Ilebhu ye-roulette · Ilebhu · Ifiziksi · imizuzu eyi-8

Ukucotha

Inxalenye enye yomjikelo enokuqikelelwa ngokwenene.

Impendulo emfutshane

Ukucotha kwebhola emzileni kulandela igophe elithambileyo elimiselwa kukukhuhlana nokuxhathisa komoya. Ukusuka kumaxesha ambalwa ojikelezo ungaqikelela ixesha lokuwa ngaphakathi kwenxalenye yomzuzwana. Ukusasazeka emva koko kuwutshabalalisa uninzi lolo kuchana.

imodeli
v′ = −(a + b·v)
ukuqikeleleka emzileni
kuphezulu
ukuqikeleleka emva kokuwa
kuphantsi
impazamo yexesha lokuwa
0.1–0.3 s iyafikeleleka

Imodeli

Phatha ibholaizixhoboIbholaIbhola encinci ephoswa emzileni ngokuchasene nerotha. Iibhola zanamhlanje zenziwe nge-ivorine okanye nge-Teflon, zi-18–21 mm.Funda yonke → njengecothayo phantsi kwenxalenye engatshintshiyo a (ukukhuhlana kokuqengqeleka) nenxalenye enomlinganiselo ohambelana nesantya b·v (ukuxhathisa komoya nelahleko ezixhomekeke kwisantya): dv/dt = −(a + bv). Isisombululo kukusondela ngokuphindaphindeka kwisantya esibalulekileyo sokuwa. Ixesha lojikelezo T = 2πr/v ke ngoko liyakhula ujikelezo ngalunye ngesixa esikhulayo. Fumana u-a no-b kujikelezo lokuqala olumbalwa kwaye ujikelezo oluseleyo, nexesha lokuwa, luyalandela. Akukho nto ingaqhelekanga apha; yimekhanikhi yonyaka wokuqala esetyenziswe kwibhola esemzileni.

okulinganisiweyoukulungelelaniswa kwemodeliujikelezo oluseleyo oluqikelelweyoixesha lokuwa eliqikelelweyookwenyani
ujikelezo 1–3: 0.63, 0.67, 0.72 sa, b zilungelelanisiwe912.6 s12.4 s
ujikelezo 1–4kulungelelaniswe kwakhona812.5 s12.4 s
ujikelezo 1–6kulungelelaniswe kwakhona612.4 s12.4 s
Ngumzekelo. Ujikelezo ngalunye olongezelelweyo luqinisa uqikelelo. Ngokwenyani impazamo ye-0.1–0.3 s xa iwa iyafikeleleka ngomzilaococekileyo nesandla esizinzileyo.

Uqikelelo luthenga ntoni

Ixesha lokuwa ngaphakathi kwe-0.2 yomzuzwana, lidityaniswe nesantya serothaizixhoboIrothaInxalenye ejikelezayo yevili ethwele izikhewu.Funda yonke → sezikhewuizixhoboIsikhewuEsinye sezikhewu ezingama-37 ezinamanani kwirotha. Kwakhona: slot, cup.Funda yonke → ezili-15 ngomzuzwana, lifumana isikhewu esingaphantsi kwendawo yokuwa ngaphakathi kwezikhewu ezimalunga nesithathu. Leyo yindaba emnandi kumqikeleli. Indaba embi kukuba emva koko ibhola iwela i-apronizixhoboI-apronIndawo ethambekileyo phakathi komzila webhola nezikhewu, apho kukho khona iziphambukisi.Funda yonke →, ibethe isiphambukisiizixhoboIsiphambukisiEsinye sezithintelo zentsimbi kwi-apron ezisasaza ibhola ewayo. Kwakhona: canoe, diamond, pin.Funda yonke → ize itsibe kwizahluliizixhoboIsahluliIsahluli sentsimbi phakathi kwezikhewu ezimbini evilini.Funda yonke →, kwaye isikhewu sokugqibela sisasazeke kukwabiwa okubanzi kwezikhewu ezingama-20 ukuya kwezingama-30. Ukuchana kwesigaba somzila ubukhulu becala kudliwa kukusasazeka kwesigaba sokuwa.

Ifiziksi yebhola ye-rouletteIsantya serotha ye-roulette

Yintoni eseleyo

Ukuba ukwabiwa kokusasazeka kunencopho, ukuze ibhola iwele kufutshane nesikhewu sokuwa kaninzi kunangethamsanqa, ngoko ukubheja icandeloiviliIcandeloIsiqwenga esiqhubekayo sezikhewu evilini, esahlukileyo kwiqela elikwibhodi yokubheja.Funda yonke → elijikeleze isikhewu esiqikelelweyo kunika inzuzo encinci. USmall noTse (2012) bakulinganisa oku elebhu ngekhamera baza bafumana amazinga okuphuma kwecandelo eliqikelelweyo aphezulu ngokwaneleyo ukuguqula inzuzo yekhasinoizibaloInzuzo yekhasinoIsabelo sebheji nganye esigcinwa yikhasino ngokomndilili: 2.70% kwi-roulette yaseYurophu.Funda yonke → ibe yinzuzo yomdlali yeepesenti ezimbalwa. Iimeko zabo, ukubona okupheleleyo ukusuka phezulu, ivili elaziwayo, iibheji ezibekwa emva kokuphoswa kwebhola, azikho etafileni ebukhoma.

Ukuchana kuya phi (umzekelo)izikhewu zokungaqiniseki
ixesha lokuwa ±0.2 s × izikhewu ezili-15/s
± 3
ukulinganiswa kwesigaba serotha
± 1
ukubetha isiphambukisi
± 10
ukutsiba kwizahluli
± 6
izikhewu zokungaqiniseki
05± 10
Ezimbini zokuqala zinokuncitshiswa ngokuziqhelisa nangezixhobo. Ezimbini zokugqibela luyilo lwevili.

Yintoni etshintshayo iyure ngeyure

Amanani amabini angatshintshiyo akamiselwanga ivili. I-Eudaemons, eyalinganisa ixesha levili lekhasino iminyaka ngeminyaka yee-1970, yafumanisa ukuba umoya wenza uninzi lokucothisa, ngaphezu komzila, nokuba ibhola ibalulekile: ibhola ye-Teflon yayiphulukana nesantya kabini ngokukhawuleza kuneyenziwe ngento efana neebhola zebhiliyadi. Kwakhona babona uqikelelo lwabo lutyibilika nge-5 ukuya kwi-10% ngeyure xa kuvulwa umnyango okanye imozulu itshintsha, kuba umoya ofumileyo okanye onzima ucothisa ibhola kwangethuba. Inkqubo yabo ke ngoko yayigcina izicwangciso ezahlukeneyo zezinga lokucotha kwebhola nesantya ishiya ngaso umzila, kwaye umdlali wayezisetha kwakhona zombini kwitafile nganye naxa uqikelelo luqalisa ukutyibilika.

The Eudaemons

Kutheni iLebhu ye-roulette ichaza oku

Hayi ukuze nabani na akwazi ukukwenza. Kukubonisa ukuba ukungacwangciswa komdlalo kuqulathe ntoni ngokwenene: isigaba esimiselweyo esikhuselwa ziikhasino ngokuvala iibheji kwangethuba nangobuncinane bojikelezo, nesigaba esingalawulekiyo esizikhusela ngaso ngeziphambukisi nangezahluli eziphantsi. Umdlali okuqondayo oku uyaqonda ukuba kutheni i-2.70% ikhuselekile.

Ukwenza izibalo ngokwakho

Linganisa ixesha lebhola idlula isiphambukisi kuwo nawuphi na umsasazo kujikelezo oluthathu uze uqikelele okuseleyo; uya kuba ngaphakathi kojikelezo olunye lokuwa uninzi lwexesha, nto leyo isigaba esimiselweyo sisebenza njengoko kuchaziwe. Emva koko bukela apho ibhola iwela khona ngokwenene ngokunxulumene nesikhewu esingaphantsi kwendawo yokuwa, uze ugcine ubalo lwemijikelo engamashumi amahlanu. Ubalo lukwabiwa kokusasazeka, kwaye ububanzi bakho yimpendulo yombuzo othi “kutheni le nto ingenakoyiswa?”.

Iwotshi yokumisa ilinganisa ixesha lebhola idlula isiphambukisi; ubalo luba kukwabiwa kokusasazeka.

Ifomula

dv/dt = −(a + b·v)
T(ujikelezo) = 2πr / v

Imibuzo

Ingaba imodeli ichanile ngokupheleleyo?

Hayi. Ukukhuhlana kwahluka ngothuli, ukufuma nokuguga. Abaqikeleli baphinda balungelelanise kumjikelo ngamnye.

Udinga ujikelezo olungakanani?

Oluthathu lunika uqikelelo olumalunga; oluhlanu okanye oluthandathu olulungileyo. Ubuncinane bezitudiyo bojikelezo olune bushiya ixesha elincinci lokubheja, kwaye iibheji zivaliwe nokuba kunjalo.

Ingaba ukhona umntu owenza imali ngale ndlela?

Abambalwa, okwexeshana, ngezixhobo, phambi kokuba iikhasino ziziqhelanise nemithetho ilandele. Jonga Ukudlala ngenzuzo kwi-roulette.

Ukonwaba ngezibalo

Qala uzizame ngokwakho. Isisombululo ngasinye sisongiwe; sivule xa ukulungele.

  1. Kwimodeli ka-Thorp yomzekelo yebholaizixhoboIbholaIbhola encinci ephoswa emzileni ngokuchasene nerotha. Iibhola zanamhlanje zenziwe nge-ivorine okanye nge-Teflon, zi-18–21 mm.Funda yonke → ecothayo, ukuba ujikelezo olunye kumzila luthatha imizuzwana eli-T, ibhola inojikelezo olungu-1/(e^(3T/20) − 1) − 10/3 olusele ngaphambi kokuba ishiye umzila. Lungakanani olusele emva kojikelezo lwesiqingatha somzuzwana, nasemva kolomzuzwana opheleleyo? Ukutyibilika kokubala ixesha kwemizuzwana engu-0.012 ku-T = 0.8 kuhambisa uqikelelo kangakanani?

    Bonisa isisombululo

    Impendulo Malunga nojikelezo olu-9.5 emva kojikelezo lwesiqingatha somzuzwana kunye no-2.85 emva kojikelezo lomzuzwana omnye. Ukutyibilika kuhambisa uqikelelo malunga no-0.12 wojikelezo, malunga nezikhewuizixhoboIsikhewuEsinye sezikhewu ezingama-37 ezinamanani kwirotha. Kwakhona: slot, cup.Funda yonke → ezi-4½.

    T = 0.5: 3T/20 = 0.075 kwaye e^0.075 ≈ 1.0779, ngoko 1/0.0779 ≈ 12.84, kwaye 12.84 − 3.33 ≈ 9.51 ujikelezo. T = 1: e^0.15 ≈ 1.1618, 1/0.1618 ≈ 6.18, kwaye 6.18 − 3.33 ≈ 2.85. Ujikelezo olukhawulezayo luthetha ujikelezo oluninzi olusele, kwaye ujikelezo olucotha kabini lushiya ngaphantsi kwesinye kwisithathu salo.

    Ku-T = 0.8 ifomula inika ujikelezo olu-4.51; ku-T = 0.812 inika u-4.39. Ukutyibilika kwamawaka ali-12 omzuzwana, malunga nexesha ibhola eliqengqeleka ngalo ububanzi bayo, kuhambisa uqikelelo ngo-0.12 wojikelezo: malunga nezikhewu ezi-4½ zevili lezikhewu ezingama-37. Oko kutyibilika kunye kuninzi lwezikhewu ezi-5.5 uhlahlo-lwabiwo lweempazamo luka-Thorp oluzivumelayo ekubaleni ixesha lebhola (jonga Ukudlala ngenzuzo), kwaye kungenxa yoko iwotshi, hayi izibalo, enciphisa umqikeleli.

Uncumo

Iyaqikeleleka ukuya ekuweni. Emva koko iziphambukisi.

Iyaqikeleleka ukuya ekuweni. Emva koko iziphambukisi.

Imithombo

  1. Small, M. & Tse, C. K. “Predicting the outcome of roulette.” Chaos 22(3), 2012.
  2. Bass, T. A. The Eudaemonic Pie. Houghton Mifflin, 1985.
  3. Thorp, E. O. “Optimal gambling systems for favorable games.” Review of the International Statistical Institute 37(3), 1969.
ihlolwe ngo-2026-09-28imodeli: yaseYurophu, iqanda elinyeindlela yokusebenza ↗imithombo ↗