Евразийский журнал математической теории и компьютерных наук

Ushbu maqolada raqamli muhitda bo‘lajak matematika o‘qituvchilarining axborot kompetensiyasini rivojlantirish ularning kasbiy tayyorgarligining muhim yo‘nalishi hisoblanadi. Oliy ta’lim tashkilotlarida ta’lim faoliyatini raqamli ta’lim faoliyatiga o‘tkazishga va yangi bilimlarni axborot texnologiyalari vositalaridan foydalangan holda, kompyuter va turli raqamli vositalardan foydalanishda talabalarning pedagogik mahoratini rivojlantirish haqida fikrlar yuritilgan.

В этом работе изучается семейство кривых  специального вида, достаточное, чтобы функция , обладающая свойством Морера вдоль кривых , голоморфно продолжалась в D ( ограниченная область в  со связной гладкой границей  класса ). Для этой цели рассматривается ядра, стоящие в формуле многомерного логарифмического вычета, изучается его свойства и приводится, в качестве применения, теоремы о функциях с одномерным свойством голоморфного продолжения вдоль комплексных кривых.

Difference schemes of the finite difference method of high-order accuracy for the sixth-order Sobolev-type equation are constructed and investigated. In particular, the first boundary value problem for the wave equation of a compressible stratified rotating fluid is considered. First, approximation is performed only in spatial variables by the finite difference method, and the resulting system of high-dimensional ordinary differential equations is also approximated by this method. Using the method of energy inequalities, a priori estimates were obtained and, on their basis, theorems on the stability and convergence of the constructed difference schemes were proven; accuracy estimates were obtained for sufficient smoothness of the solution to the original initial boundary value problem. An algorithm for implementing difference schemes is proposed.

This abstract discusses the process of solving a differential equation of parabolic type by the finite difference method. The method is based on discretization of space and time, approximation of derivatives and subsequent calculation of function values on a grid. The solution of a system of equations is performed using an explicit or implicit scheme. In an explicit scheme, the function values in the new time layer are calculated based on the function values in the previous layer. In the implicit scheme, the function values in the new layer are found as a solution to a system of equations. For the implicit scheme, iterative methods are used.

In this article, the introduction of intelligent control of the state of parameters in digital power grids. When new realities arise in our lives, the first thing we do is agree on names and terminology. It is impossible to have a discussion if its participants understand different processes under the same names or the same subjects of discussion have different conceptual names. This is especially true for new areas of activity that have arisen in the process of developing well-established practices with generally accepted terminology.

Мақолада узлуксиз ишлайдиган занжир насадкали ўсимлик мойини дезодорациялаш аппарати тизимли тахлили тўғрисида маълумотлар келтирилган. Иссиқлик модда алмашинишида кечадиган аппарат-занжир насадкали дезодораторни иерархик структураси кенг ёритилган. Занжир насадкали узлуксиз ишлайдиган ўсимлик мойини  дезодорациялашни структуравий схемаси ишлаш принципи ёритилган.