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1 Problem Analysis Matrix
Abbreviation: PAMУниверсальный русско-английский словарь > Problem Analysis Matrix
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2 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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3 исчисление
calculus, computation* * *исчисле́ние с.
calculusисчисле́ние бесконе́чно ма́лых — infinitesimal calculusвариацио́нное исчисле́ние — calculus of variationsве́кторное исчисле́ние — vector calculus, vector analysisисчисле́ние вероя́тностей — calculus of probabilityисчисле́ние выска́зываний — sentential [propositional] calculusдифференциа́льное исчисле́ние — differential calculusисчисле́ние зада́ч — problem calculusинтегра́льное исчисле́ние — integral calculusлоги́ческое исчисле́ние — logical calculusма́тричное исчисле́ние — matrix calculusоперацио́нное исчисле́ние — operational calculusисчисле́ние предика́тов — predicate calculusпропозициона́льное исчисле́ние — propositional calculusрасши́ренное исчисле́ние — extended calculusспино́рное исчисле́ние — spinor calculusте́нзорное исчисле́ние — tensor calculusфункциона́льное исчисле́ние — functional calculus* * *
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