Ibindi · Urutonde rwo gusoma · iminota 8

Ibitabo kuri Roulette: Urutonde rwo Gusoma

Ibitabo n'inyandiko kuri roulette uru rubuga rushingiyeho, makumyabiri na bibiri, kuva ku nyandiko yo mu 1657 ku gaciro gateganyijwe kugeza ku gitabo cy'amasomo cyo mu 2025, buri kimwe gifite interuro ivuga impamvu gifite akamaro.

Igisubizo kigufi

Imibare (Huygens, Bernoulli, Halmos, Feller, Thorp, Epstein, Ethier, n'ibitabo by'amasomo bya vuba bya Bollman, Taylor na Hunacek), amateka (Lablée, Barnhart, Schwartz, Kavanagh, Marcus, Goldman), fiziki (Bass, Small & Tse) n'igitabo kimwe cy'inkuru kirusha ibyo byose (Dostoevsky). Ibiri kuri uru rubuga byose bishingiye kuri iri tako ry'ibitabo.

icya kera kurusha ibindi
Huygens, 1657
icya vuba kurusha ibindi
Hunacek, 2025
igitabo kimwe cyiza kurusha ibindi
Ethier, 2010
igitabo cy'inkuru cyiza kurusha ibindi
The Gambler, 1866

Imibare

inyandikoumwakaimpamvu wagisoma
Huygens, De Ratiociniis in Ludo Aleae1657inyandiko ya mbere yacapwe ku gaciro gateganyijwe; aho EV ikomoka
Bernoulli, Ars Conjectandi1713itegeko ry'imibare minini, uburyo bwo gutega butumva neza
Halmos, “Invariants of certain stochastic transformations”1939igihamya cya mbere rusange cy'uko nta buryo bwo gutega buhindura igisubizo giteganyijwe
Feller, An Introduction to Probability Theory, vol. 11968gushira igishoro k'umukinnyi w'urusimbi, urugendo rutunguranye (random walk), uruhererekane rw'ibisubizo; inyandiko y'ifashishwa isanzwe
Thorp, “Optimal gambling systems for favorable games”1969igihe uburyo bwo gutega bushobora gufasha (mu mukino uguhengamiyeho gusa) n'ibisabwa biri inyuma y'igisubizo cy'uko nta buryo bukora
Thorp, The Mathematics of Gambling1984inkuru ya mudasobwa ya roulette ivugwa n'uwayihimbye, n'imibare y'ingano wategeka ku nyungu
Epstein, The Theory of Gambling and Statistical Logic2013 (icapiro rya 2)buri mukino wa kazino usesenguwe; roulette mu rwego rwayo
Ethier, The Doctrine of Chances2010isesengura ry'imibare rya roulette ryuzuye kurusha ayandi yacapwe
Bollman, Mathematics of the Big Four Casino Table Games2021amatega y'inyongera, inziga zidasanzwe na roulette y'amakarita bibazwe kimwe kimwe, hamwe n'imyitozo
Taylor, Games, Gambling, and Probability2021 (icapiro rya 2)uruhererekane rw'ibisubizo, gutega ukurikije Kelly no gushira igishoro k'umukinnyi w'urusimbi bisobanurwa nk'isomo
Bollman, Basic Gambling Mathematics2024 (icapiro rya 2)poromosiyo za kazino n'amafaranga asubizwa, n'uko ikibaho cy'ibisubizo cyishyura vuba ikiguzi cyacyo ku nyungu ya kazino
Hunacek, Quantitative Literacy Through Games and Gambling2025isomo rya mbere ryoroshye; genzura ibyo kivuga ko buri tega rifite agaciro gateganyijwe kamwe, ibyo itega ku mibare itanu rivuguruza

Amateka

inyandikoumwakaimpamvu wagisoma
Lablée, La Roulette, ou le Jour1801isobanura rya mbere ryuzuye ry'umukino, mu gitabo cy'inkuru
Barnhart, Beating the Wheel1983amateka yo gukina ushingiye ku kubogama: Jagger, ababanjirije aba Pelayo, uburyo bakoreshaga
Schwartz, Roll the Bones2006amateka rusange y'urusimbi; umwanya wa roulette muri yo
Kavanagh, Dice, Cards, Wheels2005umuco w'urusimbi w'Abafaransa; Palais-Royal n'imijyi y'amazi ashyushye
Marcus, American Roulette2003past-posting isobanurwa imbere mu bikorwa n'uyikora uzwi kurusha abandi
Goldman, Great Gambling Scams2007Leigh i Nice, Marcus na Ritz byongeye kuvugwa; birashimishije, ariko bifite amakosa ku makuru menshi (reba Uburiganya muri Roulette)

Fiziki n'uburyo bwo gukina bushaka inyungu

inyandikoumwakaimpamvu wagisoma
Bass, The Eudaemonic Pie1985inkuru ya mudasobwa yo mu nkweto; igitabo cyiza kurusha ibindi gisanzwe kivuga kuri fiziki ya roulette
Small & Tse, “Predicting the outcome of roulette”2012fiziki y'iteganya, yapimwe; icyo inyungu isaba
Pearson, “On the criterion…”1900isuzuma rya chi-square, ryerekanwa ku mazunguruka ya roulette

Fiziki y'Uruziga rwa Roulette

Igitabo cy'inkuru

Dostoevsky, The Gambler (1866). Cyanditswe mu minsi 26 kugira ngo cyuzuze igihe ntarengwa cy'amasezerano y'umwanditsi, n'umwanditsi wari ufite amadeni menshi aturuka kuri roulette; ikosa ry'umukinnyi w'urusimbi, uburyo bwo gutega, irari ridashobora kwifata na kazino yo mu mujyi w'amazi ashyushye bivugwa uhereye imbere. Ni kigufi kurusha igitabo icyo ari cyo cyose cya roulette kiri hejuru kandi kivuga ukuri kurusha byinshi muri byo.

Bad Homburg na Kazino zo mu Mijyi y'Amazi AshyushyeRoulettenburg ya Dostoevsky

Ibitabo byiza kurusha ibindi bya roulette kuri buri ntego

Ku mibare, Ethier hanyuma Feller. Ku nkuru, Barnhart na Bass. Ku mpamvu abantu bakina nubwo bimeze bityo, Dostoevsky. Ku gihamya gisoza impaka zose ku buryo bwo gutega, Halmos, naho ku gisubizo kimwe mu magambo yoroshye, igitabo cya Thorp cyo mu 1984. Ku myitozo, Taylor cyangwa Bollman. Agasanduku k'Inkomoko kuri buri nyandiko yo kuri uru rubuga gakura muri iri tako ry'ibitabo.

Ibibazo

Hari ibitabo byiza ku ngamba za roulette?

Nta na kimwe kigurisha uburyo bwo gutega. Igitabo cya Thorp cyo mu 1984 gifite igice kigufi ku mpamvu ubwo buryo bunanirwa; Epstein na Ethier basobanura imiterere ya buri bumwe.

Nasoma Pearson cyangwa Huygens he?

Byombi ntibikirinzwe n'uburenganzira bw'umwanditsi kandi biri kuri interineti. Pearson aragoye gusoma; Huygens ni mugufi kandi asomeka neza bitangaje mu buhinduzi.

Akanya k'urwenya

Ibiri kuri uru rubuga byose ni ibisobanuro by'inyongera kuri iri tako ry'ibitabo.

Ibiri kuri uru rubuga byose ni ibisobanuro by'inyongera kuri iri tako ry'ibitabo.

Inkomoko

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Igice cya 13, roulette.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3rd ed., 1968. Gushira igishoro k'umukinnyi w'urusimbi, igice cya XIV.
  3. Halmos, P. R. “Invariants of certain stochastic transformations: the mathematical theory of gambling systems.” Duke Mathematical Journal 5(2), 1939.
  4. Thorp, E. O. “Optimal gambling systems for favorable games.” Review of the International Statistical Institute 37(3), 1969.
  5. Thorp, E. O. The Mathematics of Gambling. Gambling Times / Lyle Stuart, 1984.
  6. Bass, T. A. The Eudaemonic Pie. Houghton Mifflin, 1985.
  7. Barnhart, R. T. Beating the Wheel. Lyle Stuart, 1983.
  8. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Igice cya 2, roulette.
  9. Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed. CRC Press, 2024.
  10. Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed. CRC Press, 2021.
  11. Hunacek, M. Quantitative Literacy Through Games and Gambling. Chapman & Hall/CRC, 2025.
  12. Marcus, R. American Roulette: How I Turned the Odds Upside Down. St. Martin’s Press, 2003.
  13. Goldman, N. Great Gambling Scams. John Blake, 2007.
IbyerekeyeInkomokoAmateka n'UmucoRoulette mu BuvanganzoAmateka n'UmucoAmateka y'Uburyo bwa RouletteAmateka n'UmucoThe Eudaemons
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