{"id":132554,"date":"2024-08-29T13:49:49","date_gmt":"2024-08-29T10:49:49","guid":{"rendered":"https:\/\/azbuki.bg\/?p=132554"},"modified":"2025-09-17T14:09:03","modified_gmt":"2025-09-17T11:09:03","slug":"sp-matematika-i-informatika-knizhka-4-2024-godina-lxvii","status":"publish","type":"post","link":"https:\/\/vocedu.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2024-g\/sp-matematika-i-informatika-knizhka-4-2024-godina-lxvii\/","title":{"rendered":"Mathematics and Informatics, Number 4\/2024, Volume 67"},"content":{"rendered":"<h3>Dynamics of a New Class of Oscillators: Melnikov\u2019s Approach, Possible Application to Antenna Array Theory<\/h3>\n<p><strong>Nikolay Kyurkchiev1,2), Tsvetelin Zaevski2,3)<\/strong><br \/>\n<strong>Anton Iliev1,2), Vesselin Kyurkchiev1), Asen Rahnev1)<\/strong><br \/>\n<em>University of Plovdiv \u201ePaisii Hilendarski\u201c (Bulgaria)<\/em><br \/>\n<em>2)Institute of Mathematics and Informatics,<\/em><br \/>\n<em>Bulgarian Academy of Sciences (Bulgaria)<\/em><br \/>\n<em>3)Faculty of Mathematics and Informatics,<\/em><br \/>\n<em>Sofia University \u201cSt. Kliment Ohridski\u201d (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-4-1-dyn\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-4-1-dyn<\/a><\/p>\n<p><strong>Abstract.<\/strong> In this paper, we propose a new class of extended oscillators. Some investigations based on the Melnikov\u2019s approach are applied for identifying some chaotic possibilities&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/vocedu.azbuki.bg\/en\/uncategorized\/dynamics-of-a-new-class-of-oscillators-melnikovs-approach-possible-application-to-antenna-array-theory\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>On the Time Complexity of an Algorithm<\/h3>\n<p><strong>Krassimir Manev<\/strong><br \/>\n<em>Journal Mathematics and Informatics \u2013 Sofia (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-4-2-ont\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-4-2-ont<\/a><\/p>\n<p><strong>Abstract.<\/strong> The difficulty of estimation the time complexity of an algorithm in the worst case is not always the same as the mathematical complexity of the solved task. In this paper we demonstrate a mathematically clear task proposed in a programming contest for Grade 6 students&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/vocedu.azbuki.bg\/en\/uncategorized\/on-the-time-complexity-of-an-algorithm\/\" target=\"_blank\" rel=\"noopener\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>An Iterative Algorithm for Determining the Greatest Common Divisor of Two or More Univariate Polynomials<\/h3>\n<p><strong>Verica Milutinovic\u2019<\/strong><br \/>\n<em>Faculty of Education, University of Kragujevac \u2013 Jagodina (Serbia)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-4-3-ani\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-4-3-ani<\/a><\/p>\n<p><strong>Abstract.<\/strong> The GCD problem in polynomial rings has long intrigued mathematicians for its diverse applications, leading to methods like the Euclidean algorithm, Routh array, and matrix-based approaches&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/vocedu.azbuki.bg\/en\/uncategorized\/an-iterative-algorithm-for-determining-the-greatest-common-divisor-of-two-or-more-univariate-polynomials\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Artifical Intelligence Tools into Higher Mathematics Education: Opportunities, Challenges and Student Perceptions<\/h3>\n<p><strong>Evgeniya Nikolova<\/strong><br \/>\n<em>Institute of Mathematics and Informatics \u2013 Bulgarian Academy of Sciences <\/em><em>Burgas Free University (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-4-4-int\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-4-4-int<\/a><\/p>\n<p><strong>Abstract.<\/strong> The article examines the use of artificial intelligence (AI) tools in higher mathematics education, focusing on the opinions and experiences of Bulgarian students. The research aims to explore how they impact on personalized learning, student engagement, skill development, and ethical challenges&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/vocedu.azbuki.bg\/en\/uncategorized\/artifical-intelligence-tools-into-higher-mathematics-education-opportunities-challenges-and-student-perceptions\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Attitudes of Prospective Teachers on Implementation of AI<\/h3>\n<p><strong>Nataliya Pavlova<\/strong><br \/>\n<em>University of Shumen \u201cBishop Konstantin Preslavski\u201d<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-4-5-att\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-4-5-att<\/a><\/p>\n<p><strong>Abstract.<\/strong> The article presents data from a survey of the attitudes towards working with intelligent programs based on large linguistic models (LLM) among 218 students and specialists \u2013 future teachers educated at Shumen University...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/vocedu.azbuki.bg\/en\/uncategorized\/naglasi-na-badeshhite-uchiteli-za-prilagane-na-izkustven-intelekt-v-obuchenieto\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Computer Models of One Mathematical Olympiad Problem<\/h3>\n<p><strong>Toni Chehlarova, Mladen Valkov<\/strong><br \/>\n<em>Institute of Mathematics and Informatics<\/em><br \/>\n<em>Bulgarian Academy of Sciences<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-4-6-com\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-4-6-com<\/a><\/p>\n<p><strong>Abstract.<\/strong> Dynamic computer models of a geometry problem from the 23rd Balkan Mathematical Olympiad in 2006 are presented...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/vocedu.azbuki.bg\/en\/uncategorized\/kompyutarni-modeli-na-edna-olimpijska-matematicheska-zadacha\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>GeoGebra Impact in Avoiding Common Mistakes Students Make in Handling Exponential Functions<\/h3>\n<p><strong>Shpresa Tuda, Shpetim Rexhepi<\/strong><br \/>\n<em>Mother Teresa University \u2013 Skopje (North Macedonia)<\/em><\/p>\n<p><strong>Abstract.<\/strong> Exponential functions, symbolized by f(x) = ax, represent fundamental mathematical concepts with extensive applications in real-world scenarios, ranging from population growth to compound interest and radioactive decay (Tuda &amp; Rexhepi 2023)&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/vocedu.azbuki.bg\/en\/uncategorized\/geogebra-impact-in-avoiding-common-mistakes-students-make-in-handling-exponential-functions\/\">SEE MORE<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Dynamics of a New Class of Oscillators: Melnikov\u2019s Approach, Possible Application to Antenna Array Theory Nikolay Kyurkchiev1,2), Tsvetelin Zaevski2,3) Anton Iliev1,2), Vesselin Kyurkchiev1), Asen Rahnev1) University of Plovdiv \u201ePaisii Hilendarski\u201c (Bulgaria) 2)Institute of Mathematics and Informatics, Bulgarian Academy of Sciences (Bulgaria) 3)Faculty of Mathematics and Informatics, Sofia University \u201cSt. Kliment Ohridski\u201d (Bulgaria) https:\/\/doi.org\/10.53656\/math2024-4-1-dyn Abstract. In [&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":{"source_name":"","source_url":"","via_name":"","via_url":"","override_template":"0","override":[{"template":"1","single_blog_custom":"","parallax":"1","fullscreen":"1","layout":"right-sidebar","sidebar":"default-sidebar","second_sidebar":"default-sidebar","sticky_sidebar":"1","share_position":"bottom","share_float_style":"share-monocrhome","show_share_counter":"1","show_view_counter":"1","show_featured":"0","show_post_meta":"1","show_post_author":"1","show_post_author_image":"1","show_post_date":"1","post_date_format":"custom","post_date_format_custom":"d-m-Y","show_post_category":"1","show_post_reading_time":"0","post_reading_time_wpm":"300","show_zoom_button":"1","zoom_button_out_step":"2","zoom_button_in_step":"3","show_post_tag":"1","show_prev_next_post":"1","show_popup_post":"1","number_popup_post":"3","show_author_box":"0","show_post_related":"0","show_inline_post_related":"0"}],"override_image_size":"0","image_override":[{"single_post_thumbnail_size":"crop-500","single_post_gallery_size":"crop-500"}],"trending_post":"0","trending_post_position":"meta","trending_post_label":"Trending","sponsored_post":"0","sponsored_post_label":"Sponsored by","sponsored_post_name":"","sponsored_post_url":"","sponsored_post_logo_enable":"0","sponsored_post_logo":"","sponsored_post_desc":"","disable_ad":"0"},"jnews_primary_category":{"id":"","hide":""}},"categories":[5209],"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 4\/2024, \u0433\u043e\u0434\u0438\u043d\u0430 LXVII - \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 rel=\"canonical\" href=\"https:\/\/philosophy.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2024-g\/sp-matematika-i-informatika-knizhka-4-2024-godina-lxvii\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\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 4\/2024, \u0433\u043e\u0434\u0438\u043d\u0430 LXVII - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Dynamics of a New Class of Oscillators: Melnikov\u2019s Approach, Possible Application to Antenna Array Theory Nikolay Kyurkchiev1,2), Tsvetelin Zaevski2,3) Anton Iliev1,2), Vesselin Kyurkchiev1), Asen Rahnev1) University of Plovdiv \u201ePaisii Hilendarski\u201c (Bulgaria) 2)Institute of Mathematics and Informatics, Bulgarian Academy of Sciences (Bulgaria) 3)Faculty of Mathematics and Informatics, Sofia University \u201cSt. Kliment Ohridski\u201d (Bulgaria) https:\/\/doi.org\/10.53656\/math2024-4-1-dyn Abstract. 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