{"id":365,"date":"2023-07-04T14:44:12","date_gmt":"2023-07-04T14:44:12","guid":{"rendered":"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/"},"modified":"2023-07-04T14:44:12","modified_gmt":"2023-07-04T14:44:12","slug":"gorev-suresinin-periyodikligi","status":"publish","type":"post","link":"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/","title":{"rendered":"Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)"},"content":{"rendered":"<p>Bu yaz\u0131da bir fonksiyonun periyodikli\u011finin ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. Ayr\u0131ca periyodik fonksiyonlar\u0131n \u00e7e\u015fitli \u00f6rneklerini g\u00f6receksiniz. Son olarak trigonometrik fonksiyonlar\u0131n en \u00f6nemli \u00f6zelliklerinden biri oldu\u011fu i\u00e7in periyodunu analiz edece\u011fiz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-periodicidad-de-una-funcion\"><\/span> Bir fonksiyonun periyodikli\u011fi nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Bir fonksiyonun periyodikli\u011fi, de\u011ferlerini d\u00f6ng\u00fcsel olarak tekrarlayan fonksiyonlar\u0131n bir \u00f6zelli\u011fidir, yani bir fonksiyon, grafi\u011fi belirli aral\u0131klarla tekrarlan\u0131yorsa periyodiktir. Bu aral\u0131\u011fa periyot denir.<\/strong> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/periodicite-dune-fonction.webp\" alt=\"Bir fonksiyonun periyodikli\u011fi\" class=\"wp-image-328\" width=\"348\" height=\"249\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Matematiksel olarak bir fonksiyon sadece yerine getiriliyorsa periyodik olarak tan\u0131mlan\u0131r.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a459750e9149a1753a7173d6e0761e95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=f(x+T)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<p> ba\u011f\u0131ms\u0131z de\u011fi\u015fken x&#8217;in herhangi bir de\u011feri i\u00e7in.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-762d2702efece63b455dc96e3ca7366c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=f(x+T)=f(x+2T)=f(x+3T)=\\ldots=f(x+kT)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"476\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <em>T,<\/em> i <em>k<\/em> tamsay\u0131 periyodik fonksiyonunun periyodudur. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-periodicidades-de-funciones\"><\/span> Fonksiyon periyodikliklerine \u00f6rnekler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir fonksiyonun periyodikli\u011fi kavram\u0131n\u0131 g\u00f6rd\u00fckten sonra, bir fonksiyonun periyodikli\u011finin nas\u0131l hesaplanaca\u011f\u0131na dair birka\u00e7 \u00f6rnek g\u00f6rece\u011fiz.<\/p>\n<h3 class=\"wp-block-heading\"> \u00f6rnek 1<\/h3>\n<p> A\u015fa\u011f\u0131daki fonksiyonun periyodik olup olmad\u0131\u011f\u0131n\u0131 belirleyin: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-fonction-periodique.webp\" alt=\"periyodik fonksiyon \u00f6rne\u011fi\" class=\"wp-image-331\" width=\"636\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Bu par\u00e7al\u0131 tan\u0131ml\u0131 fonksiyon, grafi\u011finin de\u011ferleri d\u00f6ng\u00fcsel olarak tekrarland\u0131\u011f\u0131ndan periyodik bir fonksiyondur. Daha do\u011frusu fonksiyon her alt\u0131 x&#8217;te ayn\u0131 de\u011feri al\u0131r, dolay\u0131s\u0131yla fonksiyonun periyodu 6&#8217;ya e\u015fittir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73bf76dfe01364f5d6e7696a532ce649_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T=6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"45\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \u00d6rnek 2<\/h3>\n<p> A\u015fa\u011f\u0131daki fonksiyonun periyodikli\u011fini bulun: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-graphique-cosinus.webp\" alt=\"\" class=\"wp-image-293\" width=\"742\" height=\"207\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Bu fonksiyon, trigonometrik bir fonksiyonun, daha do\u011frusu kosin\u00fcs fonksiyonunun grafik temsiline kar\u015f\u0131l\u0131k gelir.<\/p>\n<p> Grafikten de g\u00f6rebilece\u011fimiz gibi fonksiyon de\u011ferlerini periyodik olarak tekrarl\u0131yor yani periyodik bir fonksiyondur. Ek olarak, dalgan\u0131n tepe noktas\u0131 ile tepe noktas\u0131 aras\u0131nda 2\u03c0 (veya 360\u00b0) bo\u015fluk vard\u0131r, dolay\u0131s\u0131yla bu, fonksiyonun periyodudur. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e276a686cc8bb006030ce506a388e708_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T=2\\pi\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"periodicidad-de-funciones-trigonometricas\"><\/span> Trigonometrik fonksiyonlar\u0131n periyodikli\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Periyodiklik ve trigonometrik fonksiyonlar yak\u0131ndan ili\u015fkilidir, asl\u0131nda bu t\u00fcr fonksiyonlar\u0131n temel \u00f6zelliklerinden biri trigonometrik fonksiyonlar\u0131n \u00e7o\u011funun periyodik olmas\u0131d\u0131r.<\/p>\n<p> Daha sonra 3 ana trigonometrik fonksiyonun periyodikli\u011fini inceleyece\u011fiz: sin\u00fcs, kosin\u00fcs ve tanjant.<\/p>\n<h3 class=\"wp-block-heading\"> Sin\u00fcs fonksiyon periyodu<\/h3>\n<p> Sin\u00fcs fonksiyonunun ifadesi a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3ef34795a3bfccbfb3b0219ab0ddc3b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= A\\text{sen}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"132\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Bu durumda, periyodunu bulmak i\u00e7in fonksiyonun grafi\u011fini \u00e7izmeye gerek yoktur, ancak a\u015fa\u011f\u0131daki form\u00fcl uygulanarak basit\u00e7e hesaplanabilir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e76a82833c0a1d358166343d2e82e4d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle T=\\cfrac{2\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Ek olarak sin\u00fcs fonksiyonunun \u00f6zelli\u011fi, periyodunu de\u011fi\u015ftirirsek grafi\u011finin \u015feklini de de\u011fi\u015ftirmemizdir. D\u00f6nem de\u011ferinin grafik g\u00f6sterimini nas\u0131l etkiledi\u011fini a\u015fa\u011f\u0131daki ba\u011flant\u0131dan g\u00f6rebilirsiniz:<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/tr\/sinus-fonksiyonu\/\">Sin\u00fcs fonksiyonunun grafi\u011fi<\/a><\/span><\/p>\n<h3 class=\"wp-block-heading\"> Kosin\u00fcs fonksiyonunun periyodu<\/h3>\n<p> Kosin\u00fcs fonksiyonunun cebirsel ifadesi a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d7700fc10f642ba455e6ed144d6d920_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= A\\text{cos}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Sin\u00fcsde oldu\u011fu gibi kosin\u00fcs fonksiyonunun periyodu do\u011frudan a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak bulunabilir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e76a82833c0a1d358166343d2e82e4d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle T=\\cfrac{2\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Kosin\u00fcs periyodunun de\u011feri tamamen grafi\u011fini belirler, a\u015fa\u011f\u0131daki ba\u011flant\u0131ya t\u0131klay\u0131n ve nedenini \u00f6\u011frenin:<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/tr\/sinus-fonksiyonu\/\">Kosin\u00fcs fonksiyonunun grafi\u011fi<\/a><\/span><\/p>\n<h3 class=\"wp-block-heading\"> Te\u011fet fonksiyonunun periyodu<\/h3>\n<p> Te\u011fet fonksiyonu matematiksel olarak tan\u0131mlan\u0131r:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e5e2cc1f194f1a7fee12fa1156ad3fa6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\text{tg}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"110\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Te\u011fet fonksiyonunun periyodu sin\u00fcs ve kosin\u00fcs ile ayn\u0131 form\u00fclle hesaplan\u0131r:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e76a82833c0a1d358166343d2e82e4d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle T=\\cfrac{2\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Ancak te\u011fet fonksiyon grafi\u011fi sin\u00fcs ve kosin\u00fcs grafiklerinden farkl\u0131d\u0131r \u00e7\u00fcnk\u00fc periyodik olarak tekrarlanan asimptotlara da sahiptir. Bu trigonometrik fonksiyonun bunu ve di\u011fer \u00f6zelliklerini a\u015fa\u011f\u0131daki ba\u011flant\u0131da g\u00f6rebilirsiniz:<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/\">Te\u011fet fonksiyonunun grafi\u011fi<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu yaz\u0131da bir fonksiyonun periyodikli\u011finin ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. Ayr\u0131ca periyodik fonksiyonlar\u0131n \u00e7e\u015fitli \u00f6rneklerini g\u00f6receksiniz. Son olarak trigonometrik fonksiyonlar\u0131n en \u00f6nemli \u00f6zelliklerinden biri oldu\u011fu i\u00e7in periyodunu analiz edece\u011fiz. Bir fonksiyonun periyodikli\u011fi nedir? Bir fonksiyonun periyodikli\u011fi, de\u011ferlerini d\u00f6ng\u00fcsel olarak tekrarlayan fonksiyonlar\u0131n bir \u00f6zelli\u011fidir, yani bir fonksiyon, grafi\u011fi belirli aral\u0131klarla tekrarlan\u0131yorsa periyodiktir. Bu aral\u0131\u011fa periyot denir. Matematiksel olarak &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/\"> <span class=\"screen-reader-text\">Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)<\/span> Devam\u0131 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-365","post","type-post","status-publish","format-standard","hentry","category-fonksiyon-gosterimi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)<\/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:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)\" \/>\n<meta property=\"og:description\" content=\"Bu yaz\u0131da bir fonksiyonun periyodikli\u011finin ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. Ayr\u0131ca periyodik fonksiyonlar\u0131n \u00e7e\u015fitli \u00f6rneklerini g\u00f6receksiniz. Son olarak trigonometrik fonksiyonlar\u0131n en \u00f6nemli \u00f6zelliklerinden biri oldu\u011fu i\u00e7in periyodunu analiz edece\u011fiz. Bir fonksiyonun periyodikli\u011fi nedir? Bir fonksiyonun periyodikli\u011fi, de\u011ferlerini d\u00f6ng\u00fcsel olarak tekrarlayan fonksiyonlar\u0131n bir \u00f6zelli\u011fidir, yani bir fonksiyon, grafi\u011fi belirli aral\u0131klarla tekrarlan\u0131yorsa periyodiktir. Bu aral\u0131\u011fa periyot denir. Matematiksel olarak &hellip; Bir fonksiyonun periyodikli\u011fi (d\u00f6nem) Devam\u0131 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-04T14:44:12+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/periodicite-dune-fonction.webp\" \/>\n<meta name=\"author\" content=\"Mathority Ekibi\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority Ekibi\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/\"},\"author\":{\"name\":\"Mathority Ekibi\",\"@id\":\"https:\/\/mathority.org\/tr\/#\/schema\/person\/45cab21b13819e150f15eb50b4532960\"},\"headline\":\"Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)\",\"datePublished\":\"2023-07-04T14:44:12+00:00\",\"dateModified\":\"2023-07-04T14:44:12+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/\"},\"wordCount\":517,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/tr\/#organization\"},\"articleSection\":[\"Fonksiyon g\u00f6sterimi\"],\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/\",\"url\":\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/\",\"name\":\"Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/tr\/#website\"},\"datePublished\":\"2023-07-04T14:44:12+00:00\",\"dateModified\":\"2023-07-04T14:44:12+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/tr\/#website\",\"url\":\"https:\/\/mathority.org\/tr\/\",\"name\":\"Mathority\",\"description\":\"Merak\u0131n hesaplamayla bulu\u015ftu\u011fu yer!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/tr\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/tr\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/tr\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/mathority.org\/tr\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/tr\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/tr\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/tr\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/tr\/#\/schema\/person\/45cab21b13819e150f15eb50b4532960\",\"name\":\"Mathority Ekibi\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/mathority.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"Mathority Ekibi\"},\"sameAs\":[\"http:\/\/mathority.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)","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:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/","og_locale":"tr_TR","og_type":"article","og_title":"Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)","og_description":"Bu yaz\u0131da bir fonksiyonun periyodikli\u011finin ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. Ayr\u0131ca periyodik fonksiyonlar\u0131n \u00e7e\u015fitli \u00f6rneklerini g\u00f6receksiniz. Son olarak trigonometrik fonksiyonlar\u0131n en \u00f6nemli \u00f6zelliklerinden biri oldu\u011fu i\u00e7in periyodunu analiz edece\u011fiz. Bir fonksiyonun periyodikli\u011fi nedir? Bir fonksiyonun periyodikli\u011fi, de\u011ferlerini d\u00f6ng\u00fcsel olarak tekrarlayan fonksiyonlar\u0131n bir \u00f6zelli\u011fidir, yani bir fonksiyon, grafi\u011fi belirli aral\u0131klarla tekrarlan\u0131yorsa periyodiktir. Bu aral\u0131\u011fa periyot denir. Matematiksel olarak &hellip; Bir fonksiyonun periyodikli\u011fi (d\u00f6nem) Devam\u0131 &raquo;","og_url":"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/","article_published_time":"2023-07-04T14:44:12+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/periodicite-dune-fonction.webp"}],"author":"Mathority Ekibi","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Mathority Ekibi","Tahmini okuma s\u00fcresi":"3 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/"},"author":{"name":"Mathority Ekibi","@id":"https:\/\/mathority.org\/tr\/#\/schema\/person\/45cab21b13819e150f15eb50b4532960"},"headline":"Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)","datePublished":"2023-07-04T14:44:12+00:00","dateModified":"2023-07-04T14:44:12+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/"},"wordCount":517,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/tr\/#organization"},"articleSection":["Fonksiyon g\u00f6sterimi"],"inLanguage":"tr","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/","url":"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/","name":"Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)","isPartOf":{"@id":"https:\/\/mathority.org\/tr\/#website"},"datePublished":"2023-07-04T14:44:12+00:00","dateModified":"2023-07-04T14:44:12+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/tr\/gorev-suresinin-periyodikligi\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Bir fonksiyonun periyodikli\u011fi (d\u00f6nem)"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/tr\/#website","url":"https:\/\/mathority.org\/tr\/","name":"Mathority","description":"Merak\u0131n hesaplamayla bulu\u015ftu\u011fu yer!","publisher":{"@id":"https:\/\/mathority.org\/tr\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/tr\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"tr"},{"@type":"Organization","@id":"https:\/\/mathority.org\/tr\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/tr\/","logo":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/mathority.org\/tr\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/tr\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/tr\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/tr\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/tr\/#\/schema\/person\/45cab21b13819e150f15eb50b4532960","name":"Mathority Ekibi","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/mathority.org\/tr\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","caption":"Mathority Ekibi"},"sameAs":["http:\/\/mathority.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/tr\/wp-json\/wp\/v2\/posts\/365","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/tr\/wp-json\/wp\/v2\/comments?post=365"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/tr\/wp-json\/wp\/v2\/posts\/365\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/tr\/wp-json\/wp\/v2\/media?parent=365"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/tr\/wp-json\/wp\/v2\/categories?post=365"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/tr\/wp-json\/wp\/v2\/tags?post=365"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}