{"id":84470,"date":"2023-02-28T15:28:33","date_gmt":"2023-02-28T12:28:33","guid":{"rendered":"https:\/\/azbuki.bg\/?p=84470"},"modified":"2025-09-17T13:21:13","modified_gmt":"2025-09-17T10:21:13","slug":"sp-matematika-i-informatika-knizhka-1-2023-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-1-2023-godina-lxvi\/","title":{"rendered":"Mathematics and Informatics, Number 1\/2023, Volume 66"},"content":{"rendered":"<h3>A new Formula for the Area of the Quadrilateral (Reading for Grade 7th)<\/h3>\n<p><strong>Jordan Tabov1), Asen Velchev2), <\/strong><br \/>\n<strong>Stanislav Stefanov3), Haim Haimov4)<\/strong><br \/>\n<em>1) Institute of Mathematics and Informatics -Bulgarian Academy of Sciences<\/em><br \/>\n<em>2) Technical University \u2013 Sofia<\/em><br \/>\n<em>3) University of Archtecture, Civil Engineering and Geodesy - Sofia, Bulgaria<\/em><br \/>\n<em>4) 16, Bratya Shkorpil Str. - Varna, Bulgaria<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-1-1-ane\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2023-1-1-ane<\/a><\/p>\n<p><strong>Abstract.<\/strong> Here we derive formula for the area of a quadrilateral with angle 45\u00ba between the diagonals, which is a special case of a more general formula for the area of a quadrilateral (Haimov 2022)...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/nova-formula-za-licze-na-chetiriagalnik-chetivo-za-vii-klas\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>The Power of a Point &#8211; a Vector Perspective<\/h3>\n<p><strong>Boyko Bantchev<\/strong><br \/>\n<em>Institute of Mathematics and Informatics \u2013 Bulgarian Academy of Sciences<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-1-2-the\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2023-1-2-the<\/a><\/p>\n<p><strong>Abstract.<\/strong> Vector algebra is a very effective calculation language for doing geometry. It is expressive and succinct, and tends to foster generality and simplicity&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/the-power-of-a-point-a-vector-perspective\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Formulae for the Areas of Some Kinds of Polygons and its Application in Proving Relations in them<\/h3>\n<p><strong>Jordan Tabov1), Asen Velchev2),<\/strong><br \/>\n<strong>Stanislav Stefanov3), Haim Haimov4)<\/strong><br \/>\n<em>1) Institute of Mathematics and Informatics -Bulgarian Academy of Sciences<\/em><br \/>\n<em>2) Technical University \u2013 Sofia<\/em><br \/>\n<em>3) University of Archtecture, Civil Engineering and Geodesy - Sofia, Bulgaria<\/em><br \/>\n<em>4) 16, Bratya Shkorpil Str. - Varna, Bulgaria<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-1-3-for\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2023-1-3-for<\/a><\/p>\n<p><strong>Abstract.<\/strong> \u0410 new formula for the area of an arbitrary quadrilateral is applied to derive formulae for the areas of some kinds of polygons with any number of sides...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/formuli-za-liczata-na-nyakoi-vidove-mnogoagalniczi-i-prilozhenieto-im-za-dokazvane-na-zavisimosti-v-tyah\/\" target=\"_blank\" rel=\"noopener noreferrer\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Obligations and Requirements for the Qualification and University Education of the Information and Communication Technologies Department Chair in Bulgarian Schools<\/h3>\n<p><strong>Mariyana Nikolova, Neli Kiskinova<\/strong><br \/>\n<em>St. Cyril and St. Methodius University of Veliko Turnovo<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-1-4-obl\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2023-1-4-obl<\/a><\/p>\n<p><strong>Abstract.<\/strong> The article analyzes the structure of a school institution and the place of the position of Information and Communication Technologies Department Chair in educational environments...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/zadalzheniya-i-iziskvaniya-kam-kvalifikacziyata-i-universitetskata-podgotovka-na-rakovoditel-napravlenie-informaczionni-i-komunikaczionni-tehnologii-v-balgarskoto-uchilishhe\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>The Test Tasks from the State Matriculation Examination for the Informatics Profile during the Academic Year 2021\/2022<\/h3>\n<p><strong>Dimitar Atanasov 1), Krassimir Manev 2),<\/strong><br \/>\n<strong>Vesela Stoimenova 3), Ralica Voynova 4)<\/strong><br \/>\n<em>1) Dept. Informatics, New Bulgarian University<\/em><br \/>\n<em>2) Journal Mathematics and Informatics<\/em><br \/>\n<em>3) Faculty of Math and Informatics, Sofia University<\/em><br \/>\n<em>4) Ministry of Education and Science<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-1-5-the\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2023-1-5-the<\/a><\/p>\n<p><strong>Abstract.<\/strong> In the academic year 2021\/2022, the first class of Informatics Specialization in Secondary school Informatics graduated and the first State \nMatriculation Examinations were held for the graduates of the specialization...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/testovite-zadachi-ot-darzhavniya-zrelosten-izpit-za-profil-informatika-prez-uchebnata-2021-2022-godina\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Several Opportunities for Implementing the Training in \u201ccomputer modeling and information technologies\u201d in the 7th Grade<\/h3>\n<p><strong>Krasimir Harizanov<\/strong><br \/>\n<em>Konstantin Preslavsky University of Shumen (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-1-6-sev\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2023-1-6-sev<\/a><\/p>\n<p><strong>Abstract.<\/strong> The article discusses some programming environments that can be applied in the 7th grade \u201cComputer Modeling\u201d classes&#8230;<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/several-opportunities-for-implementing-the-training-in-computer-modeling-and-information-technologies-in-the-7th-grade\/\">SEE MORE<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>To the Issue of Publicly Available National Databases Containing Descriptions of Vulnerabilities for Mobile Device Operating Systems<\/h3>\n<p><strong>Stoyan Mechev<\/strong><br \/>\n<em>Nikola Vaptsarov Naval Academy<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-1-7-tot\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2023-1-7-tot<\/a><\/p>\n<p><strong>Abstract.<\/strong> The paper aims to examine publicly available vulnerability databases and their systems for assessing the severity of damage that can be caused by malware targeting mobile devices running Android or iOS...<\/p>\n<p><a class=\"btn btn-default\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/kam-vaprosa-za-publichno-dostapni-naczionalni-bazi-ot-danni-sadarzhashhi-opisaniya-na-uyazvimosti-za-operaczionni-sistemi-za-mobilni-ustrojstva\/\">SEE MORE<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>\u041d\u043e\u0432\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0437\u0430 \u043b\u0438\u0446\u0435 \u043d\u0430 \u0447\u0435\u0442\u0438\u0440\u0438\u044a\u0433\u044a\u043b\u043d\u0438\u043a (\u0447\u0435\u0442\u0438\u0432\u043e \u0437\u0430 VII \u043a\u043b\u0430\u0441) \u0419\u043e\u0440\u0434\u0430\u043d \u0422\u0430\u0431\u043e\u04321), \u0410\u0441\u0435\u043d \u0412\u0435\u043b\u0447\u0435\u04322), \u0421\u0442\u0430\u043d\u0438\u0441\u043b\u0430\u0432 \u0421\u0442\u0435\u0444\u0430\u043d\u043e\u04323), \u0425\u0430\u0438\u043c \u0425\u0430\u0438\u043c\u043e\u04324) 1)\u0418\u043d\u0441\u0442\u0438\u0442\u0443\u0442 \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u043d\u0430 \u0411\u0410\u041d \u2013 \u0421\u043e\u0444\u0438\u044f 2)\u0422\u0435\u0445\u043d\u0438\u0447\u0435\u0441\u043a\u0438 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u2013 \u0421\u043e\u0444\u0438\u044f 3) \u0423\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u043f\u043e \u0430\u0440\u0445\u0438\u0442\u0435\u043a\u0442\u0443\u0440\u0430, \u0441\u0442\u0440\u043e\u0438\u0442\u0435\u043b\u0441\u0442\u0432\u043e \u0438 \u0433\u0435\u043e\u0434\u0435\u0437\u0438\u044f \u2013 \u0421\u043e\u0444\u0438\u044f 4)\u0412\u0430\u0440\u043d\u0430, \u0443\u043b. \u201e\u0411\u0440\u0430\u0442\u044f \u0428\u043a\u043e\u0440\u043f\u0438\u043b\u201c 16 https:\/\/doi.org\/10.53656\/math2023-1-1-ane \u0420\u0435\u0437\u044e\u043c\u0435. \u0412 \u0441\u0442\u0430\u0442\u0438\u044f\u0442\u0430 \u0441\u0435 \u0438\u0437\u0432\u0435\u0436\u0434\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0437\u0430 \u043b\u0438\u0446\u0435 \u043d\u0430 [&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":{"subtitle":"","format":"standard","video":"","gallery":"","source_name":"","source_url":"","via_name":"","via_url":"","override_template":"0","override":[{"single_blog_custom":"","parallax":"0","fullscreen":"0","sidebar":"","second_sidebar":"","sticky_sidebar":"0","share_position":"","share_float_style":"","show_share_counter":"0","show_view_counter":"0","show_featured":"0","show_post_meta":"0","show_post_author":"0","show_post_author_image":"0","show_post_date":"0","post_date_format":"","post_date_format_custom":"","show_post_category":"0","show_post_reading_time":"0","post_reading_time_wpm":"","show_post_tag":"0","show_prev_next_post":"0","show_popup_post":"0","number_popup_post":"1","show_author_box":"0","show_post_related":"0","show_inline_post_related":"0"}],"override_image_size":"0","image_override":[{"single_post_thumbnail_size":"","single_post_gallery_size":""}],"trending_post":"0","trending_post_position":"","trending_post_label":""},"jnews_primary_category":{"id":""}},"categories":[4262],"tags":[],"yoast_head":"<!-- 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