Googol

Googol — bu 10 ¹⁰⁰ koʻrinishidagi katta raqam. Oʻnlik sanoq tizimida u 1 raqamidan keyin yuzta nol bilan yoziladi.

Etimologiyasi

Bu atama 1920-yilda amerikalik matematik Edvard Kasnerning 9 yoshli jiyani Milton Sirotta (1911-1981) tomonidan tavsiya etilgan^[1]. U zamonaviy komiks qahramoni Barni Googledan ilhomlangan boʻlishi mumkin^[2]. Kasner oʻzining 1940-yilda chop etilgan " Matematika va tasavvur " kitobida ushbu tushunchani ommalashtirdi^[3]. Bu miqdorning boshqa nomlariga qisqa shkalada oʻn duotrigintillion^[4], uzun shkalada oʻn ming sexdecillion yoki Peletier uzunlik shkalasi boʻyicha oʻn seksdesilliard kiradi .

Googol sentiliondan ancha kichikdir^[5].

Xususiyatlari

Googol taxminan 70! (70 faktorial) ga teng^{[lower-alpha 1]}. Integral, ikkilik sanoq sistemasidan foydalanib, googolni ifodalash uchun 333 bit kerak boʻladi, yaʼni 1 googol = $2^{(100/\mathrm {log} _{10}2)}$ ≈ 2 ^332.19280949 .

Madaniy taʼsiri

Aytilishicha, mashhur „Google“ kompaniyasi oʻziga nom qoʻyayotganida aynan „Googol“ soʻzidan foydalanmoqchi boʻlishadi. Ammo bunday domen band boʻlgani uchun, soʻzga biroz oʻzgartirish kiritiladi va dunyoga mashhur Google kompaniyasi nomi vujudga keladi.

2004-yilda Kasner kitobining mualliflik huquqini meros qilib olgan oila aʼzolari Googleni „googol“ atamasidan foydalangani uchun sudga berishni koʻrib chiqishgan; ^[6] ammo hech qanday daʼvo berilmagan^[7].

Yana qarang

Googolplex
Graham raqami
Skewes raqami
Cheksizlik
Katta sonlarning nomlari

Foydalanilgan adabiyotlar

↑ Bialik, Carl (June 14, 2004). "There Could Be No Google Without Edward Kasner". The Wall Street Journal Online. Archived from the original on November 30, 2016. https://web.archive.org/web/20161130145858/http://www.wsj.com/articles/SB108575924921724042. (retrieved March 17, 2015)
↑ Ralph Keyes. The Hidden History of Coined Words. Oxford University Press, 2021 — 120-bet. ISBN 978-0-19-046677-0. Extract of page 120
↑ Kasner, Edward. Mathematics and the Imagination. Simon and Schuster, New York, 1940. ISBN 0-486-41703-4. The relevant passage about the googol and googolplex, attributing both of these names to Kasner’s nine-year-old nephew, is available in The world of mathematics, volume 3 James R. Newman: . Mineola, New York: Dover Publications [1956], 2000 — 2007–2010-bet. ISBN 978-0-486-41151-4.
↑ Bromham, Lindell. An Introduction to Molecular Evolution and Phylogenetics, 2nd, New York, NY: Oxford University Press, 2016 — 494-bet. ISBN 978-0-19-873636-3. Qaraldi: 2022-yil 15-aprel.
↑ Stewart, Ian. Infinity: A Very Short Introduction. New York, NY: Oxford University Press, 2017 — 20-bet. ISBN 978-0-19-875523-4. Qaraldi: 2022-yil 15-aprel.
↑ „Have your Google people talk to my 'googol' people“. 2014-yil 4-sentyabrda asl nusxadan arxivlangan.
↑ Nowlan, Robert A.. Masters of Mathematics: The Problems They Solved, Why These Are Important, and What You Should Know about Them (en). Rotterdam: Sense Publishers, 2017 — 221-bet. ISBN 978-9463008938.

Manba xatosi: <ref> tags exist for a group named "lower-alpha", but no corresponding <references group="lower-alpha"/> tag was found

[1] Bialik, Carl (June 14, 2004). "There Could Be No Google Without Edward Kasner". The Wall Street Journal Online. Archived from the original on November 30, 2016. https://web.archive.org/web/20161130145858/http://www.wsj.com/articles/SB108575924921724042. (retrieved March 17, 2015)

[2] Ralph Keyes. The Hidden History of Coined Words. Oxford University Press, 2021 — 120-bet. ISBN 978-0-19-046677-0. Extract of page 120

[3] Kasner, Edward. Mathematics and the Imagination. Simon and Schuster, New York, 1940. ISBN 0-486-41703-4. The relevant passage about the googol and googolplex, attributing both of these names to Kasner’s nine-year-old nephew, is available in The world of mathematics, volume 3 James R. Newman: . Mineola, New York: Dover Publications [1956], 2000 — 2007–2010-bet. ISBN 978-0-486-41151-4.

[4] Bromham, Lindell. An Introduction to Molecular Evolution and Phylogenetics, 2nd, New York, NY: Oxford University Press, 2016 — 494-bet. ISBN 978-0-19-873636-3. Qaraldi: 2022-yil 15-aprel.

[5] Stewart, Ian. Infinity: A Very Short Introduction. New York, NY: Oxford University Press, 2017 — 20-bet. ISBN 978-0-19-875523-4. Qaraldi: 2022-yil 15-aprel.

[7] „Have your Google people talk to my 'googol' people“. 2014-yil 4-sentyabrda asl nusxadan arxivlangan.

[8] Nowlan, Robert A.. Masters of Mathematics: The Problems They Solved, Why These Are Important, and What You Should Know about Them (en). Rotterdam: Sense Publishers, 2017 — 221-bet. ISBN 978-9463008938.

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