{"id":1982,"date":"2021-01-18T18:21:57","date_gmt":"2021-01-18T16:21:57","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=1982"},"modified":"2021-04-14T14:24:37","modified_gmt":"2021-04-14T11:24:37","slug":"%d1%84%d1%83%d0%bd%d0%b4%d0%b0%d0%bc%d0%b5%d0%bd%d1%82%d0%b0%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d0%bc%d0%b5%d1%82%d1%80%d0%be%d0%bb%d0%be%d0%b3%d0%b8%d1%8f-%d0%b1%d0%b8%d0%ba%d0%be%d0%bb%d1%8c%d1%86","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=1982","title":{"rendered":"\u0424\u0443\u043d\u0434\u0430\u043c\u0435\u043d\u0442\u0430\u043b\u044c\u043d\u0430\u044f \u043c\u0435\u0442\u0440\u043e\u043b\u043e\u0433\u0438\u044f: \u0431\u0438\u043a\u043e\u043b\u044c\u0446\u043e\u0438\u0434\u044b \u0438 \u043a\u043e\u043b\u044c\u0446\u043e\u0438\u0434\u044b \u2014 \u043f\u043b\u043e\u0441\u043a\u0438\u0435 \u0432\u0435\u0449\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043a\u0440\u0438\u0432\u044b\u0435 \u0448\u0435\u0441\u0442\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430"},"content":{"rendered":"

\u0424\u0423\u041d\u0414\u0410\u041c\u0415\u041d\u0422\u0410\u041b\u042c\u041d\u0410\u042f \u041c\u0415\u0422\u0420\u041e\u041b\u041e\u0413\u0418\u042f: \u0411\u0418\u041a\u041e\u041b\u042c\u0426\u041e\u0418\u0414\u042b \u0418 \u041a\u041e\u041b\u042c\u0426\u041e\u0418\u0414\u042b \u2014 \u041f\u041b\u041e\u0421\u041a\u0418\u0415 \u0412\u0415\u0429\u0415\u0421\u0422\u0412\u0415\u041d\u041d\u042b\u0415 \u0410\u041b\u0413\u0415\u0411\u0420\u0410\u0418\u0427\u0415\u0421\u041a\u0418\u0415 \u041a\u0420\u0418\u0412\u042b\u0415 \u0428\u0415\u0421\u0422\u041e\u0413\u041e \u041f\u041e\u0420\u042f\u0414\u041a\u0410<\/p>\n

FUNDAMENTAL METROLOGY: BIRINGOIDS AND RINGOIDS \u2014 FLAT MATERIAL ALGEBRAIC CURVES OF THE SIXTH ORDER<\/p>\n

<\/a> \u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 220-231. \u041d\u043e\u043c\u0435\u0440: \u21161, 2019 (269)<\/strong>
\n\u0410\u0432\u0442\u043e\u0440\u0438:<\/strong>
\n\u0412.\u0422. \u041a\u041e\u041d\u0414\u0420\u0410\u0422\u041e\u0412
\n\u0418\u043d\u0441\u0442\u0438\u0442\u0443\u0442 \u043a\u0438\u0431\u0435\u0440\u043d\u0435\u0442\u0438\u043a\u0438 \u0438\u043c. \u0412.\u041c. \u0413\u043b\u0443\u0448\u043a\u043e\u0432\u0430, \u0433. \u041a\u0438\u0435\u0432
\nV.T. KONDRATOV
\nV.M. Glushkov Institute of Cybernetics of National Academy of Science of Ukraine
\nDOI:<\/strong> https:\/\/www.doi.org\/10.31891\/2307-5732-2019-269-1-220-231<\/a>
\n\u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review :<\/strong> 17.01.2019 \u0440.
\n\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed :<\/strong> 15.02.2019 \u0440.<\/p>\n

\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n

\u0412 \u0440\u0430\u0431\u043e\u0442\u0435 \u0434\u0430\u043b\u044c\u043d\u0435\u0439\u0448\u0435\u0435 \u0440\u0430\u0437\u0432\u0438\u0442\u0438\u0435 \u0438 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438 \u043f\u043b\u043e\u0441\u043a\u0438\u0435 \u0432\u0435\u0449\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043a\u0440\u0438\u0432\u044b\u0435 \u0448\u0435\u0441\u0442\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430 \u2014 \u0431\u0438\u043a\u043e\u043b\u044c\u0446\u043e\u0438\u0434\u044b \u0438 \u043a\u043e\u043b\u044c\u0446\u043e\u0438\u0434\u044b, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u044b\u0435 \u043f\u0440\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u0438 \u0437\u0430\u0434\u0430\u0447 \u0442\u0435\u043e\u0440\u0438\u0438 \u0438 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0438 \u043c\u0430\u0433\u043d\u0438\u0442\u043e\u043f\u043e\u043b\u0435\u0432\u044b\u0445 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u0439, \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u0438 \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u0438 \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0437\u0430\u0440\u044f\u0436\u0435\u043d\u043d\u044b\u0445 \u043a\u0432\u0430\u0437\u0438\u0447\u0430\u0441\u0442\u0438\u0446 \u0432\u043d\u0443\u0442\u0440\u0438 \u043c\u0435\u0445\u0430\u043d\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u0437\u0430\u043c\u043a\u043d\u0443\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u0438 \u0441\u043e\u0432\u0435\u0440\u0448\u0430\u0435\u043c\u043e\u0439 \u0438\u043c\u0438 \u0440\u0430\u0431\u043e\u0442\u0435 \u043d\u0430 \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u044b\u0445 \u0443\u0447\u0430\u0441\u0442\u043a\u0430\u0445 \u044d\u0442\u043e\u0433\u043e \u043f\u0443\u0442\u0438. \u041f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u044b \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u0431\u0438\u043a\u043e\u043b\u044c\u0446\u043e\u0438\u0434 \u0438 \u043a\u043e\u043b\u044c\u0446\u043e\u0438\u0434 \u0441 \u0440\u0430\u0437\u043d\u044b\u043c\u0438 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438, \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043b\u0435\u0432\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0435\u0439 \u0438 \u043f\u0440\u0430\u0432\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0435\u0439 \u043a\u043e\u043b\u044c\u0446\u043e\u0438\u0434, \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u044b \u0443\u0441\u043b\u043e\u0432\u0438\u044f \u0438 \u043e\u0433\u0440\u0430\u043d\u0438\u0447\u0435\u043d\u0438\u044f \u043f\u043e \u0438\u0445 \u0432\u043e\u0441\u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u041f\u041f\u041f Grapher 7.0. \u0420\u0430\u0431\u043e\u0442\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0438\u043d\u0442\u0435\u0440\u0435\u0441 \u0434\u043b\u044f \u043c\u0435\u0442\u0440\u043e\u043b\u043e\u0433\u043e\u0432, \u0441\u043f\u0435\u0446\u0438\u0430\u043b\u0438\u0441\u0442\u043e\u0432, \u043c\u0430\u0433\u0438\u0441\u0442\u0440\u043e\u0432 \u0438 \u0430\u0441\u043f\u0438\u0440\u0430\u043d\u0442\u043e\u0432, \u0438\u0437\u0443\u0447\u0430\u044e\u0449\u0438\u0445 \u043a\u0440\u0438\u0432\u044b\u0435 \u0448\u0435\u0441\u0442\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430 \u0438 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u0432 \u043c\u0435\u0442\u0440\u043e\u043b\u043e\u0433\u0438\u0438.
\n\u041a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u043a\u0440\u0438\u0432\u044b\u0435 \u0448\u0435\u0441\u0442\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430, \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435, \u043a\u043e\u043b\u044c\u0446\u043e\u0438\u0434\u0430, \u0431\u0438\u043a\u043e\u043b\u044c\u0446\u043e\u0438\u0434\u0430.<\/p>\n

\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n

In the paper the further development and research have received flat material algebraic curves of the sixth order \u2014 biringoids and ringoids. It is ascertained, that the problem \u00ababout a parity between algebraic formulas and geometrical images\u00bb is one of fundamental problems of mathematics. The author in the world proves for the first time existence of flat material algebraic curves of the sixth order \u2014 biringoids and their special cases: link sided and right-hand ringoids the opened and closed types and other curves received at set restrictions of parameters of binary function of transformation and a range of change by a variable \u00a0. For the first time in the world analytical expressions of flat material algebraic curves of the sixth order are deduced, the beginning is necessary to their researches and development. Demand the further research of the restrictions imposed on topology of a curve of the sixth order by directly its algebraic nature. Development of flat material algebraic curves of the sixth order is caused by necessity of the description of an average trajectory of movement negatively charged quasiparticles in mechanical system of the closed type and definition of made work on separate sites of this way at the decision of problems of the theory and practice magnetic-field measurements. In paper possibility of reception of curves both closed, and opened kinds is shown. Flat material algebraic curves of 6th order \u2014 biringoid, link sided and right-hand ringoids with different parameters are constructed, conditions and restrictions on their reproduction by means of the Grapher 7.0 are resulted. For the first time in metrology classification bikoltsoids which in enough full measure reflects all variety of flat material algebraic curves of 6th order is developed and resulted. Paper has scientific and practical value as promotes the decision of technical problems of the description of movement and others negatively charged quasiparticles in wave guides specified above a configuration.
\nSchedules of bikoltsoids and ringoids with different parameters, schedules link sided and right-hand ringoids are constructed, conditions and restrictions on their reproduction by means of the Grapher 7.0 are resulted. Work is of interest for metrologists, experts, masters and the post-graduate students studying curves of the sixth order and possibility of their application in metrology.
\nKeywords:<\/strong> curves of the sixth order, analytical expression, biringoid, ringoid.<\/p>\n

References<\/strong><\/p>\n

    \n
  1. Arnol’d V. I. Veshhestvennaja algebraicheskaja geometrija \/ Arnol’d V. I. \u2013 M. : MCNMO, 2009. \u2013 88 s.<\/li>\n
  2. Viro O.Ja. Ploskie veshhestvennye algebraicheskie krivye: postroenija s kontroliruemoj topologiej [Jelektronnyj resurs]. \u2013 Rezhim dostupa : https:\/\/www.math.stonybrook.edu\/~oleg\/math\/papers\/1989-PloVeAlgKr-postr.pdf.<\/li>\n
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  4. Gudkov D. A. Postroenie krivoj 6-go porjadka tipa [Jelektronnyj resurs] \/ D. A. Gudkov \/\/ Izv. vuzov. Matem. \u2013 1973. \u2013 \u2116 3. \u2013 S. 28\u201336. \u2013 Rezhim dostupa : http:\/\/www.mathnet.ru\/links\/8a54f24c0c2a8d70702a9ae69368360e\/ivm4418.pdf.<\/li>\n
  5. Oval Kassini [Jelektronnyj resurs]. \u2013 Rezhim dostupa : https:\/\/ru.wikipedia.org\/wiki\/%D0%9E%D0%B2%D0%B0%D0%BB_%D0%9A%D0%B0%D1%81%D1%81%D0%B8%D0%BD%D0%B8.<\/li>\n
  6. Algebraicheskaja krivaja [Jelektronnyj resurs]. \u2013 Rezhim dostupa : https:\/\/ru.wikipedia.org\/wiki\/%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0%D1%8F_%D0%BA%D1%80%D0%B8%D0%B2%D0%B0%D1%8F.<\/li>\n
  7. Simmetrija [Jelektronnyj resurs]. \u2013 Rezhim dostupa : http:\/\/www.milogiya2007.ru\/simmetr01.htm.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    \u0424\u0423\u041d\u0414\u0410\u041c\u0415\u041d\u0422\u0410\u041b\u042c\u041d\u0410\u042f \u041c\u0415\u0422\u0420\u041e\u041b\u041e\u0413\u0418\u042f: \u0411\u0418\u041a\u041e\u041b\u042c\u0426\u041e\u0418\u0414\u042b \u0418 \u041a\u041e\u041b\u042c\u0426\u041e\u0418\u0414\u042b \u2014 \u041f\u041b\u041e\u0421\u041a\u0418\u0415 \u0412\u0415\u0429\u0415\u0421\u0422\u0412\u0415\u041d\u041d\u042b\u0415 \u0410\u041b\u0413\u0415\u0411\u0420\u0410\u0418\u0427\u0415\u0421\u041a\u0418\u0415 \u041a\u0420\u0418\u0412\u042b\u0415 \u0428\u0415\u0421\u0422\u041e\u0413\u041e \u041f\u041e\u0420\u042f\u0414\u041a\u0410 FUNDAMENTAL METROLOGY: BIRINGOIDS AND RINGOIDS \u2014 FLAT MATERIAL ALGEBRAIC CURVES OF THE SIXTH ORDER \u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 220-231. \u041d\u043e\u043c\u0435\u0440: \u21161, 2019 (269) \u0410\u0432\u0442\u043e\u0440\u0438: \u0412.\u0422. \u041a\u041e\u041d\u0414\u0420\u0410\u0422\u041e\u0412 \u0418\u043d\u0441\u0442\u0438\u0442\u0443\u0442 \u043a\u0438\u0431\u0435\u0440\u043d\u0435\u0442\u0438\u043a\u0438 \u0438\u043c. \u0412.\u041c. \u0413\u043b\u0443\u0448\u043a\u043e\u0432\u0430, \u0433. \u041a\u0438\u0435\u0432 V.T. KONDRATOV V.M. Glushkov Institute of Cybernetics of National Academy of Science of […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[21],"tags":[],"_links":{"self":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1982"}],"collection":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1982"}],"version-history":[{"count":4,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1982\/revisions"}],"predecessor-version":[{"id":5753,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1982\/revisions\/5753"}],"wp:attachment":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1982"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1982"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1982"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}