{"id":3243,"date":"2023-07-18T12:10:45","date_gmt":"2023-07-18T12:10:45","guid":{"rendered":"https:\/\/statorials.org\/pl\/os-cyfrowa\/"},"modified":"2023-07-18T12:10:45","modified_gmt":"2023-07-18T12:10:45","slug":"os-cyfrowa","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/os-cyfrowa\/","title":{"rendered":"Proste wyja\u015bnienie osi numpy (z przyk\u0142adami)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Wiele funkcji w <a href=\"https:\/\/numpy.org\/\" target=\"_blank\" rel=\"noopener\">NumPy<\/a> wymaga okre\u015blenia osi, wzd\u0142u\u017c kt\u00f3rej maj\u0105 zosta\u0107 zastosowane okre\u015blone obliczenia.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Generalnie obowi\u0105zuje nast\u0119puj\u0105ca zasada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>o\u015b=0<\/strong> : Zastosuj obliczenia \u201ena kolumn\u0119\u201d.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>o\u015b=1<\/strong> : Zastosuj obliczenia \u201ena lini\u0119\u201d.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Poni\u017cszy obraz przedstawia wizualn\u0105 reprezentacj\u0119 osi w macierzy NumPy z 2 wierszami i 4 kolumnami:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-27486\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/numpyaxis1.jpg\" alt=\"Osie NumPy\" width=\"541\" height=\"224\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017csze przyk\u0142ady pokazuj\u0105, jak u\u017cywa\u0107 argumentu <strong>osi<\/strong> w r\u00f3\u017cnych scenariuszach z nast\u0119puj\u0105c\u0105 macierz\u0105 NumPy:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #ff0000;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n\n<span style=\"color: #008080;\">#create NumPy matrix\n<\/span>my_matrix = np. <span style=\"color: #3366ff;\">matrix<\/span> ([[1, 4, 7, 8], [5, 10, 12, 14]])\n\n<span style=\"color: #008080;\">#view NumPy matrix\n<\/span>my_matrix\n\nmatrix([[ 1, 4, 7, 8],\n        [5, 10, 12, 14]])\n<\/span><\/span><\/strong><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 1: Znajdowanie \u015bredniej wzd\u0142u\u017c r\u00f3\u017cnych osi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Mo\u017cemy u\u017cy\u0107 <strong>osi=0<\/strong> , aby znale\u017a\u0107 \u015bredni\u0105 z ka\u017cdej kolumny macierzy NumPy:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#find mean of each column in matrix\n<\/span>n.p. <span style=\"color: #3366ff;\">mean<\/span> (my_matrix, axis= <span style=\"color: #008000;\">0<\/span> )\n\nmatrix([[ 3. , 7. , 9.5, 11. ]])\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Dane wyj\u015bciowe pokazuj\u0105 \u015bredni\u0105 warto\u015b\u0107 ka\u017cdej kolumny macierzy.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u015arednia warto\u015b\u0107 pierwszej kolumny to (1 + 5) \/ 2 = <strong>3<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u015arednia warto\u015b\u0107 drugiej kolumny to (4 + 10) \/ 2 = <strong>7<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">I tak dalej.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cemy r\u00f3wnie\u017c u\u017cy\u0107 <strong>osi=1<\/strong> , aby znale\u017a\u0107 \u015bredni\u0105 z ka\u017cdego wiersza w macierzy:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#find mean of each row in matrix\n<\/span>n.p. <span style=\"color: #3366ff;\">mean<\/span> (my_matrix, axis= <span style=\"color: #008000;\">1<\/span> )\n\nmatrix([[ 5. ],\n        [10.25]])<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Dane wyj\u015bciowe pokazuj\u0105 \u015bredni\u0105 warto\u015b\u0107 ka\u017cdego wiersza macierzy.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u015arednia warto\u015b\u0107 w pierwszym rz\u0119dzie to (1+4+7+8) \/ 4 = <strong>5<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u015arednia warto\u015b\u0107 w drugim rz\u0119dzie to (5+10+12+14) \/ 4 = <strong>10,25<\/strong> .<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 2: Znajdowanie sumy wzd\u0142u\u017c r\u00f3\u017cnych osi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Mo\u017cemy u\u017cy\u0107 <strong>osi=0<\/strong> , aby znale\u017a\u0107 sum\u0119 ka\u017cdej kolumny macierzy:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#find sum of each column in matrix\n<\/span>n.p. <span style=\"color: #3366ff;\">sum<\/span> (my_matrix, axis= <span style=\"color: #008000;\">0<\/span> )\n\nmatrix([[ 6, 14, 19, 22]])\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Dane wyj\u015bciowe pokazuj\u0105 sum\u0119 ka\u017cdej kolumny macierzy.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Suma pierwszej kolumny to 1 + 5 = <strong>6<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Suma drugiej kolumny wynosi 4 + 10 = <strong>14<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">I tak dalej.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cemy r\u00f3wnie\u017c u\u017cy\u0107 <strong>osi=1<\/strong> , aby znale\u017a\u0107 sum\u0119 ka\u017cdego wiersza macierzy:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#find sum of each row in matrix\n<\/span>n.p. <span style=\"color: #3366ff;\">sum<\/span> (my_matrix, axis= <span style=\"color: #008000;\">1<\/span> )\n\nmatrix([[20],\n        [41]])<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Dane wyj\u015bciowe pokazuj\u0105 sum\u0119 ka\u017cdego wiersza macierzy.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Suma pierwszego wiersza to 1+4+7+8 = <strong>20<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Suma drugiej linii wynosi 5+10+12+14 = <strong>41<\/strong> .<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak wykonywa\u0107 inne typowe operacje w NumPy:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/numpy-losowa-macierz\/\" target=\"_blank\" rel=\"noopener\">Jak utworzy\u0107 macierz NumPy z liczbami losowymi<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/numpy-macierz-normalizacji\/\" target=\"_blank\" rel=\"noopener\">Jak znormalizowa\u0107 macierz NumPy<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/numpy-dodaj-wiersz-do-macierzy\/\" target=\"_blank\" rel=\"noopener\">Jak doda\u0107 wiersz do macierzy w NumPy<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Wiele funkcji w NumPy wymaga okre\u015blenia osi, wzd\u0142u\u017c kt\u00f3rej maj\u0105 zosta\u0107 zastosowane okre\u015blone obliczenia. Generalnie obowi\u0105zuje nast\u0119puj\u0105ca zasada: o\u015b=0 : Zastosuj obliczenia \u201ena kolumn\u0119\u201d. o\u015b=1 : Zastosuj obliczenia \u201ena lini\u0119\u201d. Poni\u017cszy obraz przedstawia wizualn\u0105 reprezentacj\u0119 osi w macierzy NumPy z 2 wierszami i 4 kolumnami: Poni\u017csze przyk\u0142ady pokazuj\u0105, jak u\u017cywa\u0107 argumentu osi w r\u00f3\u017cnych scenariuszach [&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-3243","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>Proste wyja\u015bnienie osi NumPy (z przyk\u0142adami) - Statorials<\/title>\n<meta name=\"description\" content=\"Ten samouczek zawiera proste wyja\u015bnienie osi NumPy, w tym kilka przyk\u0142ad\u00f3w.\" \/>\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\/os-cyfrowa\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Proste wyja\u015bnienie osi NumPy (z przyk\u0142adami) - Statorials\" \/>\n<meta property=\"og:description\" content=\"Ten samouczek zawiera proste wyja\u015bnienie osi NumPy, w tym kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/os-cyfrowa\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-18T12:10:45+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/numpyaxis1.jpg\" \/>\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\/os-cyfrowa\/\",\"url\":\"https:\/\/statorials.org\/pl\/os-cyfrowa\/\",\"name\":\"Proste wyja\u015bnienie osi NumPy (z przyk\u0142adami) - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-18T12:10:45+00:00\",\"dateModified\":\"2023-07-18T12:10:45+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Ten samouczek zawiera proste wyja\u015bnienie osi NumPy, w tym kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/os-cyfrowa\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/os-cyfrowa\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/os-cyfrowa\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Proste wyja\u015bnienie osi numpy (z przyk\u0142adami)\"}]},{\"@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. 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