Mathematical Methods in Social Sciences

The article provides a detailed examination of the importance of mathematics in various natural sciences, such as physics, astronomy, biology, and chemistry. It emphasizes how mathematics plays a key role in the development and advancement of these disciplines by ensuring accuracy, systematization, and the ability to deeply analyze complex processes and phenomena

It is based on the connections between different knowledge systems recognized by man, which, in turn, are conditioned by the existence of relations of interdependence and interdependence of objects and phenomena of objective reality. According to many philosophers, the study of these transitional areas has generated great interest both for the definition (definition) of the relationships between sciences and for understanding the essence of each individual area of human knowledge. And here we had to wait for the greatest results

With the background of fast developing artificial intelligence and Internet technology, face recognition, one of the product technologies under the theory of machine learning, has become widely applied on safety tests, identity confirmation, public security photos, and access control system. Based on the trend of its development speed, this technology will have well developed circumstances and the field of application will expand. One of the most essential reasons why it has become so popular is that the algorithms used for face recognition are advanced. In this paper, the author mainly researches five algorithms to realize face recognition based on relevant literature. They are eparately CNN, PCA, SVM. After comparison and analysis, it can be found that CNN is one of the most suitable algorithms to recognize human faces, and PCA and SVM have problems of calculating speed. If combining different algorithms together and using their advantages in face recognition in different steps, the prediction of the algorithms will be

A system of work of a mathematics teacher in modern conditions should be aimed at the development of students: their worldview, creative abilities, and cognitive activity. Learning for everyone should be interesting and exciting. The competency-based approach to teaching mathematics forces the teacher to review constantly the arsenal of teaching and upbringing tools, choosing the most effective forms and developing them together with students, based on knowledge and experience of students gained in mathematics lessons. Using a computer allows you to create an information environment that stimulates the interest and inquisitiveness of students. The article reveals the features of the use of information and communication technologies in the classroom as a means of developing students’ creative thinking.

Ushbu maqolada chiziqli va chiziqsiz regressiya modellarini tuzishda normal tenglamalar tizimidan foydalanishni ko’rib o‘taganmiz. Ma’lumki, korrelyatsion va regression tahlilning samaradorligi ko‘pgina iqtisodiy va ijtimoiy muammolarni hal qilishda muhim ro‘l o‘ynaydi. Korrelyatsion va regression tahlil qilishdan oldin o‘rganilayotgan hodisalar o‘rtasida bog‘lanish har tomonlama sinchiklab tahlil qilinishi lozim

Mazkur ishda parabolik tenglamaning yechimini maple dasturida o'zgaruvchilarni ajratish usuli bilan topish va tayin qiymatlarda grafigini chizish ko’rsatib o’tilgan

This article describes the interactive methods used in the teaching of mathematics and the state of formation of mathematical skills in
students using them on the basis of practical analysis

Iqtisodiy dinamikaning chiziqli modellarida traektoriyalar xarakatining turg’unligi haқida tadqiqot olib borilgan. Traektoriyalar xarakatining turg’un va turg’un bo‘lmasligi uchun zaruriy va yetarli shartlar olingan

ABSTRACT
The article proposes an universal method for developing a correlation model that can be applied in solving economic problems in planning and forecasting. Based on the equation of the developed correlation model, the number of labor resources of the Bukhara region for the period 2021-2030 is predicted and their prospective trends are determined

this article studies the solution of systems of linear equations to problems encountered in chemistry, pharmacy, and other sciences

The article presents methods for solving an equation consisting of a sum of linear expressions under the modulus sign using the properties of a function composed of this equation

The article presents methods for solving physics problems using differential equations.

In this article it is discussed the role of ICT in teaching mathematics especially at schools. Moreover, here is given some steps to
create interactive lesson with the help of the information and communication technology

Kelajak uchun har tomonlama etuk mutaxassis kadrlar tayyorlashning mohiyati, zamonaviy fan va texnikaning rivojlanish talablariga mos barkamol avlodni tarbiyalash masalalari izchillik bilan tashkil etilib, bu boradagi dolzarb masalalar va ularni amalga oshirish chora tadbiri milliy dasturda belgilab berilgan.