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the fundamental equation

  • 1 основное уравнение

    Универсальный русско-английский словарь > основное уравнение

  • 2 основное уравнение

    The basic (or general, or fundamental) equation of the heat balance...

    Русско-английский научно-технический словарь переводчика > основное уравнение

  • 3 главная идея

    1) General subject: keynote, upshot, Pillar
    2) Military: principal idea
    3) Mathematics: the basic point is that the initial equation can be approximated in the form (2.4), the main point is that the initial equation can be approximated in the form (2.4)
    5) Makarov: dominant idea

    Универсальный русско-английский словарь > главная идея

  • 4 параграф

    (см. также глава, книга, обзор) section
    В данном параграфе дается обзор фундаментальных зависимостей между... и... - This section reviews the fundamental relationships between... and...
    В данном параграфе мы обсуждаем некоторые простые свойства и примеры... - In this section we discuss some simple properties and examples of...
    В данном параграфе мы часто имеем дело с... - In this section we often deal with...
    В оставшейся части данного параграфа мы будем иметь дело только с... - The remainder of this section applies only to...
    В оставшейся части этого параграфа мы будем заниматься... - For the remainder of this section we will be interested in...
    В параграфе 2 мы обсудим применимость... - In Section 2 we will comment on the applicability of...
    В последнем параграфе мы обнаружили, что... - In the last section we discovered that...
    В предыдущем параграфе мы уже показали, как исследовать... - In the preceding section we have shown how to investigate...
    В предыдущем параграфе мы упоминали, что... - In the preceding section we mentioned that...
    В следующей части параграфа приводятся некоторые дополнительные соображения. - The following subsection outlines some additional considerations.
    В следующем параграфе мы обсудим примеры... - In the next section we discuss examples of...
    В этом параграфе мы даем краткое введение в... - In this section we give a brief introduction to...
    В этом параграфе мы иллюстрируем применение... - In this section we illustrate the application of...
    В этом параграфе мы наметим элементы техники, используемой для... - In this section we outline the techniques used to...
    В этом параграфе мы исследуем явления... - In this section we examine the effects of...
    В этом параграфе мы суммируем некоторые свойства... - We summarize in this section some of the properties of...
    В этом параграфе мы сделаем обзор некоторых из наблюдаемых особенностей... - In this section we shall review some of the observed features of...
    В этом параграфе мы устанавливаем основные факты относительно... - In this section we establish the basic facts about...
    Всюду в этом параграфе мы предполагали, что... - Throughout this section we have assumed that...
    В завершение этого параграфа стоит заметить, что... - То close this section it is worth noting that...
    Для поставленных в этом параграфе целей более удобно (ввести и т. п.)... - For the purposes of this section it is more convenient to...
    Задача, которая будет рассматриваться в данном параграфе,... - The problem to be considered in this section...
    Из результатов последнего параграфа становится ясно, что... - It is apparent from the last section that...
    Из уравнения (1) параграфа 1 мы имеем... - We have, from equation (1) of Section 1,...
    Как мы увидим в следующем параграфе, это не просто совпадение. - This is not a coincidence, as we will see in the next section.
    Метод, приведенный в этом параграфе, может быть подобным образом применен к... - The method of sections may be applied in a similar way to...
    Мы заканчиваем этот параграф несколькими замечаниями относительно... - We will end this section with a few comments regarding...
    Мы завершаем данный параграф замечанием, что... - We conclude this section by remarking that...
    Мы завершаем этот параграф кратким анализом... - We conclude this section with a brief analysis of...
    Мы завершаем этот параграф упоминанием другого (метода и т. п.)... - We conclude this section by mentioning another...
    Мы откладываем обсуждение подобных методов до параграфа 5. - We defer the discussion of such methods to Section 5.
    Цель этого параграфа состоит в нахождении... - Our interest in this section is in finding...
    Несколько решенных примеров представлены в следующем параграфе. - Several worked out examples are presented in the next section.
    Однако основной упор в этом параграфе делается на... - The main emphasis of this section, however, is...
    Основной идеей этого параграфа является... - The main idea of this section is that...
    Основной упор в данном параграфе будет сделан на... - The main emphasis in this section will be on...
    Основные идеи, намеченные в данном параграфе, могут быть проиллюстрированы... - The points made in this section can be illustrated by...
    Оставшуюся часть параграфа мы посвящаем... - We devote the rest of this section to...
    Понятно, что правила, выведенные в предыдущем параграфе, позволят нам... - It is clear that the rules of the previous section will enable us to...
    Содержание данного параграфа можно обобщить на самые разные направления. - The subject matter of this section can be generalized in numerous directions.
    Таким образом, мы можем обобщить результаты из первого параграфа и сообщить, что... - Thus, we can generalize the results of Section 1 and state that...
    Теперь мы возвращаемся к примеру, рассмотренному во втором параграфе. - We now return to the example treated in Section 2.
    Целью следующего параграфа является нахождение условий, позволяющих... - The aim of the next section is to establish conditions which enable us to...
    Целью этого параграфа является краткий обзор... - The purpose of this section is to give a quick sketch of...
    Эти методы вводятся в следующем параграфе. - These methods are introduced in the next section.
    Это будет проиллюстрировано в следующем параграфе, где мы рассматриваем... - This will be illustrated further in the next section where we consider...
    Это краткий подготовительный параграф. - This is a short preparatory section.

    Русско-английский словарь научного общения > параграф

  • 5 давать

    yield, provide

    Term-by-term differentiation yields the following equation --- Почленное дифференцирование дает следующее уравнение The theorem provides a new method for proving some fundamental facts about... --- Эта теорема дает новый метод доказательства некоторых фундаментальных фактов о...

    Русско-английский словарь механических и общенаучных терминов > давать

  • 6 результат

    (см. также факт) result, effect, consequence, finding
    Результат более общего типа формулируется следующим образом. - The following is a more general result of the same kind.
    Более определенные результаты были сформулированы Смитом [1]. - More definite results have been formulated by Smith [1].
    В действительности данный результат означает, что... - This result means, in effect, that...
    В результате практически все, работающие в данной области, желали допустить, что... - As a result, practically everyone in the field was willing to admit that...
    В результате преобразования уравнение (1) принимает вид... - After simplification equation (1) becomes...
    В результате следует заключить, что... - Consequently, one must conclude that...
    В результате существовала тенденция... - As a result, there has been a tendency to...
    В результате этого происходит заметное уменьшение... - This results in a marked decrease in...
    В результате, теперь достаточно лишь доказать, что... - Consequently it is enough to prove that...
    В соответствии с данным результатом мы можем определить... - In accordance with this result, we may identify...
    В то же самое время, данные результаты указывают, что... - At the same time, the results indicate that...
    В этом приложении мы приводим результаты... - In this appendix we present the results of...
    Важность данного результата состоит в том, что он четко устанавливает... - The importance of this result is that it clearly establishes...
    Возможно, наилучший способ сформулировать результаты - это... - Probably the best way to express the results is to use...
    Можно грубо выразить (= сформулировать) тот же результат, говоря, что... - This result is expressed roughly by saying that...
    Данный результат должен выглядеть знакомым любому, кто изучал... - This result should look familiar to anyone who has studied...
    Данный результат допускает простую геометрическую интерпретацию. - The result admits a simple geometrical interpretation.
    Данный результат имеет простую физическую интерпретацию. - This result has a simple physical interpretation.
    Данный результат может быть сформулирован в несколько более простой форме следующим образом. - This result can be written in a slightly simpler form as follows.
    Данный результат находится в полном согласии с... - The result is in perfect agreement with...
    Данный результат объясняет/разъясняет... - This result explains...
    Данный результат объясняется и качественно, и количественно предположением, что... - This result is both qualitatively and quantitatively explained by the assumption that...
    Данный результат окажется полезным при обсуждении (чего-л). - This result will prove useful in the discussion of...
    Данный результат остается справедливым, если... - The result remains true if...
    Данный результат принадлежит Гауссу. - This result is due to Gauss.
    Данный результат следует немедленно, если мы можем показать, что... - The result will follow immediately if we can show that...
    Данный результат согласуется с... - This result is in agreement with...
    Данный результат также может быть получен с применением... - This result can also be obtained by the application of...
    Данный результат, который можно легко проверить, состоит в том, что... - The result, which may be easily verified, is...
    Для того, чтобы доказать этот результат, мы должны, во-первых, вычислить... - In order to prove this result we must first calculate...
    Другой интересный результат, принадлежащий Риману, состоит в том, что... - Another interesting result, due to Riemann, is. that...
    Другой способ получения того же результата появляется, если заметить, что... - Another way of obtaining the same result is to note that...
    Его результаты могут быть подытожены следующей теоремой. - His results may be summed up in the following theorem.
    Если мы используем результат (7), то видим, что... - If we make use of the result (7) we see that...
    Еще один интересный результат - это... - One further result of interest is that...
    Еще одним следствием этих результатов является то, что... - One further consequence of these results is that...
    За исключение последнего, все эти результаты немедленно вытекают из того факта, что... - All these results except the last follow immediately from the fact that...
    Значение этого последнего результата состоит в том, что... - The significance of this last result is that...
    Значительно лучший результат мог быть получен, если использовать... - A much better result would have been obtained using...
    Из... можно вывести много полезных результатов. - Many useful results may be deduced from...
    Из вышеуказанного утверждения следует дополнительный результат. - The above argument gives us the following additional result.
    Из предыдущих результатов вытекает, что... - It follows from the foregoing results that...
    Из процитированных выше результатов следует, что... - From the results quoted above it follows that...
    Из результатов последнего параграфа становится ясно, что... - It is apparent from the last section that...
    Из результатов экспериментов Смит [1] заключил, что... - From the results of experiments, Smith [1] concluded that...
    Из этих результатов вытекает, что... - These results imply that...
    Используя результат (10), мы видим, что... - Making use of the result (10) we see that...
    Используя этот результат... - With this result we can...
    Используя этот результат, мы можем заключить... - With the help of this result we can deduce...
    Исследование, продолжающееся два десятилетия, принесло удивительно немного результатов относительно... - Research spanning two decades has yielded surprisingly few results on...
    Исходя из этих результатов, можно сконструировать... - Prom these results it is possible to construct...
    Как мы можем понимать этот результат? - How can we understand this result?
    Как мы уже видели, те же самые результаты предсказываются для... - As we have seen, the same results are predicted for...
    Как побочный результат теоремы 4... - As a by-product of Theorem 4, we also obtain the convergence of...
    Как приложение данного результата, мы покажем, что... -As an application of this result, we show that...
    Как это показано ниже, этот результат можно также вывести непосредственно. - This result may also be derived directly as follows.
    Количественный анализ этих результатов показывает, что... - A quantitative analysis of these results shows that...
    Методом математической индукции этот результат может быть распространен на... - This result can be extended, by mathematical induction, to...
    Многие идеи и результаты последней главы могут быть распространены на случай... - Many of the ideas and results of the last chapter can now be extended to the case of...
    Многие из наших более ранних результатов могут быть лучше поняты, если... - Many of ounearlier results can be better understood if...
    Можно было бы интерпретировать, что эти результаты означают, что... - These results might be interpreted to mean that...
    Можно понять эти результаты, рассматривая... - One can understand these results by considering...
    Мы используем этот результат, чтобы... - We shall apply this result to...
    Мы могли бы взглянуть на данный результат с другой точки зрения. - We may look at this result in another way.
    Мы могли бы подытожить эти результаты утверждением, что... - We may summarize these results with the statement that...
    Мы могли бы получить этот же результат более просто, заметив, что... - We could have obtained this result more easily by noting that...
    Мы могли бы получить этот результат другим способом. - We could obtain this result by a different argument.
    Мы можем использовать этот результат, чтобы определить (= ввести)... - We can use this result to define...
    Мы можем подытожить предыдущие результаты в простых терминах, замечая, что... - We can summarize the preceding results in simpler terms by noting that...
    Мы можем получить данный результат следующим образом. - We can obtain the result as follows.
    Мы можем применить некоторые результаты этой главы, чтобы проиллюстрировать... - We may apply some of the results of this chapter to illustrate...
    Мы можем сформулировать этот результат в виде теоремы. - We can state the result as a theorem.
    Мы не можем ожидать выполнения этого результата в случае... - This result cannot be expected to hold for...
    Мы применим наши результаты к одному простому случаю. - We shall apply our results to a simple case.
    Мы только что доказали следующий результат. - We have proved the following result.
    Мы хотим взглянуть на этот результат с несколько иной точки зрения. - We want to look at this result from a slightly different, point of view.
    На основе данных результатов давайте теперь оценим... - On the basis of these results, let us now estimate...
    Наиболее важными результатами являются результаты, касающиеся (= связанные с)... - The most important results are those concerning...
    Наилучший результат получается, когда/ если... - The best result is obtained when...
    Наш основной результат будет заключаться в том, что... - Our main result will be that...
    Наш следующий результат демонстрирует, что... - Our next result demonstrates that...
    Наши первые результаты описывают соотношения между... - Our first results deal with the relations between...
    Наши результаты пересекаются с результатами Смита [1], который... - Our results overlap those of Smith [1], who...
    Наши результаты предпочтительны по сравнению с результатами Смита [1]. - Our results compare favorably with those of Smith [1].
    Немедленным следствием предыдущего результата является тот факт, что... - An immediate corollary of the above result is the fact that...
    Несколько более простой результат получается, если мы... - A somewhat simpler result is obtained if we...
    Несомненно, данные результаты не зависят от... - These results are of course independent of...
    Нижеследующее является обобщением результата, доказанного Смитом [1]. - The following is a generalization of a result proved by Smith [1].
    Объединяя эти результаты, мы видим, что... - On combining these results we see that...
    Обычно это происходит в результате... - This usually occurs as a result of...
    Однако имеются другие результаты, которые... - There are other results, however, which...
    Однако окончательные результаты теории не могут зависеть от... - But the final results of the theory must not depend on...
    Однако подобные усилия приносят положительный результат, только если... - Such efforts, however, are successful only if...
    Однако у этого результата имеется другое приложение. - However, this result has another application.
    Однако этот результат действительно предполагает, что... - The result does assume, however, that...
    Одним интересным свойством этих результатов является то, что они указывают... - One interesting feature of these results is that they indicate...
    Очевидно, данный результат мог бы быть получен, не используя... - Obviously this result could have been obtained without the use of...
    Очевидно, что подобный результат справедлив (и) для... - Obviously a similar result is true for...
    Очевидно, что эти результаты выполняются для любого... - These results clearly hold for any...
    Очевидной интерпретацией данного результата является... - The straightforward interpretation of this result is...
    Перед тем как установить только что упомянутые результаты, необходимо (рассмотреть и т. п.)... - Before establishing the results just mentioned it is necessary to...
    По результатам этого и подобных экспериментов обнаружено, что... - From this and similar experiments it is found that...
    Подобные результаты убедительно доказывают, что... - Such results conclusively prove that...
    В некотором роде подобный результат выполняется для... - A somewhat similar result holds for...
    Полученные результаты должны быть таковы, чтобы их можно было сравнить с... - The results obtained should be capable of comparison with...
    Помимо прочего, данный результат показывает, что... - Among other things, this result shows that...
    Помня об этом результате, давайте проверим... - With this result in mind, let us examine...
    Поучительно рассмотреть эти результаты с точки зрения... - It is instructive to consider these results from the standpoint of...
    Предыдущие результаты были получены в рамках предположения... - The above results have been obtained under the assumption of...
    Предыдущие результаты еще раз иллюстрируют... - The above results once more illustrate...
    Предыдущие результаты можно подытожить следующим образом. - The above results may be summarized as follows.
    Приведенная выше теория не предсказывает хорошо известный результат, что... - The theory given above does not predict the well-known result that...
    Простой иллюстрацией для этого результата является его приложение к... - A simple illustration of this result is its application to...
    Результат может быть найден (с помощью и т. п.)... - The output can be found by...
    Результат показан ниже. - The result is recorded below.
    Результат, представленный формулой (9), очень полезен при выводе свойств (чего-л). - The result (9) is very useful for deducing properties of...
    Результат, справедливость которого может быть проверена (самим) читателем, формулируется следующим образом. - The result, which may be verified by the reader, is...
    Результатом является представление... - The result is a representation of...
    Результаты были получены непосредственным наблюдением... - The results are obtained by direct observation of...
    Результаты были разочаровывающими, в основном потому... - The results have been disappointing, mainly because...
    Результаты всех этих методов согласуются с... - The results of all these methods are consistent with...
    Результаты данной главы позволяют нам... - The results of the present chapter enable us to...
    Результаты согласуются с пониманием, что... - The results are consistent with the view that...
    Следующий очень важный результат является основой для... - The following very important result is the basis for...
    Соответствующий результат справедлив (и) для... - A corresponding result holds for...
    Справедливость того же результата можно увидеть геометрически. - The same result can be seen geometrically.
    Сравнение с точным результатом (2) показывает, что... - A comparison with the exact result (2) shows that...
    Считается хорошей практикой выражать все результаты измерений в метрической системе. - It is considered good practice to express all measurements in metric units.
    Таким образом, данный результат доказан. - The result is therefore established.
    Таким образом, мы можем обобщить результаты из первого параграфа и сообщить, что... - Thus, we can generalize the results of Section 1 and state that...
    Таким образом, получен следующий основной (= центральный) результат... - The following key results are therefore obtained:...
    Такого же самого типа рассуждения доказывают следующий результат. - Arguments of the same type prove the following result.
    Такой результат более предпочтителен (другому результату). - The outcome is certainly preferable to...
    Твердо установленным результатом является, что... - It is a well-established result that...
    Тем не менее эта формальная работа привела к конкретному результату. - Nevertheless, this formal work has produced a concrete result.
    Теперь мы доказываем два фундаментальных результата. - We now prove two fundamental results.
    Теперь мы доказываем один фундаментальный результат. - We now prove a fundamental result.
    Теперь мы можем сформулировать следующий результат. - We are now in a position to state the following result.
    Теперь мы получаем желаемый результат. - We now have the desired result.
    Теперь мы собрали воедино основные определения и результаты (исследования и т. п.)... - We have now assembled the main definitions and results of...
    Тот же самый результат может быть получен простым (вычислением и т. п.)... - The same result may be obtained by simply...
    Тот же самый результат может быть сформулирован в другой форме. - The same result can be put in a different form.
    Тот же самый результат можно вывести из... - The same result may be deduced from...
    Физический смысл этого результата состоит в том, что... - The physical significance of this result is that...
    Формально этот результат выглядит весьма похожим на... - Formally, the result looks somewhat similar to...
    Численные результаты, основанные на соотношении (4), показывают, что... - Numerical computations based on (4) show that...
    Читатель мог бы сравнить этот результат с выражением (6). - The reader may compare this result with the expression (6).
    Читатель найдет этот результат в любом учебнике... - The reader will find this result in any textbook on...
    Чтобы объяснить получившийся результат, мы могли бы предположить, что... - То explain the above result, we could suppose that...
    Чтобы получить необходимый результат, мы... - То obtain the required result, let...
    Чтобы получить практический результат в подобных случаях, мы... - То obtain a practical result in such cases, we...
    Эти два результата имеют существенный интерес. - These two results are of considerable interest.
    Эти два результата совместно показывают, что... - These two results together show that...
    Эти кажущиеся тривиальными результаты приводят к... - These seemingly trivial results lead to...
    Эти результаты имели важные далеко ведущие последствия. - The results were of far reaching importance.
    Эти результаты могут быть легко описаны в терминах... - These results can easily be described in terms of...
    Эти результаты можно использовать, чтобы установить... - These results can be used to establish...
    Эти результаты можно очевидным образом обобщить (на случай и т. п.)... - These results can be extended in an obvious way to...
    Эти результаты не изменятся, если мы... - These results are not affected if we...
    Эти результаты представлены на рис. 3 и 4. - The results are displayed in Figures 3 and 4.
    Эти результаты согласуются с предположением, что... - These results are consistent with the assumption that...
    Эти результаты также поддержали точку зрения, что... - The results also lend support to the view that...
    Эти результаты теперь могут быть уточнены для случая... - These results can now be specialized to the case of...
    Эти результаты часто бывают необходимы. - These results are needed frequently.
    Эти результаты являются следствием... - These results are a consequence of...
    Эти результаты ясно показывают, что... - These results clearly show that...
    Эти результаты в основном согласуются с... - These results are broadly consistent with...
    Это важный результат. Он утверждает, что... - This is an important result. It says that...
    Это и есть тот самый предсказанный результат. - This is precisely the expected result.
    Это интересный результат. - This is an interesting result.
    Это интересный результат, так как... - This is an interesting result because...
    Это контрастирует с соответствующим результатом для... - This contrasts with the corresponding result for...
    Это очень важный результат. Он означает, что... - This is a very important result. It means that...
    Это подтверждается приведенными результатами. - This is confirmed by the results shown.
    Это результат важен для практики, так как... - The result is important in practical terms since...
    Это согласуется с нашим предыдущим результатом. - This is in agreement with our previous result.
    Это хорошо подтверждается результатами... - This is strongly supported by the results of...
    Это устанавливает данный результат. - This establishes the result.
    Это чрезвычайно важный результат, поскольку он позволяет нам... - This is an exceedingly important result, as it enables us to...
    Это ясно показано на рис. 1, который представляет результаты (чего-л). - This is clearly demonstrated in Figure 1 which shows the results of...
    Этот неверный результат получается вследствие... - This incorrect result is due to...
    Этот результат более или менее ожидаем, если исходить из того факта, что... - This result is more or less to be expected from the fact that...
    Этот результат был сформулирован довольно неопределенно (= неточно), потому что... - This result has been stated rather vaguely because...
    Этот результат было необходимо ожидать, исходя из факта, что... - This result was to be expected from the fact that...
    Этот результат вытекает из изучения... - This result follows from a study of...
    Этот результат заслуживает более пристального рассмотрения. - This result is worth a more careful look.
    Этот результат имеет поразительное сходство с... -. This result bears a striking resemblance to...
    Этот результат легко установить. - It is easy to establish this result.
    Этот результат легче запомнить... - This result is more easily remembered by...
    Этот результат мог бы быть выведен прямо из соотношения (6). - This result could have been deduced directly from (6).
    Этот результат мог бы нам позволить... - This result may allow us to...
    Этот результат можно было бы получить более легко, увидев, что... - This result could have been obtained more easily by recognizing that...
    Этот результат можно использовать без опасений, только если... - It is safe to use this result only if...
    Этот результат можно сделать более наглядным с помощью... - The result can be made more explicit by...
    Этот результат не зависит ни от каких предположений относительно... - This result is independent of any assumption about...
    Этот результат не слишком изменяется, если... - The result is not essentially different if...
    Этот результат не является простым, потому что... - The result is not simple because...
    Этот результат перестает быть верным, если... - This result no longer holds if...
    Этот результат подтверждает интуитивное понимание того, что... - This result confirms the intuitive view that...
    Этот результат полезен лишь тогда, когда... - This result is useful only when...
    Этот результат поражает тем, что... - The striking thing about this result is that...
    Этот результат предлагает естественное обобщение... - This result suggests a natural generalization of...
    Этот результат совпадает с полученным с помощью уравнения (4). - The result is exactly the same as that given by equation (4).
    Этот результат согласуется с тем фактом, что... - This result is in agreement with the fact that...
    Этот результат также можно было бы получить, применяя... - This result may also be obtained by means of...
    Этот результат является более или менее ожидаемым, однако исходя из того, что... - This result is more or less to be expected, however, from the fact that...

    Русско-английский словарь научного общения > результат

  • 7 решение

    solution, decision, determination
    Альтернативное решение, данное Смитом [1], состоит в следующем... - An alternative solution given by Smith [lj is...
    Более стандартным (= обычным) является представление решения в терминах... - It is more usual to express the solution in terms of...
    Более удобные формы решения были получены Смитом [1]. - More convenient forms of solution have been obtained by Smith [1].
    Более удовлетворительное в этом отношении решение получается... - A more satisfactory solution in this regard is obtained by...
    Будем искать решение в виде... - Let us seek a solution of the form...
    В подобных случаях можно использовать приближенное решение. - In such cases, approximate solutions may be used.
    В этом случае наше решение более не является точным, потому что... - Our solution is no longer exact in this case, because...
    Давайте использовать это решение, чтобы получить... - Let us use this solution to obtain...
    Данное решение противоречит физическому смыслу в том, что... - A nonphysical aspect of this solution is that...
    Данные результаты могут быть использованы для проверки численного решения. - These results provide a useful check on numerical solutions.
    Для этой дилеммы не существует настоящего решения. - There is no real solution to this dilemma.
    Другой способ решения задачи начинается с уравнения... - Another attack on the problem starts from the equation...
    Еще более общие решения могли бы быть сконструированы (с помощью и т. п.)... - Still more general solutions may be constructed by...
    Здесь рассматривается общий метод получения этих решений. - A general method of obtaining these solutions is considered here.
    Имеются три способа решения такой задачи. - There are three ways of attacking such a problem.
    Итак, мы могли бы попытаться найти решение уравнения (1)... - Thus we may attempt to find a solution of (1) by...
    Качественное поведение решения легко представить графически, если... - The nature of the solution is easily pictured if we...
    Мы будем использовать это решение, чтобы построить... - We shall use this solution to construct...
    Мы ввели широкий спектр методов для решения... - We have introduced a wide range of procedures for solving...
    На интервале [0,1] имеется ровно одно решение х. - There is exactly one solution x in the interval [0,1].
    На самом деле данная проблема заключается в решении... - The problem is really one of solving...
    Наиболее элементарным способом решения уравнения (1) является... - The most elementary approach to the solution of (1) is...
    Нам необходимо определить решение... - We need to determine the solution of...
    Общее решение здесь невозможно, так как... - No general resolution is possible, since...
    Обоснованием для этой схемы решения служит то, что... - The justification for this solution scheme is that...
    Однако решения все еще могут быть получены, обращаясь к чисто численным методам. - Solutions can still be obtained, however, by resorting to purely numerical methods.
    Одно такое решение дается (формулой и т. п.)... - One such solution is given by...
    Окончательное решение является компромиссом между... - The final solution is a compromise between...
    Она (задача) будет иметь решение тогда и только тогда, когда... - This will have a solution if and only if...
    Очевидно, что эти решения не так ценны, как... - Clearly these solutions are not as valuable as...
    Перед тем как упростить данное решение, давайте проверим... - Before simplifying this solution, let us examine...
    Под решением этой задачи мы понимаем... - By solving this problem we mean that...
    Подобные решения наиболее полезны для вычисления... - Such solutions are most useful for calculating...
    Полное решение дается... - The full solution is given by...
    Получим теперь решение... - We shall now derive a solution of...
    Поучительно провести детальное решение... - It is instructive to carry out in detail the solution of...
    Прежде чем приступить к решению уравнения (3), мы сначала обсудим... - Preparatory to solving Eq. (3), we will first discuss...
    При а < 0 у уравнения (1) решение не существует. - Equation (1) has no solution for a < 0.
    При решении данной задачи валено отметить, что... - In solving this problem it is important to notice that...
    Приближенное решение получается... - The approximate solution is obtained by...
    Проблема... до сих пор не имеет удовлетворительного решения. - The problem of... has not yet been solved satisfactorily.
    Процесс решения усложняется наличием... - The solution process is complicated by the presence of...
    Решение может существовать только при выполнении следующих условий. - A solution can exist only under the following conditions.
    Решение не существует при р > 0. - A solution does not exist when p > 0.
    Решение подобной проблемы легко выводится из рассмотрения... - The solution to such a problem is readily deduced by considering...
    Решение этой дилеммы было предложено Смитом [1] в 1980 г. - A way out of this dilemma was proposed in 1980 by Smith [1].
    Решения этих уравнений можно получить графически (с помощью и т. п.)... - Solutions to these equations can be obtained graphically by...
    Решения этого уравнения называются... - Solutions to this equation are called...
    Решения этой задачи легко вытекают из... - Solutions of this problem follow readily from...
    Следовательно, мы обязаны изучить решения (уравнения и т. п.)... - We must therefore study solutions to...
    Следовательно, необходимое решение принимает вид:... - The required solution is therefore...
    Следовательно, полное решение имеет вид... - The complete solution is therefore...
    Следовательно, у нас получилось формальное решение для... - We therefore have a formal solution for...
    Следующий пример демонстрирует этот тип решения. - The next example demonstrates this type of solution.
    Существует много способов решения данной задачи. - There are many ways to solve this problem.
    Существуют разные пути решения этой задачи. - There are various ways of tackling this problem.
    Теперь у нас имеется полное решение для... - We now have a complete solution for...
    То, что данное решение является единственным, следует из... - That this solution is unique follows from...
    Точное решение возможно только если... - An exact solution is only possible if...
    Точные решения уравнения (1) могут быть получены в терминах известных функций, когда... - Exact solutions to (1) can be obtained in terms of known functions when...
    Чтобы завершить это решение, мы должны... - То complete the solution, we must...
    Эта глава представляет один подход к решению... - This chapter presents one approach to the solution of...
    Эта техника обеспечивает рациональный базис, на основе которого инженеры могут принимать решение относительно... - The technique provides a rational basis on which engineers can make decisions about...
    Эти уравнения имеют нетривиальное решение, только если... - These equations have a nontrivial solution only if...
    Эти уравнения редко имеют аналитические решения. - Analytical solutions to these equations are seldom possible.
    Это не будет точным решением, так как... - This will not be an exact solution since...
    Это решение можно получить наиболее просто, используя... - The solution is most readily obtained by the use of...
    Это решение основано на предположении, что... - This solution is based on the assumption that...
    Это решение основывается на предположении, что... - This solution is based on the assumption that...
    Это решение приложимо только если... - This solution applies strictly only when...
    Это уравнение имеет одно и только одно решение. - This equation has one and only one solution.
    Этот фундаментальный подход полезен при решении... - This fundamental approach is useful in solving...

    Русско-английский словарь научного общения > решение

  • 8 БИБЛИОГРАФИЯ

    Мы приняли следующие сокращения для наиболее часто упоминаемых книг и журналов:
    IJP - International Journal of Psycho-analysis
    JAPA - Journal of the American Psychoanalytic Association
    SE - Standard Edition of the Complete Psychological Works of Sigmund Freud, ed. James Strachey (London: Hogarth Press and the Institute of Psycho-Analysis, 1953—74.)
    PSOC - Psychoanalytic Study of the Child (New Haven: Yale University Press)
    PQ - Psychoanalytic Quarterly
    WAF - The Writings of Anna Freud, ed. Anna Freud (New York: International Universities Press, 1966—74)
    PMC - Psychoanalysis The Major Concepts ed. Burness E. Moore and Bernard D. Fine (New Haven: Yale University Press)
    \
    О словаре: _about - Psychoanalytic Terms and Concepts
    \
    1. Abend, S. M. Identity. PMC. Forthcoming.
    2. Abend, S. M. (1974) Problems of identity. PQ, 43.
    3. Abend, S. M., Porder, M. S. & Willick, M. S. (1983) Borderline Patients. New York: Int. Univ. Press.
    4. Abraham, K. (1916) The first pregenital stage of libido. Selected Papers. London, Hogarth Press, 1948.
    5. Abraham, K. (1917) Ejaculatio praecox. In: selected Papers. New York Basic Books.
    6. Abraham, K. (1921) Contributions to the theory of the anal character. Selected Papers. New York: Basic Books, 1953.
    7. Abraham, K. (1924) A Short study of the development of the libido, viewed in the light of mental disorders. In: Selected Papers. London: Hogarth Press, 1927.
    8. Abraham, K. (1924) Manic-depressive states and the pre-genital levels of the libido. In: Selected Papers. London: Hogarth Press, 1949.
    9. Abraham, K. (1924) Selected Papers. London: Hogarth Press, 1948.
    10. Abraham, K. (1924) The influence of oral erotism on character formation. Ibid.
    11. Abraham, K. (1925) The history of an impostor in the light of psychoanalytic knowledge. In: Clinical Papers and Essays on Psychoanalysis. New York: Basic Books, 1955, vol. 2.
    12. Abrams, S. (1971) The psychoanalytic unconsciousness. In: The Unconscious Today, ed. M. Kanzer. New York: Int. Univ. Press.
    13. Abrams, S. (1981) Insight. PSOC, 36.
    14. Abse, D W. (1985) The depressive character In Depressive States and their Treatment, ed. V. Volkan New York: Jason Aronson.
    15. Abse, D. W. (1985) Hysteria and Related Mental Disorders. Bristol: John Wright.
    16. Ackner, B. (1954) Depersonalization. J. Ment. Sci., 100.
    17. Adler, A. (1924) Individual Psychology. New York: Harcourt, Brace.
    18. Akhtar, S. (1984) The syndrome of identity diffusion. Amer. J. Psychiat., 141.
    19. Alexander, F. (1950) Psychosomatic Medicine. New York: Norton.
    20. Allen, D. W. (1974) The Feat- of Looking. Charlottesvill, Va: Univ. Press of Virginia.
    21. Allen, D. W. (1980) Psychoanalytic treatment of the exhibitionist. In: Exhibitionist, Description, Assessment, and Treatment, ed. D. Cox. New York: Garland STPM Press.
    22. Allport, G. (1937) Personality. New York: Henry Holt.
    23. Almansi, R. J. (1960) The face-breast equation. JAPA, 6.
    24. Almansi, R. J. (1979) Scopophilia and object loss. PQ, 47.
    25. Altman, L. Z. (1969) The Dream in Psychoanalysis. New York: Int. Univ. Press.
    26. Altman, L. Z. (1977) Some vicissitudes of love. JAPA, 25.
    27. American Psychiatric Association. (1987) Diagnostic and Statistical Manual of Mental Disorders, 3d ed. revised. Washington, D. C.
    28. Ansbacher, Z. & Ansbacher, R. (1956) The Individual Psychology of Alfred Adler. New York: Basic Books.
    29. Anthony, E. J. (1981) Shame, guilt, and the feminine self in psychoanalysis. In: Object and Self, ed. S. Tuttman, C. Kaye & M. Zimmerman. New York: Int. Univ. Press.
    30. Arlow. J. A. (1953) Masturbation and symptom formation. JAPA, 1.
    31. Arlow. J. A. (1959) The structure of the deja vu experience. JAPA, 7.
    32. Arlow. J. A. (1961) Ego psychology and the study of mythology. JAPA, 9.
    33. Arlow. J. A. (1963) Conflict, regression and symptom formation. IJP, 44.
    34. Arlow. J. A. (1966) Depersonalization and derealization. In: Psychoanalysis: A General Psychology, ed. R. M. Loewenstein, L. M. Newman, M. Schur & A. J. Solnit. New York: Int. Univ. Press.
    35. Arlow. J. A. (1969) Fantasy, memory and reality testing. PQ, 38.
    36. Arlow. J. A. (1969) Unconscious fantasy and disturbances of mental experience. PQ, 38.
    37. Arlow. J. A. (1970) The psychopathology of the psychoses. IJP, 51.
    38. Arlow. J. A. (1975) The structural hypothesis. PQ, 44.
    39. Arlow. J. A. (1977) Affects and the psychoanalytic situation. IJP, 58.
    40. Arlow. J. A. (1979) Metaphor and the psychoanalytic situation. PQ, 48.
    41. Arlow. J. A. (1979) The genesis of interpretation. JAPA, 27 (suppl.).
    42. Arlow. J. A. (1982) Problems of the superego concept. PSOC, 37.
    43. Arlow. J. A. (1984) Disturbances of the sense of time. PQ, 53.
    44. Arlow. J. A. (1985) Some technical problems of countertransference. PQ, 54.
    45. Arlow, J. A. & Brenner, C. (1963) Psychoanalytic Concepts and the Structural Theory, New York: Int. Univ. Press.
    46. Arlow, J. A. & Brenner, C. (1969) The psychopathology of the psychoses. IJP, 50.
    47. Asch, S. S. (1966) Depression. PSOC, 21.
    48. Asch, S. S. (1976) Varieties of negative therapeutic reactions and problems of technique. JAPA, 24.
    49. Atkins, N. (1970) The Oedipus myth. Adolescence, and the succession of generations. JAPA, 18.
    50. Atkinson, J. W. & Birch, D. (1970) The Dynamics of Action. New York: Wiley.
    51. Bachrach, H. M. & Leaff, L. A. (1978) Analyzability. JAPA, 26.
    52. Bacon, C. (1956) A developmental theory of female homosexuality. In: Perversions,ed, S. Lorand & M. Balint. New York: Gramercy.
    53. Bak, R. C. (1953) Fetishism. JAPA. 1.
    54. Bak, R. C. (1968) The phallic woman. PSOC, 23.
    55. Bak, R. C. & Stewart, W. A. (1974) Fetishism, transvestism, and voyeurism. An American Handbook of Psychiatry, ed. S. Arieti. New York: Basic Books, vol. 3.
    56. Balint, A. (1949) Love for mother and mother-love. IJP, 30.
    57. Balter, L., Lothane, Z. & Spencer, J. H. (1980) On the analyzing instrument, PQ, 49.
    58. Basch, M. F. (1973) Psychoanalysis and theory formation. Ann. Psychoanal., 1.
    59. Basch, M. F. (1976) The concept of affect. JAPA, 24.
    60. Basch, M. F. (1981) Selfobject disorders and psychoanalytic theory. JAPA, 29.
    61. Basch, M. F. (1983) Emphatic understanding. JAPA. 31.
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    830. Stone, M. H. (1980) Borderline Syndromes. New York: McGrow Hill.
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    843. Tyson, P. Development. PMC. Forthcoming.
    844. Tyson, P. (1982) A developmental line of gender identity, gender role, and choice of love object. JAPA, 30.
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    846. Tyson, P. & Tyson, R. L. The psychoanalitic theory of development. PMC. Forthcoming.
    847. Tyson, P. & Tyson, R. L. (1984) Narcissism and superego development. JAPA, 34.
    848. Tyson, R. & Sundler, J. (1971) Problems in the selection of patients for psychoanalysis. Brit. J. Med. Psychol., 44.
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    875. Wiedeman, G. (1962) Survey of psychoanalytic literature on overt male homosexuality. JAPA, 10.
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    Словарь психоаналитических терминов и понятий > БИБЛИОГРАФИЯ

  • 9 использовать

    Advantage is taken of this fact in some turbojet engines.

    Unique processes and equipment have been successfully applied in the mining and refining of potash salts.

    The great majority of amplifiers are electronic and depend (or rely) upon transistors and chips for their operation.

    These projects can draw on the data from five tests.

    The new relay employs three sets of contacts.

    We shall follow this method.

    To harness atomic energy for peaceful uses,...

    This reaction may be harnessed to perform work.

    The power unit makes use of a standard electric starter.

    These vehicles rely on ambient air as a source of oxygen.

    At present, these laboratories are being utilized to test timbers.

    Such high precision makes it possible to employ (or use, or utilize) laser radiation as a primary standard of length and time.

    With electricity farmers could run useful devices of all kinds.

    These techniques take advantage of the laser's high spectral intensity.

    Lasers are exploited to heat plasmas with short pulses of light.

    Double-break or multibreak devices can exploit this effect even at higher voltages.

    We make use of the generalized invariants.

    The author's suggestions were picked up by the Japanese who ran some preliminary tests on eleven pure elements.

    The steam from a dry field can be put to use() other than power production.

    We can draw on the equation of general relativity to calculate...

    The newest accelerators exploit the same fundamental principles as the first ones.

    Simplifying assumptions have been invoked to separate the two processes for individual study.

    If this natural gas can be tapped, there would be a tremendous source of fuel.

    II

    When all the even (or odd) integers are used up, there will still be half the series...

    Русско-английский научно-технический словарь переводчика > использовать

  • 10 использовать

    Advantage is taken of this fact in some turbojet engines.

    Unique processes and equipment have been successfully applied in the mining and refining of potash salts.

    The great majority of amplifiers are electronic and depend (or rely) upon transistors and chips for their operation.

    These projects can draw on the data from five tests.

    The new relay employs three sets of contacts.

    We shall follow this method.

    To harness atomic energy for peaceful uses,...

    This reaction may be harnessed to perform work.

    The power unit makes use of a standard electric starter.

    These vehicles rely on ambient air as a source of oxygen.

    At present, these laboratories are being utilized to test timbers.

    Such high precision makes it possible to employ (or use, or utilize) laser radiation as a primary standard of length and time.

    With electricity farmers could run useful devices of all kinds.

    These techniques take advantage of the laser's high spectral intensity.

    Lasers are exploited to heat plasmas with short pulses of light.

    Double-break or multibreak devices can exploit this effect even at higher voltages.

    We make use of the generalized invariants.

    The author's suggestions were picked up by the Japanese who ran some preliminary tests on eleven pure elements.

    The steam from a dry field can be put to use() other than power production.

    We can draw on the equation of general relativity to calculate...

    The newest accelerators exploit the same fundamental principles as the first ones.

    Simplifying assumptions have been invoked to separate the two processes for individual study.

    If this natural gas can be tapped, there would be a tremendous source of fuel.

    II

    When all the even (or odd) integers are used up, there will still be half the series...

    * * *
    Использовать -- to use, to utilize, to apply, to employ, to exploit; to make use of; to draw on (с оттенком заимствования); to rely on (полагаться на)
     Under these circumstances, we can employ the data from this experiment to establish limits for heat fluxes.
     These diffusers exploit the centrifugal forces acting on a swirling throughflow to enhance mixing and combustion.
     Each engine will be provided with a control unit which makes use of modern electronic techniques (... в котором используется...).
     Two independent methods were applied to eliminate any possible error in fringe order determination.
     The work of L. [...] was drawn on for the design of turbine blades.
     However, the theoretical magnitude is far from correct and we must rely on experimental values for the coefficient C.

    Русско-английский научно-технический словарь переводчика > использовать

  • 11 соотношение соотношени·е

    1) (пропорция) ration, proportion
    2) (взаимоотношение, взаимозависимость) correlation, relation, relationship, alignment

    количественные соотношения — quantitative correlations, proportions

    соотношение валютных курсов — exchange rate relationship, parity

    соотношение сил — balance / correlation of forces; (распределение власти) distribution of power; (на рынке) power relations

    коренные изменения в соотношении сил — fundamental change in the alignment / correlation of forces

    Russian-english dctionary of diplomacy > соотношение соотношени·е

  • 12 самый прямой путь

    Самый прямой путь-- Clearly the most direct approach would be to mathematically model each mechanism based on the best available fundamental research, and then to combine them all into a comprehensive equation.

    Русско-английский научно-технический словарь переводчика > самый прямой путь

  • 13 Неопределенные артикли при определении классов объектов, т.е. в тех случаях, когда существует много объектов с заданной характеристикой

    A fundamental solution is a function satisfying the above equality
    We call $E$ a module of ellipticity
    We try to find a solution to equation (1) which is of the form...

    Русско-английский словарь по прикладной математике и механике > Неопределенные артикли при определении классов объектов, т.е. в тех случаях, когда существует много объектов с заданной характеристикой

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