НА СИСТЕМАТА СА Ѝ НУЖНИ СТАБИЛНОСТ И ГЪВКАВОСТ, А НЕ САМОЦЕЛНИ „ИНОВАЦИИ“

A METHOD FOR SOLVING EXTREMAL PROBLEMS IN ALGEBRA AND STEREOMETRY

In this article, we propose a method for solving extremal problems in algebra and stereometry. The method is applied to problems that can be addressed using basic elementary inequalities and trigonometric equalities in triangles. These problems are reduced...

FAST ADAPTIVE ENTROPY-DRIVEN MULTILEVEL IMAGE SEGMENTATION USING LOOK-UP TABLES ON GPU PLATFORMS

This paper proposes a fast, adaptive method for multilevel image segmentation based on Kapur’s entropy. Implemented on CPU and GPU, the method achieves up to 40× acceleration using CUDA and memory optimization. Segmentation quality is preserved while enabling...

MATHEMATICAL MODELLING IN THE COMPUTATION OF VOLUMES OF SOLIDS OF REVOLUTION

In this paper, the influence of the mathematical modelling approach in computer-supported collaborative learning (CSCL final) on students’ knowledge of calculus contents, particularly the application of definite integral, is examined. The research was conduc...

LEXAQUERY: A HYBRID CHATBOT SYSTEM FOR UNIVERSITY STUDENT INFORMATION SERVICES

Universities show a rapidly growing interest in using Artificial Intelligence tools. This paper presents LexaQuery, a new chatbot system for university information services that efficiently handles university information inquiries by combining computational li...

METHODOLOGICAL ISSUES AND TEACHER OBSERVATIONS ON THE ADDED VALUE OF EXTENDED MATHEMATICS PREPARATION IN SCHOOL

Teachers commonly consider the number of teaching hours in a particular subject to be insufficient for achieving sustainable results in the acquisition of knowledge and skills. It is assumed that increasing the number of hours should lead to an improvement in...

TWENTY-SECOND INTERNATIONAL LINGUISTICS OLYMPIAD

The article is devoted to the Twenty-second International Linguistics Olympiad held in 2025. It presents the results of the Bulgarian participants, a chart of the awards from past years, one of the problems from the qualification tests and its solution.