial example is given in Appendix 3Step 1 in Example 1 and steps 2 and 3 in Example 2The idea of a norm will be introduced in Chapter 4Now from statements 2 and 3 of (1), we have...All the drivers for solving linear systems are listed in Table 1 (are illustrated in Figure 1)If Algorithm 1 in four-digit arithmetic is applied to refine $x$, then we obtain...Assertion (ii) is nothing but the statement that one natural way of extending these ideas to $R^n$ is to generalize formula (1) to obtain a Euclidean length of a vectorBy property 1, this function is positive except at the zero vectorWe have seen on page 3 that set of matrices is a vector space which is essentially identical with...Equation (1) effectively gives an algorithm for using the output of Algorithm 1 to solve...Русско-английский словарь по прикладной математике и механике > Отсутствие артиклей перед существительными, которые снабжены ссылками
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10 asymptotic
1) асимптотический
2) асимптотика
3) полусходящийся ∙ arcwise asymptotic value ≈ дуговое асимптотическое значение asymptotic confidence interval ≈ асимптотический доверительный интервал asymptotic equipartition property ≈ свойство асимптотической равнораспределенности asymptotic essential component ≈ асимптотическая существенная компонента asymptotic expansion formula ≈ формула асимптотического разложения ( функции) asymptotic passage theorem ≈ теорема об асимптотическом поведении переходных вероятностей asymptotic power series expansion ≈ разложение в асимптотический степенной ряд asymptotic sequential design ≈ асимптотический последовательный план basic asymptotic estimate ≈ основная асимптотическая оценка central asymptotic problem ≈ центральная асимптотическая проблема doubly asymptotic triangle ≈ дважды асимптотический треугольник first asymptotic distribution ≈ первое предельное распределение multiply asymptotic series ≈ многократно асимптотический ряд negatively asymptotic point ≈ отрицательно асимптотическая точка pointwise asymptotic value ≈ точечное асимптотическое значение positively asymptotic point ≈ положительно асимптотическая точка simple asymptotic sieve ≈ простое асимптотическое решето trebly asymptotic triangle ≈ трижды асимптотический треугольник uniform asymptotic representation ≈ равномерное асимптотическое представление virtually asymptotic net ≈ виртуально асимптотическая сеть - asymptotic expression - asymptotic fairness - asymptotic fibration - asymptotic field - asymptotic flatness - asymptotic form - asymptotic formula - asymptotic frequency - asymptotic function - asymptotic geodesic - asymptotic growth - asymptotic helicity - asymptotic hexagon - asymptotic hyperplane - asymptotic inadmissibility - asymptotic independence - asymptotic inequality - asymptotic information - asymptotic integration - asymptotic interpolation - asymptotic invariance - asymptotic iteration - asymptotic law - asymptotic learning - asymptotic likelihood - asymptotic limit - asymptotic line - asymptotic linearity - asymptotic mean - asymptotic method - asymptotic mimimum - asymptotic minimax - asymptotic model - asymptotic moment - asymptotic nature - asymptotic negligibility - asymptotic net - asymptotic normalcy - asymptotic normality - asymptotic operator - asymptotic optimality - asymptotic optimum - asymptotic order - asymptotic parabola - asymptotic parallel - asymptotic path - asymptotic period - asymptotic phase - asymptotic plane - asymptotic point - asymptotic power - asymptotic prediction - asymptotic prime - asymptotic probability - asymptotic problem - asymptotic property - asymptotic proportionality - asymptotic ratio - asymptotic recurrence - asymptotic region - asymptotic relation - asymptotic representation - asymptotic resolvent - asymptotic restriction - asymptotic result - asymptotic root - asymptotic scaling - asymptotic semiform - asymptotic sequence - asymptotic series - asymptotic set - asymptotic shape - asymptotic sieve - asymptotic simplicity - asymptotic slope - asymptotic smallness - asymptotic solution - asymptotic spot - asymptotic stability - asymptotic state - asymptotic sufficiency - asymptotic sum - asymptotic surface - asymptotic symbol - asymptotic symmetry - asymptotic technique - asymptotic test - asymptotic theor - asymptotic theorem - asymptotic tract - asymptotic trajectory - asymptotic transformation - asymptotic triangle - asymptotic twistor - asymptotic unbiasedness - asymptotic value - asymptotic variable - asymptotic variance - asymptotic vector - isothermally asymptoticасимптотическийasymptotic асимптотическийБольшой англо-русский и русско-английский словарь > asymptotic
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11 constraint
1) ограничение; ограничивающее условие2) принуждение•under constraints — при ограничениях, в условиях ограничений
to dispense with a constraint — мат. освободиться от
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12 measure
1) мера2) мероприятие3) средство измерения || измерять4) критерий; мерило5) мерная посуда || отмеривать; дозировать6) полигр. формат полосы набора•fundamental in measure — мат. фундаментальный по мере
measure with basis — мат. мера с базисом
measure with value — мат. мера со значением
measure on intervals —мат. мера на интервалах
measure on rings — мат. мера на кольцах
of zero measure — мат. нульмерный
precision measure by external consistency — мат. мера точности по внешней совместности, мера точности переопределённых исходных уравнений
precision measure by internal consistency — мат. мера точности по внутренней совместности, мера точности по оценке экспериментальной погрешности исходных данных
to measure up — соответствовать, удовлетворять ( требованиям)
- completely random measure - locally finite measure - measure of relative skewness - normed measure - strongly dominant measure - totally finite measureto take measure — швейн. снимать мерку
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13 modulus
2) коэффициент3) матем. модуль•- composite modulus - compound modulus - modulus of complex number - universal logic modulus -
14 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
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