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PostPosted: Feb.24.05 5:35 pm 
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Даяар Дурсагдах Гишvvн
Даяар Дурсагдах Гишvvн
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DaKid wrote:
Usa-d iher huuhed toroh magadlaliig 1/90 gej uzjee, Oooroor helbel 90 eh torohod 1 eh iher huuhed gargah magadlaltai gej uzvel,
1. 30 eh torohod yadaj 1 eh iher huuhed toruuleh magadlaliig ol?
2. 100 eh torohod iher huuhed toroh magadlal mon herhen oorchlogdoh ve?

Hint:

Iher huuhed turuhiig amjilt gej uzvel amjilt garah magadlal p=1/90 baih Binom tarhalttaar l bodogdono. X-eer turshilt (niit ehchuud) dahi amjilt yavagdsan toog (iher huuhed turuulsen ehiin) temdgelbel n ehchuudees yag k shirheg ni iher huuhed turuulsen baih magadlal

P{X=k}=C(n,k)*p^k*(1-p)^(n-k)

tomyogoor todorhoilogdono.
end C(n,k)=n!/(k!*(n-k)!)
Daki chamd amjilt husie :wd:


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PostPosted: Mar.11.05 10:08 pm 
Eichhoernchen wrote:
T.G. wrote:
naad zahiin undeslel gevel P ni BPP-iin ded olonlog bolno :-)

yostoi oilgomjgui yaridag baishd. :-D

Arai todorhoi, t*n*g hun ch oilgohoor tailbarlaad ogooch. plz.
Aahn tiim bas, Neuron -tai yaaj holbogdoh tuhai geed...


za zassss ta nar bollitsgoo oligtoihon shig bodlogo taviachee :mrgreen:


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PostPosted: Mar.19.05 2:22 pm 
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Халих Хvслийн Жигvvр Гишvvн
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jonon hongor wrote:
za joohon magadlal bodotsgooyo end monte carlo argaar bodson bodoltuudiig tootsohgui shuu
a,b,c coefficent-uud U[0,1]-d jigd tarhalttai ul hamaarah sanamsargui hemjigdehuunuud bol ax^2+bx+c=0 quadratic tegshitgel bodit yazguurtai baih magadlaliig ol

Sanaa ni iimerhuu.

D = b^2 -4ac
baihaa...
end, a, b, c bugd jigd tarhalttai baina. D -iin tarhaltiig tootsoolood, D>=0 baih hesgiig ni bodvol ene bodlogo duusna.

Zavgui tul tootsoo hiisengui.


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PostPosted: Jun.13.05 5:24 pm 
jonon hongor wrote:
hyazgaariin teorem gedgiig chini hyazgaariin gol teorem gej oilgoj boloh u?
hyazgaariin gol teorem bol ul hamaarah negen ijil tarhalttai sanamsargui hemjigedhuunii niilber hyazgaartaa normal tarhalttai baidag gesen teorem yum batalgaanii undsen sanaa ni niilber sanamsargui hemjigdehuunii haraktristic funktsiig tayloriin tsuvaand zadlaad hyazgaart shiljihed hyazgaar ni normal tarhaliin haraktristik funkts gardag
ter lotto-g harin sain medehgui yumaa

central limit theorem уу ? Хязгаарын гол тёорем гэхээр Коши моши л бодогдлоо шvv :??:
moment generating function-г характеристик функц гэж хэлдэг байх нь ээ? Монгол хэлээр магадлалын сурах бичиг бий юу? Эсvvл чи лекцийнхээ дэвтрийг єгчих :razz:


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PostPosted: Jun.21.05 3:28 pm 
hehe unendee baruunii nomon deer ihevchlen hyazgaariin gol theoremiig generation function-ii tuslamjtai batalsan baidag manaihnii nomnuud deer charactristic function-g ashgilsan baidiim

generation function-g mongold bol uusgegch funkts gedeg
charactristic function-g haraktristik funkts gediim daa

unendee moment generation function-d huurmag too i=sqrt(-1)-g nemsneer charactristic function garnaa


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PostPosted: Nov.22.05 4:51 am 
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Өсөх Ирээдvйтэй Гишvvн
Өсөх Ирээдvйтэй Гишvvн
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G_B wrote:
stochastic process, stochastic calculusiiin talaar oilgolttoi hun baival end jaahan yum bicheech pls

Bichij baragdahgui ih yum bii. Ene forumyn huudas hurehgui. Yamar tuvshind stochastic processiig sonirhoj baigaagaas bas hamaarna. Heden gaigui surah bichig bii.
Entry level stochastic process gevel Karlin and Taylor, A first course in Stochastic Processes gej classic nom bii. Oros hel deer orchuulagdsan. Sidney Resnick-iin Adventures in Stochastic Processes gej hoorhon nom suuld garsan n' bii. Ene hoyoryn al' negiig uzsen baihad stochastic processiin tuhai bolomjiin oilgolttoi bolood avna.
Deeguur tuvshnii nomnuudaas gevel Bernt Oksendal-iin Stochastic Differentail Equation gej nom bii. Buur deed tuvshnii nom gevel Philip Protter-iin Stochastic Integration and Differential Equations gej mash sain nom bii. Edgeer n' bugd baruund hamgiin orgon hereglegddeg classic nomnuud. Sudlaachid golduu edgeer nomnoos ish tatsan baidag geed bodohoor her sain surah bichig gedeg n' shuud oilgomjtoi. Oros surah bichguudiig medeej orhij bolohgui. Shiryaev-iin Stochastic calculus, Skorokhod-iin Stochastic Differential Equations gej mash deeguur tuvshind bichigdsen nomnuud bii. Aimshigtai.


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PostPosted: Nov.22.05 4:54 am 
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Өсөх Ирээдvйтэй Гишvvн
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hahn wrote:
baidiishdee hoo. byambajaviin magadlaliin onol math stat gedeg nom bdiin
enhbatiin magadlaliin onol gej nomnuud bdiim da

Neg yum assuh gesen yum. Byambajaviin magadlaliin onol math stat heden ond hevlegdsen yum be? Olj avah arga baidag bolov uu? Enhbatyn nom ch yahav, haltuurny nom gedeg n' uztel ilerhii.


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PostPosted: Nov.22.05 7:23 pm 
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Даяар Дурсагдах Гишvvн
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delden00 wrote:
hahn wrote:
baidiishdee hoo. byambajaviin magadlaliin onol math stat gedeg nom bdiin
enhbatiin magadlaliin onol gej nomnuud bdiim da

Neg yum assuh gesen yum. Byambajaviin magadlaliin onol math stat heden ond hevlegdsen yum be? Olj avah arga baidag bolov uu? Enhbatyn nom ch yahav, haltuurny nom gedeg n' uztel ilerhii.

Bagshiin nom 98, 99 ond garsan yag sain sanahgui baina. Byambajav bagshiin nom ch mongoldoo baihgui magadlal-n surah bichig dee. R.Enkhbat,Bazarsad bagsh nariin nom ch anhan shatniihand l zoriulsan nom tiim bolhoor argagui l dee hehe.Tegeed ch edgeer bagsh nar yag magadlaliin humuus bish optimization-ii humuus shuu dee.
delden00-d pm yavuulsan shalgaarai


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PostPosted: Mar.10.08 4:47 pm 
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Даяар Дурсагдах Гишvvн
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Nadad heden bodlogo bodoj tuslaach uul ni hylbar yum shig bn toonoos tosoo bolohoor jaahan hetsuu bn aa
1. Tani malgaid 3 ulaan 7 tsenher bombolog zurah boljee.
-Ulaan bombologuudees buh tsenher bombologiig turuulj zurah magadlaliig olno uu?
- Tsenher bombologuudees buh ulaan bombologiig turuulj zurah magadlaliig olno uu?

2. Bold ba Bat 2 Ulaanbaatar hotiin oor oor duuregt ajil hiideg bol tov talbaid ajliin odriin 1 tsag yum uu
udees hoish yamar neg snamsargyi tsagt irne gebel neg ni nogoogooso 10 minutaar turuulj ireh magadlaliig ol


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PostPosted: Jul.15.08 5:42 pm 
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Neg ongots osoldohod oiriin hugatsaand dahiad uur ongots osoldoh magadlal ihesdeg gene ee? eniig saihan tailbarlaad uguh hun baina uu? ongotsnii osol exponential tarhalttai baidag gene ee. . sonin l yum. Neg ongotsnii osol bolohod daraagiih ni boloh magadlal shuud har uhaanaar bodohod l ulam bagasah yum shig sanagdavch, onoliin uudnees bol esregeeree baidag gej baihin.

Sonirholtoi ni bodit baidal deer ch iim zuil tohioldoj baisan baina. 1966 onii 2 saroon 4-nd Japanii Boing 727 ongots osoldoj 133 hun amia aldaj baij.
Tegtel 3 sariin 4nd ni Canada-n DC8 zagvariin ongots osoldoj 64 hun nas barj baij...
Harin ternii margaash ni buyu 3 sariin 5nd Angli-n Boing 707 ongots osoldoj 113 hun nas barj baijee.


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PostPosted: Jul.15.08 9:08 pm 
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Нутаг Нугын Шvтээн Гишvvн
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Жил бүр. Ардчилалын төлөө тууштай тэмцэгч хэн нэгэн санамсэргүй нислэг үйлдэх болгонд.. гэчих юм бол ширүүдчих юм болов уу?? хаха
Таамаглал юм биш үү??? Онгоц сүйрсэн тохиолдолд тухайн гарсан гэмтэл техник-с болсон гэж үзээд. Бусад ижил төрлийн онгоцнуудын гэмтэлтэй гэсэн ХАРАНХУЙ таамаг дэвшүүлж байгаа юм биш үү???


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PostPosted: Jul.15.08 9:14 pm 
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1993 онд Марз ууланд Улаанбаатар-Завхан-Баян-Өлгий чиглэлийн зорчигч тээврийн АН-24 онгоц
1995 онд Хөвсгөлийн Мөрөнгийн чиглэлд явсан зорчигч тээврийн Хятадын Ю-12 онгоц
2001 онд Увс аймгийн нутагт Олон улсын шинжээчид, УИХ-ын гишүүн асан Ш.Отгонбилэг, болон гадаадын сэтгүүлчдийн сууж явсан Ми-8нисдэг тэрэг
2007 онд ми-8

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PostPosted: Jul.16.08 9:44 am 
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GaM wrote:
Neg ongots osoldohod oiriin hugatsaand dahiad uur ongots osoldoh magadlal ihesdeg gene ee? eniig saihan tailbarlaad uguh hun baina uu? ongotsnii osol exponential tarhalttai baidag gene ee. . sonin l yum. Neg ongotsnii osol bolohod daraagiih ni boloh magadlal shuud har uhaanaar bodohod l ulam bagasah yum shig sanagdavch, onoliin uudnees bol esregeeree baidag gej baihin.

Sonirholtoi ni bodit baidal deer ch iim zuil tohioldoj baisan baina. 1966 onii 2 saroon 4-nd Japanii Boing 727 ongots osoldoj 133 hun amia aldaj baij.
Tegtel 3 sariin 4nd ni Canada-n DC8 zagvariin ongots osoldoj 64 hun nas barj baij...
Harin ternii margaash ni buyu 3 sariin 5nd Angli-n Boing 707 ongots osoldoj 113 hun nas barj baijee.


bodit biadal deer tiimerhuu bdag bolood onoloor tiim bga yum bish uu. iimerhuu yumiig bol onoloor shuud tiim gej gargaj irehgui, olon choloot parametertei neg yurunhii onol gargaj bgaad suuld ni parametruudiig ni praktiktai jishij taaruulna. har uhaanaar bodohod ulam bagasna gej ongotsond zoriud tesreh bombog avch yavbal terroristuud barag haldahgui yagaad gevel neg ongotsond 2 bombog zereg bh magadlal baga gedeg shig yum yariad bna uu esvel uur yum yarih gesen yum uu? har uhaanaar bodohod bol ongots osoldson shaltgaan ni busad ongotsond bas yag ter ued uilchildeg bol dahij sonoh magadlal ihesne biz dee. jishee ni neg company ongotsnii yamar neg ed angiig heden shirhgiig sogogtoi hiigeed medehgui zarsan bol edgeer ni oiroltsoo hugatsaand evderch ongotsnuudig sonohod noloolno. zarim companiud solih yostoi yumiig solihgui yavaad bdag ch tal bn.

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PostPosted: Jul.16.08 10:19 am 
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GaM wrote:
Yor ni avaar osol boloh magadlaliin tarhalt ni exponential baidagtai holbootoi yum shig bainalee. jishee gazar hudluh, auto zamiin osol boloh zereg ch gesen yalgaagui.


yur ni todorhoi hugatsaanii intervald osol boloh uzegdel (osluud ni hoorondoo hamaaralgui ued) Poisson tarhalttai, hoyor osliin hoorondoh hugatsaa ni buurah exponential tarhalttai bdag yum bna. harin ongotsnii osliin huvid exponential tarhalttai taarahgui bna gej end dugnesen bna:

http://dx.doi.org/10.1016/j.physa.2005.09.058

yagaad zorood bna ve geheer ongotsnii too bainga osch bgatai holboj tailbarlasan bh shig bna. baga hugatsaand exponential, ih hugatsaand zeregt tarhalttai, yurunhiiduu "Tsallis tarhalt" gegchtei tohirch bna gene.

ter avaar osliin ideal tarhaltiin huvid neg osol bolohod dahiad osol boloh magadlal ni osohgui. 2 osol hoorondoo yamar ch hamaaralgui gej uzne. ene zagvarar bol ter neg dor olon bolson osluud bol tsever tohioldliin shinjtei.

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PostPosted: Jul.16.08 1:24 pm 
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Aan har uhaanaar gedeg ni humuus yoronhiidoo yamar negen uil yavdaliig jigd tarhalttai gej bodoh geed baidagtai holbootoigoor helsiin. intuitively ch gehiimuu. jishee ni ene jil mash tom zud bolloo. oiriin heden jildee dahij iim yum bolohgui bizdee gej yarih humuus ch baidag. Teren shig alivaa hovor uzegdel bogino hugatsaand biye biyeneesee hamaaralguigeer dahin boloh magadlal baga gesen oilgolt humuusiin tolgoid(miniihed ch yalgaagui) baigaad baidag yum shig baigaan.


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PostPosted: Jul.16.08 2:13 pm 
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minii helsen onigootoi yag adilhan utgaar tegj bga yum bna. neg yum bolohod dahin boloh magadlal ni bagasch bval hoorondoo hamaaralgui bish bolchihno. jishee ni shoo hayahad 6 buulaa geed dahij hayahad 6 buuh magadlal ni bagasahgui biz dee. zarim uzegdliig anhnaas ni onoloor hamaaralgui gej haruulj boldog bol zarim uzegdliig turshiltiin ugugdluud deer analyz hiij bj tegj gargana. yurunhiiduu osol baigaliin gamshig met ni Poissonii tarhaltand (u.h. daraalj boloh 2 uzegdliin hoorondoh zai ni exponential tarhaltand) zahiragddag bolohoor daraalj boloh 2 uzegdel hoorondoo hamaaralgui bna gej gargaad bga yum shig bn.

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PostPosted: Jul.16.08 9:13 pm 
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21 gedeg kino uzej baisan chini neg iim bodlogo garj baina.

haalttai 3 haalga baina. negniih ard mashin baigaa. ta neg haalgiig ni songoh buguud herev ter haalganii ard ni mashin baival ta mashintai bolloo gesen ug. medeej ta mashin hojihiin tuld toglono.

haalganuudaa A, B, C geed nerlechihye.
asuult 1. Ta ali haalgiig songoh vee?
asuult 2. herev tanii songoson haalgiig neeheesee umnu uldsen 2 haalganii negiig ni sanamsarguigeer neechihlee gej bodoy. tegtel ter sanamsargui neegdsen haalganii tsaana mashin baisangui. Ene tohioldold ta anhnii songoltoo uurchluh uu?


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PostPosted: Jul.17.08 1:51 am 
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lgb wrote:
Nadad heden bodlogo bodoj tuslaach uul ni hylbar yum shig bn toonoos tosoo bolohoor jaahan hetsuu bn aa
1. Tani malgaid 3 ulaan 7 tsenher bombolog zurah boljee.
-Ulaan bombologuudees buh tsenher bombologiig turuulj zurah magadlaliig olno uu?
- Tsenher bombologuudees buh ulaan bombologiig turuulj zurah magadlaliig olno uu?

2. Bold ba Bat 2 Ulaanbaatar hotiin oor oor duuregt ajil hiideg bol tov talbaid ajliin odriin 1 tsag yum uu
udees hoish yamar neg snamsargyi tsagt irne gebel neg ni nogoogooso 10 minutaar turuulj ireh magadlaliig ol


zurah bish ee. "sugalah", "avah" geech.

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PostPosted: Jul.17.08 2:31 am 
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GaM wrote:
21 gedeg kino uzej baisan chini neg iim bodlogo garj baina.

haalttai 3 haalga baina. negniih ard mashin baigaa. ta neg haalgiig ni songoh buguud herev ter haalganii ard ni mashin baival ta mashintai bolloo gesen ug. medeej ta mashin hojihiin tuld toglono.

haalganuudaa A, B, C geed nerlechihye.
asuult 1. Ta ali haalgiig songoh vee?
asuult 2. herev tanii songoson haalgiig neeheesee umnu uldsen 2 haalganii negiig ni sanamsarguigeer neechihlee gej bodoy. tegtel ter sanamsargui neegdsen haalganii tsaana mashin baisangui. Ene tohioldold ta anhnii songoltoo uurchluh uu?


1. ali ni ch yalgaagui.
2. uurchlunu. ingesneer mashintai haalgiig anh taasan bsan bol mashin hojihgui, taagaagui bsan bol hojino.

Monty Hall problem, Three Prisoners Problem, Bertrand's box paradox

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PostPosted: Jul.17.08 9:37 am 
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kvant mehanikiin tootsoolloor gej durmiin daguu zalruulay.

chi end jishee n har l da: http://www.aqpida.org/ ----------- ; http://en.wikipedia.org/wiki/Quantum_probability

statistik holboos geheeree yah arggui magadll bishu.

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PostPosted: Jul.17.08 11:34 am 
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quantum computation ni ireeduid garah quantum computer deer hiih tootsoog helj bga. odoogoor 10 deer 10-iig nemdeg quantum computer ch bhgui bga. tegeheer cia quant computer ashigladag gej bga bol hudal.

quantum probability geheer math-iin neg salbar.

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PostPosted: Jul.18.08 7:50 am 
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Bagshee tegvel iim bh magadlaltai yu?

kvant magadlal deer anu-d yamar negen tom devshil gargaad tuuniig n ter dor n cia undesniihee ayulgui baidliin heregtseend nuutslaad ondor tuvshinii magadlaliin tootsoolluudiig hiihed ashiglah g.m.?!

Ter baitugai hyazgaargui hemjigdhuunii sudalgaag ch gesen uugeer hiij l bga biz de?


kvant magadll geed baigaa n kvant mehaniktai holbootoi yu, esvel kvant montecarlo biologi ch yumuu?

minii ogson 2 link ET-iin amiig bur moson taglasan yum shig bna 20 tsag tag duugui. 8)

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PostPosted: Jul.18.08 8:02 am 
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ene sedviig hii tsuurhaliin sedev bolgohguig hicheegtun. dahiad iim hiirhel bichvel ustgana.

kwant magadlal ni kwant mehaniktai holbootoi math-n salbar. chi demii hiirhej bhaar kvant monte-carlo biology gedgiig neg saihan tailbarlaad uguuch.

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PostPosted: Jul.18.08 8:04 am 
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uuchilaarai ooroo yumaa sain medehgui bainshtee!!! end: http://plato.stanford.edu/entries/qt-quantlog/#1

Bi hiirheegui ee anhnii tsomiin zevsegiin tootsoog ANU-d nuutslaad aldsan udaatai tegvel ingej uls torjuulj nuutslagdsan math ba fizikiin tootsoo baih magadlliig arai oilgohgui baina gejuu dee?!

Bi magadlal gej urgelj helj baigaag anhaarna uu sedev dotroo bga harin ooroo yavtsuuraad bna.

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Last edited by ttlc on Jul.18.08 8:18 am, edited 1 time in total.

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PostPosted: Jul.18.08 8:29 am 
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Хавар Цагийн Анхны Яргуй
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Joined: Jul.10.03 9:46 pm
Posts: 2856
Location: unidentified
T.G. wrote:
bodoltiig ni tailbarlahguigeer shuud ur dung ni helbel anh sonsohod jaahan ergelzeetei bj magadgui. gehdee bodolt ni bol oilgomjtoi bga biz dee.
harin tiin bodolt ni ch mash engiin, oilgomjtoi bainaldaa.
ene tohioldold ene bodolt ni uneheer unen baih bolomjtoi yu gedgiig simulation-g ni ch yumuu turshiltiihg ni yamar argaar yavuulah uu?


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PostPosted: Jul.18.08 11:33 am 
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Joined: Apr.13.02 8:20 pm
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Location: Henti aimgiin Galshar sumiin uyach Bazarwaaniin gert
yurunhiiduu random number generator hereg bolno. jiriin computer tsever random number gargaj chadahgui. tegeheer pseudo-random number geechiig ashigladag. ene ni undsendee umnuh toogoo yamar neg funkzeer huvirgaad tom toond huvaaj uldegdliig ni avaad yavdag. end parametruudiig ni sain tohiruulbal gaigui random gemeer toonuud gargadag. praktikt ene pseudo-random toonuudiig ashiglaad simulation hiiheer sain ur dun ogdog. (uunees bolood jishee ni tuhain bodlogiin huvid sanamsargui too ashigladag hurdan algortihm bdag bol sanamsargui too ashigladaggui dutahaargui hurdan algorithm bas bh yostoi gesen taamaglal garsan.) pseudo-random toonii orond baigaliin "jinhene" sanamsargui processoos sanamsargui toon tsuvaa yalgaj avaad ashiglah yavdal bas bdag. gehdee aihtar ontsgoi ajil hiih gej bga l bish bol ene ni praktik deer pseudo-random toonoos yalgaraad bh yum bhgui.

(pseudo-)random number generator ni 0-ees 1-iin hoorond jigd tarhalttai sanamsargui toonuud gargadag gej uzie. endees yaj 50:50-iin songolttoi sanamsargui hemjigdehuun gargah ve? garsan toog ni 0.5-aas ih bna uu baga bna uu jishih heregtei. ene metchilen jigd tarhaltnaas duriin tarhaltiig gargaj avch boldog.

gehdee ene bodlogon deer simulation hereggui l dee.

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