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1 С
01
һbetaĿǰڷн鹫˾ˣճǴͿѰҷԴͻ
鲻Ϊܿһˡ
ݵˣһ¥ߺá
򿪣ȵķ̤ĵһӰȴһ˲ˬˡ
ҪûʲôĻһǾͿǩͬˡ˵İæţƯϻźЦǴӵλûܱ˵ܺʣ˵Ա߻صСѧѧСѧҲر𷽱㡭ܱм۵ʮĿ˵Ǽ©ˡ
˭ϲÿ˵ĻȻ⻰ĿͻҲ
ҲȫСЩˡ
ⵥʵףǰǰʱ䣬⿴˲֪ٻն
ĻⱾҵıְŽҵʵķӣȷʵҲǴϲ¡
˾Ĵϲ£׷ܼһٶʮнһܵģȥʮĵάޣʮķԴʮԿ׻ʣҵİٷ֮ʮĵİٷ֮ʮټʣҵİٷ֮ʮһ飬ٿ۳ӵ·ѻиͻ׹ϵķǮõõǧ顣
Сžȴ˿ԣǴ档
иɵʱ仹̫㻹꣬⹤˵ż̫ߡ
ȽʺһƤҵbetaء

Ϊһbetaÿù֣ܶոʶ˶ݣоһλװBomegaǺܱǸӳʼһͨͨbetaԼĸ˭㲻ڸûԼܵϻ죬һҲʮüʮˡ
ڷز˾нȻ춼ͷܣҲûиϢգֻҪ棬ҹ˾ԣݹġ
öǩԼʱص㣬ŸոհεĿͻϳֻˡ
ιҡõĺõģû⣬ʱ䣬ҿԹġ
ⲻ
02
ǻҪڳӣͷļײ̫ıҳȥû
׵ľǮǮͨһӲܰһϾӣǮ˾ͲһˣͺС
ķľǮ˵нѡ
ԽķӾȻԽ࣬ͺСĿͻһʽṹһ˰ٶʮ߸ƽǰ԰þ£͸¶ɣ³ͣγƣһ¥뻧תһЬߵĿɹãͨ͸зʩȫͷһһıķнʮƽԼסԶö౶¥һһ׷ȫʵľҾߣñס¥鷿бĳɻҵⷿʤ䣬Ͱ߰˸
һƬƽ㣬ʹǶֵļ۸Ҳǧһܰɣǵнһʮ򣬼ʹָ©һ㣬еˡ
ǻɣǸκľССյСſڣһѾalpha͸Ͻӭȥк֮ǰappĹô͵Ǿõˡ
λһ˿ޡ
á
Ǽ򵥵һ֣ʾò
µʵôпᣬǿǻһġ
ɣλˣǳԼƣһʺϵķִ硣
ֲģܿ˽Ĺ
ǼȻ̸ˣҾȸ
һȷһոǩĲϣһ߷˷ոµƵͼƬ˼ȥҪô
ſڣδ
Աⶰֵסģüûعˣ뷨ĻҲϵҳȥˡ
ǾͶлˡüһЦһ˫Ŀ鶯߻ȥȰεٸȷһ£ûĻƳȥˡ
û⡣ӦͿһͨڵֵ
Ӵ˵ܲٲܲٵⲻĳֺ
ܳһ˦βͣǰʶһˡ
ƣ¶ʻߵİԽˡ
þò
alphaͳԣȴһǺ۾
ô˵һͻֵܰ
Ρ
ʲôͻȻжϣĪ˳alpha񿴹ȥ
ֻһֱЦӯӯķɫɷ׵Ĵͷ
զˣʶ
ƵĻҲ԰׵ЦЦӦ
ʶ
ԸǴӲʶ
03
ͣͻȻعҲֵ˵һ
ոջڼδֵˣ¸˵ʲô˲ˣ˾ˡ
뷲û㽲ͱԹһͨҲı黹ǵģֻ˵ҸһصĹ
ǴСʶˣֻбҵʱڹѧ뷲˹ѧ֮ûֳ꣬죬ʱ˶ʿҵص﹫˾Ӱֻ࣬з뷲ͷһʿҵڻ
Сӣ֮ǰ֪ôָ˦ˡ֪һСôƢô󡣡һ޿֣һ߶ҪҾͲȾˡˣǸ治ʶ
ߡ
ʲôѽ
ŪùƣҲ֪СǾɶǰһСﰡھϱһ
Ħűޣ۾Цһ
˵ʶͲʶɡ
۷ȥ
㿴㣬ôģǰɲӡ
ȴֻ˵
˶䡣
ааɣô䡣ֻҪҵֵܾСù͵·ֻ̣ϲˣСнôƯɣҪ˵ҲʲôˡҲ֪ʲôϢζomega
omegaһüſֹϻˮ飬˲ݽ˻ȥ

лˡ
˷·һĻһҪƵ˫۾ʪ㣬Ӣһ֪ģomegaȷʵȲЩbeta·ŪˣϵʽҸϴɾȻʵǹⲻȥ
ͱ˫۾ԴӴ޷˵ˤΪȥ

ǡ
ֱ˵ϰ׷˼ƻֵܸûģߺ߹ʲô衣
һۣ޵ĻͷһݳӯϣϧˮҲ֡
Ȱٶ˼
Ȱ
ΪһеŨⶼơ
ֺαصĸޡ
04
ţⵥܼ¿¥̲Ȳȵ㡣ͺ󣬾ʧǵ͸˲һȫֻ̱ܻججǰס
ҺΪⵥģûаűĿͻʱ仹ʱ
˸loftԢͨȦȻˮ̵磬ˣټƽﶼͷܣڵλԷ˯ٻţҲǿһֱȥˡ

ַ˷ţͿƲסصȥ
ﷴŽĳ
򿪺Ǹ¶İŲÿһ˲䶼Ӱһз
ǿЦԼȻ˵ʶ
Ҳ֪ͻ᲻ˡ
ԭӹ˰
ҲǣﻹиĸҵҲߣܵҪӰġ
˵ԭߵķС࣬ԭ˵ҪСʶû뵽档
ѾкܳһʱûalphaŬԼͶȡ룬ÿ춼æòֺ
ǲ᲻ǡ
͵һ̣ˮһĻûѹ
ľһײײϲңӳĵײ㱧һʵĴӡ
ѺӷŵСϣֳʪֽϸϸĲ˲Լ˫֣һһһڵ³
ӱ򿪣ͷǸΪµᡣ
ᱻóĲ¶Ũصĸ߼Уܼصļװ롣
촽
ͷ˺ӰЦҸ۾ͻȻΡ
ǱʹԼ۾ȴͽ޹ƲסֻһĹһĵ
ͷϥʶĦһѺ󾱡
⻬ɣû˱ǵĺۼ
ȥӵеһУȫӰ
һ˲Ѥһ˲ȥ
05
Сͱĸ˭֪ڸԺԼĸӦҲʲôˣΪͲǸƵˡ
ƭƭȶѰ飬бҵͷ飬ܵϴ졣
ûѧûһֱƴģ͵ķʽüα´סΪ߻Сδζ˳ȴڸġ
һûһٵͷ񣬻һ챻ץסǮҽŶֻ췸޿ˡһغ
ûҪbetaݽ̶÷ġ
ʮǰһֱôΪġ
ֱǸɵ㶵ǵĴԩ֡

ס֣
һűԴ׼˵ȭߵʱ򣬾˳ǰֹ
ײ˴ˡ
Ⱥ֮ǰСѧ㻨Ǯ˭벶ȸںֱһֱҸǮ
ֻϧǰЩˤһֻȣվǱǷ֣һ·ƽȺŹ
˫ȭѵ֣϶Ǵ򲻹ģֻܼϣڱ߼ųϾûǮ
˭룬þȻ˳ء
⼸ҲͨbetaôһзϻɣȴȫǸߴ׳alphaĶ֣ܿĶɢˡ
û°ɣǶˡ
оalpha߿¡Ǹbeta᲻ǳϢζŵºȵ㣬ƽ˺ŵζͬ
վȥҽԺɡ
ƣ΢΢̧һͷǰalphaģӢ׸ӻˣȴŶԷͨƲգۡ
лˡŻԼıӿͼԷı֪ģomegaȷʵȲЩbeta·ŪˣϵʽҸϴɾȻʵǹⲻȥ
ܵԷһ״ƵӵĴͷȴڿĵطϷŪЦ
ס˷
ء
06
˼Ҫһˮȴû뵽ֻס
alphaͽҽԺʱ渶ҽҩѣ뿪ˡ
ŶԷףվڼſ
ʲôûţֻһűУ԰
ͷĵǼ˧󷽣ŭա
Ѽӷˣʲ

Ǻģȥ˷ڵĸУ
ѧУĴŸɣվſڣһ˿Īζ
ܿ쳣֮Ժ󣬿ʼ취ӽԷ
ʮˣֻѧУܿͱ̽һЩϢ
ҾʵɼԽѺģϣӵalphaΪһ룬̫Ϊ֮ȡ
Լ˵嵱ΪʲôĵҪӽԷ޳ľǿо˺óһΣ֪Ŀʼ̫ˡ
ĳ棬Ӧ֣һײ˱ֳ
Ǹomega˵˶ȣalphaȴ治ɫǸЦݣֻ˵ڵĻɴ䡣
ǸܸлкøСalphaӢ϶ƶºͣҵȷϲ͡
ϲʲôģ
˲׷ʣҲ˶䡣
Ұô˵ﶼ۵Ĺ⣬Ƚϲһ㣬аģϽŬСһİɡ
ֻڽȴͻȻðһµͷ
ԵĻǲҲܳΪˡ
Ҫǳɹܷɻڴϴȥһˡ
ʱֻһʾ·ȫ벻жڲ
07
Ƕθ飬ǻһΡ
ʱ㱣һж޵Ļþ
ȷʵıһ
ı˷ϣСϧ
ͷС죬ǱСů
Ҹ׵ĺ磬Լӵеһжǽҡҡ׹Ļ֮ϣһֻˤ÷ǡ
Ǵ裬ԽңԽǴ̹׶ġ

εǸɵ§Լ̣꣬Ǿͽòá
ﶼۣܹԼһޱҸһ
Էӵһε˵Ը⡣
ǵ˻񣬸ĸǶף·Ҹı߬
Ӱѣż۾
ľĨһȥ۽ǲдʪ⡣
ֺܿʰԼŽĹҪƽ
ʮɡ̤ȥ
ɫް̫ʧȥټ
08
ͬѧϣܰƿӸ𣿡
СˣƤڴվ򳡱Եʡ
ⲻôãӶǱģһûмջ񣬿϶ûǼۼֿİš
㲻ϴǸalphaЦ϶ϲãҲ𣿺ɣּˡ
ǵġ۳ŶԷÿϷΣ۲ֱȴǷеĶӻĿڴͳһŵĶллϴΰңµģ㡣
ͽӹûڣߵСƿҲҪſտյĴˡ
ô
򿪣һ
һУ԰ĹĹңʮֳһƮƮȴ׹ĸһ

У԰
ʱʳӣʱУ԰ˮƿֽ䣬ʱڿվ򹤷ְ
ͺüкǸոһҡβ͸ɻСһըëŲ·ܵˡ
ò״סըëСڿϡϿʱ䣬Сֳڰλͷ
ĸרҵѧôÿһҾܣô˰
ûûССʪԣͷĿָ⣬ҲѧֻΣûĻ
ǸʱĶϧֱ˳ŵʲôģҽ㰡

컹ûΪ˶εalphaȴѾѵĿڴͷˡ
ǴЦѱס˹ʣòɫһѹ֡
;δع֮Ҳûסԭסѡ˱ӡ
տյȫûȴ⡣
Ҫ֪ôڵǶ£һС
µҲ벻ס
Ϊģô̶Ǽ⡣
09
ҿ˹ÿϰϰࡣǼ겻ҪĿ࿴ˡ绰ͷ˻ǸֶܣҲܱģĩ˸֣з뷲ҲҽϣǷˣһ͵ˣһ˻ˣӣԸomegaĲѹʮü˶û˸󡣡
Ҳ͡עͷļϣһûһĸķС˵Լëҽô¡
ˣͻûֵסĥӲݣмˡ

뷲Լ˿ȹ档
뷲ȻûҲûϣ׼ʱԼ
죬뷲ʹһĶ˶㣬Ǹʮһյɫ
Ǹ쵰˵ģ뷲һ仰ϸüšȥǲ׽û˻ʱ֪ȱˡ
Ͳ
ʵ˵ǷСõʵ
Ǽһ׶԰͹飬Ҫʲôǵľ֡
˵ǸʱͻǿʺദСǷ뷲ʱǹƧѸСһˡ
бҵ뷲һͬ˹˶ʿҵʱ䶼ûܸ˾ľ۹Ρʹڹ⼸꣬Ȼ뷲һңǽҲ࣬ڼ棬͸¶
Ҫ˵˭츸ĸֵܡ
˵㲻ֻһˡҲûԭģֻǿڶѷϽΪ˸֣Ǽһ۾ۣ㲻Ըȥ
ʲôԸȥģ뷲۾Ц뿴Ǹɵ׷Сн飬Ǻηʥء
н飿ͺɫʲôн顣
ǸС¡뷲ζѾ˻꣬Եתˡ
10
С磬ʲôʱ°ѽԷ
Լͷʼˡ
ȻΪòĹϵ׷ˣҾǸѲҲûоܾ
ǣεȴһ
Ĺתơ
ǣĺѣϣԼڶԷǰӡ̫⡣
οalphaʵ̫ģᵽ͡ʵǿƲסԼҪ֪ԷģӲĳǧ֮ˡ
ʵûֻԷһ㼦ëƤС£رҸ
ԷͲˡ׽ĸ綼ҺˣֻܿͿһǹ¹鹫£˽ҲûʲôҪʲô̫Ľ𣿡
Ǿ͸ôԼٲֱԲȷʵǿÿҪ׷㣬Ҳû׼ӴӴ治֪ϲʡ
Ҹĵȷȷǲʡѻ˵úЩһֱ˭׷ûٽˣǲ壬οʵǸbeta
УҲѡȫţɴ˻ͷ˵£ĩʱ䣬׷봦һ£㿴ûʱһˡ
ݼڶ͵ҲһֻӦȴû룬ѿ
11
СҸһСţС
һȥ;ô²ȻǽŹµԼ˽¾ۻᡣ
ε˵ͷʺãϽִͳƬλãȫҵķн۵ģðСˡ
ѽʱͲ̸ˣƬĸ첲ʾߣȻˣ벻żһԸֲҲͦá
ǣӡ
̫Ѵȫ·Ļᡣ
ٿٿ

֯ⳡۻͰԼСԺ
μӵҲȫǸӵܣкܶͬѧѣԿĺԵˡ
ȥ֮æкˣûԱߣ˿
һֱϲƱյĳϣԭǼȥѣˣȥˡʱۣԸҲûǿȵġ

̣һȥ
һ֮;ϲһһ̵߶Ҳֻ֪꣬Ķġ
һôôˣЩֵܸҿ÷ˣʹ󷢴ȱһȥˣòã
alphaȺĻӵŪ˶̵ģalphaŨϢζڷΪһbetaԼԼᵽӵζ
ҲҪȥ
첲ŶԷԹǡ
Ϲ

ͱ˼Ƴͷԣ֮֮ҲȫǿȥȦӡҲûȥһȦӵ⻥ʶҪǵȥˣټ棬εýֺץء
ҸޣͿӢĮalpha˽
λȴһλСɵomega
üθԼӦ
Թ˻ˣο˻Ļء
12
л뷲лû۾ʲô
˵͵ù뷲һԼ۾ԼСڸˤɼ飬۾ְ˰ûһϾ쭣ֻܰ·Լ۵ǽеĳţ鷳۾ֻܼףֲϱֲͣȻѾظˣƻᡣ
û¡
ӦһֵĿ˿ոǽ䣬ʲôһֻûע⿴塣


Ѷװ״һĿͱ뷲קŵı϶һ£ֿ뷲Ц
үȻǴӲŹܰѽ
뷲ȫԷӣСһˡ
ٸӭֱ˵ߣ
뷲òûжƯʺܺã΢һװƽһһСӽ˼ңʵۣҲһֱѧУţʮͷҲѧڿˣҲ׺Ҳû˸档
ĶܹܹܰϽͷ룬ͷҲϴ·Ҳˣ̫ĳˣ
ҿɲ뷲ƳһۣŻмŭСأ׷
뷲Сɰˡ
꣬СС㣬һû˵أ
һֱʵܲ˵ѷ뷲ְݵȥ
ˣһϰ˵㿪žȥ֤ɡ
ɰˣͷۡ
13
Żӵ¶̨Ƕȥˡ
Ҳ˵ԼΪʲôҪӡ
һ͸ų֣ͿƲס˫ţܵñӶ졣
ӶˣӦڷֱ·˵ĵһʱ·ֲԥԥư
˵ϣԼҸɼһ档
Ǽʲôء
յòУŶԷomegaŸ첲Яֻء
̲סͷԼ̰ᡣ֪ó׵ˣôΪԷűomegaء
ûá

С磬ôһţ
ҲˣһȦŷվ̨߷Ưǳ࣬ɰʹ߳ˡ
˾Ӧÿģôܹɥء
ҹңдܡ
ǵģԼ̫æͣҲԼû״Ǿۻˡ鲻żĻ֮ĿʱԼ̸Ҳһġ
ˣż߰仰Ǵ󣬡Ͽϯˣѷ˵ɣܲһ˻Ŷ߰ҳʲôˡչһ¿ˣȥгӿ
ץ˸׳һ͸ľһԭˡ
ٽ˰ɣ֮ǰģӦʶˡ
ߴĮalphaһ
ǰ
ɲʶ
14
ƨˣֻԡ
һμ滹ǴǰʱֵòɿʱĻǸȫһ߲סȫܲˣԼϹä˳һ棬˾ûУһɢϡá
죬ȴ˼ȥ֪ôƺʣû׽ǳƣֻܱŤŤĳƺһ䣬þòЩ껹𣿡
˵ȶ⣬⻰˵ʵΣҪԼӲȥ
Ҳһ£㶹ЦһԵøӽӲˡ
ĸ
졣
15
ŵˣ֮Ȼһʱ޻ˡ
нˣ˵ҲƵģվԱߣͷǼ⣬ʲô˵ڡ
ֻСĴԷȥ͵ģû̫ı䣬ֻЦüûһ
󷴵ûɫʹ˳Ĭ
нĹ
ۿˣĴ˴ֿ֣ŵԥԥĻش
ǵġ
Ϊʲô˵ݼô߳Ͳü
˱ԼŪڹ֮еalphaӦֺһʤΪʲôװ⸱һƭ
;Լ˽ҵϵĿͷ˵
ͦõģ⹤ѡҲǸӵĺѡ񡣡
ԼѿҪ˵ֻöԲ˼ҡ
ҡǵġ
ֻǹϸԽĹˣԿƵѧ֧ҵҲڹûа˼ġ
˵ڣֻܲĵͷ
ֻñԼ˵ˣĵȰο
ѡˣٸ׷˶⿴ͷͷҲ죬£Ҳȶȣ㻹ˮͱˡ
еĺʡ
һͷԽȥͷεʲôԸչճ˵ҪδķչɵҪʲôԺ󡣷˶߻ϴԣȵˣһ˼ǲ顣
Ҹֻǵĺϵ
ŶòӦ׷ʣǾǻû֣ҪҸ㽲ϲʲôȽϺһ󡣡
ۿһӾͱˮ˷
Բ𡣡ǱĴͷĵǸڲȴҪԷ˵Բ𣬡ҺܱǸġ
ƿĿ⣬նԶ졣
üͷ԰ա
ôҲһ㲻ˬ졣
betaôôҰ
Ӱ۰ɡ
ÿ޵Լɣʲô¡
һû˵ذɣô
ˡ


2 Сý
16
ҽԷȥ뷲̨̤;չֵֹġ͸ǸҪ׷нСһվһͷսӲøסһ
λ԰ɣ뷲ǰȥΪˣ̲ס۾Ŵˡ
̫ΪʲôͻȻƳ˶еţĨ˰Ѹոյʧ̬סʶͣ̿־ţ˺ܾùϣܱȥ˱
ϧûסһomega͸¶һɾ
ǾȥԷɡ
ҵ᲻ǰѴһռˡô궼ȥˣĶ֪ԼȻܲƭ˾޿䣬εġ
뷲ȴ⣬ߵǰ罻ˡ
ҽз뷲ǷС
÷ֻӲͷƤԱţܹʶ
Һܺ棬㾿Ķأ뷲ֱԲ䵽ͷƤ飬Ϊʲôalphaϲأ
ˡ
ûС뷲Լ˵Ļף̫գգҲֻ۾ɬɴ೶͵ץ׳첻˵ĺʱ򣬵´ΰɡȥ
뷲תƲڵ۾÷ץϹˡ
Ϳԭأɫֲ԰̲סȫ״ķ뷲
ǷˣϹӾͱ
Ǽһòֹסˣɱֿ
ô뷲ȻҶˣ㣡
Ҳ֨ŴŷȦ˵
ôһǵü˰
õõãĻ˰ɡ

17
벻ˣòְܸɣҲһûסôһɥ
;Ͳ˵ˣԴع֮ɫû뷲үҲˣ֮ǰ֮ûԼɫ
ôҲһС˿һֱŶЦеģˡСһҰװ׵ģ֪Ǿ۲֪ͣĻΪǿа˼ҸôƵġ
Բ˰ԲˡкţϺ޽ڵģʵúܡ
õĺõģԼСϻ̳Ͽֵ΢΢Ƿͷ֡
ʵʹúʣ˼УҲҵѡ
ޣ治ģϲһȥԡ
ԥԥ˿ӣûӵϺ⣬ͱ˽˺
һӰѴϺŷ뷲ȥˡ
ϲϺԡ
ʲôʱ򡭡뷲ƾͿڵϽӦã֪ϲԴϺĳЩˣɫѲǸ
뷲Եɣϡɫȫû취ֻתͷǸԵġ
úúá
һͷŲ豭һڡ
͵͵һͣϧԷûԹԳԷ
ôѽġ
ѾˣôܻչԼء
ģϲİ
18
ٷϲεǳԵòճˡ
ĬĬĽʹڸУֻ͵͵͡
ĺˣʱⲢûг嵭˼ӻں޺
ʹʶʼһֱֱꡣ
ܵˣȴֿޱǱ
ĶԴԴǵĹϵǵĹϵһʼԼ͵ġ
Ͳϲֹۻˣһomega
ձǣԷĻᶼûС

¶ԭǳ򵥣ϱûֽס
һֱͨһЩ;omegaϢأضʱαװԼomegaݣֶֻҪں󲱾ϣģomegaϢص״̬alpha
ʱǺܶbetaΪԼĪЩʹõģرײĳЩ̫гȺ壬ǳϲֶӿȺ
ֶˮգԽǶԽǺԼݱ¶
ǽҪһһ죬Уͼذ
콻׵ʱ򣬱ץ˸š
ĵŶԷݵ̣ΪζҵȼԻĸԷţԷӵֶθԼҵһųڷƱһûһӦ
Ȼǧ֡

ˣľ롣
ڱ֣ǹˡ
19
С磬ɡ
һӽлӹԨﱻѣȴûɶ٣ɳأص
ˣ̫ˡһһĴȴûܿ͵Ӱ
һʧͺһ̤ͻزͷһ
Ƕ಻˼㿴ҽһˣôϲεģҪǲͣҶⲻȥ
˵úҲ˼ӲԷ
ǡðɡ
ӼſڵСſڣһ·һֱֳĬͲסӿˡ
ʵ׷Ӹ涼̻ռʲôĶԣ԰ɡ
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Ȼ
ûһˡЦЦͷһͷ㿴ҲϴСôˣҲû֮ǰ뷲ǸomegaЦң˵Ϊϻ̫࣬һֱġ
ҲûʵĶɡ˺ʵˣ˲ϲĵطҲϲġ
Լû˵仰ʱɫжᣬһӵй˲¶

ǸСͰͻȻ˵ͷΨһ̸ģʱ˵ã˵ԣһЦšʱ˵ȷϵ죬˼˵
ԺҪжĻ

͸磬ԺҪжĻ
ŶŶ󡣡ô˵ȴò˴רƾƮˣ
ˣͻһ빦ƿεС˹ͨԿרĿԣõ˱ҵ֤飬ͽյĻר̳ף
֮ǰҼĽڣСķ˼ȥ㲻ڵͨԤϰ˸סǽһ𿪿һͷִСȥ˴ûȥ԰
ǰֻڹϼɽֱӰſˡǸˣһ˸߲ҵקȥ鶼ûɣڳĽëϣӨ˪˿˿ġ
ͷˣŵײײߡ
ϵ˶ԣֻͨһգžŵӣֵϾѾûмˡ
Ѿʮˣˣ̫죬ƯҲÿ˵˽ǹϲң㲻ס
У˵㡣ЦſﶼݣԺҶҪô
Ҫ
ۣһ㲻Եĺ죬ȴϵ֣ǣס͵ġ
ҪȶԷϸһȦָڶһأȴǹִĸ˼ʮָۣܲɷ֡
Ҫǣһֱһֱֿ
һ㶣ЦӦһһ·ǣûٷֿ

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ֻһͨͨbetaʱܿ⣬Ķϲ̨棬ʵǴˡ
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С硭
ԲԲıǸŵױȣȫҵŵԵǶûҪ˷ʱϡн˸ľ˻߱н鶼ǿԵģҿתӡ
ˣأ˼СųҲͦãģҲ˵
Ҳû˵ʲôҵˣǸҪ·
ƿײһalpha
վ֮ǰĹսǴӸ£Ķʡ
ײΪʲô־ܾʲôܻӭ𣿡
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ĺšһֱ
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ڲƭˣϴ𣿡
ûˡԽԽᣬһ־޵ˣֻ޴ŶԷ͸硣
ڣǹ˰
20
ûᣬȴ·ʢһȪ
Ϳζӳ¡
ÿһÿһΣÿһΪ޷˻һУ˼ҳԵġ
Թ޻ڵס뷽跨㵽ѧѧƽʱ丨Σ©ȱѧϰԡˮŵСС·ؼңϴëѶԷСһš
һƬģʲôͼԼס˵ϲССͷգҪԶһ
˼ȥӦΪ˶Ϊ飬ǲԼ̫ռ˱ˡ
ء
ԼԼԣϲδԺڸĸǰһһ˵Էĺûϵÿ˶ϲС
Ȼء
׶ǰɺߵˣŽŸЩĵ˴򽻵һЩ߰ĵҩƷ̻ŽŸƦåȤ
ԭǷƱԩͷɵ档
ˣѹŭСؼң׼ڸ̾
Ժ׼ٸЩӽû
ȴɫʼһޱİڡ
ˣܹˡƿµû˼ɣˡ

ĶԴıݺݵķҧһڣȴֻֿĽˡ
ͿŶԷ۾˵ڵȴǺĳĻղͬˡ
ǰҸģԼҪ˵ġ
ϵǮ˲ٵģֹҸɵӡ޶ëҲӦþʹһֻ޶԰ɡ޵Сˣָ֣ΪԷĨᣬŹвУ㡣
21
С磬µҵô£֮ǰ̸ĵôû
ǸվǸ֮ǰǸͻû̸£Ѿֽ˼ⷿĿͻܰſˡ
аɣúùģҪ֪
֪֪ллġϴűǸЦݣ˵һúùġ

ĬĬ̾˿ϴ֮ϸúõǸȻ֮ǰĵתӵתӣתӵľ⳥ǳƲϵ
ȻʶɺϣҲʵڲϣΪһƵľˡ

ߵ죬㲻ԶֻԹԼ
˭һʼĲŴӸһʡԽ˵Խ࣬بмĲһһɳǽߣȴ޷
һʼûװʲôomegaͺˡ
װomegaͲΪϢغڷѾ˼ڣͲȥϵЩǣͲᱻЩ߳϶ϣһҪϳһ⡣
ĵƦåһˣͲΪͣʹŢѳ˺ӡ
ˣöĺ۾
ࡣϡءǸbetaյĻ˵betaҪǱǸ֪ˣԺôˡ
ôѾǲԼǵڶٴƵĻˣǰߵĶʱըʱöԷ𣬵ֻ򾲣װں˭Ǯ͹˭¡ҪˣǾһߵһµķƱ¡
ȫΪ̰ƣ
ûֻ˰
22
ãӭȫҡȫȫΪҡ
ȫҷнι˾ӭһλ֮͡
ָҪλķΪҷ񡣡
˵Ŀɫ䵭̬ȴǳ
ӵ쵼֪ͨæӲ̵·ϸϹ
Ų֪ǵĶţ²˳
ɵӲͷƤ˹˾ǸΣޱomegaȴһסˡ
롭
ѵȡ뷲˷۾üһһһûãҲͰˣ©׾ȻҲֲ͸¶ġһ飬ܰˡ
Σʵкι𣿡
Ҫ򷿰
ɿˡ

ֱӱ롤үˡ
ʲôأ
ڷ뷲·ɫš
ӵ鲻뷲ȴƽȫԼ˵ĻжྪףʦģңҪôalphaϲalphaĸԸҺá
ʲôסÿֶöΪʲôƫƫ޷⣬˼Ҳ̫⡣
˵һ侲omega˵ϲҲգԥԥһˣôź˿ű˰
һʹΪ뷲˵
ְܲĺܰġ
23
ְܲĺܰġ
һʱĳ
ĳˣվһᱻomegaΪ͵İ£ֻܼβͻߡ
ʱ꣬Ļֻһ
ǰͷĴĦ˹֮ڵҲ㷲ˡ
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ԨѧʶԽļҾõĽ
鹹omegaΪomega
ŷ뷲ı飬΢΢ЦûбҪҵңҸûһɵģԸκϲһ𡣡
ǡ
뷲⣬뱻ˡ
ϲҪеİʵзһҲӦзŵİ
һ㶡
ȷʵҲСЦĳϢ˸ĳԼõʪ⣬һ˵ϲƫöмѭģʶô꣬ٶϢ԰Լװϲӡ
ϲãҰװ뷲֪Ķͳһӿʼ˱ʼǣţ˵ʦ
üˡ˶Էıҡͷװģɹأһ𲢲´󼪣װǼٵģõİҲǿ¥󡭡ӿ־壬Խǣÿ춼ʹ尾
뷲üΪʲôһͦ
ĵ˭ֵ𣿡
ҷֲ塣
24
ȷʵԽǰԽǺ£ףͰľǰǸڵˡ
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ʵ֮䲢ûлء
ôõˣްݡʹ֪Ǹ쵰Ҳġ
ǣϵĽ𲭱ͨͨ¶ͷŢ۵壬ôվڸɸɾء
սľ飬ոһкľͶİ⣬İĺõŻѪۡ
쵶ն飬ֱӰͶаɺޣ޵úң裬һӶҧгݣ޷ǡ
Ƕˣװ͸͸ӳһѪ
û˰ٺġ
25
͵İ칫ǳһλ֮͡
˵뷲Ǹôְˣ
칫ȥͷƵͷִͷƵͷͼֱͷ۵ҪͬˣΪʲôֻԼҪ
û¿ɸ𣿡޿̷ļšüͷʣǰ²ǻ˵Ҫˣ˲Ͻߣ
Ҫ֪ڹվ˽Ÿʹųغгİ칫ַźˣ¾㱸ֻ󶫷ȥ
ҵȷ뷲Ǹڰٷһȥ£һ˹ȥģ˻ܶ顣
뷲ʿҵ֮˳УְҲܺٵʽԱһý¹˾뷲ѧУͬһĿ뷲Լһס
ûа취뷲һʵͷʳû˿ſ԰ԼѪסԺΪСɲöտտ
Ӧǿӣزģ϶Ҫ໥Ӧˣ
ô룬˿ɲô롣
;ֱʵ
뷲˹ϵóΪʲôǲǸɴһˣһδȢһδޣã
ڵûлػӲ϶˿ŵĺΣɬˡ
ɱ䣡ǲ֪СжѸ㣬һǾ͸źһĿ⣬ʲô鶼㲻ףֱֱִٲġֲǲ֪ϲʲôģȻһֱæû̸һβϲ˵ģ
㲻Ϊʲôæü㶼æź˭˰
˵ţܻ
㲻ҪˣǸomega¶ëҿɲҪѰԡ
Ҳûٽ
Լֽƽʯĳ˻ɳ̲ϼ͸Լʱ۾Ĭ뵽
֪Էë
ϾʹäĿ
26
С磬
ͬµĴȤֻ
ϴȻѾܾ˷뷲һΣǷ벩ӣĿоŵ˰ʦѧȥż٣УŴʱȥš
Ҳ򲻵ãҲãֻ֮֮ˡ
Ȼһţ뷲ӭ
ʦ
뷲Ǹ̿Ĵ磬ԴϿ˸ñӣ˲̫ܿʵԱ
һ䵭ӣȣй⡣
ˡЦд࣬޿κΣҵûʲôý̸ġ
뷲ǲ°ͣ˵ûϵ۲ġ
ͺܺѧ

ʵˡ
뷲ƨһҲ˵ĬĬ˵˰ɣÿʲôμѼ⣬뷲һȳѸײڶ֮ȸǮֲ˼
뷲һ·ƤſڣomegaͣԼʵ¼վԭضһޱһָټһַסԼĶӸò
ʦҾˣټ
̲סڵ
ˣ˷߰ɡ
⸻ôһ
ͦɰġ
27
뷲ţСţסĵطһٶƽƽ㣬ǵһμԾСloftǿĶϡ档
طȻԽһ䰡ط̫С˰ڲԡװƽʱԡ𣿡뷲ԡڳֺĿɳ¥ϵҡ
¥ֻûñ䣬·Ķ
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е˳еһӶţ
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ûʲô飬СʱǼӶչˣһֱչˣֻѧϰѧԵһϲͨҲӲϲҲΪϣԼܹѧϰһϲ˻ôġ
뷲ͳԼıʼǱ˷
1.ԼḶ́
2.ԼX
3.˻кX
4.Ҫ΢ЦX
27.ȡֵҲòԴ˽ԷX
뷲̧ͷв˵ǳĺ˱ʼǱ
̫ණҪѧˣѡ

28
ΪпˣרŶһ
һһ㹻˳ԵöƤԲˣ뷲һԣ磬ԵӶĹʡ
үʵ̫ӣס֪òټӵˡ
Ļȥһ
鷳ˡ뷲ֵĲ˲죬ķԼոĵ뷹ɫҳԵòˣʦôѧİ
һ㶣ֻЦΪ˵alphaѧֶء

ǰʧԼһٱһ٣ͲǻˣȥĹֻҪһڷܻӣĳԵùӪӪ
ԩͷ˼һǮԼѧҵҪĽڰԼסȥѧϰ
ʮ㹻ƯϿ͵Ĳ֮ͽƫƫֻalphaŹϡ棬ֻΪ֣Լơ
Ҫмӣ־Ľѳˡ
ưˤһأһƬǽĳηηţ֪ôźãȴ¿θϻһקס˺ߡ
̣û°ɣżæŵİȥĿŷģû˾С
ŶԷĹУһ
ԭǱȹưҪѽ֪
29
ۺĽΣδɹԼӵйõĸ顣
һԺô򵥣һˣΪ滮õδһжŽȥ
ᣬԸ˵Ǹֱˡ
ȻһСϣǵʱ̫ãԿרҲɣгʱ
ʱͱԵʮ̣һеͨͨʧЧֻʵʵʦĻ©ȱˡ
ѧϰ±ͺװģʹһҪװԵҲƹ
͸磬ĲˣҲЩҾûãǸ
ÿԵͻôһһĹĵſˣ
ЦģalphaҲֻʱйֶʰ飬ѧϰ
ԼڶԴİԶԼҲԴ꣬ȴ濼ǵ˺ܾ֮δȥ
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ͷңͷͶӰǸʻӰ۾
ʧܵİ˳ĺµĶӨ׵ǡ


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˾壬͵Ļ̣·޷Խĳǽ໥
ԭҲӦ޽ԺΪԷǸˡ
׽ָٴ۵Ļᡣʹԭ·𲢲Ϻ¡
뷲åӶˡ
Ϊ˹۲һһÿ춨ʱ㿪źƫƧ꣬ʮеİ˿ûвƲ¶ʶܿ챻˶ҵ̽ķ㣬ԼȴȻʹɫʱҪ˶Ҳ죬סȥ·֮еˡ

һֲԾ
°ûõķ뷲ڶݵ˿пԷŬڼͣϵطγʱò
Ļ쾭жɣ̫ЩɢԱˡ
µķ뷲ӵĵطͺǱŽԪ޽ֵһΣء
ΣɢĲҳʱ˶塣
뷲һڿʱ򿴿ģǰ׼ԼȤݴӡڿʱʱ䡣
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뷲һϧĸ壬¡
˾һ߿ʼ𸽽Сһ߲ͨĵһ롣
绰ܿͨԷһġ
ŬԼƽڵ
뷲Ҳˣô찡
ôˣһʱҪģҲֻһ
31
ҵ뷲ʱڹԹ־ܡ
ĸbetaΧвֵǮĶ
ѾֱǮڱвŸתˡ
ʵ㣡Ϊ׵Ļذ׵ŷ뷲ĺֻĻʲôСϸƤɾô
ӦֻҪǸ˶Ŷ
뷲ĬĬ̧ۿһвˣĬĬȥ
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뷲ûͱһȶһСӣô궼ûػûƷ
ϴǸomegaɴֵܡ

˵Ļû˵꣬СආͱһİשƷˡ
ĴŹڡ
˽ˣƫƫǸ֮󣬿ʼӢˡ
Ҫ
32
ְѴܵԵbetaֵĸ׼ĻҲԵó
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ʵ״ֹۣƷƤѾƣɻһ׷ͷͷơӲǲʵģֻܼϣ֮ǰĵ绰ЧܸڶԷ˸ǰӳ졣
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˵ĸֹܣվһ
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̫ԼжˣҪСýȥü㱻һƷܲûϡ
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һ飬ΪԼܵﻹᱻסᣬߺ͵
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alphaɫӲ·һӲ˪ȸո׼åҪˡ
뷲һ¶˵·ַͿֱӿȥˡ
뷲ִţֿ͵β͵Ĵȡ
ɳѲӢۣǸϽȥɡ

ҵ˵ʱƣʵûֵܵùֵĻͷӡ
ԷŬҪĸ첲Ҫͷߡֵ̹
ʱʾalphaĲ֮ͬˡ
ƽʱµζϢͻȻҵ˵Уǵصϯɲ֮Ťһbetaһ̱ڵء
alphaϢعʹȺ̱ĵزԽǿalphaԽʹϢؽйȺжԭʼһĹΪͱɷֹطʱȴòΪ
ܳĸҡ
ͷ̱ڵͱһŲȵֱ
ǱǸߴͦεalphaһ߱Ϊ͸֧Եһ߶ŵϵ˵̫á
ײȵ
34
Ժŵζ
˹ȥʱ⣬ϵ˿ڶ۵ôˡ
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Ҳ֪Ǵ˽˲뷲ʵʵش𣬡ģΪͷϢأҲЩһ𱻴ߵˡ
кһӱˣ˵ҽҽԺ𣿡
԰뷲ûʲôֻǳʶô껹ǵһοǸӣҪһˡ
Ϻޱ飬ȴ
ֲǰСѵ֮û飬ÿ飬˻ῴ뷲侲²ۣ۶ȻalphaǵȶģϢѹ˭ܵ
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ǿ϶ǰ뷲ȫΪʲôᣬˣôҲϲοһĶֻǰΪʲôö˶˵Ҫȥһ

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˵ˣҴ˷ʿһߵǸһǿаˣӲǰѷ뷲ˣ˲С˹һ߰ɡ
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ϾԺҲĹ룬׷Ϲ׷ϹǹԴǺġ
׿ĵݹ˵ܹͨнתӪ˾ۣҲһ̨ףȻҲҪúöԴ
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