Kwehla kwesivinini
Lokuyincenye yinye kuphela yekujikeleta lengabikezelwa ngempela.
Kwehla kwesivinini selibhola emzileni kulandzela lijika lelibushelelezi lelincunywa kuhlikihlana nekuvinjwa ngumoya. Ngetikhatsi letimbalwa temizungeleto ungalinganisa sikhatsi sekuwa ngekunemba lokuyincenye yemzuzwana. Kuhlakateka lokulandzelako kucedza lokunyenti kwaloko kunemba.
Imodeli
Tsatsa libholatinsitaLibholaLibhola lelincane leliphoswa emzileni lihamba ngakulolunye luhlangotsi kune-rotor. Emabhola alamuhla ayi-ivorine noma i-Teflon, 18–21 mm.Fundza konkhe → njengalelehlisa sivinini ngenca yelinani lelingashintji a (kuhlikihlana kwekugingcika) kanye nelinani lelihambisana nesivinini b·v (kuvinjwa ngumoya nekulahlekelwa lokuncike esivinini): dv/dt = −(a + bv). Sisombululo kusondzela nge-exponential esivinini lesibalulekile sekuwa. Ngako sikhatsi semzungeleto T = 2πr/v sikhula umzungeleto ngamunye ngelinani lelikhulako. Tfola a na-b emizungeletweni lembalwa yekucala, bese imizungeleto lesele, nesikhatsi sekuwa, kuyalandzela. Kute lutfo lolungajwayelekile lapha; yi-mechanics yemnyaka wekucala lesetjentiswa elibholeni lelisemzileni.
Loko silinganiso lesikutfolako
Sikhatsi sekuwa lesinembe ngekhatsi kwemizuzwana lengu-0.2, kuhlanganiswe nesivinini se-rotortinsitaI-rotorIngcenye yelisondvo lejikeletako lephetse imigodzi.Fundza konkhe → semigodzitinsitaUmgodziLesinye setikhala letingu-37 letinetinombolo ku-rotor. Kuphindze kutsiwe: slot, cup.Fundza konkhe → lengu-15 ngemzuzwana, sitfola umgodzi longaphansi kwendzawo yekuwa ngekunemba lokucishe kube ngimigodzi lemitsatfu. Leto tindzaba letinhle kumbikezeli. Tindzaba letimbi kutsi libhola bese liwela i-aprontinsitaI-apronIndzawo letsambekile emkhatsini wemzila welibhola nemigodzi, lapho kuhlala khona ema-deflector.Fundza konkhe →, lishaye i-deflectortinsitaI-deflectorLesinye setivimbo tensimbi ku-apron letisakata libhola leliwako. Lamanye emagama: canoe, diamond, pin.Fundza konkhe → futsi ligcume liwela ema-frettinsitaI-fretLukhuni lwensimbi loluhlukanisa imigodzi lemibili elisondvweni.Fundza konkhe →, kantsi umgodzi wekugcina usabalala ekusabalaleni lokubanti ngemigodzi lengu-20 kuya ku-30. Kunemba kwesigaba semzila kucedvwa kakhulu kuhlakateka kwesigaba sekuwa.
I-physics yelibhola le-rouletteSivinini se-rotor ku-roulette
Lokusalako
Nangabe kusabalala kwekuhlakateka kunendzawo levame kakhulu, lokwenta libhola liwele eduze nemgodzi wekuwa kanyenti kunangekungahleleki, kubheja esigabenilisondvoSigabaIngcenye lelandzelanako yemigodzi elisondvweni, lehlukile kulicembu letinombolo elithebuleni lekubheja.Fundza konkhe → lesijikeleta umgodzi lobikezelwe kuniketa inzuzo lencane. Small na-Tse (2012) bakulinganisa loku elabhorethri ngekhamera futsi batfola kutsi tigaba letibikezelwe tishaywa kanyenti ngalokwenele kuguca inzuzo yelikhasinotibaloInzuzo yelikhasinoIncenye yelinani ngalinye lelibhejiwe leligcinwa likhasino ngesilinganiso: 2.70% ku-roulette yaseYurophu.Fundza konkhe → ibe yinzuzo yemdlali lengemaphesenti lambalwa. Timo tabo, kubona ngalokuphelele kusuka etulu, lisondvo lelatiwako, kubheja ngemuva kwekucaliswa kwelibhola, atikho etafuleni lelibukhoma.
Lokushintjako lihora nelihora
Lamanani lamabili akahlali anjalo njalo elisondvweni lelitsite. Ema-Eudaemon, lebebabala sikhatsi selisondvo lelikhasino iminyaka leminyenti ngema-1970, atfola kutsi umoya nguwo lowehlisa sivinini kakhulu, ngetulu kwemzila, nekutsi libhola libalulekile: libhola le-Teflon belilahlekelwa sivinini ngekushesha lokuphindvwe kabili kunalelentiwe ngentfo yemabhola e-billiard. Babona nekutsi tibikezelo tabo tishelela nga-5 kuya ku-10% ngelihora nangabe kuvulwa umnyango nobe simo selitulu sishintja, ngobe umoya lomanti nobe losindzako wehlisa sivinini selibhola masinyane. Ngako luhlelo lwabo belugcina tilungiselelo letehlukene telizinga lekwehla kwesivinini selibhola netesivinini lesiphuma ngaso emzileni, futsi umdlali bekatisetha kabusha kokubili etafuleni ngalinye nanobe nini nangabe tibikezelo ticala kuphambuka.
Kungani Lilabhorethri lichaza loku
Hhayi kute nobe ngubani akwente. Kukhombisa kutsi kungahleleki kwemdlalo kwakhiwe ngini ngempela: sigaba lesilandzela umtsetfo emakhasino lasivikela ngekuvala kubheja kusesekuseni nangelinani lelincane kakhulu lemizungeleto, kanye nesigaba lesingahleleki lasivikela ngema-deflector nema-fret laphansi. Umdlali lokucondzako loku uyacondza kutsi kungani i-2.70% iphephile.
Kutentela tibalo wena
Bala sikhatsi selibhola lendlula i-deflector kunobe ngukuphi kusakata imizungeleto lemitsatfu bese welula sibalo; utawube usondzele ngemzungeleto munye ekuweni sikhatsi lesinyenti, lokusigaba lesilandzela umtsetfo sisebenta njengobe kuchaziwe. Bese ubuka kutsi libhola liwela kuphi ngempela nawucatsanisa nemgodzi longaphansi kwendzawo yekuwa, futsi ugcine emanani ekujikeleta lokungemashumi lasihlanu. Lawo manani akusabalala kwekuhlakateka, futsi bubanti bawo yimphendvulo yembuto lotsi “kungani loku kungehlulwa?”.
Lifomula
Imibuto
Cha. Kuhlikihlana kuyehluka ngenca yelutfuli, kuba manti emoyeni nekuguga. Babikezeli baphindza bafanise imodeli ekujikeleteni ngakunye.
Lemitsatfu iniketa silinganiso lesingacacile kahle; lemihlanu nobe lesitfupha iniketa lesihle. Linani lelincane kakhulu letitudiyo, imizungeleto lemine, lishiya sikhatsi lesincane sekubheja, futsi kubheja kuvaliwe noma kunjalo.
Lambalwa, isikhashana, ngemathulusi, ngaphambi kwekutsi emakhasino atijwayete nesimo nemitsetfo ilandzele. Buka kudlala ngenzuzo ku-roulette.
Bumnandi betibalo
Zama loku ngekwakho kucala. Sixazululo ngasinye sifihliwe; sivule nawukulungele.
Esimodeli sekuchaza sa-Thorp selibholatinsitaLibholaLibhola lelincane leliphoswa emzileni lihamba ngakulolunye luhlangotsi kune-rotor. Emabhola alamuhla ayi-ivorine noma i-Teflon, 18–21 mm.Fundza konkhe → lelehlisa sivinini, nangabe kujikeleta kunye emzileni kutsatsa ema-sekhondi langu-T, libhola lisele nekujikeleta lokungu-1/(e^(3T/20) − 1) − 10/3 ngaphambi kwekutsi liphume emzileni. Kusele lokungakhi ngemuva kwekujikeleta kwengcenye yesekhondi, nangemuva kwekujikeleta kwesekhondi lonkhe? Liphutsa lekulinganisa sikhatsi la-0.012 wesekhondi ku-T = 0.8 lihambisa kubikezela kangakanani?
Khombisa sixazululo
Imphendvulo Cishe kujikeleta lokungu-9.5 ngemuva kwemjikeleto wengcenye yesekhondi na-2.85 ngemuva kwemjikeleto wesekhondi linye. Liphutsa lihambisa kubikezela cishe nga-0.12 wekujikeleta, cishe imigodzitinsitaUmgodziLesinye setikhala letingu-37 letinetinombolo ku-rotor. Kuphindze kutsiwe: slot, cup.Fundza konkhe → lengu-4½.
T = 0.5: 3T/20 = 0.075 futsi e^0.075 ≈ 1.0779, ngako 1/0.0779 ≈ 12.84, futsi 12.84 − 3.33 ≈ 9.51 kujikeleta. T = 1: e^0.15 ≈ 1.1618, 1/0.1618 ≈ 6.18, futsi 6.18 − 3.33 ≈ 2.85. Umjikeleto losheshako usho kujikeleta lokunyenti lokusasele, kantsi umjikeleto lohamba kancane kabili ushiya lokungaphansi kwengcenye yesitsatfu.
Ku-T = 0.8 ifomula inika kujikeleta lokungu-4.51; ku-T = 0.812 inika 4.39. Liphutsa letingcenye letingu-12 kuletinkhulungwane tesekhondi, cishe sikhatsi libhola lelisitsatsako kugingcika bubanti balo, lihambisa kubikezela nga-0.12 wekujikeleta: cishe imigodzi lengu-4½ elisondvweni lelinemigodzi lengu-37. Lelo liphutsa linye lilingcenye lenkhulu yemigodzi lengu-5.5 levunyelwa sabelomali semaphutsa sa-Thorp ekulinganiseni sikhatsi selibhola (buka i-Advantage Play), futsi yingako liwashi, akusiko i-arithmetic, lelibeka umkhawulo kumbikezeli.
Lokuhlekisako
Kungabikezelwa kuze kufike kuwa. Bese kufika ema-deflector.
Imitfombo
- Small, M. & Tse, C. K. “Predicting the outcome of roulette.”
- Bass, T. A. The Eudaemonic Pie.
- Thorp, E. O. “Optimal gambling systems for favorable games.”