{"id":224560,"date":"2026-03-05T15:02:14","date_gmt":"2026-03-05T13:02:14","guid":{"rendered":"https:\/\/azbuki.bg\/?p=224560"},"modified":"2026-03-10T11:45:09","modified_gmt":"2026-03-10T09:45:09","slug":"sp-matematika-i-informatika-knizhka-1-2026-godina-lxviv","status":"publish","type":"post","link":"https:\/\/newspaper.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2026-g\/sp-matematika-i-informatika-knizhka-1-2026-godina-lxviv\/","title":{"rendered":"Mathematics and Informatics, Number 1\/2026, Volume 69"},"content":{"rendered":"<h3>The System Needs Stability and Flexibility, Not Self-Serving \u201fInnovations\u201d<\/h3>\n<p><strong>Philip Petrov<\/strong>,<br \/>\nEditor-In-Chief<\/p>\n<p>Dear readers, 2025 did not pass without attempts to rewrite and reshape the school curricula yet again. By coincidence, this happened while I was working on editing a new textbook for the Information Technologies subject. These dynamic times led me to the following comic situation \u2013 for the textbook to be outdated before even being fully written...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/newspaper.azbuki.bg\/en\/uncategorized\/na-sistemata-%d1%9d-e-nuzhna-stabilnost-i-gavkavost-a-ne-samoczelni-inovaczii\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3 class=\"jeg_post_title\">A Method for Solving Extremal Problems in Algebra and Stereometry<\/h3>\n<p><strong>Ivaylo Dimitrov 1), Nina Dimitrova 2), Miroslav Hristov 3), Elis Kodzha 4), Mehmed Kodzha 5)<\/strong><\/p>\n<p><em>1)High School of Mathematics Nancho Popovich Shumen (Bulgaria)<\/em><br \/>\n<em>2)Secondary School Panayot Volov Shumen (Bulgaria)<\/em><br \/>\n<em>3)Faculty of mathematics and computer science Shumen University (Bulgaria)<\/em><br \/>\n<em>4)High School of Agriculture and Food Technology Shumen (Bulgaria)<\/em><br \/>\n<em>5)High School of Mathematics Nancho Popovich Shumen (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2026-1-1-mse\">https:\/\/doi.org\/10.53656\/math2026-1-1-mse<\/a><\/p>\n<p><strong>Abstract.<\/strong> In this article, we propose a method for solving extremal problems in algebra and stereometry&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/newspaper.azbuki.bg\/en\/uncategorized\/a-method-for-solving-extremal-problems-in-algebra-and-stereometry\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Fast Adaptive Entropy-driven Multilevel Image Segmentation using Look-up Tables on GPU Platforms<\/h3>\n<p><strong>Georgi Petrov<\/strong><br \/>\n<em>Department of Telecommunications,<\/em><br \/>\n<em>New Bulgarian University,<\/em><br \/>\n<em>Sofia (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2026-1-2-fae\">https:\/\/doi.org\/10.53656\/math2026-1-2-fae<\/a><\/p>\n<p><strong>Abstract.<\/strong> This paper proposes a fast, adaptive method for multilevel image segmentation based on Kapur\u2019s entropy. Implemented on CPU and GPU, the method achieves up to 40\u00d7 acceleration using CUDA and memory optimization&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/newspaper.azbuki.bg\/en\/uncategorized\/fast-adaptive-entropy-driven-multilevel-image-segmentation-using-look-up-tables-on-gpu-platforms\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Mathematical Modelling in the Computation of Volumes of Solids of Revolution<\/h3>\n<p><strong>Radoslav Bo\u017ei\u0107 1), Milenkovi\u0107 Aleksandar 2), Mitrovi\u0107 Sla\u0111ana 3)<\/strong><br \/>\n1)Educons University, Faculty of Teacher Training, Novi Sad (Serbia)<br \/>\n2)University of Kragujevac, Faculty of Science, Kragujevac (Serbia)<br \/>\n3)University of Novi Sad, Faculty of Science, Novi Sad, Serbia<\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2026-1-3-mmc\">https:\/\/doi.org\/10.53656\/math2026-1-3-mmc<\/a><\/p>\n<p><strong>Abstract.<\/strong> In this paper, the influence of the mathematical modelling approach in computer-supported collaborative learning (CSCL final) on students\u2019 knowledge of calculus contents, particularly the application of definite integral, is examined. The research was conducted with the final-grade students at the grammar school&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/newspaper.azbuki.bg\/en\/uncategorized\/mathematical-modelling-in-the-computation-of-volumes-of-solids-of-revolution\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Lexaquery: a Hybrid Chatbot System for University Student Information Services<\/h3>\n<p><strong>George Pashev, Silvia Gaftandzhieva<\/strong><br \/>\n<em>University of Plovdiv Paisii Hilendarski, Plovdiv (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2026-1-4-lhc\">https:\/\/doi.org\/10.53656\/math2026-1-4-lhc<\/a><\/p>\n<p><strong>Abstract.<\/strong> 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 linguistics with SQL database querying. Instead of relying on large, resource-intensive large language models (LLMs), LexaQuery uses rule-based natural language processing to translate student questions into structured SQL&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/newspaper.azbuki.bg\/en\/uncategorized\/lexaquery-a-hybrid-chatbot-system-for-university-student-information-services\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Methodological Issues and Teacher Observations on the Added Value \u043ef Extended Mathematics Preparation in School<\/h3>\n<p><strong>Kiril Bankov 1), Borislava Kirilova 1), Hristo Hristov 2)<\/strong><br \/>\n<em>1)Sofia University \u201cSt. Kliment Ohridski\u201d \u2013 Sofia (Bulgaria)<\/em><br \/>\n<em>2)European School of Brussels IV \u2013 Brussels (Belgium)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2026-1-5-mit\">https:\/\/doi.org\/10.53656\/math2026-1-5-mit<\/a><\/p>\n<p><strong>Abstract.<\/strong> 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...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/newspaper.azbuki.bg\/en\/uncategorized\/metodologicheski-problemi-i-uchitelski-nablyudeniya-varhu-dobavenata-stojnost-na-razshirenata-podgotovka-po-matematika-v-uchilishhe\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Twenty-Second International Linguistics Olympiad<\/h3>\n<p><strong>Ivan Derzhanski<\/strong><br \/>\n<em>Institute of Mathematics and Informatics \u2013 Bulgarian Academy of Science \u2013 Sofia (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2026-1-6-til\">https:\/\/doi.org\/10.53656\/math2026-1-6-til<\/a><\/p>\n<p><strong>Abstract.<\/strong> 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...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/newspaper.azbuki.bg\/en\/uncategorized\/dvadeset-i-vtora-mezhdunarodna-olimpiada-po-lingvistika\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u0441\u0438\u0441\u0442\u0435\u043c\u0430\u0442\u0430 \u045d \u0435 \u043d\u0443\u0436\u043d\u0430 \u0441\u0442\u0430\u0431\u0438\u043b\u043d\u043e\u0441\u0442 \u0438 \u0433\u044a\u0432\u043a\u0430\u0432\u043e\u0441\u0442, \u0430 \u043d\u0435 \u0441\u0430\u043c\u043e\u0446\u0435\u043b\u043d\u0438 \u201e\u0438\u043d\u043e\u0432\u0430\u0446\u0438\u0438\u201c \u0424\u0438\u043b\u0438\u043f \u041f\u0435\u0442\u0440\u043e\u0432, \u0433\u043b\u0430\u0432\u0435\u043d \u0440\u0435\u0434\u0430\u043a\u0442\u043e\u0440 \u0421\u043a\u044a\u043f\u0438 \u0447\u0438\u0442\u0430\u0442\u0435\u043b\u0438, 2025 \u0433\u043e\u0434\u0438\u043d\u0430 \u043d\u0435 \u0431\u0435\u0448\u0435 \u043f\u043e\u0434\u043c\u0438\u043d\u0430\u0442\u0430 \u043e\u0442 \u043f\u043e\u0440\u0435\u0434\u043d\u0438\u0442\u0435 \u0437\u0430\u044f\u0432\u043a\u0438 \u0437\u0430 \u043f\u0440\u0435\u043a\u0440\u043e\u044f\u0432\u0430\u043d\u0435 \u043d\u0430 \u0443\u0447\u0435\u0431\u043d\u0438 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u0438. \u041f\u043e \u0441\u0442\u0435\u0447\u0435\u043d\u0438\u0435 \u043d\u0430 \u043e\u0431\u0441\u0442\u043e\u044f\u0442\u0435\u043b\u0441\u0442\u0432\u0430\u0442\u0430 \u0442\u043e\u0432\u0430 \u0441\u0435 \u0441\u043b\u0443\u0447\u0438, \u0434\u043e\u043a\u0430\u0442\u043e \u0440\u0430\u0431\u043e\u0442\u0435\u0445 \u0432\u044a\u0440\u0445\u0443 \u0440\u0435\u0434\u0430\u043a\u0446\u0438\u044f \u043d\u0430 \u043d\u043e\u0432 \u0443\u0447\u0435\u0431\u043d\u0438\u043a \u043f\u043e \u0418\u0422. \u0414\u0438\u043d\u0430\u043c\u0438\u043a\u0430\u0442\u0430 \u043d\u0430 \u0432\u0440\u0435\u043c\u0435\u0442\u043e \u043c\u0435 \u0434\u043e\u0432\u0435\u0434\u0435 \u0434\u043e \u043a\u043e\u043c\u0438\u0447\u043d\u0430 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u044f [&hellip;]<\/p>","protected":false},"author":124332423427287,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[]},"categories":[16853],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0421\u043f. \u201e\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201c, \u043a\u043d\u0438\u0436\u043a\u0430 1\/2026, \u0433\u043e\u0434\u0438\u043d\u0430 LXVIV - \u0410\u0437-\u0431\u0443\u043a\u0438<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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