{"id":1753,"date":"2023-07-25T03:01:29","date_gmt":"2023-07-25T03:01:29","guid":{"rendered":"https:\/\/statorials.org\/pl\/antylog-w-r\/"},"modified":"2023-07-25T03:01:29","modified_gmt":"2023-07-25T03:01:29","slug":"antylog-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/antylog-w-r\/","title":{"rendered":"Jak znale\u017a\u0107 antylog warto\u015bci w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Antylog<\/strong> liczby jest odwrotno\u015bci\u0105 logarytmu liczby.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Je\u015bli wi\u0119c obliczysz logarytm liczby, mo\u017cesz u\u017cy\u0107 antilogu, aby odzyska\u0107 pierwotn\u0105 liczb\u0119.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy na przyk\u0142ad, \u017ce zaczynamy od liczby 7. Je\u015bli we\u017amiemy log (o podstawie 10) liczby 7, otrzymamy 0,845:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>log10<\/sub> (7) = <strong>0,845<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Antylog (podstawa 10) warto\u015bci 0,845 mo\u017cna znale\u017a\u0107, podnosz\u0105c liczb\u0119 10 do pot\u0119gi 0,845:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sup>10845<\/sup> = <strong>7<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Antylog pozwoli\u0142 nam odnale\u017a\u0107 oryginalny numer.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017csza tabela pokazuje, jak obliczy\u0107 antylog warto\u015bci w R na podstawie ich podstawy:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Baza<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Numer<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Ratowa\u0107<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Antylog<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">nie<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">log(x,n)<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">x^n<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">mi<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">gazeta(-y)<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">exp(x)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">dziesi\u0119\u0107<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">log10(x)<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">10^x<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Poni\u017csze przyk\u0142ady pokazuj\u0105, jak obliczy\u0107 antylog warto\u015bci w R przy u\u017cyciu r\u00f3\u017cnych warto\u015bci dla podstawy.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 1: Obliczanie antylogu o podstawie 10<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce bierzemy log (podstawa 10) o warto\u015bci 7:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define original value<\/span>\noriginal = 7\n\n<span style=\"color: #008080;\">#take log (base 10) of original value<\/span>\nlog_original = log10(original)\n\n<span style=\"color: #008080;\">#display log (base 10) of original value<\/span>\nlog_original\n\n[1] 0.845098\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Aby znale\u017a\u0107 pocz\u0105tkow\u0105 warto\u015b\u0107 7, mo\u017cemy wzi\u0105\u0107 antylog, podnosz\u0105c 10 do pot\u0119gi 0,845098:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#take the antilog\n<\/span>10^log_original\n\n[1] 7\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bior\u0105c antylog, uda\u0142o nam si\u0119 uzyska\u0107 pocz\u0105tkow\u0105 warto\u015b\u0107 7.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 2: Obliczanie antylogu logarytmu naturalnego<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce przyjmujemy logarytm naturalny o warto\u015bci 7:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define original value<\/span>\noriginal = 7\n\n<span style=\"color: #008080;\">#take natural log of original value<\/span>\nlog_original = log(original)\n\n<span style=\"color: #008080;\">#display natural log of original value<\/span>\nlog_original\n\n[1] 1.94591\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Aby znale\u017a\u0107 pocz\u0105tkow\u0105 warto\u015b\u0107 7, mo\u017cemy wzi\u0105\u0107 antylog, podnosz\u0105c <em>e<\/em> do pot\u0119gi 1,94591:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#take the antilog\n<\/span>exp(log_original)\n\n[1] 7\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bior\u0105c antylog, uda\u0142o nam si\u0119 uzyska\u0107 pocz\u0105tkow\u0105 warto\u015b\u0107 7.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 3: Obliczanie antylogu podstawy x<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce bierzemy log (podstawa 5) o warto\u015bci 7:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define original value<\/span>\noriginal = 7\n\n<span style=\"color: #008080;\">#take log (base 5) of original value<\/span>\nlog_original = log(original, 5)\n\n<span style=\"color: #008080;\">#display log (base 10) of original value<\/span>\nlog_original\n\n[1] 1.209062\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Aby znale\u017a\u0107 pocz\u0105tkow\u0105 warto\u015b\u0107 7, mo\u017cemy wzi\u0105\u0107 antylog, podnosz\u0105c 5 do pot\u0119gi 1,209062:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#take the antilog\n<\/span>5^log_original\n\n[1] 7\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bior\u0105c antylog, uda\u0142o nam si\u0119 uzyska\u0107 pocz\u0105tkow\u0105 warto\u015b\u0107 7.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pl\/przekszta\u0142cic-dane-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak przekszta\u0142ca\u0107 dane w R (log, pierwiastek kwadratowy, pierwiastek sze\u015bcienny)<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/transformacja-box-coxa-na-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 transformacj\u0119 Boxa-Coxa w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/log-log-dzia\u0142ka-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak utworzy\u0107 wykres log-log w R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Antylog liczby jest odwrotno\u015bci\u0105 logarytmu liczby. Je\u015bli wi\u0119c obliczysz logarytm liczby, mo\u017cesz u\u017cy\u0107 antilogu, aby odzyska\u0107 pierwotn\u0105 liczb\u0119. Za\u0142\u00f3\u017cmy na przyk\u0142ad, \u017ce zaczynamy od liczby 7. Je\u015bli we\u017amiemy log (o podstawie 10) liczby 7, otrzymamy 0,845: log10 (7) = 0,845 Antylog (podstawa 10) warto\u015bci 0,845 mo\u017cna znale\u017a\u0107, podnosz\u0105c liczb\u0119 10 do pot\u0119gi 0,845: 10845 = [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1753","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak znale\u017a\u0107 antylog warto\u015bci w R - Statology<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 antylog warto\u015bci w R, z kilkoma przyk\u0142adami.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pl\/antylog-w-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak znale\u017a\u0107 antylog warto\u015bci w R - Statology\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 antylog warto\u015bci w R, z kilkoma przyk\u0142adami.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/antylog-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T03:01:29+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/antylog-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/antylog-w-r\/\",\"name\":\"Jak znale\u017a\u0107 antylog warto\u015bci w R - Statology\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-25T03:01:29+00:00\",\"dateModified\":\"2023-07-25T03:01:29+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 antylog warto\u015bci w R, z kilkoma przyk\u0142adami.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/antylog-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/antylog-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/antylog-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak znale\u017a\u0107 antylog warto\u015bci w r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. Dzi\u0119ki bogatemu do\u015bwiadczeniu i wiedzy specjalistycznej w dziedzinie statystyki ch\u0119tnie dziel\u0119 si\u0119 swoj\u0105 wiedz\u0105, aby wzmocni\u0107 pozycj\u0119 uczni\u00f3w za po\u015brednictwem Statorials. Wiedzie\u0107 wi\u0119cej\",\"sameAs\":[\"https:\/\/statorials.org\/pl\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Jak znale\u017a\u0107 antylog warto\u015bci w R - Statology","description":"W tym samouczku wyja\u015bniono, jak obliczy\u0107 antylog warto\u015bci w R, z kilkoma przyk\u0142adami.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/pl\/antylog-w-r\/","og_locale":"pl_PL","og_type":"article","og_title":"Jak znale\u017a\u0107 antylog warto\u015bci w R - Statology","og_description":"W tym samouczku wyja\u015bniono, jak obliczy\u0107 antylog warto\u015bci w R, z kilkoma przyk\u0142adami.","og_url":"https:\/\/statorials.org\/pl\/antylog-w-r\/","og_site_name":"Statorials","article_published_time":"2023-07-25T03:01:29+00:00","author":"Benjamin Anderson","twitter_card":"summary_large_image","twitter_misc":{"Napisane przez":"Benjamin Anderson","Szacowany czas czytania":"2 minuty"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/pl\/antylog-w-r\/","url":"https:\/\/statorials.org\/pl\/antylog-w-r\/","name":"Jak znale\u017a\u0107 antylog warto\u015bci w R - Statology","isPartOf":{"@id":"https:\/\/statorials.org\/pl\/#website"},"datePublished":"2023-07-25T03:01:29+00:00","dateModified":"2023-07-25T03:01:29+00:00","author":{"@id":"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965"},"description":"W tym samouczku wyja\u015bniono, jak obliczy\u0107 antylog warto\u015bci w R, z kilkoma przyk\u0142adami.","breadcrumb":{"@id":"https:\/\/statorials.org\/pl\/antylog-w-r\/#breadcrumb"},"inLanguage":"pl-PL","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/pl\/antylog-w-r\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/pl\/antylog-w-r\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Dom","item":"https:\/\/statorials.org\/pl\/"},{"@type":"ListItem","position":2,"name":"Jak znale\u017a\u0107 antylog warto\u015bci w r"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/pl\/#website","url":"https:\/\/statorials.org\/pl\/","name":"Statorials","description":"Tw\u00f3j przewodnik po kompetencjach statystycznych!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/pl\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pl-PL"},{"@type":"Person","@id":"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965","name":"Benjamin Anderson","image":{"@type":"ImageObject","inLanguage":"pl-PL","@id":"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","caption":"Benjamin Anderson"},"description":"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. Dzi\u0119ki bogatemu do\u015bwiadczeniu i wiedzy specjalistycznej w dziedzinie statystyki ch\u0119tnie dziel\u0119 si\u0119 swoj\u0105 wiedz\u0105, aby wzmocni\u0107 pozycj\u0119 uczni\u00f3w za po\u015brednictwem Statorials. Wiedzie\u0107 wi\u0119cej","sameAs":["https:\/\/statorials.org\/pl"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/posts\/1753","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/comments?post=1753"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/posts\/1753\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/media?parent=1753"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/categories?post=1753"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/tags?post=1753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}