{"id":129625,"date":"2024-07-02T15:39:25","date_gmt":"2024-07-02T12:39:25","guid":{"rendered":"https:\/\/azbuki.bg\/?p=129625"},"modified":"2025-09-17T14:07:58","modified_gmt":"2025-09-17T11:07:58","slug":"sp-matematika-i-informatika-knizhka-3-2024-godina-lxvii","status":"publish","type":"post","link":"https:\/\/philosophy.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2024-g\/sp-matematika-i-informatika-knizhka-3-2024-godina-lxvii\/","title":{"rendered":"Mathematics and Informatics, Number 3\/2024, Volume 67"},"content":{"rendered":"

Lexical Representation of Dense Numerical Vectors: Introducing LangVec<\/h3>\n

Simeon Emanuilov, Aleksandar Dimov<\/strong>
\nSofia University \u201cSt. Kliment Ohridski\u201d (Bulgaria)<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2024-3-1-lex<\/a><\/p>\n

Abstract.<\/strong> High-dimensional numerical vectors are widely used in machine learning for searching and indexing data. However, it is often difficult for users to interpret their meaning…<\/p>\n

SEE MORE<\/a><\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

Distances between Remarkable Points and Inequalities in a Convex Quadrilateral<\/h3>\n

Yordan Tabov 1), Stanislav Stefanov 2),<\/strong>
\nKrasimir Kanchev 3), Haim Haimov<\/strong>
\n1) Institute of Mathematics and Informatics,<\/em>
\nBulgarian Academy of Sciences<\/em>
\n2) University of Architecture, Civil Engineering and Geodesy<\/em>
\n3) University of Transport \u201cTodor Kableshkov\u201d<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2024-3-2-int<\/a><\/p>\n

Abstract.<\/strong> In this article, using the formulas derived in (Nenkov 2019) and (Nenkov 2022) for the distances from some remarkable points in the quadrilateral to its vertices and to the midpoints of its sides and diagonals...<\/p>\n

SEE MORE<\/a><\/p>\n

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 <\/p>\n

 <\/p>\n

Development of Digital Competencies in the Compulsory Education in Information Technology in Secondary School<\/h3>\n

Temenuzhka Zafirova-Malcheva,<\/strong>
\nNikolina Nikolova, Pencho Mihnev<\/strong>
\nSofia University<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2024-3-3-dev<\/a><\/p>\n

Abstract.<\/strong> The article presents the second part of a study that aims to identify the need for updating the curriculum and learning content of Computer Modelling and Information Technology (CMIT) in the lower secondary stage (grades 5 \u2013 7) and Information Technology (IT) in the upper secondary stage (grades 8 \u2013 10) of education in\nBulgaria...<\/p>\n

SEE MORE<\/a><\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

Using AI to Improve Answer Evaluation in Automated Exams<\/h3>\n

Georgi Cholakov, Asya Stoyanova-Doycheva<\/strong>
\nUniversity of Plovdiv \u201cPaisii Hilendarski\u201d (Bulgaria)<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2024-3-4-imp<\/a><\/p>\n

Abstract.<\/strong> The objective of the research is to enhance the functionality of the Evaluator software agent within the Distributed eLearning Center (DeLC), a platform providing extensive support for e-learning activities…<\/p>\n

SEE MORE<\/a><\/p>\n

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Program Implementation of the Game \u2018Combination Nine\u2019<\/h3>\n

Georgi Gachev<\/strong>
\nInstitute of Mathematics and Informatics,<\/em>
\nBulgarian Academy of Sciences<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2024-3-5-int<\/a><\/p>\n

Abstract.<\/strong> The article presents the mathematical game \u2018Combination Nine\u2019. The game requires the numbers 1 to 9 to be arranged in the nine corner points of a 2 \u00d7 2 square grid in a way that the sum of the numbers in the four corners of each grid cell is equal to the number set inside the cell...<\/p>\n

SEE MORE<\/a><\/p>\n

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 <\/p>\n

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Development of Digital and Algorithmic Skills for Students using Visual BASIC for Applications<\/h3>\n

Stefka Aneva, Elena Todorova<\/strong>
\nPaisii Hilendarski University of Plovdiv\n(Bulgaria)<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2024-3-6-dev<\/a><\/p>\n

Abstract.<\/strong> This article presents an approach for integrated intersubject collaboration and creative use of already present digital skills of students for processing data in spreadsheets...<\/p>\n

SEE MORE<\/a><\/p>\n

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 <\/p>\n

Double Counting and Fibonacci\nNumbers<\/h3>\n

Ivaylo Kortezov<\/strong>
\nInstitute of Mathematics and Informatics<\/em>
\nBulgarian Academy of Sciences<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/math2024-3-7-dou<\/a><\/p>\n

Abstract.<\/strong> The article proposes a double counting method for proving combinatorial identities involving Fibonacci numbers...<\/p>\n

SEE MORE<\/a><\/p>\n

 <\/p>","protected":false},"excerpt":{"rendered":"

Lexical Representation of Dense Numerical Vectors: Introducing LangVec Simeon Emanuilov, Aleksandar Dimov Sofia University \u201cSt. Kliment Ohridski\u201d (Bulgaria) https:\/\/doi.org\/10.53656\/math2024-3-1-lex Abstract. High-dimensional numerical vectors are widely used in machine learning for searching and indexing data. However, it is often difficult for users to interpret their meaning… \u0412\u0418\u0416 \u041f\u041e\u0412\u0415\u0427\u0415       \u0420\u0430\u0437\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0437\u0430\u0431\u0435\u043b\u0435\u0436\u0438\u0442\u0435\u043b\u043d\u0438 \u0442\u043e\u0447\u043a\u0438 \u0438 […]<\/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":"\n\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 3\/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:\/\/pedagogy.azbuki.bg\/en\/matematics\/sadarzhanie-na-sp-matematika-i-informatika-2024-g\/sp-matematika-i-informatika-knizhka-3-2024-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 3\/2024, \u0433\u043e\u0434\u0438\u043d\u0430 LXVII - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Lexical Representation of Dense Numerical Vectors: Introducing LangVec Simeon Emanuilov, Aleksandar Dimov Sofia University \u201cSt. Kliment Ohridski\u201d (Bulgaria) https:\/\/doi.org\/10.53656\/math2024-3-1-lex Abstract. High-dimensional numerical vectors are widely used in machine learning for searching and indexing data. 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High-dimensional numerical vectors are widely used in machine learning for searching and indexing data. 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