{"id":25632,"date":"2014-08-01T12:15:29","date_gmt":"2014-08-01T09:15:29","guid":{"rendered":"https:\/\/bilimvegelecek.com.tr\/?p=25632"},"modified":"2018-05-16T12:16:28","modified_gmt":"2018-05-16T09:16:28","slug":"bu-yarismayi-kazanabilir-misiniz","status":"publish","type":"post","link":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz","title":{"rendered":"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz?"},"content":{"rendered":"<p>Ger\u00e7ek\u00fcst\u00fc say\u0131labilecek bu yar\u0131\u015fmada iki ki\u015filik bir ekip yar\u0131\u015f\u0131yor. Yar\u0131\u015fmac\u0131lardan birinin kula\u011f\u0131na pozitif bir tamsay\u0131, di\u011ferinin kula\u011f\u0131na da bu say\u0131n\u0131n ard\u0131\u015f\u0131\u011f\u0131 (bir eksi\u011fi ya da bir fazlas\u0131) olan pozitif tamsay\u0131 f\u0131s\u0131ldan\u0131yor. Aralar\u0131nda ileti\u015fim kurmalar\u0131na izin verilmeyen yar\u0131\u015fmac\u0131lardan gong sesini duyduklar\u0131nda birbirlerinin say\u0131lar\u0131n\u0131 tahmin etmeleri isteniyor. Gong bir dakika arayla \u00e7al\u0131yor ve tahminlerini sadece gong \u00e7ald\u0131ktan sonra a\u00e7\u0131klayabiliyorlar, ama ka\u00e7\u0131nc\u0131 gong sesinde a\u00e7\u0131klama yapacaklar\u0131na kendileri karar veriyor, yani sessiz kalma haklar\u0131 var. \u00d6rne\u011fin gongun ilk elli \u00e7al\u0131\u015f\u0131nda sessiz kal\u0131p, elli birincide birbirlerinin say\u0131lar\u0131n\u0131 s\u00f6yleyebilirler. Yanl\u0131\u015f yan\u0131t verdiklerindeyse yar\u0131\u015fmay\u0131 kaybediyorlar.<\/p>\n<p>Bu yar\u0131\u015fmaya mant\u0131k problemlerine merakl\u0131 bir arkada\u015f\u0131n\u0131zla kat\u0131lsan\u0131z \u015fans\u0131n\u0131za g\u00fcvenmeden her defas\u0131nda kazanabilir misiniz?<\/p>\n<p>\u015eans\u0131n\u0131za g\u00fcveniyorsan\u0131z ve \u00e7ok \u00e7ok \u00e7ok \u015fansl\u0131ysan\u0131z, herhangi iki ard\u0131\u015f\u0131k pozitif tamsay\u0131y\u0131 atarak tutturur, ilk gong sesinden sonra kazan\u0131rs\u0131n\u0131z, ama {1, 2, 3, \u2026<em>n<\/em>} k\u00fcmesinde <em>n<\/em>\u2019yi sonsuza g\u00f6t\u00fcrd\u00fc\u011f\u00fcm\u00fczde belli ard\u0131\u015f\u0131k iki say\u0131y\u0131 bulma olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131ra yakla\u015f\u0131yor. \u015eans fakt\u00f6r\u00fc yok denebilecek kadar zay\u0131f. Peki, bu yar\u0131\u015fmay\u0131 daima kazanabilir miyiz? Yar\u0131\u015fmac\u0131lar birbirlerinin say\u0131lar\u0131n\u0131 bulabilmek i\u00e7in nas\u0131l bir yol izlemeliler?<\/p>\n<p>Sorudaki p\u00fcf noktas\u0131n\u0131n gong sesi oldu\u011funu fark etmi\u015fsinizdir san\u0131r\u0131m. E\u011fer yar\u0131\u015fmac\u0131lar\u0131n gong \u00e7ald\u0131\u011f\u0131nda susma haklar\u0131 bulunmasayd\u0131, aralar\u0131nda ileti\u015fim kurmalar\u0131na da izin verilmedi\u011finden yar\u0131\u015fmay\u0131 kazanmalar\u0131 neredeyse imk\u00e2ns\u0131z olacakt\u0131. Ama gong sesi sayesinde sorunun g\u00fczel bir \u00e7\u00f6z\u00fcm\u00fc var, \u00fcstelik ho\u015f bir matematiksel s\u00fcrprizle kar\u015f\u0131la\u015faca\u011f\u0131z: T\u00fcmevar\u0131mla kan\u0131t!<\/p>\n<p><strong>\u00c7\u00f6z\u00fcm. <\/strong>Yar\u0131\u015fma ekibi A ve B gibi iki ki\u015fiden olu\u015fsun. \u00c7\u00f6z\u00fcm\u00fcn ilk ve basit ad\u0131m\u0131 olarak, A\u2019n\u0131n kula\u011f\u0131na 1, B\u2019nin kula\u011f\u0131na da 2 say\u0131s\u0131n\u0131n f\u0131s\u0131ldand\u0131\u011f\u0131n\u0131 varsayal\u0131m. Bu durumda yar\u0131\u015fmac\u0131lar \u00e7ok kolay kazan\u0131r, \u00e7\u00fcnk\u00fc A, kendisine 1 s\u00f6ylendi\u011fi i\u00e7in B\u2019nin say\u0131s\u0131n\u0131n 2 oldu\u011funu bilir ve ilk gong sesinin ard\u0131ndan B\u2019deki say\u0131n\u0131n 2 oldu\u011funu a\u00e7\u0131klar.<\/p>\n<p>A\u2019ya 2, B\u2019ye de 3 say\u0131s\u0131n\u0131n s\u00f6ylendi\u011fini varsayarsak: \u0130lk gong sesinden sonra sessizlik olacakt\u0131r. \u00c7\u00fcnk\u00fc A, B\u2019deki say\u0131n\u0131n 1 ya da 3 oldu\u011funu bildi\u011finden, B\u2019nin ilk gong sesinden sonra herhangi bir a\u00e7\u0131klama yap\u0131p yapmayaca\u011f\u0131na bakacak ve \u015f\u00f6yle d\u00fc\u015f\u00fcnecektir: <em>E\u011fer B\u2019de <\/em>1 <em>olsayd\u0131 ilk gong \u00e7ald\u0131\u011f\u0131nda bendeki say\u0131n\u0131n <\/em>2 <em>oldu\u011funu s\u00f6yleyecekti, ama sustu\u011funa g\u00f6re demek ki B\u2019ye <\/em>1 <em>de\u011fil <\/em>3 <em>say\u0131s\u0131 s\u00f6ylenmi\u015f. <\/em>B\u00f6ylece A\u2019n\u0131n ikinci gong sesinden sonra B\u2019deki say\u0131n\u0131n 3 oldu\u011funu s\u00f6ylemesiyle yar\u0131\u015fmay\u0131 kazan\u0131r.<\/p>\n<p>A\u2019ya 3, B\u2019ye de 4 say\u0131s\u0131n\u0131n f\u0131s\u0131ldand\u0131\u011f\u0131n\u0131 varsayarsak: Bu kez ilk gong sesinden sonra sessizlik olacakt\u0131r, \u00e7\u00fcnk\u00fc s\u00f6ylenen say\u0131lar\u0131n 1 ve 2 olmad\u0131\u011f\u0131n\u0131 biliyorlar. \u0130kinci gongta da ses \u00e7\u0131kmaz, ama A \u00fc\u00e7\u00fcnc\u00fc gongtan sonra a\u00e7\u0131klamas\u0131n\u0131 yapar. \u015e\u00f6yle d\u00fc\u015f\u00fcnm\u00fc\u015ft\u00fcr: <em>B\u2019ye ya <\/em>2 <em>ya da <\/em>4 <em>s\u00f6ylendi. E\u011fer B\u2019ye <\/em>2 <em>say\u0131s\u0131 s\u00f6ylenmi\u015fse, o zaman B ikinci gongtan sonra a\u00e7\u0131klamas\u0131n\u0131 yapard\u0131, \u00e7\u00fcnk\u00fc bende 1 olmad\u0131\u011f\u0131n\u0131 bildi\u011fi i\u00e7in <\/em>2 <em>diyecekti.\u00a0<\/em>(A\u2019ya 2, B\u2019ye 3 s\u00f6ylendi\u011fi bir \u00f6nceki durumda A\u2019n\u0131n yapt\u0131\u011f\u0131 gibi.) <em>Ama B, ikinci gongtan sonra sustu\u011funa g\u00f6re demek ki ona <\/em>2 <em>de\u011fil, <\/em>4 <em>say\u0131s\u0131 s\u00f6ylenmi\u015f. <\/em>B\u00f6ylece A \u00fc\u00e7\u00fcnc\u00fc gongtan sonra B\u2019deki say\u0131n\u0131n 4 oldu\u011funu bilir ve kazan\u0131rlar.<\/p>\n<p>Dikkat edilirse, A\u2019ya 3, B\u2019ye 4 say\u0131s\u0131n\u0131n s\u00f6ylenmesi durumunda ikinci gongtan sonra A\u2019n\u0131n susma nedeni, B\u2019de 2 oldu\u011funu varsayd\u0131\u011f\u0131nda kendisinin pozisyonunun, bir \u00f6nceki durumda, yani A\u2019ya 2, B\u2019ye 3 s\u00f6ylendi\u011findeki B\u2019n\u0131n pozisyonuyla ayn\u0131 olmas\u0131ndan kaynaklan\u0131yor. Bu \u015fekilde d\u00fc\u015f\u00fcnerek <em>A<\/em>(4) \u2013 <em>B<\/em>(5) durumunda \u00fc\u00e7\u00fcnc\u00fc gong \u00e7ald\u0131\u011f\u0131nda da sessizlik olacakt\u0131r, \u00e7\u00fcnk\u00fc o an, <em>A<\/em>(3) \u2013 <em>B<\/em>(4)durumuna g\u00f6re A, B\u2019nin, B de A\u2019n\u0131n pozisyonunda bulunuyor.<\/p>\n<p><em>A<\/em>(4) \u2013 <em>B<\/em>(5) durumunda d\u00f6rd\u00fcnc\u00fc gong \u00e7ald\u0131\u011f\u0131nda A a\u00e7\u0131klamas\u0131n\u0131 yap\u0131yor ve kazan\u0131yorlar. Bu ak\u0131l y\u00fcr\u00fctmeyi s\u00fcrd\u00fcr\u00fcrsek <em>A<\/em>(5) \u2013 <em>B<\/em>(6) durumunda da ilk d\u00f6rt gong sesinde susacaklar ve A be\u015finci gong sesinden sonra B\u2019ye s\u00f6ylenen say\u0131y\u0131 s\u00f6yleyerek yar\u0131\u015fmay\u0131 kazanacaklar. Bu \u015fekilde devam edersek <em>A<\/em>(6) \u2013 <em>B<\/em>(7) durumunda da <em>A<\/em>(5) \u2013 <em>B<\/em>(6)\u2019daki gibi d\u00fc\u015f\u00fcnerek alt\u0131nc\u0131 gong sesinden sonra A, B\u2019nin say\u0131s\u0131n\u0131 bilecektir. Bu d\u00fc\u015f\u00fcnceyle di\u011fer b\u00fct\u00fcn durumlar i\u00e7in A\u2019n\u0131n ka\u00e7\u0131nc\u0131 gong sesinden sonra B\u2019deki say\u0131y\u0131 bilebilece\u011fini s\u00f6yleyebiliriz.<\/p>\n<p>Bu y\u00f6ntemi genelle\u015ftirirsek \u015fu sonuca ula\u015f\u0131r\u0131z: <em>A<\/em>(<em>n<\/em>) \u2013 <em>B<\/em>(<em>n+<\/em>1) durumunda ilk <em>n\u2013<\/em>1 gong sesinden sonra susan yar\u0131\u015fmac\u0131lardan A, <em>n<\/em>\u2019inci gong sesinin ard\u0131ndan B\u2019ye s\u00f6ylenen say\u0131y\u0131 a\u00e7\u0131klayarak A \u2013 B ekibi yar\u0131\u015fmay\u0131 kazanm\u0131\u015f olacakt\u0131r.<\/p>\n<p>\u015eimdi burada dural\u0131m, kendimize \u015fu soruyu soral\u0131m: Problemi \u00e7\u00f6zd\u00fck m\u00fc? Evet, sezgisel olarak ula\u015ft\u0131\u011f\u0131m\u0131z bir \u00e7\u00f6z\u00fcm var elimizde ama maalesef matematiksel de\u011feri \u00e7ok zay\u0131f. \u00c7\u00fcnk\u00fc hi\u00e7bir matematik\u00e7i yukar\u0131da <em>A<\/em>(<em>n<\/em>) \u2013 <em>B<\/em>(<em>n+<\/em>1) durumu i\u00e7in \u00e7\u0131kard\u0131\u011f\u0131m\u0131z sonucu kabul etmeyecektir. Bir matematik\u00e7i i\u00e7in bir \u00f6nermenin ilk alt\u0131 durum i\u00e7in sa\u011flan\u0131yor olmas\u0131 ve bundan sonraki durumlar i\u00e7in de sezgilerimizle sa\u011flanaca\u011f\u0131n\u0131 g\u00f6rmemiz, o \u00f6nermenin do\u011fru oldu\u011funu g\u00f6stermez. Sezgilerimizde ku\u015fkucu olmal\u0131y\u0131z. Yukar\u0131daki genel sonuca ula\u015ft\u0131\u011f\u0131m\u0131z\u0131 s\u00f6yleyebilmemiz i\u00e7in gerekli olan matematiksel cihaz kan\u0131tt\u0131r, adeta kesinli\u011fin belgesi gibi.<\/p>\n<p><strong>\u0130mdad\u0131m\u0131za yeti\u015fen y\u00f6ntem: T\u00fcmevar\u0131mla kan\u0131t!<\/strong><\/p>\n<p><em>A<\/em>(<em>n<\/em>) \u2013 <em>B<\/em>(<em>n+<\/em>1) durumu i\u00e7in ula\u015ft\u0131\u011f\u0131m\u0131z sonucu matematikte <em>t\u00fcmevar\u0131m y\u00f6ntemi <\/em>ad\u0131 verilen yolla kan\u0131tlayabiliriz. T\u00fcmevar\u0131mla kan\u0131t, domino ta\u015flar\u0131ndan birine dokunulmas\u0131yla t\u00fcm ta\u015flar\u0131n y\u0131k\u0131lmas\u0131na benzetilir. <em>n <\/em>pozitif bir tamsay\u0131 olmak \u00fczere \u00f6nermesinin do\u011frulu\u011funu kan\u0131tlamak i\u00e7in a\u015fa\u011f\u0131daki iki ad\u0131m izlenir:<\/p>\n<p><strong>Ad\u0131m 1. <\/strong><em>A<\/em>1 \u00f6nermesinin do\u011fru oldu\u011fu g\u00f6sterilir.<\/p>\n<p><strong>Ad\u0131m 2. <\/strong><em>A<\/em><em>n <\/em>\u00f6nermesinin do\u011fru oldu\u011fu varsay\u0131larak <em>A<\/em><em>n+<\/em>1 \u00f6nermesinin do\u011fru oldu\u011fu g\u00f6sterilir.<\/p>\n<p>Ad\u0131m 2\u2019yle <em>A<\/em><em>n <\/em>\u00f6nermesinin do\u011frulu\u011fu kan\u0131tlanm\u0131\u015f olur. Bu y\u00f6ntemde, <em>A<\/em>20\u2019nin do\u011fru oldu\u011funu <em>A<\/em>19\u2019un do\u011fru oldu\u011fundan hareketle g\u00f6steririz. Ayn\u0131 \u015fekilde <em>A<\/em>19\u2019un do\u011fru oldu\u011fu <em>A<\/em>18\u2019in do\u011frulu\u011fundan yola \u00e7\u0131k\u0131larak g\u00f6sterilir. Bu \u015fekildeki ad\u0131mlarla <em>A<\/em>1\u2019in do\u011frulu\u011funa kadar gelebiliriz. B\u00f6ylece <em>A<\/em>1 do\u011fru oldu\u011fundan <em>A<\/em>20 de do\u011frudur. Bu y\u00fczden \u00f6nce <em>A<\/em>1\u2019in do\u011fru oldu\u011fu g\u00f6sterilir. Ad\u0131m 2\u2019yle de <em>A<\/em><em>n+<\/em>1 \u00f6nermesinden ad\u0131m ad\u0131m <em>A<\/em>1\u2019e kadar gelinebilece\u011fi g\u00f6sterilmi\u015f olur. T\u0131pk\u0131 <em>A<\/em><em>n+<\/em>1 numaral\u0131 domino ta\u015f\u0131na dokundu\u011fumuzda <em>A<\/em>1\u2019e kadar olan ta\u015flar\u0131n y\u0131k\u0131lmas\u0131 gibi.<\/p>\n<p>\u015eimdi tekrar probleme d\u00f6nelim ve ula\u015ft\u0131\u011f\u0131m\u0131z sonucu teorem olarak yaz\u0131p t\u00fcmevar\u0131mla kan\u0131tlayal\u0131m.<\/p>\n<p><strong>Teorem. <\/strong><em>A(n) \u2013 B(n+<\/em>1<em>) durumunda ilk n\u2013<\/em>1 <em>gong sesinden sonra susan yar\u0131\u015fmac\u0131lardan A, n<\/em>\u2019inci <em>gong sesinin ard\u0131ndan B\u2019ye s\u00f6ylenen say\u0131y\u0131 bilir. <\/em><\/p>\n<p><strong>Kan\u0131t: <\/strong>Yaz\u0131n\u0131n ba\u015f\u0131nda teoremin <em>n <\/em>= 1, hatta 2 ve 3 i\u00e7in kan\u0131t\u0131n\u0131 yapm\u0131\u015ft\u0131k. Ad\u0131m 1\u2019i ge\u00e7iyoruz.<\/p>\n<p>Ad\u0131m 2: Teoremin <em>n <\/em>i\u00e7in do\u011fru oldu\u011funu varsay\u0131p, <em>n+<\/em>1 i\u00e7in do\u011fru oldu\u011funu kan\u0131tlayal\u0131m. Teorem, <em>n <\/em>i\u00e7in, <em>\u201cA<\/em>(<em>n<\/em>) \u2013 <em>B<\/em>(<em>n+<\/em>1) <em>durumunda ilk n\u2013<\/em>1 <em>gong sesinden sonra susan yar\u0131\u015fmac\u0131lardan A, n<\/em>\u2019inci <em>gong sesinin ard\u0131ndan B\u2019ye s\u00f6ylenen say\u0131y\u0131 bilir.\u201d <\/em>diyor.<\/p>\n<p>Burada <em>n <\/em>yerine <em>n<\/em>+1 yazarsak, <em>A<\/em>(<em>n+<\/em>1) \u2013 <em>B<\/em>(<em>n+<\/em>2) <em>durumunda ilk n gong sesinden sonra susan yar\u0131\u015fmac\u0131lardan A, n+<\/em>1<em>\u2019inci gong sesinin ard\u0131ndan B\u2019ye s\u00f6ylenen say\u0131y\u0131 bilir. <\/em>Bu durumda A, B\u2019deki say\u0131n\u0131n <em>n <\/em>veya <em>n<\/em>+2 olaca\u011f\u0131n\u0131 d\u00fc\u015f\u00fcn\u00fcr.<\/p>\n<p>E\u011fer <em>n <\/em>ise, B\u2019yi A\u2019n\u0131n pozisyonunda d\u00fc\u015f\u00fcnelim. Bu durumda teoremi <em>n <\/em>i\u00e7in do\u011fru varsayd\u0131\u011f\u0131m\u0131zdan B, <em>n<\/em>\u2019inci gong sesinden sonra A\u2019daki say\u0131y\u0131 a\u00e7\u0131klamal\u0131yd\u0131, ama kendisine <em>n<\/em>+2 s\u00f6ylendi\u011finden <em>n<\/em>\u2019inci gong sesinden sonra sessiz kal\u0131r. Bu durumda A, <em>n<\/em>\u2019inci gong sesinden sonra B\u2019deki say\u0131n\u0131n <em>n <\/em>olmad\u0131\u011f\u0131n\u0131 anlar ve <em>n+<\/em>1\u2019inci gongtan sonra B\u2019ye <em>n+<\/em>2\u2019nin s\u00f6ylendi\u011fini bilir. B\u00f6ylece Ad\u0131m 2 ve teorem kan\u0131tlanm\u0131\u015f olur.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ger\u00e7ek\u00fcst\u00fc say\u0131labilecek bu yar\u0131\u015fmada iki ki\u015filik bir ekip yar\u0131\u015f\u0131yor. Yar\u0131\u015fmac\u0131lardan birinin kula\u011f\u0131na pozitif bir tamsay\u0131, di\u011ferinin kula\u011f\u0131na da bu say\u0131n\u0131n ard\u0131\u015f\u0131\u011f\u0131 (bir eksi\u011fi ya da bir fazlas\u0131) olan pozitif tamsay\u0131 f\u0131s\u0131ldan\u0131yor. Aralar\u0131nda ileti\u015fim kurmalar\u0131na izin verilmeyen yar\u0131\u015fmac\u0131lardan gong sesini duyduklar\u0131nda birbirlerinin say\u0131lar\u0131n\u0131 tahmin etmeleri isteniyor. Gong bir dakika arayla \u00e7al\u0131yor ve tahminlerini sadece gong \u00e7ald\u0131ktan [&hellip;]<\/p>\n","protected":false},"author":375,"featured_media":25633,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[163,25,514],"tags":[208,1530],"class_list":["post-25632","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-126-sayi","category-matematik","category-matematik-sohbetleri","tag-matematik","tag-sayilar"],"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.8 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Ali T\u00f6r\u00fcn\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.8\" \/>\n\t\t<meta property=\"og:locale\" content=\"tr_TR\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Bilim ve Gelecek\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz? | Bilim ve Gelecek\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz\" \/>\n\t\t<meta property=\"fb:app_id\" content=\"2104805563100892\" \/>\n\t\t<meta property=\"fb:admins\" content=\"1250955469\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/05\/sayilar-2.jpg\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/05\/sayilar-2.jpg\" \/>\n\t\t<meta property=\"og:image:width\" content=\"800\" \/>\n\t\t<meta property=\"og:image:height\" content=\"451\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2014-08-01T09:15:29+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2018-05-16T09:16:28+00:00\" \/>\n\t\t<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/bilimvegelecekdergisi\/\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n\t\t<meta name=\"twitter:site\" content=\"@bilimvegelecek\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz? | Bilim ve Gelecek\" \/>\n\t\t<meta name=\"twitter:image\" content=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/05\/sayilar-2.jpg\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz#article\",\"name\":\"Bu yar\\u0131\\u015fmay\\u0131 kazanabilir misiniz? | Bilim ve Gelecek\",\"headline\":\"Bu yar\\u0131\\u015fmay\\u0131 kazanabilir misiniz?\",\"author\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/author\\\/atorun#author\"},\"publisher\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/#organization\"},\"image\":{\"@type\":\"ImageObject\",\"url\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/wp-content\\\/uploads\\\/2018\\\/05\\\/sayilar-2.jpg\",\"width\":800,\"height\":451},\"datePublished\":\"2014-08-01T12:15:29+03:00\",\"dateModified\":\"2018-05-16T12:16:28+03:00\",\"inLanguage\":\"tr-TR\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz#webpage\"},\"isPartOf\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz#webpage\"},\"articleSection\":\"126. Say\\u0131, Matematik, Matematik Sohbetleri, matematik, say\\u0131lar\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr#listItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/bilimvegelecek.com.tr\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/category\\\/dergi-sayilari#listItem\",\"name\":\"Dergi Say\\u0131lar\\u0131\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/category\\\/dergi-sayilari#listItem\",\"position\":2,\"name\":\"Dergi Say\\u0131lar\\u0131\",\"item\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/category\\\/dergi-sayilari\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/category\\\/dergi-sayilari\\\/126-sayi#listItem\",\"name\":\"126. Say\\u0131\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr#listItem\",\"name\":\"Home\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/category\\\/dergi-sayilari\\\/126-sayi#listItem\",\"position\":3,\"name\":\"126. Say\\u0131\",\"item\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/category\\\/dergi-sayilari\\\/126-sayi\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz#listItem\",\"name\":\"Bu yar\\u0131\\u015fmay\\u0131 kazanabilir misiniz?\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/category\\\/dergi-sayilari#listItem\",\"name\":\"Dergi Say\\u0131lar\\u0131\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz#listItem\",\"position\":4,\"name\":\"Bu yar\\u0131\\u015fmay\\u0131 kazanabilir misiniz?\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/category\\\/dergi-sayilari\\\/126-sayi#listItem\",\"name\":\"126. Say\\u0131\"}}]},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/#organization\",\"name\":\"Bilim ve Gelecek\",\"description\":\"Ayl\\u0131k bilim, k\\u00fclt\\u00fcr ve politika dergisi\",\"url\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"url\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/wp-content\\\/uploads\\\/2018\\\/02\\\/bilim-ve-gelecek-logo-1.png\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz\\\/#organizationLogo\",\"width\":272,\"height\":90,\"caption\":\"Bilim ve Gelecek Dergisi\"},\"image\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz\\\/#organizationLogo\"}},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/author\\\/atorun#author\",\"url\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/author\\\/atorun\",\"name\":\"Ali T\\u00f6r\\u00fcn\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz#authorImage\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/a13f4806fbdf8d192cb76a66c213c4b0a90347536e923eee74925a7c44edb716?s=96&d=mm&r=g\",\"width\":96,\"height\":96,\"caption\":\"Ali T\\u00f6r\\u00fcn\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz#webpage\",\"url\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz\",\"name\":\"Bu yar\\u0131\\u015fmay\\u0131 kazanabilir misiniz? | Bilim ve Gelecek\",\"inLanguage\":\"tr-TR\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/#website\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz#breadcrumblist\"},\"author\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/author\\\/atorun#author\"},\"creator\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/author\\\/atorun#author\"},\"image\":{\"@type\":\"ImageObject\",\"url\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/wp-content\\\/uploads\\\/2018\\\/05\\\/sayilar-2.jpg\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz\\\/#mainImage\",\"width\":800,\"height\":451},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/index.php\\\/2014\\\/08\\\/01\\\/bu-yarismayi-kazanabilir-misiniz#mainImage\"},\"datePublished\":\"2014-08-01T12:15:29+03:00\",\"dateModified\":\"2018-05-16T12:16:28+03:00\"},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/#website\",\"url\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/\",\"name\":\"Bilim ve Gelecek\",\"description\":\"Ayl\\u0131k bilim, k\\u00fclt\\u00fcr ve politika dergisi\",\"inLanguage\":\"tr-TR\",\"publisher\":{\"@id\":\"https:\\\/\\\/bilimvegelecek.com.tr\\\/#organization\"}}]}\n\t\t<\/script>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz? | Bilim ve Gelecek","description":"","canonical_url":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz#article","name":"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz? | Bilim ve Gelecek","headline":"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz?","author":{"@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/author\/atorun#author"},"publisher":{"@id":"https:\/\/bilimvegelecek.com.tr\/#organization"},"image":{"@type":"ImageObject","url":"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/05\/sayilar-2.jpg","width":800,"height":451},"datePublished":"2014-08-01T12:15:29+03:00","dateModified":"2018-05-16T12:16:28+03:00","inLanguage":"tr-TR","mainEntityOfPage":{"@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz#webpage"},"isPartOf":{"@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz#webpage"},"articleSection":"126. Say\u0131, Matematik, Matematik Sohbetleri, matematik, say\u0131lar"},{"@type":"BreadcrumbList","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz#breadcrumblist","itemListElement":[{"@type":"ListItem","@id":"https:\/\/bilimvegelecek.com.tr#listItem","position":1,"name":"Home","item":"https:\/\/bilimvegelecek.com.tr","nextItem":{"@type":"ListItem","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari#listItem","name":"Dergi Say\u0131lar\u0131"}},{"@type":"ListItem","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari#listItem","position":2,"name":"Dergi Say\u0131lar\u0131","item":"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari","nextItem":{"@type":"ListItem","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari\/126-sayi#listItem","name":"126. Say\u0131"},"previousItem":{"@type":"ListItem","@id":"https:\/\/bilimvegelecek.com.tr#listItem","name":"Home"}},{"@type":"ListItem","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari\/126-sayi#listItem","position":3,"name":"126. Say\u0131","item":"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari\/126-sayi","nextItem":{"@type":"ListItem","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz#listItem","name":"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz?"},"previousItem":{"@type":"ListItem","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari#listItem","name":"Dergi Say\u0131lar\u0131"}},{"@type":"ListItem","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz#listItem","position":4,"name":"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz?","previousItem":{"@type":"ListItem","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari\/126-sayi#listItem","name":"126. Say\u0131"}}]},{"@type":"Organization","@id":"https:\/\/bilimvegelecek.com.tr\/#organization","name":"Bilim ve Gelecek","description":"Ayl\u0131k bilim, k\u00fclt\u00fcr ve politika dergisi","url":"https:\/\/bilimvegelecek.com.tr\/","logo":{"@type":"ImageObject","url":"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/02\/bilim-ve-gelecek-logo-1.png","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz\/#organizationLogo","width":272,"height":90,"caption":"Bilim ve Gelecek Dergisi"},"image":{"@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz\/#organizationLogo"}},{"@type":"Person","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/author\/atorun#author","url":"https:\/\/bilimvegelecek.com.tr\/index.php\/author\/atorun","name":"Ali T\u00f6r\u00fcn","image":{"@type":"ImageObject","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz#authorImage","url":"https:\/\/secure.gravatar.com\/avatar\/a13f4806fbdf8d192cb76a66c213c4b0a90347536e923eee74925a7c44edb716?s=96&d=mm&r=g","width":96,"height":96,"caption":"Ali T\u00f6r\u00fcn"}},{"@type":"WebPage","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz#webpage","url":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz","name":"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz? | Bilim ve Gelecek","inLanguage":"tr-TR","isPartOf":{"@id":"https:\/\/bilimvegelecek.com.tr\/#website"},"breadcrumb":{"@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz#breadcrumblist"},"author":{"@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/author\/atorun#author"},"creator":{"@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/author\/atorun#author"},"image":{"@type":"ImageObject","url":"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/05\/sayilar-2.jpg","@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz\/#mainImage","width":800,"height":451},"primaryImageOfPage":{"@id":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz#mainImage"},"datePublished":"2014-08-01T12:15:29+03:00","dateModified":"2018-05-16T12:16:28+03:00"},{"@type":"WebSite","@id":"https:\/\/bilimvegelecek.com.tr\/#website","url":"https:\/\/bilimvegelecek.com.tr\/","name":"Bilim ve Gelecek","description":"Ayl\u0131k bilim, k\u00fclt\u00fcr ve politika dergisi","inLanguage":"tr-TR","publisher":{"@id":"https:\/\/bilimvegelecek.com.tr\/#organization"}}]},"og:locale":"tr_TR","og:site_name":"Bilim ve Gelecek","og:type":"article","og:title":"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz? | Bilim ve Gelecek","og:url":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz","fb:app_id":"2104805563100892","fb:admins":"1250955469","og:image":"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/05\/sayilar-2.jpg","og:image:secure_url":"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/05\/sayilar-2.jpg","og:image:width":800,"og:image:height":451,"article:published_time":"2014-08-01T09:15:29+00:00","article:modified_time":"2018-05-16T09:16:28+00:00","article:publisher":"https:\/\/www.facebook.com\/bilimvegelecekdergisi\/","twitter:card":"summary_large_image","twitter:site":"@bilimvegelecek","twitter:title":"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz? | Bilim ve Gelecek","twitter:image":"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/05\/sayilar-2.jpg"},"aioseo_meta_data":{"post_id":"25632","title":null,"description":null,"keywords":null,"keyphrases":null,"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":null,"og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"","isEnabled":true},"graphs":[]},"schema_type":null,"schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":null,"robots_max_videopreview":null,"robots_max_imagepreview":"large","priority":null,"frequency":null,"local_seo":null,"breadcrumb_settings":null,"limit_modified_date":false,"ai":null,"created":"2021-05-29 20:30:40","updated":"2025-06-05 17:42:36","seo_analyzer_scan_date":null},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/bilimvegelecek.com.tr\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari\" title=\"Dergi Say\u0131lar\u0131\">Dergi Say\u0131lar\u0131<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari\/126-sayi\" title=\"126. Say\u0131\">126. Say\u0131<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tBu yar\u0131\u015fmay\u0131 kazanabilir misiniz?\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/bilimvegelecek.com.tr"},{"label":"Dergi Say\u0131lar\u0131","link":"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari"},{"label":"126. Say\u0131","link":"https:\/\/bilimvegelecek.com.tr\/index.php\/category\/dergi-sayilari\/126-sayi"},{"label":"Bu yar\u0131\u015fmay\u0131 kazanabilir misiniz?","link":"https:\/\/bilimvegelecek.com.tr\/index.php\/2014\/08\/01\/bu-yarismayi-kazanabilir-misiniz"}],"_links":{"self":[{"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/posts\/25632","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/users\/375"}],"replies":[{"embeddable":true,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/comments?post=25632"}],"version-history":[{"count":0,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/posts\/25632\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/media\/25633"}],"wp:attachment":[{"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/media?parent=25632"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/categories?post=25632"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/tags?post=25632"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}