{"id":2735,"date":"2022-03-29T10:00:04","date_gmt":"2022-03-29T07:00:04","guid":{"rendered":"https:\/\/kutaybilen.com.tr\/?p=2735"},"modified":"2022-03-29T10:00:04","modified_gmt":"2022-03-29T07:00:04","slug":"internette-fotograf-paylasmanizi-saglayan-200-yillik-formul","status":"publish","type":"post","link":"https:\/\/kutaybilen.com.tr\/?p=2735","title":{"rendered":"\u0130nternette Foto\u011fraf Payla\u015fman\u0131z\u0131 Sa\u011flayan 200 Y\u0131ll\u0131k Form\u00fcl"},"content":{"rendered":"<div>\n<div> <\/div>\n<\/p><\/div>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0001\/99\/b3b2beccf556c753d18a28a6598a682c448507fe.jpeg\"\/><\/p>\n<p>Sakin olun.<\/p>\n<p>Burada g\u00f6rd\u00fc\u011f\u00fcn\u00fcz form\u00fcl neredeyse 2 as\u0131rl\u0131k\u00a0ancak bug\u00fcn onun sayesinde kimi kullan\u0131\u015fl\u0131 teknolojilere sahibiz. \u0130stedi\u011fimiz m\u00fczi\u011fe saniyeler i\u00e7erisinde ula\u015f\u0131yor, istedi\u011fimiz manzaray\u0131 an\u0131nda toplumsal medyada\u00a0payla\u015fabiliyoruz.\u00a0<\/p>\n<p>T\u00fcm bunlar\u0131n matematikle ne kadar ilgisi oldu\u011funa kar\u015f\u0131l\u0131k ar\u0131yorsunuz, biliyoruz. Bunun i\u00e7in bilincimizdeki vakit makinesine biniyor ve 1822 y\u0131l\u0131na, Fransa\u2019daki bir k\u00fct\u00fcphanede g\u00f6z\u00fcm\u00fcz\u00fc a\u00e7\u0131yoruz. Raflarda duran yeni bas\u0131lm\u0131\u015f &#39;Is\u0131n\u0131n Analitik Teorisi&#39; isimli bir kitap dikkatimizi \u00e7ekiyor. Sayfalar\u0131n\u0131 \u00e7eviriyor, birebir form\u00fcl\u00fc tekrar kar\u015f\u0131m\u0131zda g\u00f6r\u00fcyoruz.\u00a0<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0001\/99\/277aedba267307da8811e18ce112c3609192bf79.jpeg\"\/><\/p>\n<p>Kitab\u0131 muharririne bak\u0131yoruz:\u00a0Baron Jean-Baptiste-Joseph Fourier<\/p>\n<p>9 ya\u015f\u0131nda anne ve babas\u0131n\u0131 kaybedince b\u00fcy\u00fck bir darbe yedi, askeri okulda ald\u0131\u011f\u0131 e\u011fitimle i\u00e7indeki matematik dehas\u0131n\u0131 ortaya \u00e7\u0131kard\u0131. Fourier, \u00fcstteki form\u00fcl\u00fc ortaya koyan matematik\u00e7iydi.Ancak yapt\u0131\u011f\u0131 \u015feyin gelecekteki insanlar\u0131n hayatlar\u0131n\u0131 nas\u0131l de\u011fi\u015ftirece\u011finden bihaberdi.\u00a0<\/p>\n<p><strong>Fourier\u2019in yapt\u0131\u011f\u0131 matemati\u011fin sonlar\u0131n\u0131 a\u015ft\u0131, m\u00fchendislik ve teknolojiye \u00f6nemli bi\u00e7imde istikamet verdi.<\/strong><\/p>\n<p><b><strong>Pekala, bu d\u00e2hi asl\u0131nda neyin pe\u015findeydi?<\/strong><\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0001\/99\/ea99f448446f5be2fd77f3ccfd91c535a3b2bb0d.jpeg\"\/><\/p>\n<p>Fourier, asl\u0131nda \u0131s\u0131n\u0131n nas\u0131l iletildi\u011fiyle ilgileniyordu. Onun merak\u0131, bu tuhaf g\u00fcc\u00fcn unsurlar\u0131n i\u00e7inde ne s\u00fcratte ve\u00a0nas\u0131l ilerledi\u011fi \u00fczerineydi. Yapt\u0131\u011f\u0131 \u00e7al\u0131\u015fmalarla bir form\u00fcl geli\u015ftirdi.<\/p>\n<p><b><strong>Bug\u00fcn elektromanyetik sinyal dedi\u011finizde akl\u0131n\u0131zda bu t\u00fcrl\u00fc frekans dalgalar\u0131 beliriyor mu?<\/strong><\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media.giphy.com\/media\/odj5zvX8QqlRC\/giphy.gif\"\/><\/p>\n<p>Fourier, daha elektromanyetik sinyalleri g\u00f6rselle\u015ftiremedi\u011fimiz y\u0131llarda, tuhaf bir ili\u015fkiyi ke\u015ffetmi\u015fti. Karma\u015f\u0131k frekansa sahip sinyallerin, sistemli frekansa sahip sinyallerin birle\u015fiminden olu\u015ftu\u011funu anlad\u0131. Yani birden fazla kolay sinyali \u00fcst \u00fcste ekleyerek\u00a0daha kompleks bir yap\u0131ya sahip dalgalar olu\u015fturulabilirdi.\u00a0<\/p>\n<p><b><strong>\u00d6rnekle a\u00e7\u0131klayal\u0131m:<\/strong><\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0001\/99\/61ea0f6ce436c01e116bcbf59cb1bb2754931919.jpeg\"\/><\/p>\n<p>Evrim A\u011fac\u0131\u2019n\u0131n kurucusu Dr. Davet Mert Bak\u0131rc\u0131, bu durumu \u00fc\u00e7 farkl\u0131 piyanonun tu\u015funa t\u0131pk\u0131 anda basmaya benzetiyor. Her biri tu\u015fun sesini birer sin\u00fcs\u00a0dalgalar\u0131yla s\u00f6z edebiliyoruz. Bu sesleri \u00fcst \u00fcste koydu\u011fumuzda ise daha karma\u015f\u0131k bir ses ve ses dalgas\u0131 elde ediyoruz.\u00a0<\/p>\n<p>Fourier, karma\u015f\u0131k dalgalar\u0131 sin\u00fcs dalgalar\u0131yla a\u00e7\u0131klamak istemi\u015fti. As\u0131l tespiti ise dalgalar\u0131 birle\u015ftirme s\u00fcrecinin tam aksisini s\u00f6z ediyordu.<\/p>\n<p>Karma\u015f\u0131k dalgalar\u0131n t\u00fcm\u00fcn\u00fc y\u00fczlerce, binlerce hatta milyonlarca kolay dalgaya ay\u0131rmak m\u00fcmk\u00fcnd\u00fc!<\/p>\n<p><strong>Yani \u015fayet karma\u015f\u0131k bir sinyal \u00fcretmek istiyorsan\u0131z, ka\u00e7 farkl\u0131 kolay sinyale gereksiniminiz oldu\u011funu hesaplayabilirdik. Bu da ne demek?<\/strong><\/p>\n<p><b><strong>Diyelim ki bir m\u00fczisyensiniz ve\u00a0akl\u0131n\u0131za ho\u015f bir ezgi geldi&#8230;<\/strong><\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0001\/99\/2ee54ddcfcdd15ad71931e99be07209137e7eb1d.jpeg\"\/><\/p>\n<p>Bu ezgiyi notalara d\u00f6kmek, sesleri enstr\u00fcmanlara d\u00f6kmek gerekiyor. Yani karma\u015f\u0131k bir ezgiyi daha kolay kesimlere ay\u0131rmak zorundas\u0131n\u0131z. Fourier\u2019in D\u00f6n\u00fc\u015f\u00fcm\u00fc sayesinde gereksiniminiz olan t\u00fcm kolay dalgalar\u0131 hesaplayabilirsiniz. <u>\u00dcstelik do\u011fruluk oran\u0131n\u0131z ise %100 olacakt\u0131r.<\/u><\/p>\n<p>Fourier\u2019in \u00fcretti\u011fi form\u00fcl karma\u015f\u0131k bir b\u00fct\u00fcn\u00fc kolay kesimlere ay\u0131rman\u0131n tek ad\u0131mda ger\u00e7ekle\u015fmesini sa\u011fl\u0131yor.\u00a0<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0001\/99\/f70e4fadb196b74511f59b03de14a4acec74ff06.jpeg\"\/><\/p>\n<ul>\n<li><strong>x(t):<\/strong> Elde etmek istedi\u011finiz karma\u015f\u0131k sinyalin ta kendisi,<\/li>\n<li><strong>e \u00fczeri (\u2212j\u03c02ft):<\/strong> Vahim g\u00f6r\u00fcnse de asl\u0131nda sin\u00fcsoid dalgalar\u0131n\u0131 s\u00f6z ediyor,<\/li>\n<\/ul>\n<p>\u0130ki terimi \u00e7arp\u0131p sonucun integralini ald\u0131\u011f\u0131n\u0131zda sin\u00fcs\u00a0dalgalar\u0131n\u0131 kolay mod\u00fcllere b\u00f6lm\u00fc\u015f oluyorsunuz. Sonu\u00e7taki X(f) terimi ise her bir kolay sinyal b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc ve gecikme \u00f6l\u00e7\u00fcs\u00fcn\u00fc sunuyor.<\/p>\n<p><b><strong>Art\u0131k (nihayet) gelelim g\u00fcn\u00fcm\u00fcze ve bu form\u00fcl\u00fc kulland\u0131\u011f\u0131m\u0131z yerlere:<\/strong><\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0001\/99\/a08443ddfc732418387a69a0cb9253dfd553711b.jpeg\"\/><\/p>\n<p>Akl\u0131n\u0131za gelen o ho\u015f ezgiye sahip \u015fark\u0131y\u0131 bestelediniz ve kayda girdiniz. B\u00fct\u00fcn enstr\u00fcmanlar teker teker ve ba\u015fka farkl\u0131 \u00e7al\u0131nd\u0131, kaydedildi.\u00a0Kaydedilen her ses, \u00fclk\u00fc bir formda \u00fcst \u00fcste getirildi ve m\u00fczi\u011finiz ortaya \u00e7\u0131kt\u0131.\u00a0<\/p>\n<p>Yani birden fazla kolay ses dalgas\u0131n\u0131 \u00fcst \u00fcste birle\u015ftirip karma\u015f\u0131k bir dalgay\u0131, yani \u015fark\u0131y\u0131 olu\u015fturuyorsunuz.\u00a0<\/p>\n<p>Yap\u0131lmas\u0131 gereken tek bir \u015fey kal\u0131yor:\u00a0Bu \u015fark\u0131y\u0131 insanlara ula\u015ft\u0131rmak ve kolayl\u0131kla dinlemelerini sa\u011flamak. \u0130\u015fte o s\u0131rada t\u00fcm bu karma\u015f\u0131k ses belgelerinin tek bir belgede birle\u015fmesi gerekiyor. Yani &#39;miksleme&#39;\u00a0denilen s\u00fcreci ger\u00e7ekle\u015ftirmeniz laz\u0131m.\u00a0<\/p>\n<p><b><strong>Evet, yanl\u0131\u015fs\u0131z bildiniz. .MP3 burada ortaya \u00e7\u0131k\u0131yor:<\/strong><\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/steamuserimages-a.akamaihd.net\/ugc\/865115034096667300\/F5F4FB6CC8988DAAF67237433045379B53B306FE\/\"\/><\/p>\n<p>Ola\u011fanda kay\u0131t evraklar\u0131n\u0131 direkt insanlara sunman\u0131z imkans\u0131z. Hakikaten ortaya \u00e7\u0131kan son belge transfer etmek i\u00e7in hayli uygun bir bilgi boyutuna sahip.\u00a0<\/p>\n<p>\u015eayet dinledi\u011finiz bir m\u00fczi\u011fi Fourier d\u00f6n\u00fc\u015f\u00fcm\u00fc ile kesimlerine ay\u0131r\u0131rsan\u0131z, birtak\u0131m seslerin d\u00fc\u015f\u00fck ve kimilerinin y\u00fcksek frekansa sahip olduklar\u0131n\u0131 g\u00f6r\u00fcrs\u00fcn\u00fcz. Tan\u0131nan evrak format\u0131 .MP3 i\u00e7in de bu durum ge\u00e7erlidir. Bu belgede duyman\u0131n bir mana s\u00f6z etmedi\u011fi t\u00fcm gereksiz ses frekanslar\u0131 \u00e7\u0131kar\u0131lm\u0131\u015f olur. Fourier\u2019in d\u00f6n\u00fc\u015f\u00fcm\u00fc sayesinde, yaln\u0131zca duymam\u0131z gereken sesleri \u00fcst \u00fcste ekler, ba\u015fkalar\u0131n\u0131 eleriz.\u00a0<\/p>\n<p><b><strong>Pekala, Spotify \u00fczere uygulamalardaki m\u00fcziklerin .MP3 format\u0131ndan ne fark\u0131 var?<\/strong><\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0001\/99\/5b0bbf76813e3d0ad806dc2514343b6c6c279a1c.jpeg\"\/><\/p>\n<p>Art\u0131k .MP3 \u00fczere tahlillerin de geride kald\u0131\u011f\u0131 bir devirdeyiz. Spotify, Shazam ve \u00f6b\u00fcr tan\u0131nan m\u00fczik platformlar\u0131ndaki belge format\u0131 ise .OGG koduyla bildi\u011fimiz Ogg Vorbis. Bu formattaki dalga d\u00f6n\u00fc\u015f\u00fcm\u00fc ise Fourier D\u00f6n\u00fc\u015f\u00fcm\u00fc ile de\u011fil, Ayr\u0131k Kosin\u00fcs D\u00f6n\u00fc\u015f\u00fcm\u00fc ile\u00a0ger\u00e7ekle\u015ftiriliyor.\u00a0<\/p>\n<p>Shazam&#39;da\u00a0bir m\u00fczik aratt\u0131\u011f\u0131n\u0131zda uygulama, bu d\u00f6n\u00fc\u015f\u00fcm\u00fc kullanarak\u00a0ses dalgalar\u0131 i\u00e7indeki kolay frakanslar\u0131 ayr\u0131\u015ft\u0131r\u0131yor. Ayr\u0131\u015fan kolay frekanslarla Shazam\u2019\u0131n elindeki data taban\u0131nda bulunan frekans pahalar\u0131 e\u015fle\u015fince arad\u0131\u011f\u0131n\u0131 \u015fark\u0131y\u0131 da bulmu\u015f oluyorsunuz. Yani Shazam, asl\u0131nda b\u00fct\u00fcn \u015fark\u0131y\u0131 de\u011fil, i\u00e7indeki en uygun frekanslar\u0131 dinleyip ay\u0131rt ediyor.\u00a0<\/p>\n<p><b><strong>G\u00fcr\u00fclt\u00fc engelleyen kulakl\u0131klar!?<\/strong><\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0001\/99\/84f30035c51f7f48d7732d3a04e9c2290f96db1a.jpeg\"\/><\/p>\n<p>\u015eayet ger\u00e7ek bir g\u00fcr\u00fclt\u00fc engelleyici kulakl\u0131\u011f\u0131n\u0131z varsa kulakl\u0131\u011f\u0131n\u0131z\u00a0Fourier D\u00f6n\u00fc\u015f\u00fcm\u00fc\u2019n\u00fc kullan\u0131yor. Kulakl\u0131k etraf\u0131n\u0131zdaki sesi alg\u0131l\u0131yor, kaydediyor, ses spektrumunu kolay dalgalara ay\u0131r\u0131yor, tahlil ediyor ve dinledi\u011finiz m\u00fczi\u011fin frekanslar\u0131n\u0131 sonuca nazaran de\u011fi\u015ftiriyor. Tam o s\u0131rada yan\u0131n\u0131zda bir korna \u00e7al\u0131yorsa frekanslar y\u00fckseliyor ve g\u00fcr\u00fclt\u00fc anl\u0131k olarak kesiliyor.<\/p>\n<p><b><strong>G\u00f6rsellerdeki .JPG format\u0131!?<\/strong><\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0001\/99\/aef5eeaf3f0688711b06a7648ee4b7f45d50747f.jpeg\"\/><\/p>\n<p>\u00dcstteki g\u00f6rseli bilgisayar\u0131n\u0131za kaydetti\u011finizde format\u0131 .JPG olacak. Bu kay\u0131t esnas\u0131nda bilgisayar\u0131n\u0131z Fourier D\u00f6n\u00fc\u015f\u00fcmleri yaparak manzaradaki renkleri ve parlakl\u0131klar\u0131 kolay dalgalar formunda alg\u0131layacak ve\u00a0baz\u0131 y\u00fcksek frekanslar\u0131 atacak. At\u0131lan bu frekanslar\u0131 biz g\u00f6z\u00fcm\u00fczle neredeyse fark bile edemeyece\u011fiz.<\/p>\n<p>Hatta WhatsApp\u2019tan yapt\u0131\u011f\u0131n\u0131z foto\u011fraf al\u0131\u015fveri\u015fini d\u00fc\u015f\u00fcn\u00fcn. Ola\u011fanda \u00e7ok b\u00fcy\u00fck piksel i\u00e7eren o foto\u011fraflar WhatsApp\u2019tan gidince bir anda g\u00f6rsel kalitelerini kaybediyor. Bu g\u00f6nderim s\u0131ras\u0131nda WhatsApp uygulamas\u0131, manzaray\u0131 kolay dalgalara ay\u0131r\u0131p birtak\u0131m frekanslar\u0131 siliyor. Sonu\u00e7 olarak kar\u015f\u0131 tarafa manzara gidiyor\u00a0ancak silinen frekanslar y\u00fcz\u00fcnden bariz bir kalite kayb\u0131 ya\u015fan\u0131yor. WhatsApp, bu s\u00fcre\u00e7leri transferi kolayla\u015ft\u0131rmak i\u00e7in ger\u00e7ekle\u015ftiriyor. Sonu\u00e7 olarak 8-9 MB boyutundaki bir foto\u011fraf\u0131\u00a0150 KB olarak iletebiliyoruz.\u00a0<\/p>\n<p>S\u00fcper, de\u011fil mi?<\/p>\n<p><b><strong>O vakitler ne yapt\u0131\u011f\u0131n\u0131n fark\u0131nda olmayan Fourier as\u0131l gayesine ula\u015fm\u0131\u015f m\u0131yd\u0131?<\/strong><\/b><\/p>\n<p>Faurer \u00fczere bir dahi i\u00e7in elbette m\u00fczi\u011fi kolay dinlemek ya da WhatsApp k\u00fcmesinden selfie g\u00f6ndermek sorun de\u011fildi. Onun \u0131s\u0131n\u0131n iletimiyle ilgilendi\u011fini s\u00f6ylemi\u015ftik. Kendisi, ortaya koydu\u011fu d\u00f6n\u00fc\u015f\u00fcm form\u00fcl\u00fcyle\u00a0\u0131s\u0131 hareketini modelleyebildi. Is\u0131n\u0131n nas\u0131l iletildi\u011fini \u00e7ok \u00e7ok d\u00fczg\u00fcn anlad\u0131.<\/p>\n<p>Bug\u00fcn yery\u00fcz\u00fcnde ya da uzayda bulunan bir ara\u00e7ta kullan\u0131lan gere\u00e7lerin \u0131s\u0131ya olan hassasl\u0131\u011f\u0131n\u0131 merak ediyorsak yeniden Fourier\u2019in D\u00f6n\u00fc\u015f\u00fcm\u00fc\u2019ne g\u00f6z at\u0131yoruz.\u00a0<\/p>\n<p><strong>Tek bir form\u00fcl, 200 y\u0131l i\u00e7inde i\u015fte bu t\u00fcrl\u00fc pahalan\u0131yor.\u00a0<\/strong><\/p>\n<p>Umar\u0131z bug\u00fcn \u00f6\u011frendikleriniz;\u00a0matematik ve genel olarak t\u00fcm bilimsel alanlar\u0131n ne kadar de\u011ferli oldu\u011funu bir sefer daha g\u00f6stermi\u015ftir.<\/p>\n<ul>\n<li><strong>Kaynaklar: Evrim A\u011fac\u0131, Gizmodo<\/strong><\/li>\n<\/ul>\n<div> <\/div>\n<div>\n<div> <\/div>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Sakin olun. Burada g\u00f6rd\u00fc\u011f\u00fcn\u00fcz form\u00fcl neredeyse 2 as\u0131rl\u0131k\u00a0ancak bug\u00fcn onun sayesinde kimi kullan\u0131\u015fl\u0131 teknolojilere sahibiz. \u0130stedi\u011fimiz &#8230;<\/p>\n","protected":false},"author":1,"featured_media":2736,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[858],"tags":[862],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/2735"}],"collection":[{"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2735"}],"version-history":[{"count":1,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/2735\/revisions"}],"predecessor-version":[{"id":2737,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/2735\/revisions\/2737"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/media\/2736"}],"wp:attachment":[{"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2735"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2735"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2735"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}