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1 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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2 проверять
•It can be easily verified that Eq. (15-29) reduces to Eq. (15-28) when...
•The level of radioactivity is carefully monitored.
•In this way a check on the accuracy of the gauge-glass reading is made.
•The magnetic field was checked against that of a permanent magnet.
•The pressure recorded was checked periodically against a water manometer.
••To keep check on the angle of bend,...
•The interior of the boiler should be examined for tools that might have been left inside.
•Steam lines should be examined frequently for corrosion.
•The crankcase should be inspected for excessive gases.
•To test these conclusions, we carried out several experiments.
•The above theory was tested by results of three experiments.
•This formula permits verification of the value of .
Русско-английский научно-технический словарь переводчика > проверять
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3 исходный пункт
1) General subject: base, basis, bench-mark, ground zero (АД), point of departure (в рассуждении и т. п.), point of departure2) Geology: main base3) Naval: main scheme station4) Military: departure point, departure point (движения), initial point, initial point (движения), jumping-off point (атаки), origin point, origin point (движения), reference point, start point, starting point5) Engineering: datum point, origin7) Railway term: point of commencement8) Accounting: bench mark (напр. анализа)9) Diplomatic term: point of reference10) Cartography: initial station, main base station11) Business: point departure12) Aviation medicine: base point13) Makarov: foundation, point of departure (в рассуждении и т.п.) -
4 Что
..., which (но не what) establishes the formula..., which (но не what) completes the proof..., which (но не what) is impossibleWe see (conclude, deduce, find, infer, но не have или obtain) that this matrix is symmetricBut $x=y$, which (но не what) follows from...$D$ is equal to zero, which (но не what) yields (gives, implies) $x=y$..., which (но не what) contradicts the maximality of...He expected these data to differ greatly from the information received from this experimentРусско-английский словарь по прикладной математике и механике > Что
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5 прямоугольник
1. rectangle2. rectangular
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