Евразийский журнал математической теории и компьютерных наук

The article presents the improved physical and mechanical properties of the produced yarn with different content of the fibrous composition. The coefficient of variation of the produced yarn with various components is compared with the coefficient of variation in terms of hairiness, specific breaking load, sN/tex, coefficient of variation in terms of specific breaking load, % with the indicators of yarn produced at the spinning mill and Uster.

Hozirgi kunda elektr ta'minoti odamlar uchun qulaylik va iqtisodiyotning turli tarmoqlarining samarali ishlashini ta'minlashda muhim rol o'ynaydi. Biroq, elektr ta'minotidagi tez-tez uzilishlar va uzilishlar ishlab chiqarish jarayonlarining to'xtashi, fuqarolar xavfsizligiga tahdid va halokatli iqtisodiy yo'qotishlar kabi jiddiy oqibatlarga olib keladi. Shu munosabat bilan elektr ta'minotining ishonchliligini oshirish usullari va vositalarini ishlab chiqish davlat va xususiy kompaniyalar uchun dolzarb vazifaga aylanmoqda. Ushbu maqolada biz asosiy muammolar va xatarlarni, ishonchliligini oshirishning mavjud usullarini, shuningdek, ushbu muammoni hal qilishga yordam beradigan yangi yondashuvlar va texnologiyalarni ko'rib chiqamiz.

Integrals are a fundamental concept in calculus that is used to calculate the total area under a curve or the accumulated effect of a changing quantity over a specific interval. In many scientific and engineering applications, the ability to compute integrals accurately is crucial for understanding and analyzing various phenomena. In this article, we will discuss different algorithms and methods for calculating exact integrals in C++. These algorithms are essential for numerically approximating the exact value of integrals when analytical solutions are not feasible or too complex. We will explore various numerical integration techniques, such as the Riemann sum method, the Trapezoidal rule, Simpson's rule, and adaptive quadrature methods. These algorithms provide different approaches to approximating integrals with varying levels of accuracy and computational efficiency. By understanding and implementing these algorithms in C++, developers and researchers can efficiently calculate exact integrals for a wide range of applications, from physics and engineering to finance and data analysis.

The presented article discusses the Fourier method of separation of variables for solving the Laplace equation in a rectangular domain with Neumann boundary conditions. The main stages of this method are subsequently revealed:

1. Representation of the general solution of the Laplace equation in a rectangular domain using Fourier series.
2. Satisfying the Neumann boundary conditions using Fourier series.
3. Constructing the solution of the Neumann problem, including the expansion of the boundary functions into Fourier series, determining the Fourier coefficients, and writing the final solution in the form of a Fourier series.

Analysis of the properties of the obtained solution, including its uniqueness, smoothness, continuity, and physical interpretation.

This work examines the problem of ill-posed problems, which often arise in various fields of science and practice. Ill-posed problems are characterized by the lack of a unique solution, sensitivity to changes in input data, and instability of the solution. The aim of the work is to study the essence of ill-posed problems, identify the reasons for their occurrence, and consider examples from different areas of knowledge. Particular attention is paid to the theoretical aspects of ill-posed problems, such as non-uniqueness of the solution, sensitivity to input data, and uncertainty. The paper describes methods for solving ill-posed problems, including regularization, optimization, statistical, and machine learning methods. These approaches allow to deal with uncertainty and instability of the solution. The study of ill-posed problems is of great practical importance, as they often occur in real-life situations and require special methods for their solution. This research will be useful for specialists in various fields, as well as for anyone who faces the task of solving problems in their daily activities.

This material examines the key concepts of mathematical physics - the Green's function and the Laplace operator, and their application for solving problems related to the distribution of potentials and fields in various physical systems. Particular attention is paid to the study of the properties of the Green's function of the Laplace operator for a sphere and its use in solving practical problems.

Axborot texnologiyalarining atrof-muhitga ta'siri va ulardan foydalanishning salbiy oqibatlari o'rganiladi. Odamlarga yerning ekologik holatini yaxshilashga yordam berish uchun axborotdan foydalanishning asosiy yo'nalishlari ham taklif etiladi.

Ushbu maqolada innovatsion yondashuv asosida professional kompetentsiyani rivojlantirishning maqsadi va asosiy mezonlari bayon etilgan.

Ushbu maqola transformatsiya usullaridan foydalangan holda informatika va axborot texnologiyalari fanida uzluksizlik va aloqani ta'minlashning asosiy jihatlarini ko'rib chiqadi. Uzluksizlik va izchillik tez o'zgaruvchan texnologiyalar va bozor talablari sharoitida axborot tizimlarining uzluksiz ishlashini ta'minlash uchun muhim jihatlardir. Maqolada ma'lumotlar va bilimlarni o'zgartirish shakllari, interfeys va ma'lumotlarni standartlashtirish usullari, barqaror tizimlarni ishlab chiqish uchun me'moriy tamoyillar va jarayonlarni avtomatlashtirish va xodimlarni o'qitish kabi amaliy aloqalarni qo'llab-quvvatlash vositalari ko'rib chiqiladi.

Цель данной статьи заключается в обзоре основных принципов, технологий и применений параллельных и распределённых алгоритмов. Мы рассмотрим ключевые аспекты параллельных вычислений, такие как модели параллелизма, технологии MPI и CUDA, а также роль распределённых вычислений в контексте современных вычислительных систем. Особое внимание будет уделено примерам их применения в различных областях, от вычислительной биологии до обработки больших данных и искусственного интеллекта.