{"id":86143,"date":"2023-04-29T20:41:25","date_gmt":"2023-04-29T17:41:25","guid":{"rendered":"https:\/\/azbuki.bg\/?p=86143"},"modified":"2025-09-17T13:26:28","modified_gmt":"2025-09-17T10:26:28","slug":"sp-matematika-i-informatika-knizhka-2-2023-godina-lxvi","status":"publish","type":"post","link":"https:\/\/philosophy.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/sp-matematika-i-informatika-knizhka-2-2023-godina-lxvi\/","title":{"rendered":"Mathematics and Informatics, Number 2\/2023, Volume 66"},"content":{"rendered":"<h3>Algorithms for Construction and Enumeration of Closed Knight\u2019s Paths<\/h3>\n<p><strong>Stoyan Kapralov1), Valentin Bakoev2), <\/strong><strong>Kaloyan Kapralov3)<\/strong><br \/>\n<em>1)University of Gabrovo (Bulgaria)<\/em><br \/>\n<em>2)\u201cSt. Cyril and St. Methodius\u201d University of Veliko Tarnovo (Bulgaria)<\/em><br \/>\n<em>3)Sofia (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-2-1-alg\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-2-1-alg<\/a><\/p>\n<p><strong>Abstract.<\/strong> Two algorithms for constructing all closed knight\u2019s paths of lengths up to 16 are presented&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/algorithms-for-construction-and-enumeration-of-closed-knights-paths\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Constructing the Common Perpendicular of Two Skew Lines<\/h3>\n<p><strong>Mitko Kunchev<\/strong><br \/>\n<em>Ruse, Bulgaria<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-2-2-con\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-2-2-con<\/a><\/p>\n<p><strong>Abstract.<\/strong> The article presents a method for constructing the common perpendicular of two skew lines in a given polyhedron...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/postroyavane-na-osta-na-dve-krastosani-pravi\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Dual form of Obtaining Education in the Mathematics Teachers Training System: Employers\u2018 Position<\/h3>\n<p><strong>Roman Vernydub, Oxana Trebenko,<\/strong><br \/>\n<strong>Oleksandr Shkolnyi<\/strong><br \/>\n<em>National Pedagogical Dragomanov University \u2013 Kyiv (Ukraine)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-2-3-dua\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-2-3-dua<\/a><\/p>\n<p><strong>Abstract.<\/strong> In the article, we analyze the survey results on employers\u2019 (administrators of schools and vocational colleges) interest, readiness and opportunity for cooperation in training math teachers in a dual form of education&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/dual-form-of-obtaining-education-in-the-mathematics-teachers-training-system-employers-position\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>The Algorithmic Tasks from the State Graduation Examination in the Profiling Subject of Informatics for 2022<\/h3>\n<p><strong>Krassimir Manev<\/strong><br \/>\n<em>\u201eMathematics and Informatics\u201c<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-2-4-exa\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-2-4-exa<\/a><\/p>\n<p><strong>Abstract.<\/strong> In the academic year 2021\/2022, the State Matriculation Exam (the examination taken at the end of Secondary education to qualify for entry into University) was held for the first time for the students studying the profiling subject \nof Informatics in the Bulgarian secondary school...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/algoritmichnite-zadachi-ot-darzhavniya-zrelosten-izpit-po-profilirashh-predmet-informatika-za-2022-g\/\" 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<p>&nbsp;<\/p>\n<h3>Research on the Impact of Online Learning on Individual Learning Styles<\/h3>\n<p><strong>Yavor Dechev<\/strong><br \/>\n<em>Department Computer Systems and Technology<\/em><br \/>\n<em>Land Forces Faculty\nNational Military University \u201eVassil Levski\u201d<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-2-5-res\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-2-5-res<\/a><\/p>\n<p><strong>Abstract.<\/strong> The COVID-19 pandemic has forced a complete lifestyle change. All educational institutions switched to distance training as swiftly as possible...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/izsledvane-na-vliyanieto-na-onlajn-obuchenieto-varhu-otdelnite-stilove-na-uchene\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Game-based Programming Training for Beginners in the Pygame Zero Environment \u2013 \nSample Assignments with Python Turtle Graphics<\/h3>\n<p><strong>Rositsa Georgieva<\/strong><br \/>\n<em>South-West University \u201eNeofit Rilski\u201c\nBlagoevgrad, Bulgaria<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-2-6-gam\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-2-6-gam<\/a><\/p>\n<p><strong>Abstract.<\/strong> In recent years, an increasing digitalization has been observed in all spheres of life on a global scale. The demand for specialists in the field of ICT requires their preparation to start at school with the study of programming and IT...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/igrovo-bazirano-obuchenie-po-programirane-za-nachinaeshhi-v-rezhim-na-pygame-zero-primerni-zadachi-s-turtle-grafika-na-python\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Web Design Training Approach in High School \nStage of Secondary Profiled Education<\/h3>\n<p><strong>Ivelina Velchev\u0430, Hristo Hristov<\/strong><br \/>\n<em>University of Plovdiv \u201cPaisii Hilendarski\u201d<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-2-7-web\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-2-7-web<\/a><\/p>\n<p><strong>Abstract.<\/strong> The paper examines a learning method in teaching website building technologies to students in a learning environment where a role-playing game from the practice of a software company is simulated...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/podhod-na-profilirano-obuchenie-po-ueb-dizajn-v-gimnazialen-etap-na-srednoto-obrazovanie\/\" target=\"_blank\" rel=\"noopener\">SEE MORE<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Algorithms for Construction and Enumeration of Closed Knight\u2019s Paths Stoyan Kapralov1), Valentin Bakoev2), Kaloyan Kapralov3) 1)University of Gabrovo (Bulgaria) 2)\u201cSt. Cyril and St. Methodius\u201d University of Veliko Tarnovo (Bulgaria) 3)Sofia (Bulgaria) https:\/\/doi.org\/10.53656\/math2023-2-1-alg Abstract. Two algorithms for constructing all closed knight\u2019s paths of lengths up to 16 are presented&#8230; \u0412\u0418\u0416 \u041f\u041e\u0412\u0415\u0427\u0415 &nbsp; &nbsp; &nbsp; &nbsp; \u041f\u043e\u0441\u0442\u0440\u043e\u044f\u0432\u0430\u043d\u0435 [&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":"0","post_reading_time_wpm":"300","show_zoom_button":"0","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 2\/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:\/\/press.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/sp-matematika-i-informatika-knizhka-2-2023-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 2\/2023, \u0433\u043e\u0434\u0438\u043d\u0430 LXVI - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Algorithms for Construction and Enumeration of Closed Knight\u2019s Paths Stoyan Kapralov1), Valentin Bakoev2), Kaloyan Kapralov3) 1)University of Gabrovo (Bulgaria) 2)\u201cSt. Cyril and St. Methodius\u201d University of Veliko Tarnovo (Bulgaria) 3)Sofia (Bulgaria) https:\/\/doi.org\/10.53656\/math2023-2-1-alg Abstract. Two algorithms for constructing all closed knight\u2019s paths of lengths up to 16 are presented&#8230; \u0412\u0418\u0416 \u041f\u041e\u0412\u0415\u0427\u0415 &nbsp; &nbsp; &nbsp; &nbsp; \u041f\u043e\u0441\u0442\u0440\u043e\u044f\u0432\u0430\u043d\u0435 [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/press.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/sp-matematika-i-informatika-knizhka-2-2023-godina-lxvi\/\" \/>\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=\"2023-04-29T17:41:25+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-09-17T10:26:28+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:\/\/press.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/sp-matematika-i-informatika-knizhka-2-2023-godina-lxvi\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/press.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/sp-matematika-i-informatika-knizhka-2-2023-godina-lxvi\/\"},\"author\":{\"name\":\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\",\"@id\":\"https:\/\/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 2\/2023, \u0433\u043e\u0434\u0438\u043d\u0430 LXVI\",\"datePublished\":\"2023-04-29T17:41:25+00:00\",\"dateModified\":\"2025-09-17T10:26:28+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/press.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/sp-matematika-i-informatika-knizhka-2-2023-godina-lxvi\/\"},\"wordCount\":427,\"publisher\":{\"@id\":\"https:\/\/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, 2023 \u0433.\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/press.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/sp-matematika-i-informatika-knizhka-2-2023-godina-lxvi\/\",\"url\":\"https:\/\/press.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2023-g\/sp-matematika-i-informatika-knizhka-2-2023-godina-lxvi\/\",\"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 2\/2023, \u0433\u043e\u0434\u0438\u043d\u0430 LXVI - 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