Terms for subject Mathematics containing in the AM

English	Russian
all the necessary formulas for numerical calculations are given in full	все формулы, необходимые для численных расчётов, даны полностью
as is the case in section 1	аналогично
be in the ratio 2:3	находиться в соотношении 2:3
be in the ration of 3:4	быть в отношении 3 к 4
early in the 1960s	в начале ... годов
energy is transmitted from the sun to the earth in the form of electromagnetic waves	передавать энергию
even so, a layer of lava 1 km thick is required to produce the 250 m difference in depth	даже в этом случае
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
I hope that it will be possible for you to help us in reviewing the article	помочь нам отреферировать статью
in order to establish the laws governing the variation in these parameters, physical investigations of a thermodynamic nature are needed	установить законы
in order to take the square root of a complex number, it is reasonable to convert this number into trigonometric form	тригонометрическая форма
in order to take the square root of a complex number, it is reasonable to convert this number into trigonometric form	извлекать квадратный корень из
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 this case, the plasma motion is directed at an angle to the magnetic field	под углом к
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
it is not the rule in mechanics but the exclusion	не правило, а исключение
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
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 the monodromy of ...	теперь мы в состоянии описать монодромию ... (now we are in position to describe the monodromy of the spherical pendulum)
putting these functions in 1 yields the requirement that the equation be satisfied exactly at the collocation points	точка коллокации
reference should be made in the previous section to different types of flow	сделать ссылку на
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
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
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 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 country has been falling behind in research since 1930s	отставать в исследовании
the device in Fig. 1 is	показанное на рисунке 1 устройство
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 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 magnetic field vibrates in a direction transverse to the direction the electromagnetic wave is traveling	поперечный к
the main point is that the initial equation can be approximated in the form	главная идея (2.4)
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 phenomenon of laminar flame propagation in reactive mediums is the subject of long-term scientific studies	давно стало предметом исследований
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 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 work per iteration is n2 operations in general	на одну итерацию
there is no limit to the volume of ... that can be accommodated in	вмещаться в
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 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 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
what all the equations have in common is that	являться общей чертой