Universal Index Library of Eurasian Journal of Mathematical Theory and Computer Sciences

This article discusses the theoretical and practical foundations of computational linguistics, its advanced methods, and future development prospects, with a focus on innovative solutions in the field of artificial intelligence. The first part defines linguistics and computational linguistics and explains their theoretical frameworks, including mathematical modeling, formal grammars, and axiomatic principles. The article further analyzes the application of modern methods such as machine translation, neural networks, and deep learning technologies in computational linguistics. It also explores the integration of artificial intelligence, cognitive modeling, and the practical applications of these technologies in education and business.

The main goal of the projects being implemented in the education system today is the formation of free thinking, practical skills, and a creative approach in students. In particular, the use of modern technologies in teaching mathematics ensures that students easily understand and easily learn the subject. For example, the appearance of geometric shapes through some mobile applications provides students with a number of conveniences and arouses great interest in the new topic being studied.