Actual problems of mining geomechanics are the tasks of control of the state of the massif at application of progressive systems of development.

In the practice of excavation of hollow coal seams by long-pillar mining systems, panel preparation is usually adopted. In this case the longwall face moves in the direction perpendicular to the drift ...

Let us introduce the necessary notation in connection with the formulation of a biharmonic problem for a circular sector...

The study of conductivity and its temperature dependence is an effective method of studying the structure-sensitive characteristics of melts. However, there are few publications of this kind, especially on sulfide melts of heavy non-ferrous metals, which are important in nitro-metallurgical processes. Most researchers in measuring the electrical conductivity of melts use either the contact method or the non-contact method introduced into the practice of high-temperature measurements by A. R. Regel. At the same time, the eddy current method can also be used for such measurements.

Integrators are widely used in many modern automation and counting and solving devices. They are used, in particular, to determine the coordinates of the location of some object if its velocity is known. Often the characteristic input signal of a dynamic system, or one of its components, is a random process. Then the output is also a random process, the parameters of which must be determined. We come to the formulation of such a problem, in particular, when determining the random component of the error at the output of the integrating drive.

The solution of the general biharmonic problem by the method of G. A. Greenberg is as follows.

Рассматриваемые в настоящей статье вопросы связаны с методом Д-разбиений исследования распределения корней уравнений,Приведем основные известные результаты, связанные с методом Д-разбиений.Пусть требуется исследовать распределение корней некоторого уравнения относительно мнимой оси плоскости корней. Введем в урав­нение два вещественных параметра аир, после чего оно примет вид ...

The article deals with the issues related to the calculation of the conditions of brittle rock fracture by statically applied load. The rock massif is considered as an infinite half-space under the action of a load normally applied to the boundary.

When solving some problems related to the quality of the control process, in a number of cases there is a need to study the distribution of roots of algebraic equations with respect to the rays coming from the origin. The present paper indicates a method of investigating the distribution of roots of equations with respect to regions formed by rays originating from the origin and symmetrically located with respect to the real axis of the plane of roots (Fig. 1 and 2).

The present paper investigates the distribution of large absolute value roots of quasi-polynomials of the form (1) (see article). As a result of the research it is shown that in the presence of the principal term the function (1) has two groups of large modulo roots with negative real parts, and the roots of each group obey the asymptotic dependences established in the work of the author [1]. The questions touched upon in the paper belong to the general problem of investigating the distribution of roots of quasi-polynomials, to which, as is known, many practical problems related to the construction and study of transients in linear systems with distributed parameters and with delay lead.