Ntxiv · Cov ntawv yuav nyeem · 8 feeb

Phau ntawv txog roulette: daim ntawv teev nyeem

Cov phau ntawv thiab cov ntawv tshawb fawb txog roulette uas lub vev xaib no tso siab rau, nees nkaum ob phau, txij ntawm ib phau ntawv xyoo 1657 txog qhov xav tias yuav tau mus txog ib phau ntawv kawm xyoo 2025, nrog ib kab lus qhia tias vim li cas txhua phau thiaj tseem ceeb.

Lus teb luv

Lej (Huygens, Bernoulli, Halmos, Feller, Thorp, Epstein, Ethier, thiab cov ntawv kawm tshiab ntawm Bollman, Taylor thiab Hunacek), keeb kwm (Lablée, Barnhart, Schwartz, Kavanagh, Marcus, Goldman), physics (Bass, Small & Tse) thiab ib phau ntawv dab neeg uas zoo dua lawv tag nrho (Dostoevsky). Txhua yam ntawm lub vev xaib no tso siab rau lub txee ntawv no.

qub tshaj
Huygens, 1657
tshiab tshaj
Hunacek, 2025
phau ntawv zoo tshaj ib phau
Ethier, 2010
phau ntawv dab neeg zoo tshaj
The Gambler, 1866

Lej

phau ntawvxyoovim li cas nyeem
Huygens, De Ratiociniis in Ludo Aleae1657thawj qhov kev piav txog qhov xav tias yuav tau uas luam tawm; EV pib los ntawm no
Bernoulli, Ars Conjectandi1713txoj cai ntawm cov lej loj, uas cov txheej txheem twv to taub yuam kev
Halmos, “Invariants of certain stochastic transformations”1939thawj qhov pov thawj dav dav tias tsis muaj txheej txheem twv twg hloov tau qhov tshwm sim xav tias yuav tau
Feller, An Introduction to Probability Theory, vol. 11968gambler’s ruin, kev taug kev random, kab sib law liag; phau ntawv siv los xyuas li niaj zaus
Thorp, “Optimal gambling systems for favorable games”1969thaum twg cov txheej txheem twv pab tau (tsuas yog hauv kev ua si uas koj muaj feem zoo dua) thiab cov xwm txheej tom qab qhov tshwm sim tias tsis muaj txheej txheem twg pab tau
Thorp, The Mathematics of Gambling1984zaj dab neeg ntawm lub computer roulette uas nws tus tsim qhia, nrog kev suav lej tias yuav twv npaum li cas thaum muaj feem zoo dua
Epstein, The Theory of Gambling and Statistical Logic2013 (tsab thib 2)txhua yam kev ua si hauv tsev twv txiaj raug tshuaj xyuas; roulette nyob hauv nws qhov chaw
Ethier, The Doctrine of Chances2010kev piav lej txog roulette uas tiav tshaj plaws uas tau luam tawm
Bollman, Mathematics of the Big Four Casino Table Games2021kev twv ntxiv, cov log txawv txawv thiab roulette npav raug suav nqi ib qho zuj zus, nrog kev xyaum
Taylor, Games, Gambling, and Probability2021 (tsab thib 2)kab sib law liag, kev twv Kelly thiab gambler’s ruin qhia ua ib chav kawm
Bollman, Basic Gambling Mathematics2024 (tsab thib 2)cov kev txhawb nqa thiab nyiaj xa rov qab ntawm tsev twv txiaj, thiab daim npav qhia qhov tshwm sim them rov qab nws tus nqi rau tsev twv txiaj sai npaum li cas
Hunacek, Quantitative Literacy Through Games and Gambling2025ib chav kawm thawj zaug uas maj mam; kuaj nws cov lus hais tias txhua qhov twv muaj tib nqi xav tias yuav tau, uas kev twv tsib tus lej ua txhaum

Keeb kwm

phau ntawvxyoovim li cas nyeem
Lablée, La Roulette, ou le Jour1801thawj qhov kev piav tag nrho txog kev ua si no, hauv ib phau ntawv dab neeg
Barnhart, Beating the Wheel1992keeb kwm ntawm kev ua si log tsis ncaj: Jagger, cov neeg ua ntej tsev neeg Pelayo, cov txoj kev ua
Schwartz, Roll the Bones2006keeb kwm dav dav ntawm kev twv txiaj; roulette qhov chaw hauv nws
Kavanagh, Dice, Cards, Wheels2005kab lis kev cai twv txiaj Fabkis; Palais-Royal thiab cov chaw da dej kub
Marcus, American Roulette2003past-posting (tso nyiaj twv tom qab paub qhov tshwm sim lawm) piav los ntawm sab hauv los ntawm nws tus neeg ua uas paub zoo tshaj
Goldman, Great Gambling Scams2007Leigh hauv Nice, Marcus thiab Ritz rov qhia dua; nyeem lom zem, thiab yuam kev ntau yam (saib Kev dag roulette)

Physics thiab kev ua si kom nce ntsis

phau ntawvxyoovim li cas nyeem
Bass, The Eudaemonic Pie1985zaj dab neeg ntawm lub computer hauv khau; phau ntawv nrov zoo tshaj txog physics ntawm roulette
Small & Tse, “Predicting the outcome of roulette”2012physics ntawm kev kwv yees, ntsuas tiag; yam uas yuav tsum muaj thiaj muaj feem zoo dua
Pearson, “On the criterion…”1900kev sim chi-square, qhia siv cov zaus kiv roulette

Physics ntawm lub log roulette

Phau ntawv dab neeg

Dostoevsky, The Gambler (1866). Sau hauv 26 hnub kom txog hnub kawg ntawm daim ntawv cog lus nrog tus luam ntawv, los ntawm ib tus kws sau ntawv uas tshuav nuj nqis ntau heev vim roulette; kev xav yuam kev ntawm neeg twv txiaj, txheej txheem twv, kev tswj tsis tau tus kheej thiab lub tsev twv txiaj ntawm chaw da dej kub piav los ntawm sab hauv. Luv dua txhua phau ntawv roulette saum toj no thiab tseeb dua feem ntau ntawm lawv.

Bad Homburg thiab cov tsev twv txiaj hauv lub nroog dej kubRoulettenburg ntawm Dostoevsky

Cov phau ntawv roulette zoo tshaj rau txhua lub hom phiaj

Rau kev suav lej, Ethier thiab ces Feller. Rau cov dab neeg, Barnhart thiab Bass. Rau qhov vim li cas neeg tseem ua si, Dostoevsky. Rau qhov pov thawj uas xaus txhua qhov kev sib cav txog txheej txheem twv, Halmos, thiab rau tib qhov tshwm sim ua lus yooj yim, Thorp phau ntawv xyoo 1984. Rau kev xyaum, Taylor lossis Bollman. Lub thawv Cov chaw siv los ntawm txhua tsab xov xwm ntawm lub vev xaib no hais txog cov ntawv ntawm lub txee no.

Cov lus nug

Puas muaj cov phau ntawv tswv yim roulette zoo?

Tsis muaj ib phau twg uas muag txheej txheem twv. Thorp phau ntawv xyoo 1984 muaj ib tshooj luv txog vim li cas lawv tsis ua hauj lwm; Epstein thiab Ethier piav txog txhua qhov tus qauv.

Kuv nyeem tau Pearson lossis Huygens qhov twg?

Ob qho tsis muaj cai luam tawm lawm thiab muaj online. Pearson nyuaj nyeem; Huygens luv thiab nyeem tau yooj yim tsis xav txog thaum txhais lawm.

Lus lom zem

Txhua yam ntawm lub vev xaib no yog ib kab lus piav ntxiv rau lub txee ntawv no.

Txhua yam ntawm lub vev xaib no yog ib kab lus piav ntxiv rau lub txee ntawv no.

Qhov chaw los

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Tshooj 13, roulette.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3rd ed., 1968. Gambler’s ruin, tshooj 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, 1992.
  8. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Tshooj 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.
Hais txog pebQhov chaw losKeeb kwm & kab lis kev caiRoulette hauv cov ntaub ntawv sauKeeb kwm & kab lis kev caiKeeb kwm cov txheej txheem twv rouletteKeeb kwm & kab lis kev caiPawg Eudaemons
kuaj xyuas 2026-09-28qauv: roulette Europe, ib lub xoomtxoj kev ua haujlwm ↗qhov chaw los ↗