| English | Russian |
| a critical value, which is determined by Eq. | некоторое критическое значение, которое определено уравнением |
| a diagonally dominant dominant-like matrix is one for which it is known a priori that без артикля pivoting for stability is not required | выбор ведущего элемента |
| an inextensible string is a string which is impossible to stretch | растягивать струну |
| clarify the reasons for the occurrence of secular terms it is useful to consider a problem which | чтобы объяснить причины наличия вековых членов, полезно рассмотреть задачу, когда ... |
| clarify the reasons for the occurrence of secular terms it is useful to consider a problem which | возникновение секулярных членов |
| due to its simplicity, the class of problems to which collocation is easily applied is greater than for the | более широкий класс |
| every function which is но не being an element of this space is continuous | являющийся |
| in is not possible to extend Abel's theorem to paths which are tangent to the unit circle | распространить теорему на |
| is not that which is normally expected | не такой, какого можно было бы ожидать |
| it is not possible to extend Abel's theorem to paths which are tangent to the unit circle | теорему Абеля невозможно распространить на случай путей, касательных к единичной окружности |
| it is now more important than ever for engineers to understand the principles which lie at the heart of modern numerical methods | понимание принципов, лежащих в основе современных численных методов, теперь становится для инженеров более важным, чем когда-либо прежде |
| let an be a sequence of positive integers none of which is | на ... больше меньше |
| let K be the largest interval containing J on which f is monotone | пусть К есть наибольший интервал, содержащий J, на котором ... |
| one manner in which the energy loss due to movement in the boundary conditions is manifested is through a lowering of the natural frequencies | один способ, как проявляется потеря энергии вследствие движения в граничных условиях |
| that which has been proved | доказанный |
| the computed solution is an exact solution of a problem in which T is perturbed slightly | вычисленное решение |
| 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 idea of estimation which is described in Ch. 2 gives a partial answer to this problem | описанная в Гл. 2 |
| the key tool in the proof of Theorem 1 are asymptotic existence theorems which were proved in 4 | центральное орудие |
| the order in which derivatives are taken indicates that | порядок, в котором берутся производные, указывает, что |
| the second area on which our examples shed light is that of | вторая область, на которую наши примеры проливают свет, это |
| the set of points on the plane, which is called a circumference | назовём окружностью множество точек на плоскости ... |
| the theory which we are about to discuss furnishes an explanation of the phenomenon | теория, которую мы собираемся обсуждать, даёт объяснение данному явлению |
| the total number of ways in which it can be marked is thus | полное количество способов |
| this is precisely ... which | именно тот, который |
| we describe the method which is due to Dirichlet | который принадлежит Дирихле |
| where T is the time at which p=0 | где Т – время, при котором p=0 |
| which is | являющийся |
| P is linear in H1, H2, ..., Hr as the derivative of W, which is already linear in these variables | является линейным по переменным |
| which is impossible | что невозможно (hence, we come to the equality 0=1, which is impossible) |
| which is the required result | что и требовалось доказать |
| which is to say that | что означает, что |
| which is unique to | который характерен только для |
| ... which is unsatisfactory for using them as an approximate basis | что неудовлетворительно для использования их в качестве ... |
| which is what we set out to prove | что и требовалось доказать |
| which is why | и, следовательно |
| which is why | и поэтому |
| which of these angles is smaller? | какой из этих углов меньше? |
| which/that is typical of the problem | что типично для данной задачи |