Googol, matematikteki b\u00fcy\u00fck say\u0131lardan biridir ve 10100’e e\u015fittir. Ba\u015fka bir deyi\u015fle 1 googol, 1 rakam\u0131na y\u00fcz s\u0131f\u0131r ekleyerek yaz\u0131l\u0131r. Bu terim Amerikal\u0131 matematik\u00e7i Edward Kasner’\u0131n ye\u011feni Milton Sirotta (1929\u20131980) taraf\u0131ndan 1938 y\u0131l\u0131nda kullan\u0131lmaya ba\u015flanm\u0131\u015ft\u0131r. Milton bu s\u0131rada dokuz ya\u015f\u0131ndayd\u0131. Kasner bu kavram\u0131 Matematik ve Hayal G\u00fcc\u00fc adl\u0131 kitab\u0131nda da ele alm\u0131\u015ft\u0131r.
\n Googol b\u00fcy\u00fckl\u00fck derecesi bak\u0131m\u0131ndan 70 fakt\u00f6riyele e\u015fde\u011ferdir (70! yakla\u015f\u0131k olarak 1.198 googola e\u015fittir) ve yaln\u0131zca iki asal \u00e7arpana sahiptir (her birinden 100’er tane olmak \u00fczere 2 ve 5 \u00e7arpanlar\u0131). \u0130kilik tabanl\u0131 say\u0131 sisteminde 1 googol 333 basamaktan olu\u015fur. Googolun matemati\u011fe \u00e7ok yararl\u0131 oldu\u011fu s\u00f6ylenemez. Bu say\u0131 daha \u00e7ok g\u00f6r\u00fcn\u00fcr evrendeki atomik par\u00e7ac\u0131klar\u0131n say\u0131lar\u0131n\u0131n kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131nda ve olas\u0131 satran\u00e7 oyunlar\u0131n\u0131n say\u0131s\u0131n\u0131n hesaplanmas\u0131nda kullan\u0131l\u0131r. Edward Kasner bu say\u0131n\u0131n d\u00fc\u015flenemeyecek b\u00fcy\u00fckl\u00fckteki bir say\u0131 ile sonsuz \u00e7oklu\u011fun aras\u0131ndaki fark\u0131 yans\u0131tt\u0131\u011f\u0131n\u0131 d\u00fc\u015f\u00fcnmektedir. Say\u0131n\u0131n matematikteki kullan\u0131m\u0131 bununla s\u0131n\u0131rl\u0131d\u0131r.
\nGoogolun geleneksel yaz\u0131m\u0131 \u015fu \u015fekildedir:
\n 1 googol= 10100= 10,000,000,000,000,000,000,000,000,000,000,000,000 ,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,00 0,000,000
\nGoogolplex<\/p>\n
1 rakam\u0131n\u0131n ard\u0131ndan gelen bir googol s\u0131f\u0131rla yaz\u0131lan say\u0131ya googolplex ad\u0131 verilir. Bu say\u0131 10 \u00fczeri bir googol olarak da ifade edilebilir: 10googol = 10(10100).
\n Cosmos adl\u0131 belgeseli seslendiren fizik\u00e7i Carl Sagan googolplexin ka\u011f\u0131t \u00fczerine yaz\u0131lmas\u0131n\u0131n olanaks\u0131z oldu\u011funu \u00f6ne s\u00fcrm\u00fc\u015ft\u00fcr. Bunun nedeni say\u0131n\u0131n evrenin kaplad\u0131\u011f\u0131 toplam alandan b\u00fcy\u00fck olu\u015fudur.<\/p>\n
Googol ve kar\u015f\u0131la\u015ft\u0131r\u0131labilir b\u00fcy\u00fck say\u0131lar <\/p>\n
Bir googol, g\u00f6zlenebilir evrendeki toplam atom say\u0131s\u0131ndan (1079 ile 1081 aras\u0131nda oldu\u011fu tahmin edilmektedir) b\u00fcy\u00fckt\u00fcr. B\u00fcy\u00fck Patlamadan bu yana ge\u00e7en Planck s\u00fcresi bir googoldan azd\u0131r (G\u00fcncel rakam 8\u00d71060 Planck s\u00fcresidir). Bundan \u00e7\u0131kar\u0131labilecek sonu\u00e7 \u015fudur: B\u00fcy\u00fck Patlamadan bu yana ge\u00e7en s\u00fcre i\u00e7inde evrendeki t\u00fcm par\u00e7ac\u0131klar\u0131n olas\u0131 konumlar\u0131n\u0131n toplam say\u0131s\u0131 bir googolu a\u015fabilir ancak bu say\u0131 bir googolplexten \u00e7ok k\u00fc\u00e7\u00fckt\u00fcr.
\n Bir k\u00fc\u00e7\u00fck googol 2100 (yakla\u015f\u0131k 1.268\u00d71030) ya da 1,267,650,600,228,229,401,496,703,205,376’ya, bir k\u00fc\u00e7\u00fck googolplex 22100 ya da yakla\u015f\u0131k 103.8 \u00d7 1029’a e\u015fittir.
\n Avogadro say\u0131s\u0131, 6.02214179\u00d71023, 12 gram (0.012 kg) karbon atomunun kararl\u0131 halindeki toplam 12C izotopu say\u0131s\u0131na e\u015fittir. Bu say\u0131 kimya ve fizikte en \u00e7ok kar\u015f\u0131la\u015f\u0131lan b\u00fcy\u00fckl\u00fckt\u00fcr. Avogadro say\u0131s\u0131 bir googolun d\u00f6rd\u00fcnc\u00fc dereceden k\u00f6k\u00fcnden daha k\u00fc\u00e7\u00fckt\u00fcr.
\n Kara deliklerin buharla\u015fmas\u0131 Hawking yay\u0131n\u0131m\u0131 yapmalar\u0131yla a\u00e7\u0131klanmaktad\u0131r. Durum b\u00f6yleyse \u00e7ok b\u00fcy\u00fck bir kara deli\u011fin buharla\u015fmas\u0131 i\u00e7in ge\u00e7mesi gereken s\u00fcre yakla\u015f\u0131k bir googol y\u0131ld\u0131r.<\/p>\n
Pop\u00fcler k\u00fclt\u00fcrde googol <\/p>\n
Bir milyon sterlinlik \u015fu sorunun yan\u0131t\u0131 googoldu: 1 rakam\u0131n\u0131n sonuna y\u00fcz s\u0131f\u0131r getirilerek elde edilen say\u0131n\u0131n ad\u0131 nedir? Bu soru 10 Eyl\u00fcl 2001 tarihli Kim Milyoner Olmak \u0130ster? yar\u0131\u015fma program\u0131nda sorulmu\u015ftur. Di\u011fer se\u00e7enekler megatron, gigabit ve nanomold\u00fc.[5]
\nGoogol, masa oyunu Balderdash’teki 336 s\u00f6zc\u00fckten biridir ve bu s\u00f6zc\u00fc\u011f\u00fcn anlam\u0131 kart \u00fczerinde \u015fu \u015fekilde belirtilmi\u015ftir: 1 rakam\u0131n\u0131n sonuna 100 s\u0131f\u0131r getirildi\u011finde meydana gelen say\u0131.
\n 23 Ocak 1963 tarihli Peanuts adl\u0131 oyunda Lucy, Schroeder’e evlenme olas\u0131l\u0131klar\u0131n\u0131n ne oldu\u011funu sorar. Schroeder’in yan\u0131t\u0131 \u015f\u00f6yledir: “Googolda bir”.
\n Ninja Turtles \u00e7izgi dizisinin bir b\u00f6l\u00fcm\u00fcnde “Gaminator” video oyunu sisteminin 3 googolhertzl\u00fck bir i\u015flemciye sahip oldu\u011fu s\u00f6ylenmektedir.
\n “Googolplexin sonsuza olan uzakl\u0131\u011f\u0131 en az\u0131ndan bu say\u0131n\u0131n 1 rakam\u0131na olan uzakl\u0131\u011f\u0131 kadard\u0131r.” \u2014 Carl Sagan, Cosmos
\n Google \u015firketinin ad\u0131 “Googol” s\u00f6zc\u00fc\u011f\u00fcn\u00fcn yanl\u0131\u015f yaz\u0131m\u0131ndan t\u00fcretilmi\u015ftir (\u015eirketin kurucular\u0131 Larry Page ve Sergey Brin taraf\u0131ndan). Bu bilginin kayna\u011f\u0131 David A. Vise’\u0131n yazd\u0131\u011f\u0131 Google’\u0131n \u00d6yk\u00fcs\u00fc adl\u0131 kitapt\u0131r.
\n Googol, 1995 yap\u0131m\u0131 bir film olan Bilgisayar Tenis Ayakkab\u0131lar\u0131 Giyince’de iki kolej \u00f6\u011frencisi aras\u0131nda ge\u00e7en kar\u015f\u0131l\u0131kl\u0131 konu\u015fmada da yer bulmu\u015ftur. \u00d6\u011frencilerden biri “Googol nedir?” sorusunu “1 rakam\u0131n\u0131n ard\u0131ndan gelen y\u00fcz s\u0131f\u0131r” \u015feklinde yan\u0131tlam\u0131\u015ft\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"
Googol, matematikteki b\u00fcy\u00fck say\u0131lardan biridir ve 10100’e e\u015fittir. Ba\u015fka bir deyi\u015fle 1 googol, 1 rakam\u0131na y\u00fcz s\u0131f\u0131r ekleyerek yaz\u0131l\u0131r. Bu terim Amerikal\u0131 matematik\u00e7i Edward Kasner’\u0131n ye\u011feni Milton Sirotta (1929\u20131980) taraf\u0131ndan 1938 y\u0131l\u0131nda kullan\u0131lmaya ba\u015flanm\u0131\u015ft\u0131r. Milton bu s\u0131rada dokuz ya\u015f\u0131ndayd\u0131. Kasner bu kavram\u0131 Matematik ve Hayal G\u00fcc\u00fc adl\u0131 kitab\u0131nda da ele alm\u0131\u015ft\u0131r. Googol b\u00fcy\u00fckl\u00fck derecesi bak\u0131m\u0131ndan …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1404,1403],"tags":[7465,7463,7464,7466],"class_list":["post-3220","post","type-post","status-publish","format-standard","hentry","category-matematik-odevleri","category-odevler","tag-edward-kasner","tag-googol","tag-googol-hakkinda","tag-populer-kulturde-googol"],"_links":{"self":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3220","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/comments?post=3220"}],"version-history":[{"count":0,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3220\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/media?parent=3220"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/categories?post=3220"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/tags?post=3220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}