{"id":149042,"date":"2025-04-04T12:21:03","date_gmt":"2025-04-04T09:21:03","guid":{"rendered":"https:\/\/azbuki.bg\/?p=149042"},"modified":"2025-09-17T14:24:18","modified_gmt":"2025-09-17T11:24:18","slug":"sp-matematika-i-informatika-knizhka-1-2025-godina-lxviii","status":"publish","type":"post","link":"https:\/\/bel.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-1-2025-godina-lxviii\/","title":{"rendered":"Mathematics and Informatics, Number 1\/2025, Volume 68"},"content":{"rendered":"<h3>Applying Delaunay Triangulation in Olympiad Problems<\/h3>\n<p><strong>Dragomir Grozev, Nevena Sybeva<\/strong><br \/>\n<em>Institute of Mathematics and Informatics<\/em><br \/>\nBulgarian Academy of Sciences \u2013 Sofia (Bulgaria)<\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-1-1-app\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-1-1-app<\/a><\/p>\n<p><strong>Abstract.<\/strong> Some fundamental properties of Delaunay triangulation are presented in this article. The construction of the triangulation described here has not been encountered by the authors in the known literature&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/applying-delaunay-triangulation-in-olympiad-problems\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>A Note on a Generalized Dynamical System Occurs in Modelling \u2018The Battle of the Sexes\u2019: Chaos in Sociobiology<\/h3>\n<p><strong>Nikolay Kyurkchiev1,2), Anton Iliev1), Vesselin Kyurkchiev1),<\/strong><br \/>\n<strong>Angel Golev1), Todorka Terzieva1), Asen Rahnev1)<\/strong><br \/>\n<em>1)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><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-1-2-ano\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-1-2-ano<\/a><\/p>\n<p><strong>Abstract.<\/strong> In this paper, we propose a new system that occurs in modelling \u201cthe battle of the sexes\u201d in evolutionary biology (Hofbauer &amp; Sigmund 1988)&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/a-note-on-a-generalized-dynamical-system-occurs-in-modelling-the-battle-of-the-sexes-chaos-in-sociobiology\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Apollonian Sphere and Properties of Stereographic Projection around the Lemoine Point<\/h3>\n<p><strong>Vladislav Natchev<\/strong><br \/>\n<em>American College of Sofia (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-1-3-apo\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-1-3-apo<\/a><\/p>\n<p><strong>Abstract.<\/strong> The definition and some of the properties of the Apollonian circle in the plane find their analogies in the Euclidean three-dimensional space. Thus, we manage to introduce a new concept in solid geometry that we call an \u201cApollonian sphere\u201d&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/apollonian-sphere-and-properties-of-stereographic-projection-around-the-lemoine-point\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Educational Resources for Studying Midsegment of Triangle and Trapezoid<\/h3>\n<p><strong>Toni Chehlarova 1), Neda Chehlarova 2), Georgi Gachev 1)<\/strong><br \/>\n<em>1)Institute of Mathematics and Informatics,<\/em><br \/>\n<em>Bulgarian Academy of Sciences (Bulgaria)<\/em><br \/>\n<em>2)Institute of Robotics \u201cSt. Ap. and Gospeller Matthew\u201d<\/em><br \/>\n<em>Bulgarian Academy of Sciences (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-1-4-edu\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-1-4-edu<\/a><\/p>\n<p><strong>Abstract.<\/strong> Some educational resources for teaching mathematics in the study of midsegments of triangles and trapezoids are described&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/educational-resources-for-studying-midsegment-of-triangle-and-trapezoid\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Digital Competency Self-assessment of Computer Science Teachers in Bulgarian Secondary Schools<\/h3>\n<p><strong>Ivaylo Staribratov, Muharem Mollov<\/strong><br \/>\n<em>University of Plovdiv Paisii Hilendarski \u2013 Plovdiv (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-1-5-dig\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-1-5-dig<\/a><\/p>\n<p><strong>Abstract.<\/strong> This article presents a study on the self-assessment of digital competencies among computer science and IT teachers in Bulgarian secondary education&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/digital-competency-self-assessment-of-computer-science-teachers-in-bulgarian-secondary-schools\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Utilizing Geographical Information System for Mapping Schools Distribution. Case Study: the 4th Lower Secondary in Florina City, Greece<\/h3>\n<p><strong>Ilias Solakis, Irena Atanasova<\/strong><br \/>\n<em>South-West University \u201cNeofit Rilski\u201d \u2013 Blagoevgrad, (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-1-6-uti\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-1-6-uti<\/a><\/p>\n<p><strong>Abstract.<\/strong> The Geographic Information System (GIS) is still a special tool for mapping schools, comprehending urban planning, and allocating educational resources&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/utilizing-geographical-information-system-for-mapping-schools-distribution-case-study-the-4th-lower-secondary-in-florina-city-greece\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Addressing Data Literacy in Information Systems Education<\/h3>\n<p><strong>Kalinka Kaloyanova1,2)<\/strong><br \/>\n<em>1)Faculty of Mathematics and Informatics <\/em><em>Sofia University St. Kliment Ohridski (Bulgaria)<\/em><br \/>\n<em>2)Institute of Mathematics and Informatics, Bulgarian Academy of Sciences (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2025-1-7-add\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2025-1-7-add<\/a><\/p>\n<p><strong>Abstract.<\/strong> Data literacy is essential in our data-driven society&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/bel.azbuki.bg\/en\/uncategorized\/addressing-data-literacy-in-information-systems-education\/\">SEE MORE<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Applying Delaunay Triangulation in Olympiad Problems Dragomir Grozev, Nevena Sybeva Institute of Mathematics and Informatics Bulgarian Academy of Sciences \u2013 Sofia (Bulgaria) https:\/\/doi.org\/10.53656\/math2025-1-1-app Abstract. Some fundamental properties of Delaunay triangulation are presented in this article. The construction of the triangulation described here has not been encountered by the authors in the known literature&#8230; \u0412\u0418\u0416 \u041f\u041e\u0412\u0415\u0427\u0415 [&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":[10650],"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\/2025, \u0433\u043e\u0434\u0438\u043d\u0430 LXVIII - \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:\/\/strategies.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-1-2025-godina-lxviii\/\" \/>\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 1\/2025, \u0433\u043e\u0434\u0438\u043d\u0430 LXVIII - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Applying Delaunay Triangulation in Olympiad Problems Dragomir Grozev, Nevena Sybeva Institute of Mathematics and Informatics Bulgarian Academy of Sciences \u2013 Sofia (Bulgaria) https:\/\/doi.org\/10.53656\/math2025-1-1-app Abstract. 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The construction of the triangulation described here has not been encountered by the authors in the known literature&#8230; \u0412\u0418\u0416 \u041f\u041e\u0412\u0415\u0427\u0415 [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/strategies.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-1-2025-godina-lxviii\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Azbuki55\/\" \/>\n<meta property=\"article:published_time\" content=\"2025-04-04T09:21:03+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-09-17T11:24:18+00:00\" \/>\n<meta name=\"author\" content=\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/strategies.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-1-2025-godina-lxviii\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/strategies.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-1-2025-godina-lxviii\/\"},\"author\":{\"name\":\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\",\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#\/schema\/person\/de220d282eaa494f914ce0fd838645dd\"},\"headline\":\"\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\/2025, \u0433\u043e\u0434\u0438\u043d\u0430 LXVIII\",\"datePublished\":\"2025-04-04T09:21:03+00:00\",\"dateModified\":\"2025-09-17T11:24:18+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/strategies.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-1-2025-godina-lxviii\/\"},\"wordCount\":455,\"publisher\":{\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#organization\"},\"articleSection\":[\"\u0421\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435 \u043d\u0430 \u0441\u043f. \u201c\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u201d, 2025 \u0433.\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/strategies.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-1-2025-godina-lxviii\/\",\"url\":\"https:\/\/strategies.azbuki.bg\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2025-g\/sp-matematika-i-informatika-knizhka-1-2025-godina-lxviii\/\",\"name\":\"\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\/2025, \u0433\u043e\u0434\u0438\u043d\u0430 LXVIII - 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Some fundamental properties of Delaunay triangulation are presented in this article. 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