Laboratwari ya Roulette · Laboratwari · Fiziki · iminota 8

Igabanuka ry'Umuvuduko

Igice kimwe rukumbi cy'izunguruka gishobora guteganywa koko.

Igisubizo kigufi

Igabanuka ry'umuvuduko w'agapira ku nzira rikurikira umurongo woroshye ugenwa n'ubushyamirane n'ubukana bw'umwuka. Uhereye ku bihe by'inshuro nke, ushobora kugereranya igihe kazava ku nzira ku ikosa riri munsi y'isegonda. Ugutatana gukurikiraho gusenya ibyinshi muri ubwo busobanuke.

icyitegererezo
v′ = −(a + b·v)
guteganya ku nzira
biri hejuru
guteganya nyuma yo kuva ku nzira
biri hasi
ikosa ry'igihe cyo kuva ku nzira
0,1–0,3 s birashoboka

Icyitegererezo

Fata agapiraibikoreshoAgapiraAgapira gato koherezwa mu nzira kerekeza mu cyerekezo kinyuranye n'icya rotor. Udupira tw'iki gihe dukozwe muri ivorine cyangwa Teflon, mm 18–21.Soma byose → nk'akagabanya umuvuduko bitewe n'igice gihoraho a (ubushyamirane bwo kuzunguruka) n'igice kingana n'umuvuduko b·v (ubukana bw'umwuka n'ibindi bitakara bijyana n'umuvuduko): dv/dt = −(a + bv). Igisubizo ni ukwegera umuvuduko ntarengwa wo kuva ku nzira mu buryo bwa exponentiel. Bityo igihe cy'inshuro T = 2πr/v cyiyongera kuri buri nshuro ku ngano igenda irushaho kuba nini. Bara a na b uhereye ku nshuro za mbere nke, maze inshuro zisigaye n'igihe cyo kuva ku nzira bikamenyekana. Nta kidasanzwe kiri hano; ni ubukanishi bw'umwaka wa mbere bukoreshwa ku gapira kari ku nzira.

ibyapimweguhuza icyitegererezoinshuro zisigaye zateganyijweigihe cyo kuva ku nzira cyateganyijwenyacyo
inshuro 1–3: 0,63, 0,67, 0,72 sa, b byabazwe912,6 s12,4 s
inshuro 1–4kongera kubara812,5 s12,4 s
inshuro 1–6kongera kubara612,4 s12,4 s
Ni urugero. Buri nshuro yiyongereyeho ituma igereranya rirushaho kuba nyaryo. Mu bikorwa, ikosa rya 0,1–0,3 s ku gihe cyo kuva ku nzira rirashoboka iyo inzira isukuye n'ukuboko kudatigita.

Icyo igereranya ritanga

Igihe cyo kuva ku nzira kizwi ku ikosa riri munsi ya masegonda 0,2, gihujwe n'umuvuduko wa rotoribikoreshoRotorIgice cy'uruziga kizenguruka gitwaye utuzu.Soma byose → w'utuzuibikoreshoAkazuKamwe mu tuzu 37 twanditseho imibare turi kuri rotor. Nanone: slot, cup.Soma byose → 15 ku isegonda, kigaragaza akazu kari munsi y'aho agapira kava ku nzira ku ikosa rya hafi utuzu dutatu. Iyo ni inkuru nziza ku uteganya. Inkuru mbi ni uko agapira gakurikizaho kunyura kuri apronibikoreshoApronIgice gihanamye kiri hagati y'inzira y'agapira n'utuzu, aho deflectors ziba ziri.Soma byose →, kagakubita deflectoribikoreshoDeflectorKimwe mu bimenyetso by'icyuma biri kuri apron bitatanya agapira kagwa. Nanone: canoe, diamond, pin.Soma byose → kandi kagasimbuka kuri fretibikoreshoFretUrukuta rw'icyuma rutandukanya utuzu tubiri ku ruziga.Soma byose →, maze akazu ka nyuma kagakwira ku ikwirakwizwa ry'ubugari bw'utuzu 20 kugeza kuri 30. Ubusobanuke bw'igice cy'inzira ahanini burashirira mu gutatana kw'igice cyo kuva ku nzira.

Fiziki y'Agapira ka RouletteUmuvuduko wa Rotor ya Roulette

Ibisigara

Niba ikwirakwizwa ry'ugutatana rifite isonga, ku buryo agapira kagwa hafi y'akazu ko kuva ku nzira kenshi kurusha uko byaba ku bw'amahirwe, gutega ku gice cy'uruzigauruzigaIgice cy'uruzigaUmuheto w'utuzu dukurikirana ku ruziga, bitandukanye n'itsinda ku mbonerahamwe y'amatega.Soma byose → kizengurutse akazu kateganyijwe bitanga inyungu ntoya. Small na Tse (2012) babipimiye muri laboratwari bakoresheje kamera, basanga igice cy'uruziga cyateganyijwe kigerwaho kenshi bihagije ku buryo inyungu ya kazinoimibareInyungu ya kazinoIgice cya buri tega kazino igumana ku mpuzandengo: 2,70% muri roulette y'i Burayi.Soma byose → ihinduka inyungu y'umukinnyi ya ijanisha rike. Ibyo bari bafite, kureba uruziga rwose uri hejuru, uruziga ruzwi, amatega ashyirwaho nyuma y'uko agapira gaterwa, ntibiboneka ku meza y'imbonankubone.

Aho ubusobanuke bujya (urugero)utuzu tw'ukutamenya
igihe cyo kuva ku nzira ±0,2 s × utuzu 15/s
± 3
gupima aho rotor iri
± 1
gukubita deflector
± 10
gusimbuka kuri fret
± 6
utuzu tw'ukutamenya
05± 10
Bibiri bya mbere bishobora kugabanywa n'imyitozo n'ibikoresho. Bibiri bya nyuma ni imiterere y'uruziga ubwayo.

Ibihinduka buri saha

Ibyo bipimo bibiri ntibihoraho ku ruziga. Abitwa Eudaemons, bapimye igihe ku ruziga rwa kazino imyaka myinshi mu myaka ya 1970, basanze umwuka ari wo ugabanya umuvuduko cyane, kurusha inzira, kandi ko agapira gafite akamaro: agapira ka Teflon katakazaga umuvuduko vuba incuro ebyiri kurusha agakozwe mu bikoresho bikora udupira twa biyari. Babonye kandi ibyo bateganyaga bigenda bitandukana ku 5 kugeza ku 10% mu isaha iyo urugi rwafunguwe cyangwa ikirere gihindutse, kuko umwuka urimo ubuhehere cyangwa uremereye ugabanya umuvuduko w'agapira vuba. Ni yo mpamvu porogaramu yabo yari ifite igenamiterere ritandukanye ry'uko agapira kagabanya umuvuduko n'iry'umuvuduko kaviraho ku nzira, kandi umukinnyi yongeraga guhindura byombi kuri buri meza no buri gihe ibyo bateganyaga bitangiye gutandukana.

The Eudaemons

Impamvu Laboratwari isobanura ibi

Si ukugira ngo umuntu wese abikore. Ni ukwerekana icyo amahirwe y'umukino agizwe na cyo koko: igice gishobora guteganywa kazino zirinda zifunga amatega kare kandi zigasaba umubare muto ntarengwa w'inshuro, n'igice cy'akajagari zirinda zikoresheje deflector na fret ngufi. Umukinnyi ubyumva yumva impamvu 2,70% itekanye.

Kwibarira imibare ubwawe

Pima igihe agapira kanyura imbere ya deflector kuri videwo iyo ari yo yose y'imbonankubone mu nshuro eshatu, maze ukomeze ubare; akenshi uzaba uri hafi y'inshuro imwe y'aho kava ku nzira, ibyo bikaba ari igice gishobora guteganywa gikora nk'uko byasobanuwe. Hanyuma urebe aho agapira kagwa koko ugereranyije n'akazu kari munsi y'aho kava ku nzira, ubyandike mu mazunguruka mirongo itanu. Ibyo wanditse ni ikwirakwizwa ry'ugutatana, kandi ubugari bwaryo ni cyo gisubizo cy'ikibazo “kuki ibi bidashobora gutsindwa?”.

Isaha ipima igihe agapira kanyura imbere ya deflector; ibyanditswe bihinduka ikwirakwizwa ry'ugutatana.

Formula

dv/dt = −(a + b·v)
T(lap) = 2πr / v

Ibibazo

Ese icyitegererezo ni nyacyo neza?

Oya. Ubushyamirane buhinduka bitewe n'umukungugu, ubuhehere n'ugusaza. Abateganya bongera kubara buri zunguruka.

Ukeneye inshuro zingahe?

Eshatu zitanga igereranya ritanoze; eshanu cyangwa esheshatu zitanga irinoze. Umubare muto ntarengwa wa sitidiyo w'inshuro enye usiga igihe gito cyo gutega, kandi n'ubundi amatega aba yafunzwe.

Ese hari uwabonye amafaranga muri ubu buryo?

Bake, mu gihe gito, bakoresheje ibikoresho, mbere y'uko kazino zihinduka n'amategeko agakurikiraho. Reba Gukina Ushaka Inyungu muri Roulette.

Kwishimisha n'Imibare

Banza ubigerageze ubwawe. Buri gisubizo kirapfunyitse; ugifungure igihe witeguye.

  1. Mu buryo bwa Thorp bwo gusobanura agapiraibikoreshoAgapiraAgapira gato koherezwa mu nzira kerekeza mu cyerekezo kinyuranye n'icya rotor. Udupira tw'iki gihe dukozwe muri ivorine cyangwa Teflon, mm 18–21.Soma byose → kagenda gatinda, niba umuzenguruko umwe mu nzira y'agapira utwara amasegonda T, agapira gasigaje imizenguruko 1/(e^(3T/20) − 1) − 10/3 mbere yo kuva mu nzira. Hasigaye ingahe nyuma y'umuzenguruko w'igice cy'isegonda, na nyuma y'uw'isegonda ryuzuye? Kwibeshya ku gupima igihe ho amasegonda 0,012 kuri T = 0,8 bimura ihanura ho angahe?

    Erekana igisubizo

    Igisubizo Hafi imizenguruko 9,5 nyuma y'umuzenguruko w'igice cy'isegonda na 2,85 nyuma y'uw'isegonda rimwe. Kwibeshya kwimura ihanura ho hafi 0,12 by'umuzenguruko, hafi utuzuibikoreshoAkazuKamwe mu tuzu 37 twanditseho imibare turi kuri rotor. Nanone: slot, cup.Soma byose → 4½.

    T = 0,5: 3T/20 = 0,075 na e^0,075 ≈ 1,0779, bityo 1/0,0779 ≈ 12,84, na 12,84 − 3,33 ≈ imizenguruko 9,51. T = 1: e^0,15 ≈ 1,1618, 1/0,1618 ≈ 6,18, na 6,18 − 3,33 ≈ 2,85. Umuzenguruko wihuta bivuze imizenguruko myinshi isigaye, kandi umuzenguruko utinda incuro ebyiri usiga munsi ya kimwe cya gatatu cyayo.

    Kuri T = 0,8 inzira y'imibare itanga imizenguruko 4,51; kuri T = 0,812 itanga 4,39. Kwibeshya kw'ibihumbi 12 by'isegonda, hafi igihe agapira gafata kuzunguruka ubugari bwako, kwimura ihanura ho 0,12 by'umuzenguruko: hafi utuzu 4½ tw'uruziga rw'utuzu 37. Uko kwibeshya kumwe ni igice kinini cy'utuzu 5,5 ingengo y'amakosa ya Thorp yemerera gupima igihe cy'agapira (reba Gukina Ushaka Inyungu muri Roulette), kandi ni yo mpamvu isaha, atari imibare, ari yo igabanya uhanura.

Akanya k'urwenya

Biteganywa kugeza agapira kava ku nzira. Hanyuma deflector zikinjira.

Biteganywa kugeza agapira kava ku nzira. Hanyuma deflector zikinjira.

Inkomoko

  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.
byasuzumwe 2026-09-28icyitegererezo: uruziga rw'i Burayi, zeru imweuburyo bwakoreshejwe ↗inkomoko ↗