{"id":6493,"date":"2026-05-04T12:51:19","date_gmt":"2026-05-04T09:51:19","guid":{"rendered":"https:\/\/publish.kpi.ua\/?page_id=6493"},"modified":"2026-09-17T20:42:05","modified_gmt":"2026-09-17T17:42:05","slug":"information-technology-and-security","status":"publish","type":"page","link":"https:\/\/publish.kpi.ua\/en\/information-technology-and-security\/","title":{"rendered":"Information Technology and Security"},"content":{"rendered":"<div id=\"fws_6ab77d33d7981\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<div class=\"img-with-aniamtion-wrap center\" data-max-width=\"100%\" data-max-width-mobile=\"default\" data-shadow=\"none\" data-animation=\"none\" >\n      <div class=\"inner\">\n        <div class=\"hover-wrap\"> \n          <div class=\"hover-wrap-inner\">\n            <a href=\"https:\/\/visnykpb.kpi.ua\/\" target=\"_blank\" class=\"center\">\n              <img loading=\"lazy\" decoding=\"async\" class=\"img-with-animation skip-lazy\" data-delay=\"0\" height=\"1222\" width=\"864\" data-animation=\"none\" src=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/cover-information-technology-and-security-journal.jpg\" alt=\"\u041e\u0431\u043a\u043b\u0430\u0434\u0438\u043d\u043a\u0430 \u043d\u0430\u0443\u043a\u043e\u0432\u043e\u0433\u043e \u0436\u0443\u0440\u043d\u0430\u043b\u0443 Information Technology and Security (\u0406\u0421\u0417\u0417\u0406 \u041a\u041f\u0406) \u2014 \u0432\u0438\u0434\u0430\u043d\u043d\u044f Sikorsky Academic Press \u043f\u0440\u043e \u0437\u0430\u0445\u0438\u0441\u0442 \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u0457. Cover of Information Technology and Security journal\" srcset=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/cover-information-technology-and-security-journal.jpg 864w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/cover-information-technology-and-security-journal-640x905.jpg 640w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/cover-information-technology-and-security-journal-768x1086.jpg 768w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/cover-information-technology-and-security-journal-8x12.jpg 8w\" sizes=\"auto, (max-width: 864px) 100vw, 864px\" \/>\n            <\/a>\n          <\/div>\n        <\/div>\n      <\/div>\n      <\/div><a class=\"nectar-button large regular accent-color  regular-button\"  rel=\"nofollow noopener\" role=\"button\" style=\"\" target=\"_blank\" href=\"https:\/\/its.iszzi.kpi.ua\/about\/submissions\" data-color-override=\"false\" data-hover-color-override=\"false\" data-hover-text-color-override=\"#fff\"><span>Submit an article<\/span><\/a><a class=\"nectar-button large see-through accent-color has-icon\"  rel=\"nofollow noopener\" role=\"button\" style=\"\" target=\"_blank\" href=\"https:\/\/its.iszzi.kpi.ua\/issue\/archive\" data-color-override=\"false\" data-hover-color-override=\"false\" data-hover-text-color-override=\"#fff\"><span>Publication Archive<\/span><i  class=\"fa fa-external-link\"><\/i><\/a><div class=\"divider-wrap\" data-alignment=\"default\"><div style=\"margin-top: 12.5px; width: 20%; height: 1px; margin-bottom: 12.5px;\" data-width=\"20%\" data-animate=\"\" data-animation-delay=\"\" data-color=\"default\" class=\"divider-small-border\"><\/div><\/div><h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >website:<\/h3>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p><a href=\"https:\/\/its.iszzi.kpi.ua\/\" target=\"_blank\" rel=\"nofollow noopener\">its.iszzi.kpi.ua<\/a><\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-9 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<h1 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Information Technology and Security<\/h1><div class=\"divider-wrap\" data-alignment=\"default\"><div style=\"margin-top: 12.5px; height: 3px; margin-bottom: 12.5px;\" data-width=\"100%\" data-animate=\"\" data-animation-delay=\"\" data-color=\"default\" class=\"divider-border\"><\/div><\/div><h2 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Focus and Scope<\/h2>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p>The purpose of the scientific journal \u201cInformation Technology and Security\u201d is to disseminate materials from fundamental and applied research and to create a platform for the exchange of ideas and research findings among Ukrainian and international scholars regarding all aspects of the application of modern information technologies in the security and defense sectors, as well as cybersecurity.<\/p>\n<p>The main objectives of this publication are to highlight the challenges associated with the development of information technology in the security and defense sector, specifically:<\/p>\n<ul>\n<li>the development of information systems and technologies;<\/li>\n<li>information and cybersecurity;<\/li>\n<li>cyber protection of critical infrastructure;<\/li>\n<li>information warfare;<\/li>\n<li>countering the use of social engineering methods and techniques;<\/li>\n<li>mathematical and computer modeling;<\/li>\n<li>the application of artificial intelligence systems and technologies in cybersecurity;<\/li>\n<li>information protection in information and telecommunications systems and networks (including personal data protection);<\/li>\n<li>information security management and information security risk management;<\/li>\n<li>training of cybersecurity specialists, etc.<\/li>\n<\/ul>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t<div id=\"fws_6ab77d33d9d1b\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-12 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<h2 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >General information:<\/h2><div id=\"fws_6ab77d33da584\" data-midnight=\"\" data-column-margin=\"default\" class=\"wpb_row vc_row-fluid vc_row inner_row\"  style=\"\"><div class=\"row-bg-wrap\"> <div class=\"row-bg\" ><\/div> <\/div><div class=\"row_col_wrap_12_inner col span_12  left\">\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >ISSN:<\/h3>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p><a href=\"https:\/\/portal.issn.org\/resource\/ISSN\/2518-1033\" target=\"_blank\" rel=\"nofollow noopener\">2518-1033<\/a> (online)<br \/>\n<a href=\"https:\/\/portal.issn.org\/resource\/ISSN\/2411-1031\">2411-1031<\/a> (print)<\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Periodicity:<\/h3>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p>Twice a year<\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Publication fee:<\/h3>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p>Information is being updated<\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p><a href=\"https:\/\/its.iszzi.kpi.ua\/submissions\">Guidelines for Authors<\/a><\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n<\/div><\/div><div class=\"divider-wrap\" data-alignment=\"default\"><div style=\"margin-top: 12.5px; height: 3px; margin-bottom: 12.5px;\" data-width=\"100%\" data-animate=\"\" data-animation-delay=\"\" data-color=\"default\" class=\"divider-border\"><\/div><\/div>\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t<div id=\"fws_6ab77d33dc127\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-8 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<h2 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >About the journal:<\/h2>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p>\u201cInformation Technology and Security\u201d is an international peer-reviewed journal founded by the Institute of Special Communications and Information Protection at Igor Sikorsky Kyiv Polytechnic Institute. The journal publishes original research of significant theoretical and practical importance for the development of information technology. The journal serves as a platform for the exchange of experience among researchers, offering free access to the results of research in the field of modern digital systems.<\/p>\n<p>The editorial board ensures the high quality of submissions through a double-blind peer review process, which allows for an objective assessment of the scientific novelty of each paper. The journal is included in the list of scientific professional publications in Ukraine and indexed in international databases. We strive to expand the presence of domestic research in the global scientific community by ensuring the openness and transparency of the publication process.<\/p>\n<p>Thanks to our partnership with Sikorsky Academic Press, each article is assigned a unique DOI, which ensures reliable indexing and preservation of digital content. We invite authors working on innovative solutions in the IT industry to collaborate with us, ensuring compliance with international ethical standards. Publication in the journal is an opportunity to present your achievements to the professional community at a high level.<\/p>\n\t<\/div>\n<\/div>\n\n\n\n<div id=\"fws_6ab77d33dc990\" data-midnight=\"\" data-column-margin=\"default\" class=\"wpb_row vc_row-fluid vc_row inner_row\"  style=\"\"><div class=\"row-bg-wrap\"> <div class=\"row-bg\" ><\/div> <\/div><div class=\"row_col_wrap_12_inner col span_12  left\">\n\t<div  class=\"vc_col-sm-3 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Indexing:<\/h3>\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-9 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p><a href=\"https:\/\/search.worldcat.org\/search?q=kw%3APublication%3AInformation+Technology+and+Security+AND+au%3Asubach&amp;offset=1\" target=\"_blank\" rel=\"nofollow noopener\">WorldCat<\/a> | <a href=\"https:\/\/scholar.google.com\/scholar?hl=uk&amp;as_sdt=0%2C5&amp;q=Collection%22+Information+Technology+and+Security%22&amp;btnG=\" target=\"_blank\" rel=\"nofollow noopener\">Google Scholar<\/a><\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-4 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<div id=\"fws_6ab77d33dd80b\" data-midnight=\"\" data-column-margin=\"default\" class=\"wpb_row vc_row-fluid vc_row inner_row\"  style=\"\"><div class=\"row-bg-wrap\"> <div class=\"row-bg\" ><\/div> <\/div><div class=\"row_col_wrap_12_inner col span_12  left\">\n\t<div  class=\"vc_col-sm-8 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Editor-in-Chief<\/h3><div class=\"divider-wrap\" data-alignment=\"default\"><div style=\"margin-top: 12.5px; width: 20%; height: 1px; margin-bottom: 12.5px;\" data-width=\"20%\" data-animate=\"\" data-animation-delay=\"\" data-color=\"default\" class=\"divider-small-border\"><\/div><\/div>\n<div class=\"wpb_text_column wpb_content_element\" >\n\t<div class=\"wpb_wrapper\">\n\t\t<p><strong>Igor Yuriyovych Subach<\/strong>, Ph.D. in Engineering, Professor, Institute of Special Communications and Information Protection, National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d.<\/p>\n\t<\/div>\n<\/div>\n\n\n\n\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n\n\t<div  class=\"vc_col-sm-4 wpb_column column_container vc_column_container col child_column no-extra-padding inherit_tablet inherit_phone\"   data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<div class=\"img-with-aniamtion-wrap center custom-size\" data-max-width=\"100%\" data-max-width-mobile=\"default\" data-shadow=\"none\" data-animation=\"none\" >\n      <div class=\"inner\">\n        <div class=\"hover-wrap\"> \n          <div class=\"hover-wrap-inner\">\n            <img loading=\"lazy\" decoding=\"async\" class=\"img-with-animation skip-lazy\" data-delay=\"0\" height=\"160\" width=\"160\" data-animation=\"none\" src=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/155714-160x160.jpg\" alt=\"\" srcset=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/155714-160x160.jpg 160w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/155714-140x140.jpg 140w, https:\/\/publish.kpi.ua\/wp-content\/uploads\/2026\/04\/155714-100x100.jpg 100w\" sizes=\"auto, (max-width: 160px) 100vw, 160px\" \/>\n          <\/div>\n        <\/div>\n      <\/div>\n    <\/div>\n\t\t<\/div> \n\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t<div id=\"fws_6ab77d33deb75\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-12 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<div class=\"divider-wrap\" data-alignment=\"default\"><div style=\"margin-top: 12.5px; height: 3px; margin-bottom: 12.5px;\" data-width=\"100%\" data-animate=\"\" data-animation-delay=\"\" data-color=\"default\" class=\"divider-border\"><\/div><\/div>\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t<div id=\"fws_6ab77d33df3c8\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-12 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t<h2 style=\"text-align: left\" class=\"vc_custom_heading vc_do_custom_heading\" >Popular Articles:<\/h2>\n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>\n\t\t<div id=\"fws_6ab77d33dfbfb\"  data-column-margin=\"default\" data-midnight=\"dark\"  class=\"wpb_row vc_row-fluid vc_row\"  style=\"padding-top: 0px; padding-bottom: 0px; \"><div class=\"row-bg-wrap\" data-bg-animation=\"none\" data-bg-animation-delay=\"\" data-bg-overlay=\"false\"><div class=\"inner-wrap row-bg-layer\" ><div class=\"row-bg viewport-desktop\"  style=\"\"><\/div><\/div><\/div><div class=\"row_col_wrap_12 col span_12 dark left\">\n\t<div  class=\"vc_col-sm-12 wpb_column column_container vc_column_container col no-extra-padding inherit_tablet inherit_phone\"  data-padding-pos=\"all\" data-has-bg-color=\"false\" data-bg-color=\"\" data-bg-opacity=\"1\" data-animation=\"\" data-delay=\"0\" >\n\t\t<div class=\"vc_column-inner\" >\n\t\t\t<div class=\"wpb_wrapper\">\n\t\t\t\t\n    <div class=\"row blog-recent columns-1\" data-style=\"minimal\" data-color-scheme=\"light\" data-remove-post-date=\"\" data-remove-post-author=\"\" data-remove-post-comment-number=\"\" data-remove-post-nectar-love=\"\">\n\n      \n      <div class=\"col span_12 post-6745 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-cqrs tag-event-sourcing-comparative-analysis tag-optimisation-models tag-software-architecture\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/engineering-of-software-systems-based-on-snapshot-centric-cqrs-with-event-sourcing-architecture\/\"  aria-label=\"Engineering of software systems based on snapshot-centric CQRS with event sourcing architecture\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 29.06.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">Engineering of software systems based on snapshot-centric CQRS with event sourcing architecture<\/h3>\n            <\/div>\n            <div class=\"excerpt\">This article introduces \"mCQRS,\" an optimized variation of the Command Query Responsibility Segregation (CQRS) with Event Sourcing architecture. The proposed approach significantly reduces development and maintenance complexity by utilizing aggregate&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n      <div class=\"col span_12 post-6741 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-elektrozmochuvani-variolinzy tag-zsuvy-kardynalnykh-tochok-variolinz tag-kardynalni-tochky-variolinz tag-membranni-variolinzy\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/variolinzy-yak-nerukhomi-elementy-zoom-optychnykh-system\/\"  aria-label=\"Vario lenses as fixed elements of Zoom optical systems\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 22.06.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">Vario lenses as fixed elements of Zoom optical systems<\/h3>\n            <\/div>\n            <div class=\"excerpt\">\u0423 \u0441\u0442\u0430\u0442\u0442\u0456 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0443\u0454\u0442\u044c\u0441\u044f \u043c\u043e\u0434\u0435\u0440\u043d\u0456\u0437\u0430\u0446\u0456\u044f zoom-\u043e\u043f\u0442\u0438\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u0430\u0434\u0430\u043f\u0442\u0438\u0432\u043d\u0438\u0445 \u0432\u0430\u0440\u0456\u043e\u043b\u0456\u043d\u0437. \u0410\u0432\u0442\u043e\u0440\u0438 \u0434\u043e\u0432\u043e\u0434\u044f\u0442\u044c, \u0449\u043e \u0437\u043c\u0456\u043d\u0430 \u043e\u043f\u0442\u0438\u0447\u043d\u043e\u0457 \u0441\u0438\u043b\u0438 \u0442\u0430\u043a\u0438\u0445 \u043b\u0456\u043d\u0437 \u043d\u0435\u043c\u0438\u043d\u0443\u0447\u0435 \u0432\u0438\u043a\u043b\u0438\u043a\u0430\u0454 \u0437\u0441\u0443\u0432 \u0457\u0445\u043d\u0456\u0445 \u043a\u0430\u0440\u0434\u0438\u043d\u0430\u043b\u044c\u043d\u0438\u0445 \u0442\u043e\u0447\u043e\u043a, \u0442\u043e\u043c\u0443 \u0457\u0445 \u043d\u0435 \u043c\u043e\u0436\u043d\u0430 \u0432\u0432\u0430\u0436\u0430\u0442\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n      <div class=\"col span_12 post-6739 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-avtomatyzovani-systemy tag-adaptyvne-keruvannya tag-asfaltobeton tag-zamknena-systema tag-neyronni-merezhi tag-prohnozuvannya-yakosti tag-shtuchnyy-intelekt\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/intelektualna-systema-adaptyvnoho-keruvannya-tekhnolohichnym-protsesom-ukladannya-asfaltobetonu-na-osnovi-neyromerezhevykh-modeley\/\"  aria-label=\"Intelligent system for adaptive control of the technological process of laying asphalt concrete based on neural network models\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 15.06.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">Intelligent system for adaptive control of the technological process of laying asphalt concrete based on neural network models<\/h3>\n            <\/div>\n            <div class=\"excerpt\">\u0423 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u0440\u043e \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043d\u043e\u0432\u0456\u0442\u043d\u044c\u043e\u0457 \u0456\u043d\u0442\u0435\u043b\u0435\u043a\u0442\u0443\u0430\u043b\u044c\u043d\u043e\u0457 \u0441\u0438\u0441\u0442\u0435\u043c\u0438 \u0430\u0434\u0430\u043f\u0442\u0438\u0432\u043d\u043e\u0433\u043e \u043a\u0435\u0440\u0443\u0432\u0430\u043d\u043d\u044f \u043f\u0440\u043e\u0446\u0435\u0441\u043e\u043c \u0443\u043a\u043b\u0430\u0434\u0430\u043d\u043d\u044f \u0430\u0441\u0444\u0430\u043b\u044c\u0442\u043e\u0431\u0435\u0442\u043e\u043d\u0443. \u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u043c\u0435\u0442\u043e\u0434\u0456\u0432 \u043c\u0430\u0448\u0438\u043d\u043d\u043e\u0433\u043e \u043d\u0430\u0432\u0447\u0430\u043d\u043d\u044f \u0434\u043e\u0437\u0432\u043e\u043b\u044f\u0454 \u043f\u0440\u043e\u0430\u043a\u0442\u0438\u0432\u043d\u043e \u043c\u0456\u043d\u0456\u043c\u0456\u0437\u0443\u0432\u0430\u0442\u0438 \u0432\u043f\u043b\u0438\u0432 \u043f\u043e\u0433\u043e\u0434\u043d\u0438\u0445 \u0444\u0430\u043a\u0442\u043e\u0440\u0456\u0432 \u043d\u0430 \u044f\u043a\u0456\u0441\u0442\u044c \u0434\u043e\u0440\u043e\u0436\u043d\u044c\u043e\u0433\u043e \u043f\u043e\u043a\u0440\u0438\u0442\u0442\u044f \u0442\u0430 \u0435\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e \u0437\u0430\u043f\u043e\u0431\u0456\u0433\u0430\u0442\u0438 \u043f\u043e\u044f\u0432\u0456&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n      <div class=\"col span_12 post-6735 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-dynamichnist tag-entropiyna-strukturovanist tag-entropiya tag-matrytsya-sumizhnosti tag-multysharova-merezha-vzayemodiy tag-polikomponentnist tag-skladna-systema\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/metod-analizu-polikomponentnykh-skladnykh-system-na-osnovi-bahatovymirnykh-matryts-sumizhnosti-ta-entropiynykh-vidnoshen-mizh-komponentamy-systemy\/\"  aria-label=\"A  method  for  analyzing  multicomponent  complex  systems  based  on  multidimensional  matrices of adjacency and entropy relations between system components\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 10.06.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">A  method  for  analyzing  multicomponent  complex  systems  based  on  multidimensional  matrices of adjacency and entropy relations between system components<\/h3>\n            <\/div>\n            <div class=\"excerpt\">\u0423 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043e \u043d\u043e\u0432\u0438\u0439 \u043c\u0435\u0442\u043e\u0434 \u0430\u043d\u0430\u043b\u0456\u0437\u0443 \u0441\u043a\u043b\u0430\u0434\u043d\u0438\u0445 \u043f\u043e\u043b\u0456\u043a\u043e\u043c\u043f\u043e\u043d\u0435\u043d\u0442\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0457\u0445\u043d\u0456\u0445 \u0442\u0435\u0440\u043c\u043e\u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0438\u0445 \u0442\u0430 \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u0439\u043d\u0438\u0445 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a. \u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u0431\u0430\u0433\u0430\u0442\u043e\u0432\u0438\u043c\u0456\u0440\u043d\u0438\u0445 \u0435\u043d\u0442\u0440\u043e\u043f\u0456\u0439\u043d\u0438\u0445 \u043c\u0430\u0442\u0440\u0438\u0446\u044c \u0441\u0443\u043c\u0456\u0436\u043d\u043e\u0441\u0442\u0456 \u0434\u043e\u0437\u0432\u043e\u043b\u044f\u0454 \u043a\u043e\u043c\u043f\u043b\u0435\u043a\u0441\u043d\u043e \u043e\u0446\u0456\u043d\u044e\u0432\u0430\u0442\u0438 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u043d\u0456, \u0444\u0456\u0437\u0438\u043a\u043e-\u0445\u0456\u043c\u0456\u0447\u043d\u0456 \u0442\u0430 \u0456\u043d\u0448\u0456 \u0432\u043b\u0430\u0441\u0442\u0438\u0432\u043e\u0441\u0442\u0456 \u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0438\u0445&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n      <div class=\"col span_12 post-6733 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-bankruptcy-prediction tag-dynamic-modeling tag-early-warning-system tag-financial-ratios tag-l2-regularization tag-logistic-regression tag-ukrainian-building-sector\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/dynamic-logistic-regression-modeling-for-bankruptcy-risk-prediction-in-ukrainian-building-sector\/\"  aria-label=\"Dynamic logistic regression modeling for bankruptcy risk prediction in Ukrainian building sector\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 09.06.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">Dynamic logistic regression modeling for bankruptcy risk prediction in Ukrainian building sector<\/h3>\n            <\/div>\n            <div class=\"excerpt\">This paper presents an advanced dynamic logistic regression model for forecasting financial distress and potential bankruptcy in Ukrainian building-materials companies. The proposed approach uses lagged financial indicators to significantly improve&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n      <div class=\"col span_12 post-6724 post type-post status-publish format-standard category-spetsialnist-113 category-spetsialnist-121 category-spetsialnist-122 category-spetsialnist-123 category-spetsialnist-124 category-spetsialnist-131 category-spetsialnist-132 category-spetsialnist-133 category-spetsialnist-134 category-spetsialnist-141 category-spetsialnist-142 category-spetsialnist-143 category-spetsialnist-144 category-151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi category-spetsialnist-161 category-spetsialnist-171 category-spetsialnist-172 tag-balkovyy-korotatsiynyy-splayn tag-heometrychne-modelyuvannya tag-dyferentsialni-rivnyannya tag-identyfikatsiya-kutiv tag-kutovi-tochky tag-lokalna-intehralna-robota tag-neparametrychne-zhladzhuvannya\" >\n\n                    \n            <a href=\"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/\"  aria-label=\"Method for detecting corner points in images using a corotational beam spline\"><\/a>\n            <div class=\"post-header\">\n              <span class=\"meta\"> <span> 27.05.2026<\/span> in <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-113\/\">0541 Mathematics \/ 0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-121\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-122\/\">0613 Software and applications development and analysis<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-123\/\">0612 Database and network design and administration \/ 0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-124\/\">0688 Inter-disciplinary programmes and qualifications involving Information and Communication Technologies (ICTs)<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-131\/\">0715 Mechanics and metal trades<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-132\/\">0588 Inter-disciplinary programmes and qualifications involving natural sciences, mathematics and statistics \/ 0715 Mechanics and metal trades \/ 0788 Inter-disciplinary programmes and qualifications involving engineering, manufacturing and construction<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-133\/\">0715 Mechanics and metal trades \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-134\/\">0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-141\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-142\/\">0713 Electricity and energy \/ 0716 Motor vehicles, ships and aircraft<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-143\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-144\/\">0713 Electricity and energy<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/151-avtomatyzatsiya-ta-kompyuterno-intehrovani-tekhnolohiyi\/\">151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-161\/\">0711 Chemical engineering and processes<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-171\/\">0714 Electronics and automation<\/a>, <a href=\"https:\/\/publish.kpi.ua\/en\/category\/spetsialnist-172\/\">0714 Electronics and automation<\/a> <\/span>\n              <h3 class=\"title\">Method for detecting corner points in images using a corotational beam spline<\/h3>\n            <\/div>\n            <div class=\"excerpt\">\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443&hellip;<\/div>            <span>Read More <i class=\"icon-button-arrow\"><\/i><\/span>\n\n          \n      <\/div><!--\/col-->\n\n      \n    <\/div><!--\/blog-recent-->\n\n  \n\t\t\t<\/div> \n\t\t<\/div>\n\t<\/div> \n<\/div><\/div>","protected":false},"excerpt":{"rendered":"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443...","protected":false},"author":5,"featured_media":6492,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[120,121,122,226,228,229,235,116],"class_list":["post-6493","page","type-page","status-publish","has-post-thumbnail","category-spetsialnist-122","category-spetsialnist-125","category-spetsialnist-172","category-spec-2026-f3","category-spec-2026-f5","category-spec-2026-f6","category-spec-2026-g5","category-fakhove-vydannia-katehoriia-b"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.1.1\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e - journal; Igor Sikorsky KPI; publish; academic press\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e\" \/>\n\t\t<meta property=\"og:description\" content=\"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png\" \/>\n\t\t<meta property=\"og:image:width\" content=\"2300\" \/>\n\t\t<meta property=\"og:image:height\" content=\"500\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2026-05-27T10:57:10+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2026-06-02T00:14:40+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n\t\t<meta name=\"twitter:title\" content=\"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e\" \/>\n\t\t<meta name=\"twitter:description\" content=\"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.\" \/>\n\t\t<meta name=\"twitter:image\" content=\"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"BlogPosting\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#blogposting\",\"name\":\"\\u041c\\u0435\\u0442\\u043e\\u0434 \\u0432\\u0438\\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u043d\\u0430 \\u0437\\u043e\\u0431\\u0440\\u0430\\u0436\\u0435\\u043d\\u043d\\u044f\\u0445 \\u0437\\u0430 \\u0434\\u043e\\u043f\\u043e\\u043c\\u043e\\u0433\\u043e\\u044e \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u043e\\u0433\\u043e \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u043e\\u0433\\u043e \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d\\u0430 - Sikorsky Academic Press \\u2022 \\u0412\\u0438\\u0434\\u0430\\u0432\\u043d\\u0438\\u0446\\u0442\\u0432\\u043e \\u041a\\u041f\\u0406 \\u0456\\u043c. \\u0406\\u0433\\u043e\\u0440\\u044f \\u0421\\u0456\\u043a\\u043e\\u0440\\u0441\\u044c\\u043a\\u043e\\u0433\\u043e\",\"headline\":\"\\u041c\\u0435\\u0442\\u043e\\u0434 \\u0432\\u0438\\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u043d\\u0430 \\u0437\\u043e\\u0431\\u0440\\u0430\\u0436\\u0435\\u043d\\u043d\\u044f\\u0445 \\u0437\\u0430 \\u0434\\u043e\\u043f\\u043e\\u043c\\u043e\\u0433\\u043e\\u044e \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u043e\\u0433\\u043e \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u043e\\u0433\\u043e \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d\\u0430\",\"author\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/author\\\/lytvyn-p-p\\\/#author\"},\"publisher\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/#organization\"},\"datePublished\":\"2026-05-27T13:57:10+03:00\",\"dateModified\":\"2026-06-02T03:14:40+03:00\",\"inLanguage\":\"en-US\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#webpage\"},\"isPartOf\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#webpage\"},\"articleSection\":\"113 \\u041f\\u0440\\u0438\\u043a\\u043b\\u0430\\u0434\\u043d\\u0430 \\u043c\\u0430\\u0442\\u0435\\u043c\\u0430\\u0442\\u0438\\u043a\\u0430, 121 \\u0406\\u043d\\u0436\\u0435\\u043d\\u0435\\u0440\\u0456\\u044f \\u043f\\u0440\\u043e\\u0433\\u0440\\u0430\\u043c\\u043d\\u043e\\u0433\\u043e \\u0437\\u0430\\u0431\\u0435\\u0437\\u043f\\u0435\\u0447\\u0435\\u043d\\u043d\\u044f, 122 \\u041a\\u043e\\u043c\\u043f'\\u044e\\u0442\\u0435\\u0440\\u043d\\u0456 \\u043d\\u0430\\u0443\\u043a\\u0438, 123 \\u041a\\u043e\\u043c\\u043f'\\u044e\\u0442\\u0435\\u0440\\u043d\\u0430 \\u0456\\u043d\\u0436\\u0435\\u043d\\u0435\\u0440\\u0456\\u044f, 124 \\u0421\\u0438\\u0441\\u0442\\u0435\\u043c\\u043d\\u0438\\u0439 \\u0430\\u043d\\u0430\\u043b\\u0456\\u0437, 131 \\u041f\\u0440\\u0438\\u043a\\u043b\\u0430\\u0434\\u043d\\u0430 \\u043c\\u0435\\u0445\\u0430\\u043d\\u0456\\u043a\\u0430, 132 \\u041c\\u0430\\u0442\\u0435\\u0440\\u0456\\u0430\\u043b\\u043e\\u0437\\u043d\\u0430\\u0432\\u0441\\u0442\\u0432\\u043e, 133 \\u0413\\u0430\\u043b\\u0443\\u0437\\u0435\\u0432\\u0435 \\u043c\\u0430\\u0448\\u0438\\u043d\\u043e\\u0431\\u0443\\u0434\\u0443\\u0432\\u0430\\u043d\\u043d\\u044f, 134 \\u0410\\u0432\\u0456\\u0430\\u0446\\u0456\\u0439\\u043d\\u0430 \\u0442\\u0430 \\u0440\\u0430\\u043a\\u0435\\u0442\\u043d\\u043e-\\u043a\\u043e\\u0441\\u043c\\u0456\\u0447\\u043d\\u0430 \\u0442\\u0435\\u0445\\u043d\\u0456\\u043a\\u0430, 141 \\u0415\\u043b\\u0435\\u043a\\u0442\\u0440\\u043e\\u0435\\u043d\\u0435\\u0440\\u0433\\u0435\\u0442\\u0438\\u043a\\u0430, \\u0435\\u043b\\u0435\\u043a\\u0442\\u0440\\u043e\\u0442\\u0435\\u0445\\u043d\\u0456\\u043a\\u0430 \\u0442\\u0430 \\u0435\\u043b\\u0435\\u043a\\u0442\\u0440\\u043e\\u043c\\u0435\\u0445\\u0430\\u043d\\u0456\\u043a\\u0430, 142 \\u0415\\u043d\\u0435\\u0440\\u0433\\u0435\\u0442\\u0438\\u0447\\u043d\\u0435 \\u043c\\u0430\\u0448\\u0438\\u043d\\u043e\\u0431\\u0443\\u0434\\u0443\\u0432\\u0430\\u043d\\u043d\\u044f, 143 \\u0410\\u0442\\u043e\\u043c\\u043d\\u0430 \\u0435\\u043d\\u0435\\u0440\\u0433\\u0435\\u0442\\u0438\\u043a\\u0430, 144 \\u0422\\u0435\\u043f\\u043b\\u043e\\u0435\\u043d\\u0435\\u0440\\u0433\\u0435\\u0442\\u0438\\u043a\\u0430, 151 \\u0410\\u0432\\u0442\\u043e\\u043c\\u0430\\u0442\\u0438\\u0437\\u0430\\u0446\\u0456\\u044f \\u0442\\u0430 \\u043a\\u043e\\u043c\\u043f'\\u044e\\u0442\\u0435\\u0440\\u043d\\u043e-\\u0456\\u043d\\u0442\\u0435\\u0433\\u0440\\u043e\\u0432\\u0430\\u043d\\u0456 \\u0442\\u0435\\u0445\\u043d\\u043e\\u043b\\u043e\\u0433\\u0456\\u0457, 161 \\u0425\\u0456\\u043c\\u0456\\u0447\\u043d\\u0456 \\u0442\\u0435\\u0445\\u043d\\u043e\\u043b\\u043e\\u0433\\u0456\\u0457 \\u0442\\u0430 \\u0456\\u043d\\u0436\\u0435\\u043d\\u0435\\u0440\\u0456\\u044f, 171 \\u0415\\u043b\\u0435\\u043a\\u0442\\u0440\\u043e\\u043d\\u0456\\u043a\\u0430, 172 \\u0415\\u043b\\u0435\\u043a\\u0442\\u0440\\u043e\\u043d\\u043d\\u0456 \\u043a\\u043e\\u043c\\u0443\\u043d\\u0456\\u043a\\u0430\\u0446\\u0456\\u0457 \\u0442\\u0430 \\u0440\\u0430\\u0434\\u0456\\u043e\\u0442\\u0435\\u0445\\u043d\\u0456\\u043a\\u0430, \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u0438\\u0439 \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u0438\\u0439 \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d, \\u0433\\u0435\\u043e\\u043c\\u0435\\u0442\\u0440\\u0438\\u0447\\u043d\\u0435 \\u043c\\u043e\\u0434\\u0435\\u043b\\u044e\\u0432\\u0430\\u043d\\u043d\\u044f, \\u0434\\u0438\\u0444\\u0435\\u0440\\u0435\\u043d\\u0446\\u0456\\u0430\\u043b\\u044c\\u043d\\u0456 \\u0440\\u0456\\u0432\\u043d\\u044f\\u043d\\u043d\\u044f, \\u0456\\u0434\\u0435\\u043d\\u0442\\u0438\\u0444\\u0456\\u043a\\u0430\\u0446\\u0456\\u044f \\u043a\\u0443\\u0442\\u0456\\u0432, \\u043a\\u0443\\u0442\\u043e\\u0432\\u0456 \\u0442\\u043e\\u0447\\u043a\\u0438, \\u043b\\u043e\\u043a\\u0430\\u043b\\u044c\\u043d\\u0430 \\u0456\\u043d\\u0442\\u0435\\u0433\\u0440\\u0430\\u043b\\u044c\\u043d\\u0430 \\u0440\\u043e\\u0431\\u043e\\u0442\\u0430, \\u043d\\u0435\\u043f\\u0430\\u0440\\u0430\\u043c\\u0435\\u0442\\u0440\\u0438\\u0447\\u043d\\u0435 \\u0437\\u0433\\u043b\\u0430\\u0434\\u0436\\u0443\\u0432\\u0430\\u043d\\u043d\\u044f\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en#listItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/publish.kpi.ua\\\/en\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/information-technology-and-security\\\/#listItem\",\"name\":\"Information Technology and Security\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/information-technology-and-security\\\/#listItem\",\"position\":2,\"name\":\"Information Technology and Security\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en#listItem\",\"name\":\"Home\"}}]},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/#organization\",\"name\":\"Sikorsky Academic Press \\u2022 \\u0412\\u0438\\u0434\\u0430\\u0432\\u043d\\u0438\\u0446\\u0442\\u0432\\u043e \\u041a\\u041f\\u0406 \\u0456\\u043c. \\u0406\\u0433\\u043e\\u0440\\u044f \\u0421\\u0456\\u043a\\u043e\\u0440\\u0441\\u044c\\u043a\\u043e\\u0433\\u043e\",\"description\":\"journal; Igor Sikorsky KPI; publish; academic press\",\"url\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/author\\\/lytvyn-p-p\\\/#author\",\"url\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/author\\\/lytvyn-p-p\\\/\",\"name\":\"lytvyn.p.p\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#authorImage\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/4887ddec035cdc2664e9be519fe4e7a2be206e08ca472c55c1a6be8de6701816?s=96&d=mm&r=g\",\"width\":96,\"height\":96,\"caption\":\"lytvyn.p.p\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#webpage\",\"url\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/\",\"name\":\"\\u041c\\u0435\\u0442\\u043e\\u0434 \\u0432\\u0438\\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u043d\\u0430 \\u0437\\u043e\\u0431\\u0440\\u0430\\u0436\\u0435\\u043d\\u043d\\u044f\\u0445 \\u0437\\u0430 \\u0434\\u043e\\u043f\\u043e\\u043c\\u043e\\u0433\\u043e\\u044e \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u043e\\u0433\\u043e \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u043e\\u0433\\u043e \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d\\u0430 - Sikorsky Academic Press \\u2022 \\u0412\\u0438\\u0434\\u0430\\u0432\\u043d\\u0438\\u0446\\u0442\\u0432\\u043e \\u041a\\u041f\\u0406 \\u0456\\u043c. \\u0406\\u0433\\u043e\\u0440\\u044f \\u0421\\u0456\\u043a\\u043e\\u0440\\u0441\\u044c\\u043a\\u043e\\u0433\\u043e\",\"description\":\"\\u0421\\u0442\\u0430\\u0442\\u0442\\u044f \\u043f\\u0440\\u043e\\u043f\\u043e\\u043d\\u0443\\u0454 \\u0440\\u043e\\u0437\\u0440\\u043e\\u0431\\u043a\\u0443 \\u043c\\u0435\\u0442\\u043e\\u0434\\u0443 \\u0432\\u0438\\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u0437\\u0430 \\u0434\\u043e\\u043f\\u043e\\u043c\\u043e\\u0433\\u043e\\u044e \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u043e\\u0433\\u043e \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u043e\\u0433\\u043e \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d\\u0430. \\u041f\\u043e\\u0448\\u0443\\u043a \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u043d\\u0430 \\u0437\\u043e\\u0431\\u0440\\u0430\\u0436\\u0435\\u043d\\u043d\\u044f\\u0445 \\u043c\\u0430\\u0454 \\u0432\\u0435\\u043b\\u0438\\u043a\\u0435 \\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u0434\\u043b\\u044f \\u0456\\u0434\\u0435\\u043d\\u0442\\u0438\\u0444\\u0456\\u043a\\u0430\\u0446\\u0456\\u0457 \\u043e\\u0431\\u0440\\u0430\\u0437\\u0456\\u0432, \\u0442\\u0430 \\u043c\\u0430\\u0454 \\u0431\\u0430\\u0433\\u0430\\u0442\\u043e \\u0441\\u0444\\u0435\\u0440 \\u0437\\u0430\\u0441\\u0442\\u043e\\u0441\\u0443\\u0432\\u0430\\u043d\\u043d\\u044f \\u0432 \\u043a\\u043e\\u043c\\u043f\\u2019\\u044e\\u0442\\u0435\\u0440\\u043d\\u043e\\u043c\\u0443 \\u0437\\u043e\\u0440\\u0456 \\u0442\\u0430 \\u0440\\u043e\\u0437\\u043f\\u0456\\u0437\\u043d\\u0430\\u0432\\u0430\\u043d\\u043d\\u0456 \\u043e\\u0431\\u0440\\u0430\\u0437\\u0456\\u0432. \\u0417\\u0430\\u0437\\u0432\\u0438\\u0447\\u0430\\u0439 \\u0434\\u043b\\u044f \\u0446\\u044c\\u043e\\u0433\\u043e \\u0432\\u0438\\u043a\\u043e\\u0440\\u0438\\u0441\\u0442\\u043e\\u0432\\u0443\\u044e\\u0442\\u044c \\u0433\\u0435\\u043e\\u043c\\u0435\\u0442\\u0440\\u0438\\u0447\\u043d\\u0438\\u0439 \\u0430\\u043d\\u0430\\u043b\\u0456\\u0437 \\u0447\\u043e\\u0440\\u043d\\u043e-\\u0431\\u0456\\u043b\\u0438\\u0445 \\u043a\\u043e\\u043d\\u0442\\u0443\\u0440\\u0456\\u0432, \\u0434\\u043e \\u044f\\u043a\\u0438\\u0445 \\u043f\\u043e\\u0442\\u0456\\u043c \\u0437\\u0430\\u0441\\u0442\\u043e\\u0441\\u043e\\u0432\\u0443\\u044e\\u0442\\u044c \\u0433\\u0430\\u0443\\u0441\\u0456\\u0432\\u0441\\u044c\\u043a\\u0435 \\u0437\\u0433\\u043b\\u0430\\u0434\\u0436\\u0443\\u0432\\u0430\\u043d\\u043d\\u044f \\u0434\\u043b\\u044f \\u0432\\u0438\\u044f\\u0432\\u043b\\u0435\\u043d\\u043d\\u044f \\u0442\\u043e\\u0447\\u043e\\u043a \\u043d\\u0430\\u0439\\u0431\\u0456\\u043b\\u044c\\u0448\\u043e\\u0457 \\u043a\\u0440\\u0438\\u0432\\u0438\\u0437\\u043d\\u0438. \\u041f\\u043e\\u0442\\u0456\\u043c \\u0434\\u043e\\u0421\\u0442\\u0430\\u0442\\u0442\\u044f \\u043f\\u0440\\u043e\\u043f\\u043e\\u043d\\u0443\\u0454 \\u0440\\u043e\\u0437\\u0440\\u043e\\u0431\\u043a\\u0443 \\u043c\\u0435\\u0442\\u043e\\u0434\\u0443 \\u0432\\u0438\\u0437\\u043d\\u0430\\u0447\\u0435\\u043d\\u043d\\u044f \\u043a\\u0443\\u0442\\u043e\\u0432\\u0438\\u0445 \\u0442\\u043e\\u0447\\u043e\\u043a \\u0437\\u0430 \\u0434\\u043e\\u043f\\u043e\\u043c\\u043e\\u0433\\u043e\\u044e \\u043a\\u043e\\u0440\\u043e\\u0442\\u0430\\u0446\\u0456\\u0439\\u043d\\u043e\\u0433\\u043e \\u0431\\u0430\\u043b\\u043a\\u043e\\u0432\\u043e\\u0433\\u043e \\u0441\\u043f\\u043b\\u0430\\u0439\\u043d\\u0430.\",\"inLanguage\":\"en-US\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/#website\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\\\/#breadcrumblist\"},\"author\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/author\\\/lytvyn-p-p\\\/#author\"},\"creator\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/author\\\/lytvyn-p-p\\\/#author\"},\"datePublished\":\"2026-05-27T13:57:10+03:00\",\"dateModified\":\"2026-06-02T03:14:40+03:00\"},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/#website\",\"url\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/\",\"name\":\"Sikorsky Academic Press \\u2022 \\u0412\\u0438\\u0434\\u0430\\u0432\\u043d\\u0438\\u0446\\u0442\\u0432\\u043e \\u041a\\u041f\\u0406 \\u0456\\u043c. \\u0406\\u0433\\u043e\\u0440\\u044f \\u0421\\u0456\\u043a\\u043e\\u0440\\u0441\\u044c\\u043a\\u043e\\u0433\\u043e\",\"description\":\"journal; Igor Sikorsky KPI; publish; academic press\",\"inLanguage\":\"en-US\",\"publisher\":{\"@id\":\"https:\\\/\\\/publish.kpi.ua\\\/en\\\/#organization\"}}]}\n\t\t<\/script>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","description":"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.","canonical_url":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"BlogPosting","@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#blogposting","name":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","headline":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430","author":{"@id":"https:\/\/publish.kpi.ua\/en\/author\/lytvyn-p-p\/#author"},"publisher":{"@id":"https:\/\/publish.kpi.ua\/en\/#organization"},"datePublished":"2026-05-27T13:57:10+03:00","dateModified":"2026-06-02T03:14:40+03:00","inLanguage":"en-US","mainEntityOfPage":{"@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#webpage"},"isPartOf":{"@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#webpage"},"articleSection":"113 \u041f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430, 121 \u0406\u043d\u0436\u0435\u043d\u0435\u0440\u0456\u044f \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u0433\u043e \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0435\u043d\u043d\u044f, 122 \u041a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u0456 \u043d\u0430\u0443\u043a\u0438, 123 \u041a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u0430 \u0456\u043d\u0436\u0435\u043d\u0435\u0440\u0456\u044f, 124 \u0421\u0438\u0441\u0442\u0435\u043c\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437, 131 \u041f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u0430 \u043c\u0435\u0445\u0430\u043d\u0456\u043a\u0430, 132 \u041c\u0430\u0442\u0435\u0440\u0456\u0430\u043b\u043e\u0437\u043d\u0430\u0432\u0441\u0442\u0432\u043e, 133 \u0413\u0430\u043b\u0443\u0437\u0435\u0432\u0435 \u043c\u0430\u0448\u0438\u043d\u043e\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f, 134 \u0410\u0432\u0456\u0430\u0446\u0456\u0439\u043d\u0430 \u0442\u0430 \u0440\u0430\u043a\u0435\u0442\u043d\u043e-\u043a\u043e\u0441\u043c\u0456\u0447\u043d\u0430 \u0442\u0435\u0445\u043d\u0456\u043a\u0430, 141 \u0415\u043b\u0435\u043a\u0442\u0440\u043e\u0435\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u043a\u0430, \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u0442\u0435\u0445\u043d\u0456\u043a\u0430 \u0442\u0430 \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043c\u0435\u0445\u0430\u043d\u0456\u043a\u0430, 142 \u0415\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u0447\u043d\u0435 \u043c\u0430\u0448\u0438\u043d\u043e\u0431\u0443\u0434\u0443\u0432\u0430\u043d\u043d\u044f, 143 \u0410\u0442\u043e\u043c\u043d\u0430 \u0435\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u043a\u0430, 144 \u0422\u0435\u043f\u043b\u043e\u0435\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u043a\u0430, 151 \u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0456\u044f \u0442\u0430 \u043a\u043e\u043c\u043f'\u044e\u0442\u0435\u0440\u043d\u043e-\u0456\u043d\u0442\u0435\u0433\u0440\u043e\u0432\u0430\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457, 161 \u0425\u0456\u043c\u0456\u0447\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457 \u0442\u0430 \u0456\u043d\u0436\u0435\u043d\u0435\u0440\u0456\u044f, 171 \u0415\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u0456\u043a\u0430, 172 \u0415\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u043d\u0456 \u043a\u043e\u043c\u0443\u043d\u0456\u043a\u0430\u0446\u0456\u0457 \u0442\u0430 \u0440\u0430\u0434\u0456\u043e\u0442\u0435\u0445\u043d\u0456\u043a\u0430, \u0431\u0430\u043b\u043a\u043e\u0432\u0438\u0439 \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u0438\u0439 \u0441\u043f\u043b\u0430\u0439\u043d, \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0435 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f, \u0434\u0438\u0444\u0435\u0440\u0435\u043d\u0446\u0456\u0430\u043b\u044c\u043d\u0456 \u0440\u0456\u0432\u043d\u044f\u043d\u043d\u044f, \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u044f \u043a\u0443\u0442\u0456\u0432, \u043a\u0443\u0442\u043e\u0432\u0456 \u0442\u043e\u0447\u043a\u0438, \u043b\u043e\u043a\u0430\u043b\u044c\u043d\u0430 \u0456\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044c\u043d\u0430 \u0440\u043e\u0431\u043e\u0442\u0430, \u043d\u0435\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f"},{"@type":"BreadcrumbList","@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#breadcrumblist","itemListElement":[{"@type":"ListItem","@id":"https:\/\/publish.kpi.ua\/en#listItem","position":1,"name":"Home","item":"https:\/\/publish.kpi.ua\/en","nextItem":{"@type":"ListItem","@id":"https:\/\/publish.kpi.ua\/en\/information-technology-and-security\/#listItem","name":"Information Technology and Security"}},{"@type":"ListItem","@id":"https:\/\/publish.kpi.ua\/en\/information-technology-and-security\/#listItem","position":2,"name":"Information Technology and Security","previousItem":{"@type":"ListItem","@id":"https:\/\/publish.kpi.ua\/en#listItem","name":"Home"}}]},{"@type":"Organization","@id":"https:\/\/publish.kpi.ua\/en\/#organization","name":"Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","description":"journal; Igor Sikorsky KPI; publish; academic press","url":"https:\/\/publish.kpi.ua\/en\/"},{"@type":"Person","@id":"https:\/\/publish.kpi.ua\/en\/author\/lytvyn-p-p\/#author","url":"https:\/\/publish.kpi.ua\/en\/author\/lytvyn-p-p\/","name":"lytvyn.p.p","image":{"@type":"ImageObject","@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#authorImage","url":"https:\/\/secure.gravatar.com\/avatar\/4887ddec035cdc2664e9be519fe4e7a2be206e08ca472c55c1a6be8de6701816?s=96&d=mm&r=g","width":96,"height":96,"caption":"lytvyn.p.p"}},{"@type":"WebPage","@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#webpage","url":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/","name":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","description":"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.","inLanguage":"en-US","isPartOf":{"@id":"https:\/\/publish.kpi.ua\/en\/#website"},"breadcrumb":{"@id":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/#breadcrumblist"},"author":{"@id":"https:\/\/publish.kpi.ua\/en\/author\/lytvyn-p-p\/#author"},"creator":{"@id":"https:\/\/publish.kpi.ua\/en\/author\/lytvyn-p-p\/#author"},"datePublished":"2026-05-27T13:57:10+03:00","dateModified":"2026-06-02T03:14:40+03:00"},{"@type":"WebSite","@id":"https:\/\/publish.kpi.ua\/en\/#website","url":"https:\/\/publish.kpi.ua\/en\/","name":"Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","description":"journal; Igor Sikorsky KPI; publish; academic press","inLanguage":"en-US","publisher":{"@id":"https:\/\/publish.kpi.ua\/en\/#organization"}}]},"og:locale":"en_US","og:site_name":"Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e - journal; Igor Sikorsky KPI; publish; academic press","og:type":"article","og:title":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","og:description":"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.","og:url":"https:\/\/publish.kpi.ua\/en\/metod-vyznachennya-kutovykh-tochok-na-zobrazhennyakh-za-dopomohoyu-korotatsiynoho-balkovoho-splayna\/","og:image":"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png","og:image:secure_url":"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png","og:image:width":2300,"og:image:height":500,"article:published_time":"2026-05-27T10:57:10+00:00","article:modified_time":"2026-06-02T00:14:40+00:00","twitter:card":"summary_large_image","twitter:title":"\u041c\u0435\u0442\u043e\u0434 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430 - Sikorsky Academic Press \u2022 \u0412\u0438\u0434\u0430\u0432\u043d\u0438\u0446\u0442\u0432\u043e \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e","twitter:description":"\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430. \u041f\u043e\u0448\u0443\u043a \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u043d\u0430 \u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u043d\u044f\u0445 \u043c\u0430\u0454 \u0432\u0435\u043b\u0438\u043a\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u043b\u044f \u0456\u0434\u0435\u043d\u0442\u0438\u0444\u0456\u043a\u0430\u0446\u0456\u0457 \u043e\u0431\u0440\u0430\u0437\u0456\u0432, \u0442\u0430 \u043c\u0430\u0454 \u0431\u0430\u0433\u0430\u0442\u043e \u0441\u0444\u0435\u0440 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432 \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u043e\u043c\u0443 \u0437\u043e\u0440\u0456 \u0442\u0430 \u0440\u043e\u0437\u043f\u0456\u0437\u043d\u0430\u0432\u0430\u043d\u043d\u0456 \u043e\u0431\u0440\u0430\u0437\u0456\u0432. \u0417\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0447\u043e\u0440\u043d\u043e-\u0431\u0456\u043b\u0438\u0445 \u043a\u043e\u043d\u0442\u0443\u0440\u0456\u0432, \u0434\u043e \u044f\u043a\u0438\u0445 \u043f\u043e\u0442\u0456\u043c \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u044e\u0442\u044c \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0435 \u0437\u0433\u043b\u0430\u0434\u0436\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u043b\u044f \u0432\u0438\u044f\u0432\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043e\u043a \u043d\u0430\u0439\u0431\u0456\u043b\u044c\u0448\u043e\u0457 \u043a\u0440\u0438\u0432\u0438\u0437\u043d\u0438. \u041f\u043e\u0442\u0456\u043c \u0434\u043e\u0421\u0442\u0430\u0442\u0442\u044f \u043f\u0440\u043e\u043f\u043e\u043d\u0443\u0454 \u0440\u043e\u0437\u0440\u043e\u0431\u043a\u0443 \u043c\u0435\u0442\u043e\u0434\u0443 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u0443\u0442\u043e\u0432\u0438\u0445 \u0442\u043e\u0447\u043e\u043a \u0437\u0430 \u0434\u043e\u043f\u043e\u043c\u043e\u0433\u043e\u044e \u043a\u043e\u0440\u043e\u0442\u0430\u0446\u0456\u0439\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u043f\u043b\u0430\u0439\u043d\u0430.","twitter:image":"https:\/\/publish.kpi.ua\/wp-content\/uploads\/2025\/05\/publishkpiua-logo-color-07-2.png"},"aioseo_meta_data":{"post_id":"6493","title":null,"description":null,"keywords":null,"keyphrases":{"focus":{"keyphrase":"","score":0,"analysis":{"keyphraseInTitle":{"score":0,"maxScore":9,"error":1}}},"additional":[]},"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":"","og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"WebPage","isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":"-1","robots_max_videopreview":"-1","robots_max_imagepreview":"large","priority":null,"frequency":"default","local_seo":null,"breadcrumb_settings":null,"limit_modified_date":false,"ai":{"faqs":[],"keyPoints":[],"schemas":[],"titles":[],"descriptions":[],"socialPosts":{"email":{"subject":"","preview":"","content":""},"linkedin":[],"twitter":[],"facebook":[],"instagram":[]}},"created":"2026-04-19 17:11:01","updated":"2026-09-17 20:29:31","seo_analyzer_scan_date":null,"focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/publish.kpi.ua\/en\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tInformation Technology and Security\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/publish.kpi.ua\/en"},{"label":"Information Technology and Security","link":"https:\/\/publish.kpi.ua\/en\/information-technology-and-security\/"}],"_links":{"self":[{"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/pages\/6493","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/comments?post=6493"}],"version-history":[{"count":11,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/pages\/6493\/revisions"}],"predecessor-version":[{"id":7066,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/pages\/6493\/revisions\/7066"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/media\/6492"}],"wp:attachment":[{"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/media?parent=6493"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/publish.kpi.ua\/en\/wp-json\/wp\/v2\/categories?post=6493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}