Googol

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

Etimologiyasi[tahrir | manbasini tahrirlash]

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[tahrir | manbasini tahrirlash]

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[tahrir | manbasini tahrirlash]

Aytilishicha, mashhur „Google“ kompaniyasi oʻziga nom qoʻyayotganida aynan „Googol“ soʻzidan foydalanmoqchi boʻlishadi. Ammo bunday domen band boʻlganligi 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[tahrir | manbasini tahrirlash]

Googolplex
Graham raqami
Skewes raqami
Cheksizlik
Katta sonlarning nomlari

Foydalanilgan adabiyotlar[tahrir | manbasini tahrirlash]

↑ 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. 2022-yil 15-aprelda qaraldi.
↑ Stewart, Ian. Infinity: A Very Short Introduction. New York, NY: Oxford University Press, 2017 — 20 bet. ISBN 978-0-19-875523-4. 2022-yil 15-aprelda qaraldi.
↑ „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. 2022-yil 15-aprelda qaraldi.

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

[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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