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1 Unique Factorization Domain
Mathematics: UFDУниверсальный русско-английский словарь > Unique Factorization Domain
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2 теорема о единственности разложения числа
Русско-английский математический словарь > теорема о единственности разложения числа
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3 однозначное разложение
unique factorization мат.Русско-английский научно-технический словарь Масловского > однозначное разложение
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4 теорема о единственности разложения числа
Русско-английский научный словарь > теорема о единственности разложения числа
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5 область с однозначным разложением на множители
Mathematics: UFD (unique factorization domain), unique factorization domainУниверсальный русско-английский словарь > область с однозначным разложением на множители
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6 единственное (возможное) разложение на множители
Makarov: unique factorizationУниверсальный русско-английский словарь > единственное (возможное) разложение на множители
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7 однозначное разложение
Mathematics: unique factorization (на множители)Универсальный русско-английский словарь > однозначное разложение
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8 теорема о единственности разложения
Универсальный русско-английский словарь > теорема о единственности разложения
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9 единственное разложение на множители
Makarov: (возможное) unique factorizationУниверсальный русско-английский словарь > единственное разложение на множители
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10 теорема единственности
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11 теорема единственности
Русско-английский новый политехнический словарь > теорема единственности
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12 теорема единственности
Русско-английский словарь по информационным технологиям > теорема единственности
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13 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
См. также в других словарях:
Unique factorization domain — In mathematics, a unique factorization domain (UFD) is, roughly speaking, a commutative ring in which every element, with special exceptions, can be uniquely written as a product of prime elements, analogous to the fundamental theorem of… … Wikipedia
Noncommutative unique factorization domain — In mathematics, the noncommutative unique factorization domain is the noncommutative counterpart of the commutative or classical unique factorization domain (UFD). Example The ring of integral quaternions. If the coefficients a0, a1, a2, a3 are… … Wikipedia
Factorization — This article is about the mathematical concept. For other uses, see Factor and Integer factorization. A visual illustration of the polynomial x2 + cx + d = (x + a)(x + b) where… … Wikipedia
unique — adjective Etymology: French, from Latin unicus, from unus one more at one Date: 1602 1. being the only one ; sole < his unique concern was his own comfort > < I can t walk away with a unique copy. Suppose I lost it? Kingsley Amis > < the unique… … New Collegiate Dictionary
Factorization system — In mathematics, it can be shown that every function can be written as the composite of a surjective function followed by an injective function. Factorization systems are a generalization of this situation in category theory.DefinitionA… … Wikipedia
Unique prime — In mathematics, a unique prime is a certain kind of prime number. A prime p ≠ 2, 5 is called unique if there is no other prime q such that the period length of the decimal expansion of its reciprocal, 1 / p , is equivalent to the period length of … Wikipedia
Non-negative matrix factorization — NMF redirects here. For the bridge convention, see new minor forcing. Non negative matrix factorization (NMF) is a group of algorithms in multivariate analysis and linear algebra where a matrix, , is factorized into (usually) two matrices, and… … Wikipedia
Polynomial factorization — In mathematics and computer algebra, polynomial factorization typically refers to factoring a polynomial into irreducible polynomials over a given field. Formulation of the questionOther factorizations, such as square free factorization exist,… … Wikipedia
Invariant factorization of LPDOs — IntroductionFactorization of linear ordinary differential operators (LODOs) is known to be unique and in general, it finally reduces to the solution of a Riccati equation [http://en.wikipedia.org/wiki/Riccati equation] , i.e. factorization of… … Wikipedia
Integer factorization — In number theory, integer factorization is the way of breaking down a composite number into smaller non trivial divisors, which when multiplied together equal the original integer.When the numbers are very large, no efficient integer… … Wikipedia
Stinespring factorization theorem — In mathematics, Stinespring s dilation theorem, also called Stinespring s factorization theorem, is a result from operator theory that represents any completely positive map on a C* algebra as a composition of two completely positive maps each of … Wikipedia
