{"id":927,"date":"2023-07-28T07:14:37","date_gmt":"2023-07-28T07:14:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/genel-operasyonlar\/"},"modified":"2023-07-28T07:14:37","modified_gmt":"2023-07-28T07:14:37","slug":"genel-operasyonlar","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/genel-operasyonlar\/","title":{"rendered":"K\u00fcmeler \u00fczerinde i\u015flemler: birle\u015fim, kesi\u015fim, t\u00fcmleyen ve fark"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir <strong>k\u00fcme,<\/strong> \u00f6\u011felerin bir koleksiyonudur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir k\u00fcmeyi b\u00fcy\u00fck harfle belirtiriz ve k\u00fcmenin elemanlar\u0131n\u0131 k\u00fcme parantezleri kullanarak tan\u0131mlar\u0131z. \u00d6rne\u011fin, elemanlar\u0131 1, 2, 3 olan &#8220;A&#8221; ad\u0131nda bir k\u00fcmemiz oldu\u011funu varsayal\u0131m. Bunu \u015fu \u015fekilde yazabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>bir = {1, 2, 3}<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde olas\u0131l\u0131k ve istatistikte en s\u0131k kullan\u0131lan <strong>k\u00fcme i\u015flemleri<\/strong> a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>birlik<\/strong><\/span> <\/h3>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9807 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/setops1.png\" alt=\"Birle\u015fim seti i\u015flemi\" width=\"450\" height=\"257\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tan\u0131m:<\/strong> A ve B k\u00fcmelerinin <em>birle\u015fimi,<\/em> A veya B&#8217;de bulunan elemanlar\u0131n k\u00fcmesidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Derecelendirme:<\/strong> A \u222a B<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnekler:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">{1, 2, 3} \u222a {4, 5, 6} = {1, 2, 3, 4, 5, 6}<\/span><\/li>\n<li> <span style=\"color: #000000;\">{1, 2} \u222a {1, 2} = {1, 2}<\/span><\/li>\n<li> <span style=\"color: #000000;\">{1, 2, 3} \u222a {3, 4} = {1, 2, 3, 4}<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Kav\u015fak<\/strong><\/span> <\/h3>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9811 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/setops2.png\" alt=\"Kesi\u015fme seti i\u015flemi\" width=\"459\" height=\"258\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tan\u0131m:<\/strong> A ve B k\u00fcmelerinin <em>kesi\u015fimi<\/em> , hem A hem de B&#8217;de bulunan elemanlar\u0131n k\u00fcmesidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00f6sterim:<\/strong> A \u2229 B<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnekler:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">{1, 2, 3} \u2229 {4, 5, 6} = {\u2205}<\/span><\/li>\n<li> <span style=\"color: #000000;\">{1, 2} \u2229 {1, 2} = {1, 2}<\/span><\/li>\n<li> <span style=\"color: #000000;\">{1, 2, 3} \u2229 {3, 4} = {3}<\/span><\/li>\n<\/ul>\n<h3> <strong>Tamamlay\u0131c\u0131<\/strong> <\/h3>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9814 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/setops4.png\" alt=\"Tamamlay\u0131c\u0131 genel operasyon\" width=\"455\" height=\"262\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tan\u0131m:<\/strong> A k\u00fcmesinin <em>t\u00fcmleyeni<\/em> , U evrensel k\u00fcmesinde bulunan ancak A k\u00fcmesinde olmayan elemanlar\u0131n k\u00fcmesidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Derecelendirme:<\/strong> A&#8217; veya <sup>Ac<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnekler:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">E\u011fer U = {1, 2, 3, 4, 5, 6} ve A = {1, 2} ise A <sup>c<\/sup> = {3, 4, 5, 6}<\/span><\/li>\n<li> <span style=\"color: #000000;\">E\u011fer U = {1, 2, 3} ve A = {1, 2} ise A <sup>c<\/sup> = {3}<\/span><\/li>\n<\/ul>\n<h3> <strong>Fark<\/strong> <\/h3>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9812 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/setops3.png\" alt=\"Fark ayarlama i\u015flemi\" width=\"454\" height=\"257\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tan\u0131m:<\/strong> A ve B k\u00fcmeleri aras\u0131ndaki <em>fark<\/em> , A&#8217;da bulunan ancak B&#8217;de bulunmayan elemanlar\u0131n k\u00fcmesidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Derecelendirmeler:<\/strong> A\u2013B<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnekler:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">{1, 2, 3} \u2013 {2, 3, 4} = {1}<\/span><\/li>\n<li> <span style=\"color: #000000;\">{1, 2} \u2013 {1, 2} = {\u2205}<\/span><\/li>\n<li> <span style=\"color: #000000;\">{1, 2, 3} \u2013 {4, 5} = {1, 2, 3}<\/span><\/li>\n<\/ul>\n<h3> <strong>Simetrik fark<\/strong> <\/h3>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9815 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/setops5.png\" alt=\"\u0130ki set aras\u0131ndaki simetrik fark\" width=\"462\" height=\"262\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tan\u0131m:<\/strong> A ve B k\u00fcmelerinin <em>simetrik fark\u0131,<\/em> A veya B&#8217;de bulunan, ancak her ikisinde de bulunmayan elemanlar\u0131n k\u00fcmesidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Derecelendirme:<\/strong> A\u0394B<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnekler:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">{1, 2, 3} \u0394 {2, 3, 4} = {1, 4}<\/span><\/li>\n<li> <span style=\"color: #000000;\">{1, 2} \u0394 {1, 2} = {\u2205}<\/span><\/li>\n<li> <span style=\"color: #000000;\">{1, 2, 3} \u0394 {4, 5} = {1, 2, 3, 4, 5}<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Kartezyen \u00fcr\u00fcn<\/strong><\/span> <\/h3>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9816 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/setops6.png\" alt=\"\u0130ki k\u00fcmenin kartezyen \u00e7arp\u0131m\u0131\" width=\"369\" height=\"263\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tan\u0131m:<\/strong> A ve B k\u00fcmelerinin <em>Kartezyen \u00e7arp\u0131m\u0131<\/em> , A ve B&#8217;nin s\u0131ral\u0131 \u00e7iftlerinin k\u00fcmesidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Derecelendirme:<\/strong> A x B<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnekler:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">E\u011fer A = {H, T} ve B = {1, 2, 3} ise, bu durumda A x B = {(H, 1), (H, 2), (H, 3), (T, 1), ( T, 2), (T, 3)}<\/span><\/li>\n<li> <span style=\"color: #000000;\">E\u011fer A = {T, H} ve B = {1, 2, 3} ise, bu durumda A x B = {(T, 1), (T, 2), (T, 3), (H, 1), ( H, 2), (H, 3)}<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Bir k\u00fcme, \u00f6\u011felerin bir koleksiyonudur. Bir k\u00fcmeyi b\u00fcy\u00fck harfle belirtiriz ve k\u00fcmenin elemanlar\u0131n\u0131 k\u00fcme parantezleri kullanarak tan\u0131mlar\u0131z. \u00d6rne\u011fin, elemanlar\u0131 1, 2, 3 olan &#8220;A&#8221; ad\u0131nda bir k\u00fcmemiz oldu\u011funu varsayal\u0131m. Bunu \u015fu \u015fekilde yazabiliriz: bir = {1, 2, 3} Bu e\u011fitimde olas\u0131l\u0131k ve istatistikte en s\u0131k kullan\u0131lan k\u00fcme i\u015flemleri a\u00e7\u0131klanmaktad\u0131r. birlik Tan\u0131m: A ve B k\u00fcmelerinin [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-927","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>K\u00fcmeler \u00fczerinde i\u015flemler: birle\u015fim, kesi\u015fim, t\u00fcmleyen ve fark<\/title>\n<meta name=\"description\" content=\"Tan\u0131mlar ve \u00f6rnekler de dahil olmak \u00fczere set i\u015flemlerine yumu\u015fak bir giri\u015f.\" \/>\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\/tr\/genel-operasyonlar\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"K\u00fcmeler \u00fczerinde i\u015flemler: birle\u015fim, kesi\u015fim, t\u00fcmleyen ve fark\" \/>\n<meta property=\"og:description\" content=\"Tan\u0131mlar ve \u00f6rnekler de dahil olmak \u00fczere set i\u015flemlerine yumu\u015fak bir giri\u015f.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/genel-operasyonlar\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T07:14:37+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/setops1.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/genel-operasyonlar\/\",\"url\":\"https:\/\/statorials.org\/tr\/genel-operasyonlar\/\",\"name\":\"K\u00fcmeler \u00fczerinde i\u015flemler: birle\u015fim, kesi\u015fim, t\u00fcmleyen ve fark\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T07:14:37+00:00\",\"dateModified\":\"2023-07-28T07:14:37+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Tan\u0131mlar ve \u00f6rnekler de dahil olmak \u00fczere set i\u015flemlerine yumu\u015fak bir giri\u015f.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/genel-operasyonlar\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/genel-operasyonlar\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/genel-operasyonlar\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"K\u00fcmeler \u00fczerinde i\u015flemler: birle\u015fim, kesi\u015fim, t\u00fcmleyen ve fark\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"K\u00fcmeler \u00fczerinde i\u015flemler: birle\u015fim, kesi\u015fim, t\u00fcmleyen ve fark","description":"Tan\u0131mlar ve \u00f6rnekler de dahil olmak \u00fczere set i\u015flemlerine yumu\u015fak bir giri\u015f.","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\/tr\/genel-operasyonlar\/","og_locale":"tr_TR","og_type":"article","og_title":"K\u00fcmeler \u00fczerinde i\u015flemler: birle\u015fim, kesi\u015fim, t\u00fcmleyen ve fark","og_description":"Tan\u0131mlar ve \u00f6rnekler de dahil olmak \u00fczere set i\u015flemlerine yumu\u015fak bir giri\u015f.","og_url":"https:\/\/statorials.org\/tr\/genel-operasyonlar\/","og_site_name":"Statorials","article_published_time":"2023-07-28T07:14:37+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/setops1.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"1 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/genel-operasyonlar\/","url":"https:\/\/statorials.org\/tr\/genel-operasyonlar\/","name":"K\u00fcmeler \u00fczerinde i\u015flemler: birle\u015fim, kesi\u015fim, t\u00fcmleyen ve fark","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-07-28T07:14:37+00:00","dateModified":"2023-07-28T07:14:37+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Tan\u0131mlar ve \u00f6rnekler de dahil olmak \u00fczere set i\u015flemlerine yumu\u015fak bir giri\u015f.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/genel-operasyonlar\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/genel-operasyonlar\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/genel-operasyonlar\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"K\u00fcmeler \u00fczerinde i\u015flemler: birle\u015fim, kesi\u015fim, t\u00fcmleyen ve fark"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/tr\/#website","url":"https:\/\/statorials.org\/tr\/","name":"Statorials","description":"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/tr\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"tr"},{"@type":"Person","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48","name":"Dr.benjamin anderson","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Dr.benjamin anderson"},"description":"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/927","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=927"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/927\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=927"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=927"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=927"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}