{"id":736,"date":"2019-05-07T09:04:00","date_gmt":"2019-05-07T07:04:00","guid":{"rendered":"https:\/\/nadvakroky.sk\/?p=736"},"modified":"2019-05-07T09:04:00","modified_gmt":"2019-05-07T07:04:00","slug":"ma-viac-bodov-rovina-alebo-priamka","status":"publish","type":"post","link":"https:\/\/wp1.science.upjs.sk\/nadvakrorky\/2019\/05\/07\/ma-viac-bodov-rovina-alebo-priamka\/","title":{"rendered":"M\u00e1 viac bodov rovina alebo priamka?"},"content":{"rendered":"\n<p>T\u00fato predstavu postavil na ruby nemeck\u00fd matematik Georg Cantor, ke\u010f v sedemdesiatych rokoch 19. storo\u010dia uk\u00e1zal, \u017ee <strong>priamka a rovina m\u00e1 rovnako ve\u013ea bodov<\/strong>. Rozdiel je len v ich inom umiestnen\u00ed, \u010d\u00edm sa zaober\u00e1 samostatn\u00e1 matematick\u00e1 discipl\u00edna nazvan\u00e1 topol\u00f3gia.<\/p>\n\n\n\n<p>Aj preto by sme dok\u00e1zali <strong>vyplni\u0165 plochu \u0161tvorca dostato\u010dne dlhou ni\u0165ou nulovej \u0161\u00edrky<\/strong>. <\/p>\n\n\n\n<p>A\u017e do 19. storo\u010dia to matematici pova\u017eovali za nemo\u017en\u00e9, a\u017e k\u00fdm ich o opaku nepresved\u010dil taliansky matematik Giuseppe Peano. Pod\u013ea neho bola pomenovan\u00e1 <strong>Peanova krivka, ktor\u00e1 dok\u00e1\u017ee vyplni\u0165 dvojrozmern\u00fd priestor. <\/strong><\/p>\n\n\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-589\" style=\"max-width: 500px !important;margin: 1em auto !important\" src=\"https:\/\/wp1.science.upjs.sk\/nadvakrorky\/wp-content\/uploads\/sites\/86\/2019\/05\/Peano_curve.png\" alt=\"diev\u010da korytna\u010dky\"><\/p>\n\n\n<p>Pr\u00edspevok pripravil <strong><a href=\"https:\/\/www.upjs.sk\/PF\/zamestnanec\/jaroslav.supina\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"RNDr. Jaroslav \u0160upina, PhD. (opens in a new tab)\">RNDr. Jaroslav \u0160upina, PhD.<\/a><\/strong> z <em>\u00dastavu matematick\u00fdch vied<\/em>                             <\/p>\n\n\n\n<p>Kontakt na autora:  <a href=\"mailto:jaroslav.supina@upjs.sk\">jaroslav.supina@upjs.sk<\/a> <\/p>\n","protected":false},"excerpt":{"rendered":"<p>T\u00fato predstavu postavil na ruby nemeck\u00fd matematik Georg Cantor, ke\u010f v sedemdesiatych rokoch 19. storo\u010dia uk\u00e1zal, \u017ee priamka a rovina m\u00e1 rovnako ve\u013ea bodov. Rozdiel je len v ich inom umiestnen\u00ed, \u010d\u00edm sa zaober\u00e1 samostatn\u00e1 matematick\u00e1 discipl\u00edna nazvan\u00e1 topol\u00f3gia. Aj preto by sme dok\u00e1zali vyplni\u0165 plochu \u0161tvorca dostato\u010dne dlhou ni\u0165ou nulovej \u0161\u00edrky. A\u017e do 19. [&hellip;]<\/p>\n","protected":false},"author":93,"featured_media":738,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[14],"tags":[],"class_list":["post-736","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>M\u00e1 viac bodov rovina alebo priamka? - Nadvakroky.sk<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wp1.science.upjs.sk\/nadvakrorky\/2019\/05\/07\/ma-viac-bodov-rovina-alebo-priamka\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"M\u00e1 viac bodov rovina alebo priamka? - Nadvakroky.sk\" \/>\n<meta property=\"og:description\" content=\"T\u00fato predstavu postavil na ruby nemeck\u00fd matematik Georg Cantor, ke\u010f v sedemdesiatych rokoch 19. storo\u010dia uk\u00e1zal, \u017ee priamka a rovina m\u00e1 rovnako ve\u013ea bodov. Rozdiel je len v ich inom umiestnen\u00ed, \u010d\u00edm sa zaober\u00e1 samostatn\u00e1 matematick\u00e1 discipl\u00edna nazvan\u00e1 topol\u00f3gia. Aj preto by sme dok\u00e1zali vyplni\u0165 plochu \u0161tvorca dostato\u010dne dlhou ni\u0165ou nulovej \u0161\u00edrky. A\u017e do 19. [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wp1.science.upjs.sk\/nadvakrorky\/2019\/05\/07\/ma-viac-bodov-rovina-alebo-priamka\/\" \/>\n<meta property=\"og:site_name\" content=\"Nadvakroky.sk\" \/>\n<meta property=\"article:published_time\" content=\"2019-05-07T07:04:00+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/wp1.science.upjs.sk\/nadvakrorky\/wp-content\/uploads\/sites\/86\/2019\/05\/teo-duldulao-209122-unsplash-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2560\" \/>\n\t<meta property=\"og:image:height\" content=\"1707\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Tomas Tkacik\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Tomas Tkacik\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":[\"Article\",\"BlogPosting\"],\"@id\":\"https:\\\/\\\/wp1.science.upjs.sk\\\/nadvakrorky\\\/2019\\\/05\\\/07\\\/ma-viac-bodov-rovina-alebo-priamka\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/wp1.science.upjs.sk\\\/nadvakrorky\\\/2019\\\/05\\\/07\\\/ma-viac-bodov-rovina-alebo-priamka\\\/\"},\"author\":{\"name\":\"Tomas Tkacik\",\"@id\":\"https:\\\/\\\/wp1.science.upjs.sk\\\/nadvakrorky\\\/#\\\/schema\\\/person\\\/a54d62c96edf6df09231bf54f899b865\"},\"headline\":\"M\u00e1 viac bodov rovina alebo priamka?\",\"datePublished\":\"2019-05-07T07:04:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/wp1.science.upjs.sk\\\/nadvakrorky\\\/2019\\\/05\\\/07\\\/ma-viac-bodov-rovina-alebo-priamka\\\/\"},\"wordCount\":121,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/wp1.science.upjs.sk\\\/nadvakrorky\\\/2019\\\/05\\\/07\\\/ma-viac-bodov-rovina-alebo-priamka\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/wp1.science.upjs.sk\\\/nadvakrorky\\\/wp-content\\\/uploads\\\/sites\\\/86\\\/2019\\\/05\\\/teo-duldulao-209122-unsplash-scaled.jpg\",\"articleSection\":[\"Matematika\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/wp1.science.upjs.sk\\\/nadvakrorky\\\/2019\\\/05\\\/07\\\/ma-viac-bodov-rovina-alebo-priamka\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/wp1.science.upjs.sk\\\/nadvakrorky\\\/2019\\\/05\\\/07\\\/ma-viac-bodov-rovina-alebo-priamka\\\/\",\"url\":\"https:\\\/\\\/wp1.science.upjs.sk\\\/nadvakrorky\\\/2019\\\/05\\\/07\\\/ma-viac-bodov-rovina-alebo-priamka\\\/\",\"name\":\"M\u00e1 viac bodov rovina alebo priamka? 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