| English | Russian |
| a number a = 0 is said to be normalized in е > 0 if | нормализованный по числу е > 0 |
| A selection of practical methods is placed in Table 1 | некоторые из практически используемых методов представлены в таблице 1 |
| additional relations for the new functions are established from the series representations in | дополнительные соотношения (4.1) |
| all actual systems in motion are subject to some dissipation of energy | все реальные движущиеся системы подвержены некоторой диссипации энергии |
| 1. All mathematicians are antisocial. 2. There were some engineers and mathematicians in a | все математики |
| all other feasible mechanisms are in conflict with the experimental evidence | все остальные возможные механизмы поведения противоречат экспериментальным данным |
| all terms not linear in the small quantities are deleted | опускать |
| all terms not linear in the small quantities are deleted | вычёркивать |
| all the necessary formulas for numerical calculations are given in full | все формулы, необходимые для численных расчётов, даны полностью |
| Angles are measured in degrees or in radians | углы измеряются в градусах или радианах |
| are combined in | объединены в (into) |
| are equal in value | равны по величине |
| are equal in value but opposite in sign | равны по величине и противоположны по знаку |
| having introduced the Bruhat building, we are in a position | находиться в ситуации, когда (to explore the relationship between ...) |
| having introduced the Bruhat building, we are in a position to explore | подойти к моменту (the relationship between (...)) |
| are limited in number | число чего-либо ограничено |
| are listed in Table 1 | перечисленные в Таблице 1 |
| are outlined in Table 1 | перечисленные в Таблице 1 |
| ... are shrinking in size | размеры ... уменьшаются |
| are similar in appearance | похожи друг на друга |
| they are similar in shape | сходны по форме |
| they are similar in shape | похожи |
| are we correct in assuming that | правильно ли предположить, что (...)?; ...) |
| as is shown in Fig. 1 | как показано на Рис. 1 |
| as is the case in section 1 | аналогично |
| be competitive with ... in ... | конкурировать с ... в ... (this engine is competitive with a turbojet in fuel consumption) |
| be different in that | отличаться тем, что |
| be distinctive in that | отличаться тем, что |
| be fully considered in Ch. 2 | подробно рассматриваться в Гл. 2 |
| be in the ratio 2:3 | находиться в соотношении 2:3 |
| be in the ration of 3:4 | быть в отношении 3 к 4 |
| be 2 meters in diameter | иметь 2 метра в диаметре |
| computers are being used a great deal in works on guided missiles | работы по работы, посвящённые ... |
| Data are entered in the proper sequence | данные заносятся в определённом порядке |
| Data are not in hand to | информация для ... отсутствует |
| Data processing was scheduled in late 1994 | обработка данных была запланирована на конец 1994 г. ... |
| difficulties are in store for him | ей предстоят трудности |
| early in the 1960s | в начале ... годов |
| elliptic partial differential equations are important tools for mathematical modelers in a wide variety of fields | инструментальное средство |
| even so, a layer of lava 1 km thick is required to produce the 250 m difference in depth | даже в этом случае |
| f x is perpendicular in L2 to g | функция f x перпендикулярна к g x в L2 (x) |
| for an assumed set of material constants the agreement seems to be satisfactory except along the free edges in the case of | соглашение кажется удовлетворительным за исключением области вдоль свободных концов |
| free falling bodies are the bodies in free fall | свободно падающий |
| further concepts from Riemannian geometry will be introduced in Ch.2 | остальные сведения из ... |
| hence, there are nine nonzeros per row in the resulting matrix | не нули |
| here h and т are the grid spacings in the x- and y-directions, respectively | шаг сетки по направлению |
| homology is discussed further in Ch.2 | обсуждается далее в главе 2 |
| I hope that it will be possible for you to help us in reviewing the article | помочь нам отреферировать статью |
| if energy changes are followed backward in the past, it becomes apparent that | прослеживать назад в прошлое |
| in a scattering medium, light that has already been scattered once is scattered again | один раз |
| in Fig.1 is shown | на рисунке показан |
| in is not possible to extend Abel's theorem to paths which are tangent to the unit circle | распространить теорему на |
| in order of importance they are | по порядку важности это |
| in order to ensure that plastic work is always positive | чтобы гарантировать, что работа пластических деформаций всегда положительна (, the function F must have the same sign as the shear stress t) |
| in order to establish the laws governing the variation in these parameters, physical investigations of a thermodynamic nature are needed | установить законы |
| in passing it should be mentioned that | между прочим следует упомянуть, что |
| in such an event, the variables are said to be separable | Тогда говорят, что переменные разделяются |
| in the case of linear convergence, in each step the error is multiplied by an almost constant convergence factor whose absolute value is less than 1 | множитель сходимости |
| in the early 1940s | в начале ... годов |
| in the early 1960s the size and types of problems were limited both by the capacity of early computers and by the lack of algorithm technology for their solving | ограничивались отсутствием алгоритмов их решения |
| in the last few years considerable progress has been made towards that goal | достигнуты значительные успехи в этом направлении |
| in the late 1960s | в конце 1960-х |
| in the mid and late 1960's | в середине и конце ... годов |
| in the middle 90s | в середине 90-х годов |
| in the sense of how waves are reflected in the fluid | в том смысле как |
| in this direction there are the following results | в данном направлении имеются следующие результаты |
| in this section the following assumptions are made: | в данном параграфе делаются следующие предположения: |
| in this setting there is a weakening in the guarantee that an approximation is within \epsilon of the true value | слабость гарантии |
| Interest in this waned in the late 1970s | ослабнуть |
| is plotted in Fig. 1 | показан на графике 1 |
| is unique in that | единственный в своём роде |
| it is not the rule in mechanics but the exclusion | не правило, а исключение |
| large numbers of students are involved in | многие из студентов занимаются |
| let M be as in Lemma 2 | пусть М имеет такие же свойства, как и в Лемме 2 |
| let M be as in Lemma 2 | пусть М выбрана такой же как и в лемме 2 |
| likewise, P x, k is a polynomial in k of degree 3 and of the same form as | аналогично, P x, k есть полином по переменной k третьей степени |
| many of the quantities to be measured in the upper atmosphere are highly variable in time and space | величины |
| much research activity in the past last 30 years has been directed at improving numerical methods | в последние ... лет годы |
| now we are in position to describe | теперь мы в состоянии описать (now we are in position to describe the monodromy of the spherical pendulum) |
| now we are in position to describe the monodromy of ... | теперь мы в состоянии описать монодромию ... (now we are in position to describe the monodromy of the spherical pendulum) |
| numerical simulations that illustrate these results are presented in Sect. 3 | численное моделирование |
| Pearls are weighed in grains | Вес жемчуга измеряется в гранах |
| periodic boundary conditions are also allowed in the rectangular case | допускать |
| putting these functions in 1 yields the requirement that the equation be satisfied exactly at the collocation points | точка коллокации |
| relationships involving thermodynamics are discussed in Ch.2 | соотношения, относящиеся к термодинамическим аспектам, обсуждаются во второй главе |
| research work and experimental investigations studies are constantly in progression to find | постоянно проводятся исследования |
| several examples are given in 2 | несколько примеров |
| similarity of triangles means that the three angles in one triangle are equal to the three angles of another triangle and, as a consequence, the corresponding sides are in the same ratio | подобие треугольников |
| some materials are important in themselves | само по себе |
| some surprises are in store in | нас ожидают сюрпризы в области |
| some values of ... are listed in Table 3 | некоторые из значений ... приводятся в таблице 3 |
| some values of L taken relative to R are presented in the table | отнесённый к |
| strain gauges started to be used in the mid 1950s to early 1960s | начинать |
| strain gauges started глагол только в прошедшем времени to be used in the mid 1950s to early 1960s | с середины ... годов до начала ... годов |
| such systems are common in many fields of engineering | такие системы весьма распространены в инженерных приложениях |
| such systems are common in many fields of engineering | во многих областях инженерного дела |
| such systems are common in many fields of engineering | подобные системы являются весьма общими во многих инженерных областях |
| such systems are easily solved in practice by Newton's method | на практике подобные системы редко решаются методом Ньютона |
| suppose that the body is at rest in an undistorted configuration | неискажённая конфигурация |
| the basic point is that the initial equation can be approximated in the form | главная идея (2.4) |
| the best results were obtained in a range up to 15 nautical miles | в диапазоне |
| the case when the source and the observer are in motion with respect to each other | относительно друг друга |
| the Chebyshev polynomials are orthogonal in the interval -1; 1 over a weight w x . it is easy to establish that these eigenfunctions are orthogonal with the weight p | ортогональны с весом (x, y) |
| the classical iterative methods for solving linear systems are based in writing the matrices as | основан на записи (на представлении) |
| the columns of the matrix A are stored in the columns of the doubly subscripted array B | помещать в память (компьютера) |
| the composites whose fibers are damaged have not yet been studied in detail | ещё не исследован |
| the country has been falling behind in research since 1930s | отставать в исследовании |
| the data are listed or shown, or given in Table | данные приведены в таблице (cgbspender) |
| the device in Fig. 1 is | показанное на рисунке 1 устройство |
| the electrons are accelerated in the direction transverse to their propagation | в поперечном направлении к |
| the energies required by the various studies of nuclei are in the 1 to 20 MeV range | в диапазоне |
| the entire job was accomplished in 3 days | работа завершилась за 3 дня |
| the entire job was accomplished in 3 days | вся работа завершилась за 3 дня |
| the estimating theorem which is described in Ch. 2 gives a partial answer to this problem | частичный ответ |
| the estimating theorem which is described in Ch. 2 gives a partial answer to this problem | даёт частичный ответ для этой проблемы |
| the expansion in a power series of perturbations that are multiples to | разложение по степеням, кратным |
| the fact that nonzeros are generated in the course of | в процессе |
| the first step was taken in 1993 | первый шаг в данном направлении был предпринят в 1993 г |
| the following inequalities are obtained bearing in mind | следующие неравенства получаются, принимая во внимание соотношение (2.2) |
| the foundation of this theory was laid in the 1930-1950s | в ... годы |
| the heart of these methods is the algorithm 2 and the a priori estimates in Theorem 2 | априорные оценки |
| the idea of estimation which is described in Ch. 2 gives a partial answer to this problem | описанная в Гл. 2 |
| the internal combustion engine differs from the steam engine in that the fuel is burned directly in the cylinder | в том, что |
| the key tool in the proof of Theorem 1 are asymptotic existence theorems which were proved in 4 | центральное орудие |
| the key tools in the proof of Theorem 1 are asymptotic existence theorems 3 | основным средством в доказательстве |
| the listings of the programs in fully are given in an appendix | тексты программ полностью даны в приложении |
| the loading parameters in 3 are assumed to be known | предполагаются известными |
| the main point is that the initial equation can be approximated in the form | главная идея (2.4) |
| the missile and the target are in relative motion to each other | двигаться относительно друг друга |
| the moduli obtained through this calculus are different from those calculated in 2 | модули, полученные посредством этих вычислений, отличаются от вычисленных в работе 2 |
| the moduli obtained through this calculus are different from those calculated in | величины модулей, полученных в данных вычислениях, отличаются от величин, посчитанных в ... |
| the no-slip rolling condition means that the velocity of a material point in contact with a surface is zero | условие качения без проскальзывания |
| the odds are 1 to 10 in favor of success | шансы (against success) |
| the order in which derivatives are taken indicates that | порядок, в котором берутся производные, указывает, что |
| the parameters of the system are all assumed to be constant in time and space | предполагается, что всё параметры данной системы являются постоянными по временной и пространственным переменным |
| the particles are sparsely distributed in vacuum | низкая концентрация частиц |
| the points 0 and 1 in 0,1 are not the centers of open intervals entirely contained in 0,1 | полностью содержащийся в |
| the points on any line can be paired with the real numbers in such a way that: | точки любой прямой могут быть поставлены в соответствие со множеством действительных чисел так, что выполнены следующие свойства: ... |
| the problem we are interested in is | интересующая нас задача |
| the problems of ... are covered in this chapter | изучаться в данной главе |
| the problems that arise in ... are numerous and varied | проблемы, возникающие в ... многочисленны и разнообразны |
| the purpose of the book is in part to discuss the validity of the upper bound work method in a form that can be appreciated by a practicing soil engineer | целью этой книги частично является обсуждение справедливости |
| the results are depicted in Fig. 2 | результаты представлены на Рис. 2 (Numerical simulations that illustrate these results are presented in Sect. 6.) |
| the results are depicted in Fig. 2 | результаты представлены на Рис. 2 |
| the results are set out in Table 1 for three values of r | результаты для трёх значений r приведены в Табл.1 |
| the results are set out in Table 1 for three values of r | приводить в таблице |
| the scalar dot, inner product is an O operation, which means that the amount of work arithmetic, computations is linear in the dimension | объём вычислений |
| the scalar dot, inner product is an On operation, which means that the amount of work arithmetic, computations is linear in the dimension | объём вычислений |
| the solution curves are expressible in an essentially closed form | в замкнутой форме |
| the strains are brought about in the construction during the hardening process | возникают деформации |
| the studies are now in progress | вести изучение |
| the substances which are accepted to be present in this mixture | вещества, которые, как полагают, присутствуют в этой смеси |
| the terms are opposite in sign | эти члены противоположны по знаку |
| the terms of equation are written out in full | выписать полностью |
| the work per iteration is n2 operations in general | на одну итерацию |
| their properties are discussed in the following | в последующем |
| there are a number of techniques for extending this problem class at the expense of an increase in computing cost | расширение класса (задач) |
| there are a number of techniques for extending this problem class at the expense of an increase in computing cost | вычислительные затраты |
| there are closed streamlines in front of the bluff bodies | впереди |
| there are nine circles in all | всего (в совокупности) |
| there is no limit to the volume of ... that can be accommodated in | вмещаться в |
| there is no loss of generality in supposing that A is defined on X | без потери общности предположим, что A определёно на X |
| these bauxites are poor in aluminum | низкое содержание алюминия |
| these concepts are in general distinct | эти понятия, в основном, различны |
| these data are summarized in | эти данные резюмированы в ... |
| these differences are often due to the variation in the kind and number of the built-in operations | обусловлен |
| these methods are easily extended to forms in higher dimensions | эти методы легко распространяются на случай форм высоких размерностей |
| these methods are easily extended to forms in higher dimensions | эти методы легко расширяются на формы ... |
| these methods are easily extended to forms in higher dimensions | данные методы легко переносятся на случай более высоких размерностей |
| these properties are not pertinent to the problem in hand | данные свойства не относятся к рассматриваемой нами задаче |
| they are listed in the table | приведены в таблице |
| this element was discovered in the sun before it was discovered on the earth | до того, как |
| this is reflected in the fact that | это выражается в том, что |
| this last property can be rephrased in terms of Fourier transforms by saying that | последнее свойство может быть перефразировано в терминах преобразования Фурье следующим образом |
| this last property can be rephrased in terms of Fourier transforms by saying that | последнее свойство может быть перефразировано в терминах преобразования Фурье следующим образом: |
| this material can be used in presenting a course in | данный материал можно использовать в изложении |
| this mechanism is dealt with in Chapter 2 | этот механизм обсуждается во второй главе |
| this principle was first formulated in the early fifties of the 20th century | в начале ... годов |
| this research was culminated in the discovery that | исследование завершилось, как высшей точкой, открытием |
| this term is less than 1 in absolute value | по модулю (in modulus) |
| this transformation can be adapted to our Problem 2 in several ways | несколькими способами |
| this transformation can be adapted to our Problem 2 in several ways | это преобразование может быть перенесено на нашу Задачу 2 несколькими путями |
| this transformation can be adapted to our Problem 2 in several ways | несколькими путями |
| this was a highly topical problem in the 1920s-1930s | это была чрезвычайно актуальная задача в 1920-30-х годах |
| this was a highly topical problem in the 1920s-1930s | данная задача была чрезвычайно популярной в двадцатых-тридцатых годах нашего столетия |
| those topics are reflected in 2, 3 | работы 2, 3 отражают эту тематику |
| those topics are reflected in | эти темы отражены в (those topics are reflected in some of the papers in the collection) |
| two scales in common use to-day are the Fahrenheit and | общеупотребительный |
| two special cases of 1.3 are discussed in detail | обсуждаются детально |
| we are interested in the stability of traveling waves | сейчас мы интересуемся устойчивостью |
| we are interested in the stability of traveling waves | сейчас мы интересуемся устойчивостью |
| we are not in need of | нам не нужно |
| we are now in a position to | мы уже готовы |
| we are now in a position to | мы уже готовы |
| we are now in a position to prove | приступить к |
| we are now in a position to use the theorem | теперь мы подготовлены к использованию теоремы |
| we are now in position to describe | теперь мы можем описать (we are now in position to describe the monodromy of the spherical pendulum) |
| we are still in the dark about | мы всё ещё ничего не знаем о |
| we are still in the dark about | мы всё ещё ничего не знаем о |
| what all the equations have in common is that | являться общей чертой |
| the authors give a description of a program for computer solution of corresponding problems in FORTRAN, whose listings are fully given in an appendix | чей полный текст даётся в приложении |
