{"id":95835,"date":"2023-10-31T17:32:36","date_gmt":"2023-10-31T14:32:36","guid":{"rendered":"https:\/\/azbuki.bg\/?p=95835"},"modified":"2025-09-17T13:33:26","modified_gmt":"2025-09-17T10:33:26","slug":"sp-matematika-i-informatika-knizhka-5-2023-godina-lxvi","status":"publish","type":"post","link":"https:\/\/science.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/sp-matematika-i-informatika-knizhka-5-2023-godina-lxvi\/","title":{"rendered":"Mathematics and Informatics, Number 5\/2023, Volume 66"},"content":{"rendered":"<h3>Areas Associated to a Quadrilateral<\/h3>\n<p><strong>Oleg Mushkarov1), Nikolai Nikolov1,2)<\/strong><\/p>\n<p><em>1)Institute of Mathematics and Informatics, Bulgarian Academy of Sciences<\/em><br \/>\n<em>2)University of Library Studies and Information Technologies<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-5-1-are\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-5-1-are<\/a><\/p>\n<p><strong>Abstract.<\/strong> We study the relationship between the areas of the consecutive&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/areas-associated-to-a-quadrilateral\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>On the Dynamics of a Class of Third-Order Polynomial Difference Equations with Infinite Number of Period-Three Solutions<\/h3>\n<p><strong>Jasmin Bekte\u0161evi\u0107, Vahidin Had\u017eiabdi\u0107,<\/strong><br \/>\n<strong>Midhat Mehulji\u0107, Sadjit Metovi\u0107, Haris Luli\u0107<br \/>\n<\/strong><em>University of Sarajevo (Bosnia and Herzegovina)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-5-2-ont\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-5-2-ont<\/a><\/p>\n<p><strong>Abstract.<\/strong> We study the local dynamics and global character of third-order polynomial difference in the first octant of initial conditions with infinite number of prime period-three solutions (three cycles)&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/on-the-dynamics-of-a-class-of-third-order-polynomial-difference-equations-with-infi-nite-number-of-period-three-solutions\/\" 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>System for Retrieval and Visualization of Data from the Internet<\/h3>\n<p><strong>Georgi Cholakov 1), Emil Doychev 1), <\/strong><strong>Svetla Koeva 2)<\/strong><br \/>\n<em>1) University of Plovdiv \u201cP. Hilendarsky\u201d \u2013 Plovdiv (Bulgaria)<\/em><br \/>\n<em>2) Institute for Bulgarian Language\nBulgarian Academy of Sciences<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-5-3-sys\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-5-3-sys<\/a><\/p>\n<p><strong>Abstract.<\/strong> The article presents a system that dynamically displays the availability of language datasets and language models found in large repositories such as Hugging Face...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/sistema-za-izvlichane-i-vizualizacziya-na-danni-ot-internet\/\" 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>Evaluati\u043en of Children\u2019s Behaviour in the Context of an Educational Mobile Game<\/h3>\n<p><strong>Margarita Gocheva,<\/strong><br \/>\n<strong>Nikolay Kasakliev,<\/strong><br \/>\n<strong>Elena Somova<br \/>\n<\/strong><em>University of Plovdiv \u201cPaisii Hilendarski\u201d (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-5-4-eva\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-5-4-eva<\/a><\/p>\n<p><strong>Abstract.<\/strong> The paper presents a study aiming to propose a model and system for mobile gamebased learning in which the behaviour of the learner during the game is taken into account, considering characteristics such as noise level, movements of the mobile device, switching between applications and the availability of Wi-Fi network and Internet connection&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/evaluation-of-childrens-behaviour-in-the-context-of-an-educational-mobile-game\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Choosing an Appropriate Model for Investigating the Tasks of School in Mathematics after Grade VII According to IRT Methods<\/h3>\n<p><strong>Pavlin Tsonev<\/strong><br \/>\n<em>\u201cGeorgi Benkovski\u201d Bulgarian Air Force Academy - Dolna Mitropolia, Bulgaria<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-5-5-cho\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-5-5-cho<\/a><\/p>\n<p><strong>Abstract.<\/strong> In the article the methods of Item Response Theory were used for analyzing the measuring qualities of the test tasks with a selectable answer from the National External Evaluation for the Grade 7 conducted in 2021 in the Sofia city and Pleven districts...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/izbor-na-podhodyashh-model-za-izsledvane-na-zadachite-ot-nvo-po-matematika-sled-vii-klas-spored-metodite-na-irt\/\" target=\"_blank\" rel=\"noopener\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Competency-Based Model for Conducting Distance Online Synchronous Education of the Students<\/h3>\n<p><strong>Desislava Georgieva<\/strong><br \/>\n<em>St. Cyril and St. Methodius University of Veliko Tarnovo<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-5-6-com\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-5-6-com<\/a><\/p>\n<p><strong>Abstract.<\/strong> This research examines the problem of training future primary school teachers and math teachers in the conditions of the Covid-19 crisis&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/competency-based-model-for-conducting-distance-online-synchronous-education-of-the-students\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Algorithm for Solution of a Transportation Problem with MS Excel Solver<\/h3>\n<p><strong>Mariyan Milev1) Velika Kuneva2)<\/strong><br \/>\n<em>1) Sofia University<\/em><br \/>\n<em>2) Agricultural University \u2013 Plovdiv (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-5-7-alg\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-5-7-alg<\/a><\/p>\n<p><strong>Abstract.<\/strong> In this article, an applied solution to a transport problem using MS Excel software (solver) is presented...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/algoritam-za-reshavane-na-transportna-zadacha-s-ms-excel-solver\/\" 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>Selection and Justification of Criteria for Comparative Analysis of Lightweight Ciphers<\/h3>\n<p><strong>Dilyana Dimitrova<\/strong><br \/>\n<em>Nikola Vaptsarov Naval Academy  - Varna<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-5-8-sel\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-5-8-sel<\/a><\/p>\n<p><strong>Abstract.<\/strong> The main aim of the paper is selection of criteria for evaluation and analysis of lightweight ciphers with different structure and modes of operation to serve in the subsequent comparative analysis of selected ciphers, finalists in the NIST\u2019s competition for new lightweight cryptographic algorithm...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/izbor-i-obosnovka-na-pokazateli-za-sravnitelen-analiz-na-niskoresursni-shifri\/\">SEE MORE<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Areas Associated to a Quadrilateral Oleg Mushkarov1), Nikolai Nikolov1,2) 1)Institute of Mathematics and Informatics, Bulgarian Academy of Sciences 2)University of Library Studies and Information Technologies https:\/\/doi.org\/10.53656\/math2023-5-1-are Abstract. We study the relationship between the areas of the consecutive&#8230; \u0412\u0418\u0416 \u041f\u041e\u0412\u0415\u0427\u0415 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; On the Dynamics of a Class of Third-Order Polynomial Difference Equations [&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":"0","show_post_author_image":"1","show_post_date":"0","post_date_format":"default","post_date_format_custom":"Y\/m\/d","show_post_category":"1","show_post_reading_time":"1","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":[4262],"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 5\/2023, \u0433\u043e\u0434\u0438\u043d\u0430 LXVI - \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:\/\/mathinfo.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/sp-matematika-i-informatika-knizhka-5-2023-godina-lxvi\/\" \/>\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 5\/2023, \u0433\u043e\u0434\u0438\u043d\u0430 LXVI - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Areas Associated to a Quadrilateral Oleg Mushkarov1), Nikolai Nikolov1,2) 1)Institute of Mathematics and Informatics, Bulgarian Academy of Sciences 2)University of Library Studies and Information Technologies https:\/\/doi.org\/10.53656\/math2023-5-1-are Abstract. 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