{"id":155545,"date":"2026-01-27T23:12:35","date_gmt":"2026-01-27T21:12:38","guid":{"rendered":"https:\/\/prohoster.info\/blog\/novosti-interneta\/rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike"},"modified":"2026-01-30T17:57:27","modified_gmt":"2026-01-30T15:57:27","slug":"rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike","status":"publish","type":"post","link":"https:\/\/prohoster.info\/et\/blog\/novosti-interneta\/rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike","title":{"rendered":"Venemaa matemaatik leidis v\u00f5tme 19. sajandi \u201elahendamatutele\u201d v\u00f5rranditele: see lihtsustab f\u00fc\u00fcsika ja kosmose lennu arvutusi.","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p>Riiklik Uurimis\u00fclikool \u00abK\u00f5rgem Majanduskool\u00bb (NIU V\u0160E) <a href=\"https:\/\/www.hse.ru\/news\/science\/1122687898.html\" target=\"_blank\" rel=\"nofollow noopener\">et<\/a>, et matemaatik Ivan Remizov Nizhni Novgorodist leidis v\u00f5imaluse teise astme diferentsiaalv\u00f5rrandite lahendamiseks, kui koefitsiendid on muutlikud. Peaaegu kahe sajandi jooksul peeti selliseid v\u00f5rrandeid lahendamatuks. Samas m\u00e4ngivad nad keskset rolli matemaatikas ja loodusteadustes, kuna neid kasutatakse d\u00fcnaamiliste protsesside kirjeldamiseks.<\/p>\n<p><img decoding=\"async\" style=\"display: block; margin: 0 auto;\" src=\"\/wp-content\/uploads\/2026\/01\/1dcf3f3559eaa552afaf6ebdedbf6df6.png\" alt=\"Venemaa matemaatik leidis v\u00f5tme 19. sajandi \u201elahendamatutele\u201d v\u00f5rranditele: see lihtsustab f\u00fc\u00fcsika ja kosmose lennu arvutusi.\" \/><\/p>\n<p>Ajalooliselt oli see piirang seotud Prantsuse matemaatiku Joseph Liouville'i tulemustega, kes juba 1834. aastal n\u00e4itas, et selliste v\u00f5rrandite lahendusi ei saa v\u00e4ljendada l\u00f5pliku arvu tavaliste tehete ja elementaarfunktsioonide kaudu. Seet\u00f5ttu olid matemaatikud sunnitud kas otsima osaliselt lahendusi v\u00f5i kasutama l\u00e4henemisi, mis v\u00e4listas universaalse meetodi ja t\u00fcsistas arvutusi. Teisis\u00f5nu, ei olnud olemas \u00fcldist valemit, kuhu saaks lihtsalt \u00abnumbrid\u00bb sisestada ja lahenduse saada.<\/p>\n<p>Ivan Remizov pakkus v\u00e4lja uue l\u00e4henemise, laiendades lubatud matemaatiliste operatsioonide klassi. Ta ei vaielnud Liouville'iga, vaid lisas lihtsalt v\u00f5rranditesse veel \u00fche matemaatilise t\u00f6\u00f6riista \u2014 j\u00e4rjestuse piiri leidmise. Selleks kasutas matemaatik \u010cernovi teooriat ja Laplace'i muundumist. See v\u00f5imaldas tal luua universaalse valemi, mis formaalselt annab lahenduse igasuguste 'lahendamatute' klassi v\u00f5rrandite jaoks, v\u00e4ltides klassikalisi teooria piirm\u00e4\u00e4rasid.<\/p>\n<p>\u201eIdee tuum seisneb selles, et keeruline, pidevalt muutuv protsess jagatakse l\u00f5putuks hulgaks lihtsatest sammudest. Iga sellise l\u00f5igu jaoks ehitatakse oma l\u00e4henemine \u2014 elementaarne fragment, mis kirjeldab s\u00fcsteemi k\u00e4itumist konkreetsetes punktides. \u00dcksikult annavad need t\u00fckid vaid lihtsustatud pildi, kuid kui nende arv l\u00e4heneb l\u00f5pmatusele, sulanduvad nad sujuvalt t\u00e4psesse lahendi graafikusse,\u201d selgitatakse HSE pressiteates.<\/p>\n<p>Teise j\u00e4rgu diferentsiaalv\u00f5rrandeid kasutatakse mitte ainult tegelike olukordade modelleerimiseks, vaid ka uute funktsioonide m\u00e4\u00e4ratlemiseks, mida ei saa muul viisil esitada. Nende hulka kuuluvad n\u00e4iteks nii nimetatud Mathieu ja Hilli erifunktsioonid, mis on \u00fcliolulised, et m\u00f5ista, kuidas satelliidid orbiidil v\u00f5i prootonid Suure Hadroni Collisionis liiguvad.<\/p>\n<p>Taas natuke keerulisema matemaatika keelega avastamisest v\u00f5ib <a href=\"https:\/\/www.hse.ru\/news\/science\/1122687898.html\" target=\"_blank\" rel=\"nofollow noopener\">lugema<\/a> leida NIU HSE veebilehelt. Ingliskeelne t\u00f6\u00f6 <a href=\"https:\/\/www.vmj.ru\/articles\/2025_4_10.pdf#\/\" target=\"_blank\" rel=\"nofollow noopener\">on avaldatud<\/a> on t\u00e4ielikult avaldatud \"Vladikavkazi matemaatikaajakirjas\".<\/p>\n<p><strong>Allikas:<\/strong><\/p>\n<ul class=\"related\">\n<li><a title=\"HSE\" href=\"https:\/\/www.hse.ru\" target=\"_blank\" rel=\"nofollow noopener\">HSE<\/a><\/li>\n<\/ul>\n<p><center><center><\/center><center><\/center><\/center><center><\/center><br \/>\nAllikas: <a rel=\"nofollow\" href=\"https:\/\/3dnews.ru\/1135924\">3dnews.ru<\/a><\/p>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>\u041d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0412\u044b\u0441\u0448\u0430\u044f \u0448\u043a\u043e\u043b\u0430 \u044d\u043a\u043e\u043d\u043e\u043c\u0438\u043a\u0438\u00bb (\u041d\u0418\u0423 \u0412\u0428\u042d) \u0441\u043e\u043e\u0431\u0449\u0438\u043b, \u0447\u0442\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a \u0418\u0432\u0430\u043d \u0420\u0435\u043c\u0438\u0437\u043e\u0432 \u0438\u0437 \u041d\u0438\u0436\u043d\u0435\u0433\u043e \u041d\u043e\u0432\u0433\u043e\u0440\u043e\u0434\u0430 \u043d\u0430\u0448\u0451\u043b \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0434\u043b\u044f \u0443\u0441\u043b\u043e\u0432\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u043e\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430 \u0441 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438. \u041d\u0430 \u043f\u0440\u043e\u0442\u044f\u0436\u0435\u043d\u0438\u0438 \u043f\u043e\u0447\u0442\u0438 \u0434\u0432\u0443\u0445 \u0441\u0442\u043e\u043b\u0435\u0442\u0438\u0439 \u0442\u0430\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u0447\u0438\u0442\u0430\u043b\u0438\u0441\u044c \u043d\u0435\u0440\u0435\u0448\u0430\u0435\u043c\u044b\u043c\u0438. \u041c\u0435\u0436\u0434\u0443 \u0442\u0435\u043c, \u043e\u043d\u0438 \u0438\u0433\u0440\u0430\u044e\u0442 \u043a\u043b\u044e\u0447\u0435\u0432\u0443\u044e \u0440\u043e\u043b\u044c \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0438 \u0435\u0441\u0442\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0445 \u043d\u0430\u0443\u043a\u0430\u0445, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432. [&hellip;]<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":8,"featured_media":155546,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[702],"tags":[],"class_list":["post-155545","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-novosti-interneta"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.0.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u041d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0412\u044b\u0441\u0448\u0430\u044f \u0448\u043a\u043e\u043b\u0430 \u044d\u043a\u043e\u043d\u043e\u043c\u0438\u043a\u0438\u00bb (\u041d\u0418\u0423 \u0412\u0428\u042d) \u0441\u043e\u043e\u0431\u0449\u0438\u043b, \u0447\u0442\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a \u0418\u0432\u0430\u043d \u0420\u0435\u043c\u0438\u0437\u043e\u0432 \u0438\u0437 \u041d\u0438\u0436\u043d\u0435\u0433\u043e \u041d\u043e\u0432\u0433\u043e\u0440\u043e\u0434\u0430 \u043d\u0430\u0448\u0451\u043b \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0434\u043b\u044f \u0443\u0441\u043b\u043e\u0432\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u043e\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430 \u0441 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438. \u041d\u0430 \u043f\u0440\u043e\u0442\u044f\u0436\u0435\u043d\u0438\u0438 \u043f\u043e\u0447\u0442\u0438 \u0434\u0432\u0443\u0445 \u0441\u0442\u043e\u043b\u0435\u0442\u0438\u0439 \u0442\u0430\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u0447\u0438\u0442\u0430\u043b\u0438\u0441\u044c \u043d\u0435\u0440\u0435\u0448\u0430\u0435\u043c\u044b\u043c\u0438. \u041c\u0435\u0436\u0434\u0443 \u0442\u0435\u043c, \u043e\u043d\u0438 \u0438\u0433\u0440\u0430\u044e\u0442 \u043a\u043b\u044e\u0447\u0435\u0432\u0443\u044e \u0440\u043e\u043b\u044c \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0438 \u0435\u0441\u0442\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0445 \u043d\u0430\u0443\u043a\u0430\u0445, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432.\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Erik Peterson\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/prohoster.info\/et\/blog\/novosti-interneta\/rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.0.1\" \/>\n\t\t<meta property=\"og:locale\" content=\"et_EE\" \/>\n\t\t<meta property=\"og:site_name\" content=\"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"\ud83e\udd47\u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u0438\u0439 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a \u043d\u0430\u0448\u0435\u043b \u043a\u043b\u044e\u0447 \u043a \u00ab\u043d\u0435\u0440\u0435\u0448\u0430\u0435\u043c\u044b\u043c\u00bb \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u043c XIX \u0432\u0435\u043a\u0430: \u044d\u0442\u043e \u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442 \u0440\u0430\u0441\u0447\u0435\u0442\u044b \u0432 \u0444\u0438\u0437\u0438\u043a\u0435 \u0438 \u043a\u043e\u0441\u043c\u043e\u043d\u0430\u0432\u0442\u0438\u043a\u0435 | ProHoster\" \/>\n\t\t<meta property=\"og:description\" content=\"\u041d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0412\u044b\u0441\u0448\u0430\u044f \u0448\u043a\u043e\u043b\u0430 \u044d\u043a\u043e\u043d\u043e\u043c\u0438\u043a\u0438\u00bb (\u041d\u0418\u0423 \u0412\u0428\u042d) \u0441\u043e\u043e\u0431\u0449\u0438\u043b, \u0447\u0442\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a \u0418\u0432\u0430\u043d \u0420\u0435\u043c\u0438\u0437\u043e\u0432 \u0438\u0437 \u041d\u0438\u0436\u043d\u0435\u0433\u043e \u041d\u043e\u0432\u0433\u043e\u0440\u043e\u0434\u0430 \u043d\u0430\u0448\u0451\u043b \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0434\u043b\u044f \u0443\u0441\u043b\u043e\u0432\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u043e\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430 \u0441 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438. \u041d\u0430 \u043f\u0440\u043e\u0442\u044f\u0436\u0435\u043d\u0438\u0438 \u043f\u043e\u0447\u0442\u0438 \u0434\u0432\u0443\u0445 \u0441\u0442\u043e\u043b\u0435\u0442\u0438\u0439 \u0442\u0430\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u0447\u0438\u0442\u0430\u043b\u0438\u0441\u044c \u043d\u0435\u0440\u0435\u0448\u0430\u0435\u043c\u044b\u043c\u0438. \u041c\u0435\u0436\u0434\u0443 \u0442\u0435\u043c, \u043e\u043d\u0438 \u0438\u0433\u0440\u0430\u044e\u0442 \u043a\u043b\u044e\u0447\u0435\u0432\u0443\u044e \u0440\u043e\u043b\u044c \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0438 \u0435\u0441\u0442\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0445 \u043d\u0430\u0443\u043a\u0430\u0445, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432.\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/prohoster.info\/et\/blog\/novosti-interneta\/rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:width\" content=\"350\" \/>\n\t\t<meta property=\"og:image:height\" content=\"350\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2026-01-27T21:12:38+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2026-01-30T15:57:27+00:00\" \/>\n\t\t<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"\ud83e\udd47Venemaa matemaatik leidis v\u00f5tme XIX sajandi \u00ablahendamatu\u00bb v\u00f5rrandi lahendamiseks: see lihtsustab arvutusi f\u00fc\u00fcsikas ja kosmoloogias | ProHoster","description":"Riiklik uurimisinstituut \"K\u00f5rgem Looduslike Teaduste Kool\" (NIU HSE) teatas, et matemaatik Ivan Remizov Nizhni Novgorodist leidis viisi, kuidas leida tinglikult lihtne lahendus teise j\u00e4rgu diferentsiaalv\u00f5rranditele muutuva koefitsiendiga. Peaaegu kahe sajandi jooksul on selliseid v\u00f5rrandeid peetud lahendamatuks. Samas m\u00e4ngivad need matemaatikas ja loodusteadustes v\u00f5tmerolli, kuna neid kasutatakse d\u00fcnaamiliste protsesside kirjeldamiseks.","canonical_url":"https:\/\/prohoster.info\/et\/blog\/novosti-interneta\/rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":null,"og:locale":"et_EE","og:site_name":"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b","og:type":"article","og:title":"\ud83e\udd47\u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u0438\u0439 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a \u043d\u0430\u0448\u0435\u043b \u043a\u043b\u044e\u0447 \u043a \u00ab\u043d\u0435\u0440\u0435\u0448\u0430\u0435\u043c\u044b\u043c\u00bb \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u043c XIX \u0432\u0435\u043a\u0430: \u044d\u0442\u043e \u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442 \u0440\u0430\u0441\u0447\u0435\u0442\u044b \u0432 \u0444\u0438\u0437\u0438\u043a\u0435 \u0438 \u043a\u043e\u0441\u043c\u043e\u043d\u0430\u0432\u0442\u0438\u043a\u0435 | ProHoster","og:description":"\u041d\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u0412\u044b\u0441\u0448\u0430\u044f \u0448\u043a\u043e\u043b\u0430 \u044d\u043a\u043e\u043d\u043e\u043c\u0438\u043a\u0438\u00bb (\u041d\u0418\u0423 \u0412\u0428\u042d) \u0441\u043e\u043e\u0431\u0449\u0438\u043b, \u0447\u0442\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a \u0418\u0432\u0430\u043d \u0420\u0435\u043c\u0438\u0437\u043e\u0432 \u0438\u0437 \u041d\u0438\u0436\u043d\u0435\u0433\u043e \u041d\u043e\u0432\u0433\u043e\u0440\u043e\u0434\u0430 \u043d\u0430\u0448\u0451\u043b \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0434\u043b\u044f \u0443\u0441\u043b\u043e\u0432\u043d\u043e \u043f\u0440\u043e\u0441\u0442\u043e\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0432\u0442\u043e\u0440\u043e\u0433\u043e \u043f\u043e\u0440\u044f\u0434\u043a\u0430 \u0441 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430\u043c\u0438. \u041d\u0430 \u043f\u0440\u043e\u0442\u044f\u0436\u0435\u043d\u0438\u0438 \u043f\u043e\u0447\u0442\u0438 \u0434\u0432\u0443\u0445 \u0441\u0442\u043e\u043b\u0435\u0442\u0438\u0439 \u0442\u0430\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u0447\u0438\u0442\u0430\u043b\u0438\u0441\u044c \u043d\u0435\u0440\u0435\u0448\u0430\u0435\u043c\u044b\u043c\u0438. \u041c\u0435\u0436\u0434\u0443 \u0442\u0435\u043c, \u043e\u043d\u0438 \u0438\u0433\u0440\u0430\u044e\u0442 \u043a\u043b\u044e\u0447\u0435\u0432\u0443\u044e \u0440\u043e\u043b\u044c \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0438 \u0435\u0441\u0442\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0445 \u043d\u0430\u0443\u043a\u0430\u0445, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432.","og:url":"https:\/\/prohoster.info\/et\/blog\/novosti-interneta\/rossijskij-matematik-nashel-klyuch-k-nereshaemym-uravneniyam-xix-veka-eto-uprostit-raschety-v-fizike-i-kosmonavtike","og:image":"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg","og:image:secure_url":"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg","og:image:width":350,"og:image:height":350,"article:published_time":"2026-01-27T21:12:38+00:00","article:modified_time":"2026-01-30T15:57:27+00:00","article:publisher":"https:\/\/www.facebook.com\/prohoster","article:author":"https:\/\/www.facebook.com\/prohoster"},"aioseo_meta_data":{"post_id":"155545","title":null,"description":null,"keywords":null,"keyphrases":null,"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":null,"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":"Article","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":null,"robots_max_videopreview":null,"robots_max_imagepreview":"large","priority":null,"frequency":null,"local_seo":null,"seo_analyzer_scan_date":"2026-01-30 15:57:57","breadcrumb_settings":null,"limit_modified_date":false,"reviewed_by":null,"ai":null,"created":"2026-01-27 21:12:39","updated":"2026-01-30 15:57:57","focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/posts\/155545","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/comments?post=155545"}],"version-history":[{"count":1,"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/posts\/155545\/revisions"}],"predecessor-version":[{"id":155875,"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/posts\/155545\/revisions\/155875"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/media\/155546"}],"wp:attachment":[{"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/media?parent=155545"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/categories?post=155545"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/prohoster.info\/et\/wp-json\/wp\/v2\/tags?post=155545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}