{"id":2643,"date":"2013-02-06T03:17:13","date_gmt":"2013-02-06T01:17:13","guid":{"rendered":"http:\/\/www.ilkkimbuldu.com\/?p=2643"},"modified":"2018-09-27T22:31:09","modified_gmt":"2018-09-27T20:31:09","slug":"sayisini-kim-buldu","status":"publish","type":"post","link":"https:\/\/www.ilkkimbuldu.com\/?p=2643","title":{"rendered":"e Say\u0131s\u0131&#8217;n\u0131 kim buldu"},"content":{"rendered":"<p>e Say\u0131s\u0131 matematikte iki tam say\u0131n\u0131n b\u00f6l\u00fcm\u00fc \u015feklinde yaz\u0131lmayan,\u00a0y\u00e2ni rasyonel olmayan bir say\u0131. De\u011feri yakla\u015f\u0131k olarak 2,718281828459&#8230; civ\u00e2r\u0131ndad\u0131r. <a href=\"http:\/\/www.ilkkimbuldu.com\/leonhard-euler-kimdir\/\"><strong>Leonhard\u00a0<\/strong><strong>Euler<\/strong><\/a>, Introductioin analys infinitorum isimli 1748 t\u00e2rihli eserinde bu say\u0131dan bahsetti\u011fi i\u00e7in buna\u00a0\u201c<em>Euler say\u0131s\u0131<\/em>\u201d da denir.<\/p>\n<p>Matematiksel ifadelerde \u00e7ok kar\u015f\u0131la\u015f\u0131lmas\u0131 y\u00f6n\u00fcnden bu say\u0131 \u00f6nemlidir.\u00a0Tabiatta pek\u00e7ok faaliyet a\u015fa\u011f\u0131daki karekteristi\u011fe s\u00e2hiptir. Herhangi bir b\u00fcy\u00fckl\u00fc\u011f\u00fcn miktar\u0131nda\u00a0meydana gelen de\u011fi\u015fiklik b\u00fcy\u00fckl\u00fc\u011f\u00fcn miktar\u0131na ba\u011fl\u0131d\u0131r. Bu, bir tabaktaki bakteri, radyoaktif madde\u00a0miktar\u0131 veya elektrik ak\u0131m miktar\u0131 olabilir.<\/p>\n<p>Her durumda da olay\u0131n geli\u015fimi (k) \u201cde\u011fi\u015fim miktar\u0131n\u0131\u201d\u00a0g\u00f6steren bir s\u00e2bit olmak \u00fczere dy\/dt=ky \u015feklinde matematiksel olarak temsil edilir. Bu denklemin\u00a0\u00e7\u00f6z\u00fcm\u00fc y=Aekt \u015feklindedir. Burada A ba\u015flang\u0131\u00e7 \u015fartlar\u0131na ba\u011fl\u0131 bir katsay\u0131d\u0131r. Bu if\u00e2de y=Aexp (kt)\u00a0olarak da yaz\u0131labilir ve bu t\u00fcr if\u00e2de, k\u2019nin pozitif veya negatif olmamas\u0131na ba\u011fl\u0131 olarak kuvvet\u00a0(eksponansiyel) artma veya azalma olarak isimlendirilir. e veya exp (kt) olarak yaz\u0131lan \u00fcstel\u00a0(eksponansiyel), fonksiyon kimy\u00e2n\u0131n pek\u00e7ok dal\u0131nda ortaya \u00e7\u0131kar. e\u2019nin kuvvetleri ve e\u2019i taban alan\u00a0<a href=\"http:\/\/www.ilkkimbuldu.com\/logaritmayi-kim-buldu\/\">logaritma<\/a> (tabii logaritma) de\u011ferleri tablola\u015ft\u0131r\u0131larak kolay kullan\u0131l\u0131r duruma sokulmu\u015ftur. e say\u0131s\u0131n\u0131n\u00a0rastlanmas\u0131na pratik bir misal olarak bir lira % 10 f\u00e2iz alt\u0131nda bir y\u0131l sonra iki lira olur.<\/p>\n<p>Ancak f\u00e2izler alt\u0131\u00a0ayl\u0131k hesaplan\u0131rsa bir y\u0131l sonra 2,25 lira olarak ortaya \u00e7\u0131kar. E\u011fer f\u00e2iz \u00fc\u00e7 ayl\u0131k hesaplan\u0131r ise bu sonu\u00e7\u00a02,37 civ\u00e2r\u0131ndad\u0131r. Ancak f\u00e2iz hesaplama s\u00fcresi azald\u0131k\u00e7a sonu\u00e7 e=2,718&#8230; de\u011ferine yakla\u015f\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>e Say\u0131s\u0131 matematikte iki tam say\u0131n\u0131n b\u00f6l\u00fcm\u00fc \u015feklinde yaz\u0131lmayan,\u00a0y\u00e2ni rasyonel olmayan bir say\u0131. De\u011feri yakla\u015f\u0131k olarak 2,718281828459&#8230; civ\u00e2r\u0131ndad\u0131r. Leonhard\u00a0Euler, Introductioin analys infinitorum isimli 1748 t\u00e2rihli eserinde bu say\u0131dan bahsetti\u011fi i\u00e7in&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[92],"tags":[2177,926],"class_list":["post-2643","post","type-post","status-publish","format-standard","hentry","category-bilim","tag-e-sayisi","tag-leonhard-euler"],"_links":{"self":[{"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/posts\/2643"}],"collection":[{"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2643"}],"version-history":[{"count":6,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/posts\/2643\/revisions"}],"predecessor-version":[{"id":12012,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/posts\/2643\/revisions\/12012"}],"wp:attachment":[{"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2643"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2643"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2643"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}