-
1 норма вектора
норма вектора
—
[ http://www.iks-media.ru/glossary/index.html?glossid=2400324]Тематики
- электросвязь, основные понятия
EN
Русско-английский словарь нормативно-технической терминологии > норма вектора
-
2 векторная норма
vector norm мат.Русско-английский научно-технический словарь Масловского > векторная норма
-
3 норма вектора
1) Mathematics: norm of a vector, norm of vector2) Makarov: vector norm -
4 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
-
5 векторная норма
Mathematics: vector norm -
6 это норма вектора, порождаемая скалярным произведением
Mathematics: it is the vector norm derived from the inner productУниверсальный русско-английский словарь > это норма вектора, порождаемая скалярным произведением
-
7 Снабжен
Equipped with an arc metricSupplied with a matrix (vector) normРусско-английский словарь по прикладной математике и механике > Снабжен
-
8 норма вектора
Русско-английский новый политехнический словарь > норма вектора
-
9 норма вектора
norm of vector мат., normРусско-английский научно-технический словарь Масловского > норма вектора
-
10 норма вектора
-
11 норма вектора
-
12 векторнозначная норма
vector-valued norm мат.Русско-английский научно-технический словарь Масловского > векторнозначная норма
-
13 норма вектора
-
14 вектор
one-dimensional array, array, ( на комплексной плоскости) phasor, vector* * *ве́ктор м.
vectorно́рма ве́ктора — length [norm] of a vectorпрое́кция [составля́ющая] ве́ктора — vector componentаксиа́льный ве́ктор — axial vector, pseudovectorба́зисный ве́ктор — basis vectorбезвихрево́й ве́ктор — irrotational vectorбесконечноме́рный ве́ктор — vector of infinite number of dimensions, dimensional vectorве́ктор Бю́ргерса — Burgers [slip] vectorвзаи́мные ве́кторы — reciprocal vectorsве́ктор возду́шной ско́рости — heading velocity, air speed [heading] vectorволново́й ве́ктор — wave vectorвраща́ющийся ве́ктор — rotating vectorдвойно́й ве́ктор — divectorедини́чный ве́ктор — unit vectorковариа́нтный ве́ктор — covariant vectorколлинеа́рные ве́кторы — collinear vectorsкомплана́рные ве́кторы — coplanar vectorsконтравариа́нтный ве́ктор — contravariant vectorкоордина́тный ве́ктор — position vectorве́ктор кривизны́ — buckling vectorлине́йно-зави́симые ве́кторы — linear-dependent vectorsлине́йно-незави́симые ве́кторы — linear-independent vectorsмагни́тный ве́ктор — magnetic vectorn-ме́рный ве́ктор — n -dimensional vectorненулево́й ве́ктор — non-vanishing vectorве́ктор норма́ли — normal vectorнулево́й ве́ктор — null vectorобращё́нный ве́ктор — reversed vectorортогона́льные ве́кторы — orthogonal vectorsосево́й ве́ктор — axial vector, pseudovectorве́ктор По́йнтинга — Pounting's [energy-flux] vectorве́ктор положе́ния то́чки — radius vectorполя́рный ве́ктор — polar vectorпростра́нственный ве́ктор — space vectorве́ктор путево́й ско́рости — track velocity, ground-speed [track] vectorра́вные ве́кторы — equipollent vectorsрезульти́рующий ве́ктор — resultant vectorсвобо́дный ве́ктор — free vectorсвя́занный ве́ктор — localized vectorве́ктор сдви́га — Burgers [slip] vectorсимволи́ческий ве́ктор — symbolic vectorве́ктор скольже́ния — Burgers [slip] vectorскользя́щий ве́ктор — non-localized vectorве́ктор ско́рости — velocity vectorсвя́занный ве́ктор — localized vectorсо́бственный ве́ктор — eigenvector, proper [latent] vectorсоленоида́льный ве́ктор — solenoidal vectorсоставля́ющий ве́ктор — component vectorве́ктор состоя́ния — state vectorтангенциа́льный ве́ктор — tangent vectorве́ктор то́ка — current vectorуправля́ющий ве́ктор — control vectorэлектри́ческий ве́ктор — electric vector* * * -
15 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
-
16 векторнозначная норма
Mathematics: vector-valued normУниверсальный русско-английский словарь > векторнозначная норма
См. также в других словарях:
Norm — or NORM may refer to: Contents 1 In academia 1.1 In mathematics 2 People 3 Miscellaneous 4 … Wikipedia
Norm (mathematics) — This article is about linear algebra and analysis. For field theory, see Field norm. For ideals, see Norm of an ideal. For group theory, see Norm (group). For norms in descriptive set theory, see prewellordering. In linear algebra, functional… … Wikipedia
Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… … Wikipedia
Vector notation — This page is an overview of the common notations used when working with vectors, which may be spatial or more abstract members of vector spaces.The common typographic convention for representing a vector is upright boldface type, as in v for a… … Wikipedia
norm — normless, adj. /nawrm/, n. 1. a standard, model, or pattern. 2. general level or average: Two cars per family is the norm in most suburban communities. 3. Educ. a. a designated standard of average performance of people of a given age, background … Universalium
Vector measure — In mathematics, a vector measure is a function defined on a family of sets and taking vector values satisfying certain properties. Definitions and first consequencesGiven a field of sets (Omega, mathcal F) and a Banach space X, a finitely… … Wikipedia
norm — noun Etymology: Latin norma, literally, carpenter s square Date: 1674 1. an authoritative standard ; model 2. a principle of right action binding upon the members of a group and serving to guide, control, or regulate proper and acceptable… … New Collegiate Dictionary
Norm form — In mathematics, a norm form is a homogeneous form in n variables constructed from the field norm of a field extension L/K of degree n. That is, writing N for the norm mapping to K, and selecting a basis e1, ..., en for L as a vector space over K … Wikipedia
norm — 1. noun /nɔːm,nɔrm/ a) That which is regarded as normal or typical. Unemployment is the norm in this part of the country. b) A rule that is enforced by members of a community. Not eating your children is just one of those societal norms. See Also … Wiktionary
norm — [[t]nɔrm[/t]] n. 1) soc a standard, model, or pattern 2) soc a rule or standard of behavior expected of each member of a social group 3) soc a behavior pattern or trait considered typical of a particular social group 4) the general level or… … From formal English to slang
Normed vector space — In mathematics, with 2 or 3 dimensional vectors with real valued entries, the idea of the length of a vector is intuitive and can easily be extended to any real vector space Rn. The following properties of vector length are crucial. 1. The zero… … Wikipedia
