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1 приближенная формула
Русско-английский синонимический словарь > приближенная формула
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2 приближённая формула
approximate formula, approximation formula -
3 приближенная формула
approximate formula матем.Русско-английский научно-технический словарь Масловского > приближенная формула
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4 приближенный
1. approximate2. approximately3. approximatedРусско-английский новый политехнический словарь > приближенный
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5 приближенный
1. proximate2. approximate3. aproximate4. confidantСинонимический ряд:приблизительно (проч.) грубо; на глаз; ориентировочно; приблизительно; примерно -
6 приближенный
1. approximate2. approximatelyРусско-английский словарь по информационным технологиям > приближенный
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7 приближённая формула
1) Engineering: approximation formula2) Construction: approximate equation3) Mathematics: approximation4) Information technology: approximate formulaУниверсальный русско-английский словарь > приближённая формула
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8 приближенная формула
1) Engineering: approximation formula2) Construction: approximate equation3) Mathematics: approximation4) Information technology: approximate formulaУниверсальный русско-английский словарь > приближенная формула
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9 использование
use, utilization, employment, harnessing, tapping• ..., что неудовлетворительно для использования их в качестве приближенного базиса. -... which is unsatisfactory for using them as an approximate basis.• Безусловно, нет ничего нового в использовании... - There is, of course, nothing new in the use of...• Безусловно, это требует использования... - This, of course, requires the use of...• Во-вторых, мы должны заметить относительно использования (чего-л). - Secondly, we must comment on the use of...• Данная задача решается с использованием... - The problem is solved by means of...• Для дальнейшего использования давайте протабулируем... - For future reference, let us tabulate...• Другими словами, ничто не удерживает нас от использования... - In other words, there is nothing to prevent us from using...• Использование таких материалов все еще обсуждается. - The use of such materials is under discussion.• Нет никаких особых преимуществ в использовании... - There is no special merit in using...• Нужно быть осторожным при использовании данной формулы. - One must be careful in using this formula.• Один из способов решения данной проблемы состоит в использовании... - One way of overcoming this problem is to use...• Одной из возможностей здесь является использование... - One possibility is to use...• Использование оценки, предоставляемой соотношением (i), ограничено, поскольку... - The bound provided by (i) is of limited use because...• При использовании... имеются определенные неудобства. - There are certain disadvantages in the use of...• Пример его/ее использования уже приведен в Главе 2. - An example of its use has already been given in Chapter 2.• Рассмотрим теперь использование... - Consider now the use of...• С целью дальнейшего использования заметим здесь... - Let us note here, for future use,...• Сначала мы обсудим использование (метода и т. п.)... - We first discuss the use of...• Среди них мы можем упомянуть использование... - Among these may be mentioned the use of...• Такое (его) использование не является абсолютно правильным, так как... - This usage is not strictly accurate, since...• Тем не менее, имеется много опасностей в использовании... - Nevertheless, there are many dangers in the use of...• Часто использование альтернативной формулы (2) имеет свои преимущества. - It is often advantageous to use the alternative formula (2).• Эта модификация завершается использованием... - The modification is accomplished by using...• Это затруднение возникает вследствие использования... - This difficulty arises from the use of...• Эти достоинства (метода) привели к широкому использованию... - These advantages have led to the widespread use of...• Это объясняется продолжительным использованием... - This accounts for the continued use of...• Это проделывается с помощью использования двух следующих методов:... - This is done by employing two different methods:... -
10 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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11 приближенная аналитическая формула
Mathematics: approximate analytical formulaУниверсальный русско-английский словарь > приближенная аналитическая формула
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12 выражение
* * *выраже́ние с. мат.
expressionалгебраи́ческое выраже́ние — algebraic expressionнайти́ чи́сленное значе́ние алгебраи́ческого выраже́ния — evaluate an algebraic expressionаналити́ческое выраже́ние — analytic(al) expressionвыраже́ние в коне́чном ви́де — expression in closed form, finite formulaвыраже́ние в ско́бках — bracketed [parenthetical] expressionвы́деленное выраже́ние — singled-out expressionимену́ющее выраже́ние — designational expressionи́стинное выраже́ние — true expressionнеопределё́нное выраже́ние — indeterminate formобра́тное выраже́ние — reciprocal expressionопределя́емое выраже́ние — definiendumопределя́ющее выраже́ние — definiensподкоренно́е выраже́ние — radicand, expression under the radicalподынтегра́льное выраже́ние — integrand, integration element, expression under the integral signприближё́нное выраже́ние — approximate expressionсодержа́тельное выраже́ние — semantic expressionстепенно́е выраже́ние — exponential expression, exponentiationчи́сленное выраже́ние — numerical expression -
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
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