С
ߣ
:365С˵(Www.365book.net)ռ,Ԥѧϰʹ,Ȩԭߺͳ,ϲ,ֶ֧Ĺ.



ζ--

дƪ֮ǰַɵձһ˵ŮӵУձΪ̨ӣǳΪ⡱ĴѪƴɹ̨塣ڻ̨ǰɻǰһںҵϣͻȻһŮʹ޵ΪˣֱڵСѸ˵裬иڿҮŻعͷȥ绰Ǳ߿ȥͬʱּе˶ڿǸŮҿŮ޵÷ǳģҲЩĪѣȻѪƴèŮīϣͼȥճ˸

ҺǸŮǸĻôҼǵֻҵıǫǫҵİȮʧ죬һŽ̤ڽѰңڱѰ֮ʣŶʮڽϴ޵ļ¼Ҳİɣ֪ŮʲôۣҵĲ²⵱Ȼ벻顣

Ȼͺֱӵ뵽ζ⼸֡Ҳ˱˰ѰãЩĺҲζ޵ƪ⡣һԷֻϲͷ۾ֻͣϵθģžֻЩǳϲɣȻϲҲάֶáðʲôԣǿõ

ҳ˼˵ֵԭľ֡ʺԷֿ۵ʵ˵ǳʹɡʲôʺϣҴΪʺϿԵɷֵɣ鱾ǴϲʼѿȻ˰˲ŻһĲ𣿰ΨһɣԷˣǷֵɰɣûȫһ԰Ϊ˶Էȥı͵ģΪ˶ԷıԼԲŻ˴ʺϡѾûȥΪ˶Էı䣬ѾˣȻͲʺԣʺϡ־Ƿֵɡ

麣︡ÿ˾һȻ׵ؾͰѰ˵ȹһ־ðѾڣ˵˰ݰݡʲôأЩ˺ǰѱ˵İƷһӵڵʳƷ׵ؾͰѱ˵İ˻Ǹ氮ˣǱ˵Ʒһͺ޹˵İôһ˾һΣյ£ðոʱֻù˻µġ

һ𿴿ô֪ʲʺϣҳ˼ô˵Ǿ˵ðաű˵ʱҲҲˣۡðղãԣİǿ˻

ϣÿ֮ǰҪ׵Ū˵ĸ飬Ҫ޹ĳΪ˵ƷζޣЩǹ鰮ɣڻڲǸŮô޳еİ

һ

ˣˣŮԼ

ޣ׼û

ȻˣëæӰó

ãһһ󺰡ã

ù۵ĳ빤Աһ˵һߴӳƬ˾߳ͻȻļһе㷳Ļعͷ˼еŮһۡ

Ʒأ̿εŮѧԱЦ˵

ĵ׷塣òм˵

һԼżѳõķӦһ£ڼżС

ðͷҮë˷ܵؽš

ú˧

ߣڻпգǸϿȥҪǩƼ˵

úãǸϿȥ

Ůѧ˹ȥֽ˷ܵص˳õƬ

ãɲ԰ǩ

²ֻͣùһƬǩ͵ݻظǡ

ɲٶǩŰеʧһķֵƽأ

ûգ˵˾ߡ

ãȵȣëæҵĴӰͳһ¼¼ģ͸㣡

ϴ󲻸˵ùһ¡ͷʲô

ëе㲻˼˵Լдĸ裬͸㡣

дĸ裿Ҳ㳪İɣʵڲ⿴ʮ궼СŮдʲô衣

ǡǵġشżʻë޽ŵе㷢

ڳ

ë޾е졣

Ůѧţְĸ߲ܹõżʶٺòˡ

ëżڴ۹£ܿơ

ߡ졭Ľ֡ҡ𡭡ȥꡭ

ͣЦüֱæֹǻ߰ĳȥһԵĹԱЦøǷ

ŮѧһãȻ֪ǵΪʲôЦ㣿

죡ǽЦˣЦᶼˣֱ¼ظǡƾɤӵҲ¼¼ңԼûȥɣ

ûͬԱŮѧ棬һ·Цȥ

ŮѧʰһضżĻ𡭡

ޣ㻹𣿡Ƽ޵䡣

ë޴ؿǸżıӰݺݵؽ¼·һӡ

ⱲҲ¼ˣ



٣죬㣬䣡ϲһӭסĺ

ΪƬ˾ĳԱϲľ͸֡潡һרһȦϢҲ׼ٵģټȦѾˣȦӵ̬û˱˽ˣ

һ͸ľǹ侹̨壬ϲæӭǰȥŹߴӾһӵ

ʲôʱ̨İþûˡ

ϲӵùеԲͷȣʹѾһĺͷϵķ֣źˮһֻԼմ߳˺һ

·ɻλΡ򵥵˵̧һ˳ʦر޼ķ͡

˧Ķ˧òˣҲѹϲöˡ

һ˧Ŷϲ̲ס޵ձչòӰʲôҲһţ˵ʲ̨һҲᲥ

ֻðˣĽ˵ʣѾеᷳˡġ

ǣãдһ׸ܲŶ

ʲôĸ裿λָģǼһĸ軹ǲغò˿յԻ̨壬һ·ɻȻֱ¼Ѱˡ

ձǱߵĹ˾мƻҪڽװһרһ׷ձˣӣĸ費ɣ԰رһ԰λ

رĸˣҲ֪ĸһҵڻͷ¼أ͵͵㣬̲̫˳㶮˰ɣ

ϲȻһ˵컨׹˵ǰͷŸԣҲǹ䪡ND03F֮Բ̫ԭ֮һ

ҵһٽȥˡ

ĻƢǲãһȥɨ̨βɲá䪡ND03Fǵϻظ¼רĲҿΪһϴĿϹһڵĺȦҲûǼһùˡ

ֱۻӶһ£ȫ̲סЩۣǰԶһ棬ֱԲһձϸϻ̨һͷһֱ֧һ᲻

̨¼ר¼¼ƣطǰר¼ңλԼһСʱ̵нҲΪشƫƧΪ˸ϵ໨һЩʱ䣬ֻҪһᵽȫȴ̨ر͡

ڵ߽ϢֻҪɳͷϢһ¾ͺˡȦˣҲʮ־ˣ˲ӳףԽӰеԼЦһЦ϶ԼЩᣬĸ˲

ţΨŵ˲ߵóԼ·

ЦݺܿľʧˣתϢһרɵɳϾȻѾռȵˣ

ſڣһĿɳ˯߲㾹е

ΪʲôСһһռôλӣ

ȫţճһλõĿλ˯ģռȥôλӣһǡԭ˯λá

ֳųҪȥɳδҲ̫ǿ˰ɣ

һáʱСĴ磬Ҳ֪ʲôּǰͷĹԱ㵱С֮СϢǸϢ֪ԱӦԼϢҲ֪ŰԱǶ࣬ǵһҹ¼òݵ֣⡭

ǡҲռȥרɳ

ڴæȻһ˶͵

δ̫˰ɣձ¼ĹԱǾ͵ģ̨ԱҲ̫ɢˡ

ԺеƣУǰȥֱ׳ҡҡı

һû

С㣿С㣿

Ȼɽ

еˣӥһУɱС

ˣе

ɳϵŮ

б֤Ч¼û˸Ҷ԰ŲԾϼ֡ʧһͷıըҷɢͷ˷ӡ

ֱͦӣӸµĿæҵİͷϵҷȥ֪һץȻͷˣССһ

ԭǼٷ

һűɫķýİͷ|Q|shu|ang|ˡ

۾Ǳŵģʵ˵ţϢϢһ¡



Сôɳվһ˲ҹάĿ´磬ɫĶȹɫ˿࣬⿴°ûȤټϿˡӴž׵ĹԱȦӲټ˵Уȴûÿһôá

СùԹԵһʱģ۾ȻǱš

ȥˣҲܱƭ

ķӦҡͷ̾ϢֵλãʵķźԼֽţӼ˯Ĺ۶һվʹ˯ȥ

ˡһ˯ȥǰһһۣһµڵذϵġáȻб¾˯ڵϣаǿɳϵģʹ˯ѿ˯òʡ¡

ˣ˯ǰɣ

ڿ˯ˡ

Julia׺ʱ

˯˶ʱѣ

㾹Ȼ˯ʲôʱ㻹˯ŭڵվǰ۱ŭĵǸá

Ե˯ܹ⣬

ȥ¼裡ӥץСƵһǸСõ죬׵Ľֱ¼ȥ

¹һãȻԼʮŻָ

Ҳֻа˳ƹʾǵĹй֮Ƶķ¼Ҳװ±ģ԰ҲӦõİɣﵹһҲ⡣

¼裿

ղź˵Ҫ¼ʲôƵģɽɳȴŸ裬ǸСá

Ҫ¼ʲô谡Ȼ

СòҲǸ֮һɣôпأ

һ޺һҲ˯ˣͳ¼ȥ



ˮһˮǿӲһЩˮ·ϡ

ֻԺ£˼˼ĺһڣͰѱԱһڣ۾ǰա

㡢ҡѡĿ췢ˡ

ѾҲӵҮΪ

СȻվŭĿĵǰŻķǿȨģΪһ亹

ֻʨӶӽһӣӱ߳˻Ѿ¼ˣ

ߣñȥ

ֲֳʮ룬Ϻͣ

Уʲôȥקú֣

һԹۿĹ䣬ԽԽȤ

ıߵ⣿ϵʵ˵ĸ費á

ùģ׸ǰģŸһʼͽ̴ұߴİֲڲμݳᡣףغߵ

߳һ࣬ᡣ

ҪҪԸȳԹЧǲ𣿡ԱߵƤ˵

ֻǲѣСøͬʱڡ

˻ĬһҶ˼š

СȳȽƣ˵

ԲС٣ϷԡûֲǸŮֳĴ衣

仹е嶯ǰ׸ȷһһ顣

νķʲôģ

šСͷԵһ¡˺֡

֪۹¼תһȦͣڹϣȻ׸Ҫ˺ζ

ң˺ˣʵڲ̹

뵽ˣĺʼ񡭡СõһΡ

䲻òĹ߳ĵ

еͬǣǽ¼ң֣Ѽһͷе˶Ͻͷ

࣬ȫƺͬĻһͷͿʼһĽ

ڳ߸ͬȻҲ˹䣬ƽ¼ʱһͷˮǺϵĸ˹ԹԵس

̫ˣСǻһСʱ¼ʮĺֱֳ൱͡

Īƽ¼ĹֻֿʼͶ˱ҵУֲϰߵıԸðͷ

ƤǸС˭̲סûæߵ̽

JuliaƤָָŶָĽӰˡ

Ҷǲ죬Ƿúܡ

ĽӰˣɣСã䲻ɵ㶡

ǵ̳͵ĲŮϻطдסѡаھһżֵ󣬽ƽʵɸ֮֡״ҡڵһԳʱͶ׸谮ˣ˷˼ǰ㿴ľԵŮӣдóǰԪӣʵԷ治С

ͲٳˣֻżЩǡôѡǸСõӰˣ

Сã۹ƤЦJuliaôһǸпܵð

ҲǸ𣿡ɲƤĿЦ

ֻĻ󡣡Ƥ˵š

ɣ롣ո߸ʱ򣬲ûʲôװ׼ģҲļѡ

˵ܰأǲܰôǶ¼裬Ҳ֪Ϊʲôϻشһȥ裬ҲǴͷβһ׶

ǵǸˡֵСá

ǣ𣿡ƤһòΪӡ㿴ǸӣһһͷҲ֣Juliaֵĺܣͷһμʱ㱻

ͷһν¼ʱģƤ̴档

ϵҧûJuliaǸСãֻǳ׺ĸϻǧǵ֪ñܿ˯ʱǡ

˯ɣ

һֱû°ղɹİɳƭ֣

̫ˣͷæͣסСõۣȥһ

ͷæ̴˽Ϣصµӳ

ȴֲʧӺƮ˳һ׺ܼĸ˵ĸоʹûиʣһлôܺϣÿһ඼νӵúǡеֻʣ¼ᵯһң飬ֱȻֹ

е˶ͣסӵıж

Ҫӣ

򷶽ʵΪʲôȱһƺɸ䳪ϲŻῪʼġ

ܰԲԣʱûҵʺݳˣԡ

Ȱ꣬Ը¡ҿ𣿡

㣿еס˼һ¡

Ҫ׸裡ܼҲǴ绰˵Ҫӷڵ绰һģһ

Ҳ

㲻ûɣרƶֽķȻ˵㲻пܰ

ĸ趼ԣΨײСɫ

Ϊʲôʵ⡣

˵Ҫ󡣡

䳯ƿȥɣ

Сã׸ߣ

ǸСã

СãķӦƤһȿЦһ󡣡ԣJulia

ڶ

վСææ⣬´ŵ˽ʮſڡ

һֲ֪Լ˵Щʲô

𣿡Сˡ

ʼ磬ֱֱҲ

дòһ׼û

һ𣬴˸տʼ̸

ιСôʱ﷭һ£ҵͷֻ

Ҫ˰Ұ˰ˡʲôûȥ

ۡСýƺ̫ɾסЦǰСá

ᣬӦòʮȻдó˵ĸ裬ʵò

߲⼸ݼҮ˵СׯԴడ𽥳ŭ⡣Ǽһ˵ȥġʲôֻȥˣҪҵһƤ

ŭİֻλϣ۾˸Žǡ

Julia

Сô˼в͵̧ͷ㵽Ҫ˵ʲô

Ůƺ֪վǰǵӰ̳̳ܻӭľǹ䣬ùе㲻áҪ˵Һϲĸ衣

Ѿ˵˰СΪ˱ʾ˵ֱ׳˵

СãǾͲҪڹĨˣҪ׸衣Եֱ˵

Ŷ˵СʱĹâ˵ơƣ

ʲôڸͬѼ

׸ĸСõͷ

ȡóָȫơ⼸|Q|shu|ang|һ𡣡ĸʸơйأ

Сûش𡣡㳪˺

˺治֪ÿ޻ǸЦȻ˭֪

ҳר˵ʱճͷһԱССٱСָ꣬оʵЩ

רСÿʼרĵؿôϷģ

ҲĹϷ

ߣܿҪϳ˰ɣٷȫл˵ĵطʮʮµŮԣû˲ϵӰ̳ǣſڶŮͷӡˡ

֪ӰܵˣûһܰѸ質ãֿԷˡ

ĻһѾ޸Ƶġ

ҵһܺáʾ˵Сøǹۿ˵

Ŷ֪ˣCDǲиʲôƬԲμӴʵǸ˵˿ϵЦ⡣

һֻû俴ƺѾı鿪ʼ

ǣû뵽СϵЦһ䣬˲мӡǻúҲӦõģǹİ齱رõĵһġ

ЩûĻѪ

ϻǸҲǳƬ˾ģΪǻЩԵû뵽˵˲ǽŰƵģҲƬ˾Ǹ˼һĳƬ˲ҪƤʹۼѼһ

ҵĸû

ԲҲżֳִ赸ĸҮȻǼѿЦ⡣

㡭ĺǷᣡͷһܵ裬ĸûӹκ赸

Сͷһᣬб͵ҵĴ£Ϊ˯ʡ¶֪𣿹

Сôͷβ֪䣬Ȼˣˡ

Ŷޣż񲻺ֿڰɣСòλϿʼ

ˣΪ׸裬ˡ˵Ҫͬܳ׸衣

źߣͷû˵

𣿡

治Լ̬ȣڸ̳ĵλҪ裿Ƭ˾Ȼͻ˳ʺĸȫרѡҪΪͰͱдŲôԳأ

ֻǲɣЩĸ質飬ԼѾƬˣûдֻ׸ϲˣϲϵĶϲϵŮһԻὫ֮ΪС

㳪ʲô裿Ӹץϵʱһ󷭽

Сõ˵𣿹䲻Ҫˡһרġ

ɾСõڱš

ԣˡɾ׸裬Сˡ

Ӧó˺ģǺǡڴӰҵҪĶһ̡

һüֳ̲ã

ҲǸ֡Եĵϡ

ǸʣԳȥȿҸ롣һͷմſյֽŵݸ

治ɫؽӹҪĵñ𣿡

ǰɡСʼ硣ô룡

硣õˣʹлᡣ

һǲŹκλģʱѾϾŵˡֻ̨ͣ͵ϸϻձʱʣࡣ

OKͷȥʼ˵̸

¹ɫıӰ



ƵͨߵĸСʱأ̨Ⱥһš˵ǸСôû֣

ƤǸСأһԱæסɫҴҵƤʡ

Сã˵Julia£⻹ϰ࣬Ҳ֪Ϊʲôû£ϰ߾ͺˡƤ͹Ⱥæһֵ¼ҲûʱǶ˵

ʲôƬ˾Աʵ͵øϻձˣǽ˷һʱСþȻǸӣ

䣬ǸˣƤһԺޱĹ¶ǸһЦ

Ѿ˵ˣֻεʼ硣

ôˣʱ˽󻹸һˡ

ͷ̧ˣͷһαһСССøŸӣѾһ鶼ˡ

Juliaûһ硣Ƥ򵥵Ľ͡

JuliaûһϤŮ

棬԰Ҳ֪ģַɻû˵ˣѾˣûˡƤ˵š

ܻϰɣŮ˵

һֱֻŹ䣬Щõضһ£еŭѾˡ

ԵĳƬ˾ĲͣɴۣһԾ˵ˡ

䡭ǡ棬汾Ү

棡̧ͷվǰŮǷ棡

С㡣վ

ˣ泯º͵ЦЦþòˣıֺܲŶ

šŷ汾ȻģһᵽԼСøŸӵ£޷ת

JuliaŸӣͬʡ

ڳһЩЩƵı顣˵

ʲôأ

óűݺĸʽҪһȥƨͨĸʣȻ롣

˵⣬ֱԼǸͷβĴ׳գһط꼱ææϴ裬ڴϴúõĿǷݸʵģû뵽

С÷ֶҲܵ

ơĭĿȣе˺˻ӡ

Ǽ߰ľӣȻӵĴʣš

ʲô

ѾҺշˣ뷴ձİĸʣİҲˣû뵽ȻյĸͷСӰҲû

Juliaа治Цֻ̽ѣӦ֪ҪһףĸԾ

ʸˣඣԽԽζˡ

ݸһۼȯ㡣

ˣҲûãѾԲˡƵ˵

ǵַJulia﹤ҵҲʹͷҳ֧绰ӵġ

ɣСþȻ



̫ˣ

վڲ⿴ʮӣһ㶼Լ۾

涼ƭ

Сøûͷ

˭˭ˣò٣̨徹ȻŮˣת

ýֺͷҲ֪СܶһŹͷɫ﹤Ȼɵɵˣ

ԼԸоͷѾˣðɴžΰɣϵСøһģһСóΪĽӰˣȻܳ

һѾʮ˾ȻŮˣˣôʵ

䣬Ѿĸͨˣߵ㡮ĩҹͨ棬ϰ彻һȥȸϹȥòãİİ

ڸϹȥҲ϶ᳬߵ㣬иϵܱûϳúãһ͵øϻձµϹˣһ˻̨ҪһͨҲûϣС׼ᱻϰ

Ļͨ氡СҪǱҴһͷߣ

桭Ĳȥ𣿡СһΡ

㵽Ҫʼΰһֱ¼Сˣһ磬мֻʳ֪ζİ¼ҵѵݸı㵱ûٳԹκζˣȻһƲˣǶӻ̲סĹչǵóԣŲԼȥΪǸСöԼ

ҪȥԶˣһɣ

˵ʲôҲŲһ߽ǹ˾ıɲһʧֻæŹͷȥ

˳ӿܹѾīѼñӵʱ䣬ⲻ˱ۼǸϳ

Ү

찡䳤ú˧Ŷ

治ҵ۾

ľʼûϹĴⶼΧ۵˳

ϰ˵עĿѾں˵ɶ԰ĺˡ

ҪЩʲôأŮæҵĵĶҴҵĸڵλã׼ˡ

һܻһţ׶һݣҪཷ򵥵ص

ҪҪ֣Ǽ᣿

ûûϣѾһӵˣû˵

ֱ쾭£ѵҪ𣿡

û뵽ССŮôӦڶİһڿˮ˳

㡭ŭҲطйˣһعеĽڡǾ

ûоŮ˵

ϰɣѾŤ

аŮ϶ش



ѾˣҺæһõ㶫㵽ҪҪĶŮõ˵

ƺе񡭡̧ͷŮһۡ

Сã

ǰźɫƷͷСñŮǸֲŵСþͬһˡ

˺ֳİҪҪ㶫СҪˡ

ҽ¼ҵһ֪֪

ֲǹӣûӵų𣿡Сֲ࣬һ׼ģ

㲻ͨ绰¼ȥ֪һɵɵصȣҲ

æһ춼ûʱ绰Сòõĺȥ

㡭

JuliaͲͣԶԶĹ̨󺰡

յСûغ𳳼ܵļƣæҪ̨ȥ

һȣɲôˡ

С˫۴ŭ𡣡

㵽ʲôʱпҪ̸׸£

ҲõȵȣæҪ

ȣ

Сõͷʮһɣ



䣬Ҫٵȥ𣿡

Ѿ۵۶ˣһֱʱѾʮ롣

컹Ҫϻձûġ̲סȰ

Ѿȵˣûڲߡ

˫ۺеĵŵͷſڲϽҵŮҪɱ˵ĻСÿѱҵˣ

ˣ

ŮݺݵؽֱߵıһţȥǴۣĵֵͷ

ѾڼΰˣʮһȣۿԱ˰СʱһԱˣͿʼˡ

˿һСʱȻû꣡

СһܻһŵӣҲ̲סˣܵõȵûǸʱȫڵͷ

ʲô

ӪҵСôܵؿһۣƵػص

һѾͽֱߵĶ˹ΪʲôûõأĻʾͻ

ҴСûйҿҰָǶúܺðûǸҲûʲôС૵ĵ

һۣʸûеǰպǶ̵ģڼɵİ£һĿ͸ˡ

ôô򵥵˶㲻ãΪʲôҪĥԼ

ҰģҵȻܾôֲܰСеί˵

ǰѪҪëҶǰͻȻ򳵻ţҲñȽ꣺ĸǰһҪһҪȥһʱ¿޻ͷͿԼһ㾭ӪҲûУʹӦ꣬ʹΪһǲǧӪҵԽ

ȻѾӦĸһðҵúõؾӪȥһԭ

ͬһۣԭСÿſɲװ»пԭģ

Ĵÿࡣ̲ס˵װ㶼ϲ

õͷǸСñԭСûͷһͷĳûױΪ㣬ֻ˫üȴʼһ

Ҫ򰡣ʲô취뵽Сþᡣ

ﻹʱڻʮԱΪ˵鷳Ĳֻ֣ͣõ͹ˡ

̶̵£ͻȻһƬҡ

ʮԱܵһ벻˵Ա޷ʮͷŹŹֵСѾͷǷʩҲ׷ǣΪ˱һϰֻйԹԵشƷˣֻԱ˿һ¶ŵòš

ڵԱߵߣǵĴǣֻʣĸ˿ų棬ÿæð˵֮˵ĻᶼûС

뵽СͻȻһС



ֱħԣ

æס䡣ôˣ

ˣСôһ˴绰ȥǱˣ

ſѲ֪ĸûĵһ˺ˣʣһƺճڲϣֵĸ˿ţȥĳԵ

ԭΪǵ°ûĽԼֻĳɹ

ˡǧԭϹ츶˳Ǯ㶼ǵ𣿡֪Сû

ҵô绰һæҪȻæġ

ιι٣ͼָǡ

ˣˣСãȻĿһ۾Ȼʼ

򾲵㣡ˡ

ڹŭһ£Сòƽءˡ

ôˣ

ʣĸԱһҲˣʲôᣬֻڵͲ͵ˣﻹͷȥŲˡСɫȻ˵

ûôѰɣȱ֣ͷЩԵĵƩòͼʱ˶ʱֹͣͣеڵ֣ڵò͵ķ񣬵ȵھӪϹٿʼͣͿԽʡһЩ˷ˡ

򵥵Сһһ㶵ġ

ŶԡСͻȻ˳ݵĹâ

Уȥһ̨ʵĻȽѧһôʹҪȻһ̨Ҳá

õģõģʹ绰СƵƵͷ

ΪǼ徭ӪĿʱûϸ¼ֶˣ

Ӧһ°ɣСñ仯˵ֳ㯡

ϸµӪҵǶ٣

ʮɣǶʮ򣿡

һ꣬⿴òʱҲˣпһֻһʮӪҵСõĽǮеûޡ

ҲС̲סе

׼һӣٰÿӪҵÿ츶̵ǮҲüҪȻû׬ǮͲãʱҪôԱнˮ

ŶѾˣˡ͵øнˮˣ

㲻˵ͷûǮɣ

Ҳ֪ҵһ㡣

ۿСþʧ̨ܵ롭ǽ붼˳ϣװҳƱľƳ룬ֱԼ۾

ѵеǮ

԰СæҵƱһͺҵ

ôûǮȥأҲûʲôȫǲţͽһײˣ㶼ԽϴһգУûǮڵҲ±ԱǼԵ

俴һвҪҵĻδ

Ҳ֪ҰǰǮﰡСñ߻ش㡣

ԺҲܰǮڵÿ춼ҪǮȥȻٵͷÿӪҵȥȽϱգ㶮𣿡

ȻְǳϷЩľӪʽǶһЩ

ءСͻȻʡ

ôˣǮ𣿡

о࡭

ĸԱһ˷ɵнǶ٣

Ҳ֪ˣĵģ֪ÿԱÿнˮ

㡢ֱ֪Ҫˡ

ֻ֪ԱһЩԱԹʱнģԱ磬㣬Ҳ֪һǮСɥﰧԹ˵š

ЩԱ˽ǶڵнǷ⣬ȻٴҪнΪ׻ҿҲٲǣӵнס˲νǧ̫࣬ҪȿһµڵӪ״Ūͷÿµ֧пӯĻٿĵнռ䡣ԱԼô򿨵һ㣬һСʱӦúװһµнˮŶԡ䪡ҪΪԼľӪͷԸеԺˡ

úãⷽã

УëëӸԱˣϾǸϰ壬ܵеϲŹܵסԱ⸶У˵Ҫм˿Ļ²֣

ұëСùԹԵصͷ̲ס˵һ䡣һĽµ䣬ǿӦˡ

ţС

˫ֻǰһģͣͽ飬ֱСͶء

ã˵ĶԣЩȥ죡

ֽʼŰɣˣСõԺԣܼǵסĻʺС

ŶȵŶϼ˵һ㡭

ӵ˵һѺܻĸһ򵥵ľӪģʽİþѾеϾˣںֲܶ궼Ǿ߱˸ɾĿռ䣬ڲõĽһЩӯĻԿȴӵޣ㿴ǲ϶ǹκۣЩҲѾϾˣľӪ̫䣬ܹһӦģ

ԶԶԣҲҰǰ˵ġ

ţɼ㸸ĸͦģúúðѵ꾭Ӫȥ

һᣬôȥģСĵ˵

С俴һǽָʱӣƳһ˯һԵе㲻ζС̸׸£ȴ˹꾭ӪѧСðˣһѾӪķ¶û쵽һҪ¡

ʲô£űϸļ¼С̧ͷһ#*WռСѧרεɵģ

׸赽ûдҪҰ



Ž쵽԰Ϊ㵽ȫй䣡մŦԼɻձϯ֪ĶӰչΪԼںƬҴҸϻعڣΪµ׼

ȻҵķϷ棬ݳƬ˾Աʾ伫ΪҪȫһǰѾʼΪεר׼εר¼̨Եĸʾ޹磬Բϰ

ͷת˴īһصĹ䱾ˣͬڻͣΪǰӻüˣˮйͨҾźȿֺһ档

źɫ£Ϊг̫æµù۵޷¶˵ЦݣҾϲһմձŮɱ֪ҹձĹԢȻûùжĵ֤ƬȴѾ㷺ۣɱ֪Ӹ⵽ձӰԶΪʾձܻӭֱ»ݹ˾ʾһоѨ磬֮Ͳٶ˵

Աſ˳ͳڣڽ복ǰתǰӻĸӰһӢʽڳӰһµļУ˵˴ʱҲ

ͳ뿪Ȼǰǰ䲢ûнκýķʣөĻϿֵ̨Ĺ䱾ˣſöԹ˼ѾõĹһ˼֮࣡ţӵȺ˼ֱ



һҪɱǸСã

һϳժīĿ¶׹ݺݵ

ϵ˶

Сóг̱磬г̰ģһȵӰȥļգù֮ٵ˾ᣬԺúϢһ£ѡ׶Ρ

ھҪȥȡСѹûĻĵķŭѳһС

ǡ

ҪڰСʱ֮ڿϸҸϹȥڣ

ðɣӿƣǰڹѾǽȫĳǣֻƵĻ¡¡磬绰ӰӰȡС㣬绰ع˾ر˾Ǹıг̣鷳㵽·MOREꡣ

СõΣˣ֪ȫĹһֱǫƹ̬ܰѹǳǴ־

ֻСõǩ׸Լʱע˸շ˾ҪıһССıģǶһӺϳ֣ǸͶǸʲô㲻ֵˡ

շҪСõɼķֹ˾ȥۣСȴһ£еϰ죬Сȴ̨

ΪרĽУƬ˾صش˵ڼΪõʦǣ˷ʱӰ˹ԭ׷еרȣһܻ÷ԭҪķݵӰĻᣬӰѾеˡ

ӻٵǰʻţȴһѽ׷ļߺ͸ӰԽںֻεǰ꣬ɷװת꣬ǻ˽һСʱʱŸϵſڡ

ǸСһȵĳڣŹ̨Աͷʡ

СãΪԱظ˶ԷҪҵ˵š

Ǹϰ

Julia

˵

սʱûп𣿡

ʲôסˣոֻƳмͷˢѡ

Juliaڷװװ꣬ҿһɱӡҡҡͷ߳ȥߵǸļһĲΪŵõҽװһ㣡ĵĽ顣

ҡֱҪƿˣǿסеӿȣһлȥ



磬ĲҮ

ųۿʮߵĸ߿գһһڵվں޻ļªϣˢרĵĻ滭ž޷ŮҲҪе˰亹

һŮӻ°̲סּһ䡣

Ǹ׳գѹſڻ޹ʾۼһˣе˶ؼģϰ׹¥¼ڵȳ

Сãϸҹ

þʮĵ﷢׺

Сڿлһ£ƺת¿¾ͷˡ

ĻԵĲȣ岻ȥڵµǼеļУľ

ҲͰȿ񱼵£֪Сõڿлһ£С׳ˢմˢӾôĹȥ

ֱ޷Լ˵ùǽиҵġ

Сõļùһʱ޷ﱻٵ飬̧ͷһϾͱǰľȥǡ

Сõֽץסһҡҡ׹Ĺڿϣһֻֻͣסӣһ紵ôλεĹڰС

찡绰绰ӣо

һҲͷⱲӻû׹¥ʬ壬ҲôؿСͷѪ

ҡСڿдţβȫ紵ˡ

˵ʲôغ

˵Сһץһ߽еΪڸ߿գ

ĿС

Сһֻʲˣشȫ

ûˣҪˤȥˣ

ʲôһеȻĿСô

һ

Ȼһţ

ʹŶСŰС

ʹҰɣѹµĹš

ޣСæ˺㰡㻹ðɣ

áɫʹűС׹ʱһеĶͷ

磬û°ɣʧӭǰȥ˰

ˡѾҮСǸؿǺĲλ

ˣôհֱҪˡҪô˾찡



ЧŶ̩ģ֮ǰһκƵúòңնˣĨͺҮ

Ķ¥ڵأСýϼУҩҩһĨڵҩҪĨȥ

޷޵رͷȥһҲҪһմźҩж

ĺЧ԰СûںСƵġ

Ҫ

Ҫˣø㿴ŶСö޶ã˷ܵĴӿĹóһļ˵Үտʼģÿսʶٺ٣ͦģ֪ͷ޸ˣֻҪҿö͹㿴

ĽӹֻĿ߰㣬ͷźʸʻɰ׽ıʼ֪˼Ρ

һнˮˣҲȥпһͷڵͷҲѾٶʮԱ͵ķֿʼˣȻѾԼȥһڵһкöļƻҪʵأ㿴ȫаʼŶķһдֵıӣݸ

ӯҮǴεڲŶ̶£ѾŶҴ㿪ʼЩӯؿʼҵİװ꣬ûпһڿϵͼ

ûı߿ʲ˵

ûϵֱвݸ壬ҿǻһСʱ໭ŶܲɣС÷һմֽͷԼԿóһܿɰŮģ

л滭ֵ˵ʵڣǲ󡣡ܿרҵɣû²ҪԸϹ˾Сͷǻ

ûжǮҴҪһǮѵȫ̭ɻ£ʹˣĻҾ͵ٵһ²а취ЩΣ˵ҾԼ뵽СֿЦˡ

俴˷ܵͻȻе㻳üͷһʱСίóСЦͦɰ

ΪʲôûнˮĿͷȻûм¼֧н

ҵİСûĵĻش

Сã׬Ǯģ׬ǮдǮðɣͲ˵Ů׹𣿡

СͻȻ˼Ŷ׬Ǯأ

ڵӪֻǴƽ𣿡

Ϊ֮ǰҰĺʱͣҵһ£ȻһʼͰǮȫȥ˴һûӪҲû룬ĿʼӦ£ȻġСúһѡˣ컹ýĴҪɵѣ

һ춯صľУȻֻСҴ

ÿһ⸱

£Ѿʼеͷʹˡ

ôǷͷʹħ

ŶСһ¹Թһд˿ֻš˰ЩǮˣˡһɲᱻϵ硭ͲˡҸô죿

дǮأûа취ó

һ쵽ǮͰǮȥµĲ;ˣĲѾеһҶƷ·ɰİɣJuliaָָϵţе㡣

٣һɰǿɰڵûǮԽˮѡ

߰ɣҲ֪ءСϰԵְüͷ

Ƚʮ򡣡ǲϲüͷҲľǮĳŵ

ʮҪҰСþȵؿֲʲôҲøǮɣҪһô죿

ϻ˵ҪҪ

ҪҪЦôܲҪ

ǾʹӦһ



Сٵغİ

һ㶼ɴ࣡

øһȥ

һȥϣСһüͻȻеԡǲðɣСŮӼƶҲ¡

ƽӰǻ鳡ʥܻŰɣû뵽׶䪣ô˵е˶ٶе㻨ģȻС׻䶼ɣĵǸ˱˧ڹⶼ˸ϣȴôϲϷ

뵽ȥˣ˭ʲô£ֱҪ˼裬һҲҵõԸŮĻò˵ġСáʲôа

ôһ˵JuliaΪԼոյ뷨ее㶪ԭǿԼĵ׷Щ΢ʧֻ֮࣬ѵʵǵҪȥģ

׸ûɣ

䲻ҪԼеɣԭһӦʹСһ٣Ȼ¼ȥѸһޣԺͿ԰Ŀֵٵȥ¼ȻһƬͷ

ǻȥһոµףٱСõײɶͷȫˣȻ󻹰һµʲᣬԶԷؽʮ̨ҹӦ

˳Ƿˡ

Ҳ֪Сʾõĸһֵܵģ˺ϸ磬ҵ࣬Ҹ꣬˵Ҳûǩ֤ʲôļģ֮ǰûа취ϵɼȥֱ߻пûŪãҰһ鴦һԹԵ㴦ãô

ߣס

ƳЦһۡ

Ҿáһֻ˳Ӻͷ˹ȥס죬һӥץСļ˵Ѿȵòͷˣ㲻ùܣҵȻȥ빤ͿϹǮһȰ㸶ڵҲˣϡ̾͸һ¼ȥҪȻСҵĵ꣡



ҵв˲Ӣۺú

Ѿڼô˵ˡ

㡭Сͷһۡ㲻˺㻹

ллķšзȵĻص

ˣСô϶Ƥʼ

崶ʱıСñԺʼС

Juliaշ˼˵ҪӸϳ֡

Уϳ̫ǵ׸ķп˺ŵ缪ڽͷ𣿡СõļôһѪ

׸ʲһ˺Ѿõˡ

ҪȻʲô

һڶд

ҿ޲ɣôЧձʿھòѹи

ǿձʼҰеƷձܺ

Ҳǲǹܺʲʺ׸ľ񡣡Сüּ

㵽ôǶ˸ϳࡣ̲ס

׸ԭʼСҲŽлȥ

ҪȻô

ڽһϵ˺˶ѰһǵŮӣѾϰˣ֪ôͣ½Ų֮ԥǻձԱԹϵķ

ðɣڸϵĽܽܣǺϳأҪҪ

ҪСð¶һһĽ͡Ұҵĸĳձֶкϳ֣ǲҲЧձЩżŮǴŸʩƵķװ̨Ͼеĳ׸裿

JuliaһձƵ

а裬ֲǿ裡

㶮СָŹ˵һ磬ΪʲôţпֳһжƫƫҪͷĨϷһͷҷӺӲϹθɾϹһⲻνķ𣿡

Julia˵еͻȻð˳䣬׸ɳɿɰܣҺ޳Juliaļ⣬ÿһ׸趼ԭζڣĵζǾʧȥ˱˼ˡһЩиˣǴȴǵЩзĿҪȻùаһʱ˾ͱǶһԲĸ𣿡

ۿ¼˶¶ͬ۹⣬㲻ټˡ

ðɣǵ˼ʹ绰ձ˹ͨ

YAҵĻһڵġС˸߲ҵȥ

ЦԾؾȻҲЦ˱ıӣͷȻֻͷȥӵ¼ˡ

ôⳡϳֽսأǣԼҲСõĿеͬǱСøȾˡ

ת¼ҴӣƳԼĵӰɴۡ

Juliaһէ

Сվ岽ԶĵطȭĶ

ʲôʱҩͿҶͷϵģ

ȻԼͿźɫҩĶͷĴ߶Ȼѹִҿʱ¶Цı飬е󾹱Сøˡ

͡ڰҿʵʱСһķŸ㲻̬ȣȻǴź⣬ϵЦȴڲ

Ƿᣡ

仰һ䣬СþתֻŰȿ񱼽׷ں¼еȫЦһš



Сãܣ

һȫĿףȻСøĨ˳ߴĺҩ࣬ڲ֪¼εôá

ԺҪİڰ

һҪСõƤˣ

ܲܰ㲻Ҫ׷ˣ

JuliaĴӷ˽˱¼ֱܳռعĴ԰

Сã

ֻJuliaһ԰ͲӰˣʱѽҹһ࣬԰ֻ˼յСƣ͸ӰӳһϡϡӰ

ҹ㲻Ҫܣ

λڽǻĽҰˣòһ¾ܳ˱ɣǸС׳ոҴģ

˰죬ټĻ԰Ȼû˻ӦڵϵΣֲ벻һȻرȥǷȥƫƫҲӰ

ҲʣϿӱŭתΪǡ

ïܵĻ԰ûаӹļˡ

Ѿˣ컹ÿ꣬˻壬ȥ˶͵һ˱ˣϿ

˼룬ݴд

ҪңԼòİС

Уһţ˵ǻİ

ᣬҲ㣬Ͽɣǵһȫ߹ˣ͵ñˡѭȥ

ȴӦҲܴҡǺ׵̫ŰĨȥģͷϣĨʱû

ûԣǰʿͷƤûע⵽ŽСõóѡ

ȳǶҪŶ

СͶһ߲ԶĲݴð˳

ءҪһ

ݴһץץСϵĵӣһ

ӳ΢ĵƹ⣬ȻСۿе졣

ҪһȥСóҭҭ˵

ֲĻһ˶ƽСֻۣô⡣

ոһֱ׷ҡҪҡءûñ

ʲôŮӿˡ󰡣Ůӱ׷ӦҪֵúϲ£Ŷ԰˵ֲʲôħ֣ȻΨֲ

ֲ׷С͸ۣɨһ⡣

֪Ϊʲô˵ʱǻӸβôеƵģ

вడСÿһ㶼ͬ׷ڶϲϵģҪңһ㶼һ

šƺеͷ

˿ĿJuliaͷһأJuliaûʱǾͦɰ۾գų۽ë˫۷·дŹ龫ĸ֡Ҳ¹ְɣ˿Ȼؿи𶯣νﲻ࣬಻Ļ͹ˣԾĶƺһֽϲ塣

òϲС˰ɣ

һֱҷ

JuliaеĪʰۣΪԴظˣ˺ȴһֱԼ㶡

Сãʲô֣

СúɵؿһۣΪʲôͻȻôʡ

ҶJuliaᵽڻ㲻ʲôɣ

˵ı

ŶԭʵǱëޣ޺ޡ

ޡͻȻ§סļ򿪻Ķ

šٶˣңJuliaһصļƤ

ðɣJulia׷òã



񾭲

ĹʮӰйרΪǰʮ֮һΪеĹ䣬ʮŮ˶Ծͷͷһȥ׷Ůֻõ֡

еҲסż찧̾׽̲סеɡ

䣬ŵ̫𣿡

ؿһֻۣҡҡͷ

ޣ̫۵ĻԸ˵һҿ԰һĹ̲ס˵ͷһοԹȫͶĹ˴ͷɥ

û¡

ȸԱͨˣ˵һ»ֱֳĽĿѯɱ֪С£𣿡

ǡԲή̬ȡǲ

Ҫȥˣ㿴ӰͷЩĺŮӣ˵Ҳкüˣһò볡ȯû취ȫǳģûĻĻô㣿

˵񾭲૵˵š

˵ʲôֻʲô񾭲ġ

Ա˹԰ֻʱ¡

˷ߣһ¸ϳˡԱ˵żϳݳݺע

䣬û𣿡Źĳ̲סһΡ

û¡ҳˡ

һ֣ȫļгûͣ

䣬ձķչ൱Ŷ

á䲻ǰں̨Ȼ̬ȣеǾǰӣ˧ʮ㣬ϻֱеŮԹȫһһ

ȫֻΪ׽ó

ҶڴרʲôʱᷢƬأ

˾ڴǶڽ׻

Զ֧㣡ڳŮ֧ƺƴͬ

ۣĽ˵֧ĺܶŶӰ˵ǧӰͷţþų̂һΣҶȿֺ㡣

ллҵ֧֡乫ʽ˵

Ҳܹձķչ˵#*WռձŮѡü¶ղı飬˵Ļ

ǶǿѨţҲ̸ϲŲ̊塣

ֵúϲ£죬㱻ڵˡȦ𣿡

һ¡Ӧǰɣ

湧ϲˣ˵ףĸӰʧ̾ϢγǿҶԱȡ

ûʲôùϲģֻҵĵ

˻һһֱں̨ۿ¼Ӱ̵İЩ赹

һᱻ˾Īķʲô谡񾭲



ǹ䰵ĳĳŮǣǸ˭أ

ȫˣŮ˻˭

ùߵŮˡ

еıֽȫڲϲ˵˭

մӰ칫⵽ܼԱİһѱֽǰͷ˵

ޡ仹̫

䣬ѣҸôãʲôܸ˵ļ磬һ˶˵Ӻʰס뵱Ҹѩʱ㻹PUBһҹöҵǮе˺Ⱦƣ飬Ȼұ͵㹫ԢϢСİĿˣһҰɨһڡ

ɲԽص㣿е㲻ͷ

صǣӦǸεյĺѲŶԣҲԸ˵ɣ

ʲô£䷴

һĸոպƵյСţϲǲǸСã

ʵκ˶֪ϲ˭

ǡҡҡͷ

ǾǴ̨չСˣ

ǡ

֪ˣһǸд漯Ůǣģ

Ҳǡ

Ҳǣǡǿ϶Ǹ

²ⱻȻϡԲ²ģ˷ʱˣ컹ʲôͨ棿

˾Ӱ죬ҪúϢֻڹ˾￪ƬйصĻ飬ոѾ˻˸裬ȻطϢˡְص˵

˵ڲڹ˾

ʮ¥Ҫ

ȥ賵

Ҫȥ

ȥŷ

ʲôһ

ŷ͸ҶɶԵ

Դ︡ǸɫĹJuliaףϹ信˧ӣֻĸݡ

ȫ

ɣôǸСãôҲţ׷ŹıӰšͷҪĳ˰

ֻЦЦΪ񾭲ݰݣ



Julia¶ЦȻ߽λ¥Ѿݵء

ֻſڿĲ輸ϣһļ

񾭲JuliaɫƵʵ

ұȽϲ˺佫ﺬŵõ廨ݸ͸㡣

æ㵽¥¸ų̀µĻƿһƿһ֦õ壬Ȼõϰš

ðɣǻʧòµϲġ

ΪģֻּܲʮСƿԱİװˣһ֦֦ڵĲõϣһһ͵еĲͷ

ԺǰҸȥһͷĿ壬Ѿˣģ

ǮĵȻһĺáJuliaǾеź

ҪðΣȥһۡ

ҿ˳Ϸݶˣð̨ʶˣе㴴òãJulia

ҵĻ䲻ƽ˵

һڸ߿һһڻܲȥ͸ò³ԼеϲڲűʾӦûüɣ

ĻƤ񡣡Julia˵ķϣҾʱɣ

ǵ£֮ǿάϵܰJuliaǽҲ

ǰҿһµʵòãJuliaֻʱŻɫΪߵֻܰ

ôˣû취һüĿͰ

ŶұΪµ׻¸µ׾Ϳ㹻Ǯ㣬Ǻ񲻹ҮһϲǷˡ

Ǯ㲻üŻûϵ

㲻ҲܲʣºҮ

֣һʲᡣС㣬ԺɲԲҪͷͿͿĸİʲɰͿĹĺۼ

Ϊ

ҽƣôΪһǮҲûС

ƣŶ֮ǰôû

Ϊǰ㸸ĸԼʣԵòƣ㡭һۡûŴҵͷԣƣԺֻҪ֪ôʣҪԱǮ͹ˣ㻹еʱְ

Ѿܾûˡһ뵽ԼJulia̲ס̾Ϣ

ĺϲд裬԰ɣ

JuliaѽԵɳҧ´˵ͷ

дĶܰJuliaܾǰĴڸ̳ȷʵѵһ

Ҳܷ겻ܡǸĸİӣ뿸Σ˷ĴҶôӪһҵһ֪ʱʶ㲻á

ú

JuliaͷͻȻθеٰ§

Һǡĸһֱæûʱȥʧȥ˫׵ʹ࣬ΪëϷֻһŮûֵÿ԰ֵҲûԶ׽ݿЭȫǸ㴴ģû˿԰

һϰ˰ݵ¼ȥǸ̸̸֣죬ڣصֻҪϵƽдԼҪżķûʲôºա

һ˫ţȫöԵڵľӪʮԱ취õľӪ²˫ʱĹԾӪȫ޵Ƕѹ

ˣһͲ֪ô죿

ллҡ

һ洹ỹлһ£ϾǸǷǲˣ֪ǸˣԼôҲ޷ŵڣи԰Լֵ˻ǲ

ûﵽʲôæ˵һЩܻĽѣָպǰѧ̵ģҵ׳գǾḻ֪һһֱ㡣

Ϊʲôôã

Ϊ˵񾭲ЦЦ˵

㱻ô˰ǰؿ

仺ĵͷĺ촽

Ϊҵ㡣

ǣĴ꣬Ȼֻһоȴ

ûоܾԼҲԼ󵨵ľٶסˣı˵ӰĹʮεĻϷȴôҲûһ˿ܸж

һᱣ㣬չ㣬ᰮ㣬ɲԿǽңȫûݸ壬һ˵ЩȻ˳ڡ

嶯ʾJuliaе졣ôܻϲأ

˽ϸŹ䣬òĳú˧һ˫۸ȻĵĻڵһ̶׵ˮͷŲӵΡ

ϲϲûʲôɣһΪϲһŮҾǻ㣬ǻûޣǻᱻԵģҾϲ˵ϲһܿµ𣿡

ԴСԡ񾭲־ܾԺѾȫɥʧˣԭڼŮӰżùƱѡѵĵһƫƫȴСõζʱԼǷڣȫΪСõĵ

ǲô¡ʵȻҲСˣʮˣȻҲϲˣȴôֵģһ쵽вҪʬϣȴƫƫڼʱûһʵ֣ҲûĴʵԼͦ

һżǷԹǵƿ

һ֪ĴСǸȦʧѾõиǣͿʼԥˡ

⡭̸

ʹȦˣƲⲻ룬Լĸоģţ¶Цݡ

ǳǳЦݣŵģȴԲš

òã̽ԵһΡ

һٿǿJuliaĴ

ˣĵ׸ߺ

ʲô⣡



㲻ôϲСã޷š

ܰװžԼϳֵЦݡ

ӣһֱΪ̾Ϣ

ڰǻʧȥǡ

Ҫڡʯ̨óáΪȻǵ̨ʡǳϷһɱ֣ȴƫƫһСĹѸΪǸѸɱòֻɣ

ĻҲ˵ǻɱ¾£ֻȦǻᱻóһһҹﲢûʲôˣöѣ֪һ򲻰ǵһ£һСãܳŶã

֪ȴϲʼһʼȷԷһһӣֻҪڹúò͹ˣ

ֻҪ֪ԼJuliaʱǳϲã͹ˣľҪԺչˡ

˵JuliaûĴӦһһжڿʼ׶Σ׼أ

жӶúܽͷнԼСĵ㣬ܾų̂ôʱˣҪǱţԼ鷳˵ǶJuliaҲǺ¡

Juliaã

ͣס˶ƺû㣬JuliaֻǰȦˣƽҲĻĹ¼ҵûлӴýĹҪ˶Ϊš

˵Ҷڲ㵽ǸĸŮһҪJuliaȥ˽һ뷨ɣϾҲȦˣһЩǼʶñȽ϶ࡣ

Ȼ񣬵ȴСһûһĳȣΡŶõģԼú롣



Ժ㲻Ҫٴ绰ˣ

밢˵Щ죬ڷӵJuliaĵ绰ͷһ

Ĳȥ¼𣿡ĴεʣŭĹܹı⡣

Ҫϼ

ˡô˵Ҳֻ÷ľҵ̬ȣÿJuliaйصͻʧ١

ҪϵķѽͿϡ

ѾԼٴƵĻˣûһʵֹ

̫ף˵ǻͣδʮĽ׶Ρ

Ѿʮˣôȥôԣ

ú̸̸¼㻹ٵձɼķֲȥ¼Ĳ֣һϵʱû취棬ھάֲȥֿ֮ǶӻѰһֱǵθ顣

ӿſڣû갢Ļֻضһ䣺ȻȥõˣҴҵس˳

һɷƵĽţûڣվڹ̨ȷ

֪ҪJulia¥һˣ¥һ˳Ϊ£ȥͽɣ

תֱ¥ݡ

ţܻȥں溰š

㿴ţͷ

ͲˣðײҲҪȥ

Juliaڶ¥ſڴšϿţ

һŲŸŰ壬û뵽žϢؿˣһûžˣ˻ǰ˸ʺ



㡭㲻ǽҿô

ϵһʦһˣһ¥ݴ񱩵ѲĽŲˣ֪ôþٽųϽȱʾԼ޹

㡭ɨǣ

ôÿôùǱײͷѪǵñס

ԲҪҺˣJuliaһô˵ػص

һתܻطˡ

״Ҳ˲ýϵʹֻʹȸСõĽŲ׷ȥ

ѷź˦ſǰһ̣۵ƽס

ۣеÿɲᣬֽŶˡ

ǴͷβûһҲûӦ㣬ȥ׷ЩŮǣˣJuliaǿᣬűͷ

㵽ڷʲôƢҪҲҪɰ

û뵽JuliaڴͿͷһο޵ôģеˣҲ˸ոյеֵʹǰӵЩ졣

ôˣŵʣִ֣ۡ˵ҵġ

ֽдöŮһ𡭡ô׷ң

˳ý嶼ڲ˭һд˺ܶİ԰ɣͷһοЩĲʹ죬ø˵

ֱÿ춼УھͲϰߵĻԺô죿˶һ𣿡ԵĽ˵

Ҳ֪Һǿ޸ͣ

ʵѾʼϲˣҲҪ׷󣬿Ǵ򿪱ֽͿŮǵţأ

JuliaֻһҲûбˣҲҵĹÿ춼ŵģҸûʱ˳ȥ͵

㳣лǣÿñƯ

û뵽Ҳִף

ɰģ

ɰǲƯ

˭˵ģֿɰƯҺʵڻ˵кܶǶǿģҪȻЩʦױʦҪʲôԷƬ˾˴ѳƱרЩר˴ģΪӾ˿ϲ̸ʵǲҪЩԷעⲻ𣿡

ǻϲһ㶼ÿԼЩŮǸȥ

ÿġϵ˵ʵJuliaһ㶼󣬴ûȱ˲

ô˵ĵ̹һ㡣ֻгʩ

ˣɵóȣϿõ׿ϣа취ĵĵձ¼ҪȻҲǰ취

𣿡ķ

δɵۿԼģĵײɵĽѹڴϣһһ˵ţҲɰˡһֱûӦҪһ𡣡

ûشǡԴӿ˱ֽԺĵ׾̲סӿ⣬òʹԼҲϲɣ

ش𣬹׷һΡǺϲ㣬һشòã

ƽۣJulia

ҶѾ˺üˡ顣

ˣʲôʵģеôô

ڹǲڶѡ

𰸣Ҫ϶Ĵ𰸡

졣ҲŮ

ִ׵ˣ

ԺֻһŵĴ¡Ĵأ

šͷ㲻Ҳࡣ

ֵñС

ȻԺֻᰮҵJulia



䣬֪һͨ𣿡ʵ

ǵģһ½ĿҪֱӸϵȥˣһµʱҪʼҵ¼Զ֮ڿûа취̨Ǽˡ

һ˵Ц˵ţȻϽĿǳĺá

˵һ¼ʮֺƴҪط¼𣿡

Ŀǰص㣬Ϊ볢Ըֲ֣ͬԹ˾ҲΪҾѡĺҲʦĿǰ̨¼ѾһˣҪȻɼ

̨ϲӰһ㣬ʲôʱٻص̨أ

ӦǵרԺ󣬳Ԥٻ

ϣϿ˳Ľɣ̨ңĸӰֵ˼ˡ

һҵġ

Ӧ̨ʳɣͻȻ

ǰ̨кܶܺóԵĶ䲻õĽӻ

ǽĿҲΪ׼һЩϲʳϷɻ֮ǰȴ󱥿ڸһ

ԱƳһСͷһ첼

ϲԵŶҪҪ²¿˹Ūʡ

ϲԵĶġһʱ֮仹²

˶գգۣʾϲԵġ

仹Ǿһͷˮ

һһƿ첼¶ͷĴֻС

ۿӡŵġMOREϤСŮͼһʱеΣⲢʾûˡ

кܶڶ￴㣬ǻصصԵţ˵ҵϰëСǺѣɷģܿϧϰպòڡ˻еıʵɲ˵˵ϰôԵģ

治ɫ΢ЦӦţֻǳѣǵĿζȥ˼ˡ

ֻ𣿡

Ӧûбˡ˻ҲԹ˼ʿСԣȥӺ˼Ұˣƽ

ɵӦԣñΪʲôĻ˸еЩʧ

ʧȴϰJuliaëޡ



JuliaڡϰԵ˵

ж绰ûֲڵܵȥ

еëˣѾڼδ绰ˣJuliaһֱϽĵ绰

˵ڵӪһϰﲻÿڵලתJuliaŵôͶĻ

Աǲǣ

˵ǣҪҰѵ绰ҵټˣ

µ绰JuliaȻʧı顣

Ҫ˵ѻȻְһʧë

ңJulia˵

ϲϲﻹҪ˼Żػͷϼϡ

ܲŻڵ˵ʲô

ȻǵĹϵƲһɶѣ

ˣ˵Ϲ⻹ܽ

˼ǵҮٵñһ£ҪȻôס󰡣˵Ѿ˼ʮε绰һúýͣҲ˼˵治ʲôҡҡͷJuliaǷԴװʲô뷨

ƭСѶȢˣǼĸĸУ

ûҲҪ㣬ϻǸձʲôɱģֱҵҮ뱻һ𣿡İſûͦ࣬Ϣš

˭ҶһëJuliaҲʡ͵ĵƣŲ»ʲô鷳֣

ӰԺܶ࣬㲻Ҫ̫ݣŷǸϲʲôиԼһɱĴȥСӰΪԹ죬ⶼǻģ

˵ҲеҲı

ǡίô죿ֻ

ˣһõŽ¯߹ļ硣ſвӬˣ¥ȥһɡ

Juliaſȥ濴˿Ӱļߡˣ

ԴǸĿԺ󣬵ʱĻһѼߣҪɷ˵Ϊҵﻹ׳Լ֮Ĺϵм߶ƶ֮ĹϵѰ

ǴһȴJulia

ȥҪˡ

һֱJuliaÿȻҲϣý˺뱣

Ҫ㵽ʲôʱ򣿡һ¥ȥJuliaһ૵˵

һЩѳ綼ǻֵģӽĵ绰ɣٸ̸ԲȰ

áƵӦˣJuliaһ߻СԼķڡ

ڴϣдżįĿϿգͷͷ

䡭

ûа취ڵ֮ĹϵƲôμȻమˣΪʲôܹأѵôļ

ѾûˣءĺҲãҪôһֱȥ᲻߳ŭĲˣ

ʹǵڹűŮӾ͸˼һˣԼֻеһͣվż̨ʱĴ飬찡ôģôõˣô˵ģ

ôԼìͷģ



ȥһɣ

¼ʦ¼һ׸裬Լչȥư

ȥˣĬȻϣ۾ŵ绰ԥǷҪٴһͨѾܲһٱܽӵˡ

JuliaûָԵĿλʡ

ûķŰۡôָҽ͡

ûҪôԼ򰡣ǸǷı

Ҿ˵ûȫһٵꡣ

ŰɣͷҾϲɵͷɵԵıģ

ЩءСǸʩʲôһϲ͵İ

ϲˣһŮĸǳʮ꣬ûôϣҲͣȻСòƽȻζ޶˵ıߣôùԵߵ

Ͳˡ

ָһѧĶ԰ס

ʼ磬شúܼ򵥡

Լˣôᶮأ

ˣҰúģ֪õִֹ𰸣ˣƽϣҪҪһȥưҪɵϴҿԺúһ֡

ȷǺ𣿡ǲͻһĿС

һӣΪȻгһ¼ǵſʼ⼸Ͳôæˡ

ҶһɻҪ̨һˡ

ɣ㲻úϢ𣿡㵣ڿЦǲǣòһĿյȻʱ仨̨ձ䱼㲻̨嶾һٰɣ

ϵıζεģٷ֮ٵİŮ˵ӡһĶˣĴβҳԱ񣿡

̹׵ĵ̲סЦԱռԱĲĿԵЩΣȴеССϲá

Ȼû˵ϲۣȴ۰

ôʵķϣҾȥ㶩ɣ

˵õֶֺ֣Ϊأ

ǻʧȥǣг֮ľӡ



Julia绰

ʵеᷳϷмǴͲһ

JuliaԥҪҪӣʵǺģɾû

ȥͿСӵìˣСŻȥҪˡ

ﱻһͲJuliaõɽ󣬼ʹ̵úܣȴַŲ£ֻûżڴ˺

Julia

šJuliaӦһϵı䣬ͶţͷȴǳȻϲ

ҹԹԵڵңȻǳġཡ

Ȼ绰

˽һºòײͷС𻨴ȼˣȫǾٶʧ١

ôˣ

JuliaŸ¶һЦݣȴһĴͣһԵҲ֡

ҲҪĵ绰ҲҪˣ

һתͱ¥ȥˡ



һֱûϹJuliaƵز뿪š

Ҫҡ

ء޳⸶ôģ#*WռǸĹ䣬òŷνһͨ绰һûˣȻû˵ͷǱ

Julia

ءֵôʹ޻

Juliaš

ϸһģ

ſõָͷˣ֪ɵͷʲô£˵һ绰¥ϳȥˣò˰ɣ

Juliaδ䣬Ѿˡ

˼ĺ˾վǰʲŵĲ챻ǣJuliaҲľȥ

Һ㣡ͺš

ӿ޷͵Ŀ֣ؽ

Ҳ㡣

ôˣһʱ֮仹޷վԼǰʲôʱģ

ԵԺıͷ绰ʱ˾Ѿ·ɻˣһ·ɻҾ͸˹һֱôȥҺ㡣

ҲǣҲǡ˷ܵػһǸµˣĺ֪Ҳǹⲻ绰ҲѾҪ绰ˣĺ㣬Ҹ뿴ˡ

ڲͻ𣿡ûձ㶣ϻ̨һǶԵģ

𣿡˱𣬳˳ӡ

Ӧûаɡƽûصϰߡ

̫ûˣ󡣡ٱá

վߴԣż׵°͡

Ժ᳣ӷֿ𣿡

һղĸоúÿࡣ

Ҳɼòãһ¼Ҳһֱ㣬һ̨춼ڵ㡣ߵŮ˴ûһģ⣬JuliaͷһȻ˼ҲǴۣԳأΪʲôҪָأ

֤û룬ôȥ

һ˸Ͽ죬Һ͵óˣһòã

ãԶһ𡣡

סĲӣһûԼôʵΪʲôֲϳĴأ

Ҳ룬һ쵽˦ˡ뵽ӵ绰£ѾڻˣЩ¶Բƽϡ

Juliaƽţñؿڡøһ𲻺ãԲ˵Щ

ڱ㣬㲻𣿡伱ؽ͡ûһ˽Ĺˣж鷳֪𣿾֪ˣҲߣӦ𣿡

ʲôӦģֻǺܵѡ

ҵһ㲻˽𣿡䱧ǸĿǹѾϰ߱ʲô۹⿴ˣ㲢ָ֪оܵ𣿡

JuliaͷһЦݸ˵ûϵҺð㣬ҿ͡

ΪʲôԸ⡣

Ļشġܵ˺

ýɱʱǺܿµģôˣ˵İЩ

Цա˾

뱣ΪˣҲᱣŮӡ

ֻҪһͲκ˺ı

䣬һãļ϶š

ֱ㲻Ϊֹƺӵе㲻ʰԼе㲻Գ֡

㰮𣿡ܲȷųԼֻܵȿڡ

صЦЦж

ӽһῪʼ㡭



벻ң

ˣJuliaŵ绰ߣǧ֮⴫۲ۣ

ã¼һ׸ˡ¼еĻ˳ʵûʲô÷գֻһᵽ㣬һ¾͸óŶ

֪ҺϿ㡣뿪Ѿʮˡ

׼ûĻ򡣡Ѿһж׼ˣֻİ˶

ҪҪҴʲôȥ

ˣֻҪҪ˴͹ˡ

ֻҪ˰Ұյȥˡװ

ЦѾˡ

ôŰɶ֪ܰġ

ΪҲ㰡

Ļش㻹ǿ⣬ÿձͨ绰JuliaץһԵı¥µҪѾʼߴˡ

JuliaǸóˣ

ŶȥѾȲϷɻɵȥˡ

һװJulia̲סЦ

ôˣJuliaʡ

ôصģû취ǰǾ׵Juliaڵһ𡣡

JuliaһͷڷһβǰǴɫٷJulia֮𣬶һӵװҲȫûٴˣ˧ֲʧţȹ򵥵£ߵ׵ĺЬ˶ЬJuliaǰƯˡ

ΰ󡣡̲ס޵ԴJuliaһ֮󣬴Ŵĸı˲١

Ҳûʱ仨ڴͷJuliaе㲻˼˵

æԼһ֮ټҲϲֵˣǲӦֲֿװˣҪ䲻ϲӣŮΪü䲻ϲȻͻӭϲãԼױ崿˵СŮˡ

ûʱ䣿ҸСʱҮ˵ûʱ䡣

ҪԶŻǲܴ̫㰡JuliaӲǱ

ˣˣСﺦߣǱҪǵô绰һ㿴ţȥ˾ͲҪٸ˼Ƣڹû˰ֻʣˣҪǰСƢ֪𣿡ⲻ˻ᵣġ

֪ӣƢѾ˺ܶˣֻҪã᲻øأ

һͬ߳⣬û뵽ӭһþơ

ϳֹ

ֻʡһ˵š

Juliaִû̻治֪λӦܿͻָ򶨣ӹܳ档

ҵĵѾɷ˺ܶˣӦòҪٷʲô˰ɡǻĻԵҸ곤С㣬شǵ⡣

ëС㣬ɷ㡣

ģǵ֮ǰüˣǱû뵽Juliaˣһ׵ķŹ

мҪţûʱǵĲɷá

߲˵ʣתJulia˵ëС㣬ֻ㼸ӵʱ䡣

һļŸJuliaܲôࡣ

ȥʱˣûʲôòɷá

ǰӣȴһߵס

ʶˡ

Ӧòǵ°ɣJuliaЩ

һˣ

ëС㣬˵˵ԹĿ

ÿǸʱҪȥסJuliaſߵ赲

߶֣ӲסJulia

ëСҪɼ𣿡

Julia˳Ǽȴϳţе

Ҹôǵ£



סڷĶȥJuliaվڴǰŴĽ־

òֻڷ﷢㶡̲סĶŴӱԹ˼䡣

䵽¼ȥһ¼ֲ֪Ҫ¼ãһⷿﶼѾˣҴҼһ⣬ʱڹ

ôԭĶһأ

Ǹ־ļߺģû뵽ڶ̨ıֽͿƬдǰϢȫĹжӼȫϵɼùڹ֪Ȳ̨ͣԭǾô

ԭ˵˻߹ԼȫȡӰţմĵ绰֪ڵ¼غһȺýߣȫصͬסƬ

λ̨ﶼ˴ýغϢڷ¥жټˣĲòͶԵѣֻ춼ڷԷ˹µ񫡣

ĵֿȫһӢģӢİ׳ոͷͣڷһѾҪܲˡ

ҪܼǾͻãȴСԧ컹÷أ̨ʱʲôһ

ι𣿡Julia̲ס˰ж绰

Julia¼

Ŷ¼ʲôʱŻ

һ˴Ѿ׽ˡ

֪¼ã¼ò̫˳һֱţе㲻ȡ

鲻𣿡ΪʲôǲǸһŶԷ

֪п㡣

뵽¼ȥô˵ҲǸˣӦöٿ԰ʲôæɣʲôæﲻϣֻҪܹҲ͹ˣôįһ˴ڷ

⡭ѡشúǿ

ΪʲôJuliaʲôѡ

Ҳ֪ͷȫǼߣһһֻɧְҵܣһȱӡ

ɧô˸ȫҸһ𲻾͵ˣ

Julia˽ΪʲôҪһ򵥵ôѡ

ҵʹȴڷòã

Julia̾һεز˵ټͰѵ绰ˡ

ٿһ۴⣬ôȥˣ



úõһ˻ܵȥ֪JuliaʧϢȹϵϡڶѾʮˣ

ëСžûٻˡ̨Сܿػص

Juliaд绰Ҳ֪ܳȥˡҲŵǸСز죬ôһȥϲ·ɣ

绰㣿ʡ

ʱɣƻˣ˵뵽¼˵ҵʹ㣬Ͱѵ绰ˡ

ǸôҴ绰ôˡ伱ð

ж绰ڴʱ

ιǵġ֣

֣ù亹乣òʲô˰ɣ

ôˣŵʡ

һͱж׷٣ž·ھ

֪Juliaû£һ

ȥĸ֣

ȥɣȥĻֻɸɧæֹ

ʲôҲˡչҵΣҲ

һ¥жټڵ㣬֪𣿡

Ǿ͸ȫ繫ˣҲŲ£

˭ҲֹJuliaһ



ˣ

һŹӾｫJuliaӳƬJuliaԣ¶ţƬдţҶѣŷǰȡ

İŹJuliaΪ˶ܹж׷ɼһ죬ɼȴԲͨãķԱֶJulia˵ʸеɣΪJulia֢ߣܾ統Ĺʾǹ䣬JuliaԵĹԱصԡ

֪Ϣǰ֣һ·϶ѵJulia֮ԱŨ⣬˶ý׷ֳزܾýĲɷãɼJuliaСҪԡ

Juliąǲ۲۵̨ˣƼͥҵǰ¼ҹһͬѱʾJuliaǸĴ˲ţĸһֵרƬ˾ΪĲŮĽӰˣҲΪƬԵ

ȫ綼֪ˡڴϿŻıֽJuliaͷ˵

𣿡⻬㱳һץš

ֽJulia˫ļգ͵͵˵ԲҿܻƻƱ

ҲŲǸļ򣬷¡

㵣ʲôĸᴭ

ҵ걻ҡЦ˵

Juliaϱɫɣ

ᣡӦ˼ϼԱ֤

Ҳڣ걻ô죿ǿĸĸΨһļҵܻϡ

һᷢκ˶һëڣʲôõġ

ڣһ㲻ˣô죿ⲻ˵Ļʧȥ

Ұ㰮һߵȥɵϡ

仰Ӧþ͹˰ɣJulia԰ġ

㲻ҸеŮ˶Ϊ˵Ĺ䰮ʱӦþҸ

Ҳ֪㲻Ҹ֪Һ㡣

ֻĸŮ˻ȥأ

ܰã



УJuliaһ¼Ҽֱ˶ˡ

ܸ˵ʱ֪Լ̫ηڹһСŮܹʲôɼû뵽һȥĿֱ֮˵Ҳס

JuliaԼĽԺ󣬴ҹıµԼJuliaɤܸȤҪںϲһš

Juliaһڣ¼ҵˣ֪˶̨СŮĿ࿴˾ȵJuliaףѣһε¼¼ȻһξOKˣ

üȽûӣôԼҲǸңŮѾȻñԼá

޸ֵ֣һշŵ׼ȷǳҵҿǰרOrderĳŮԳJuliaɤܸߣԳŮ룬ӻøԼ²˵

ðɣеΪѣԼķɱJuliaߣǿǵJuliaĺԼ⡣Ҳ֪ǲиĳƬ˾ǩԼǣԼ£鷳

ҽԼæJulia

ԲͨJuliaֻö˺ǾӢģÿĵ¼˹

ôˣԺ˵һ¾¼ˡ¼ϤĻԲ룬ᱻž⣬оֱüˣ

ԼҪOrderĳŮϳ

ţJuliaһ¡ӦÿԣҪĸָ㳪

JuliaϾðһ͵ŮˣܸЩ˺Ļһܰ

㣬𣿡š̨иƬ˾ǩԼ𣿡

ǩԼûУǡJuliaɫҲ

㲻ǳ˺𣿡û뵽ܾ

Juliaϵıֵֹġֻǲ֣һ֣ǲص㣬һ򶼲

ôô֣Īһ㶼ںԼڸķɻᱻߣJuliaܰκ˶óģֻǲΪʲôֻ֡ǳ׸ѡ

˵ⲻֻǳ׸ô򵥣һӣСһұֲáJulia͡

ֵúܰĻ᲻ãҶ˵㳪ñҺáԼϳϵ¶óˡ

Ҳ֪Һܿܳ裬ĸֲרҵJulia֮Ŀܡ

Ϊʲôҵר㶼ϰæһֻӦñû

Ұһ£һ¡Ҳ㣬㲻ҪҲе£û

ǵʲôһΪʲôͿԳ㳪Գĸ裬һ˳ʲôһʲô

ҴǰھһֱûڳƬﳪ裬ֻϵĹڸֵΡJuliaɼ֡

ۿǰСھҪˣԼæʵôˣ볪

ֱҪJuliaֵ˼ˡҪ

Լúܲ˼飬ܹһרǶҪĻ᣿û뵽СӾȻԸ⡣

Ϊʲô

Ϊһô

䲻ôһҪ취ڳר¼ͷô죡һ˵ģ



Ϊʲôϳ˵绰̨ʡ

Ҳ֧֧˵ԭ򡣡ǰһֱϳһֱҪǩԼǲϣҪʷ֪ɡ

棿䲻֪Julia֮Ĺϵ

̫̫ɩӣJuliaģҸ绰Լȥʰɣ

һۣΪ֪Juliaԭ򣬹ֻٴͨ绰ʸ

ιǷС𣿡ԿϵóǾǷ汾ˣרѾٴΣôϵ

ǡǡ

ǹ䡣

ˣþòˣеĴкJuliaҿˣףǡ

ллЩ˼ܱǸôðĴ绰Щ㡣

ûϵʰʮֵĿʡ

Juliaʶܾ𣿡

һʱˣ˺ܺãҲܿɰ

֪רﳪ衣¼¸˵һ顣

볤ĳĬһſڣڻǲϳ𣿡

ʲôԭأ

˵



ףû뵽ҲгԴ׵һ졣

ĻԺ󣬹ֻӵ⣬ΪǸе˵úǱȻͲϳˣ

еİ˳ǸգJuliaȻɵɵذĻ棬ѵ֪жҪһôõĸ

ϵ۵Ĵ裬ϲõģȴΪһⱲӾͲڿڳ裬ӵɰ

Ϊʲô֮ȻΪһˣǸ˻ǸճµĻǸż֮ڶѾ֪䵽ȥˣʱżѣJuliaȴΪǼ¹ڻ治ԭôģ

ĻôҪϣ

ĪﻹϲǸˣ

Juliaһ¼һ¼Ҳٸ˵

ţJulia̧ͷһۣƵصͷȥ档

㰮ң

Juliaе㾪̧ͷô⡣

Ļôߣµ²ܣǧķɵ¼ⲻʹǰ

ǽˣʵһʼ˵Щģǲ֪ΪʲôһȻɵľЩð

JuliaӰİɣʵںѽ边Ϊһˣܴ̼JuliaӦǰܱӰĲ𣿿ȴJulia᲻JuliaһֱԼߵĻȽϰġ

Julia˶סˡ

ȻѾˣ;Ҫȥˣ

ǽòãǰѹû⣬ԼʮǰǾ飬ʲôһǣJuliaͻὫһмƻƷΪ㡣

ôͻȻJuliaֱ޷ԼĶ䡣

㲻Ը𣿡úÿ죬JuliaҪǾܾĻôԴ

⡭ҲǲԸ⣬ǡ̫˰ɣǲʶĸ£̸飬ƺ̫Ҵһ㡣

ĻأǶԱ˴˵ʶѾˣһӶһ𡣡

JuliaŮȴⱲʺŮˣʵȻе㺢ȴɰ̲סۣϲûκһŮ˻ңֻJuliaˡĿǣɱһӡ

Ҳ밡Julia⸱̬ȣ̲סжرס

ƺҲе˼ˣ̲סϲšĻشأ

ҡ䡭Juliaش¡

ڹȴǱСŮĽߡ

롭ĻҲǲῪڳģ֪JuliaһתۣĲмŭȫ֮⡣İɣ

ֲСĲ֪ʲộ

Ȼѽ鵱Ҫ׸ֶΣɶ

֪˵Ǽʥ

û뵽ȻΪĿĲֶεˣ



һ߿һߴɻ̨Ѿˡ

JuliaסˡƳһھ͵еһҮ˵ģ׸дúܰһŵڣһ˵

Juliaһʡ

ٸᵽˣ˵

ص̨嶼ѾˣѾŽӰԺñһӶǸ˵

JuliaŬؽʲæ͵еĿűȻ֪ش󺰣Ůѣ

ʲôԱһȫӿߣȿֺһñϵݡ

֪ǹĻĵģֻһһֵĽϵݸ˳

JuliaԼĶʱģǴ˶

ǰŹԼŮѵĹ䣬ǰ۱߸ģĵŮͬưɵƬȻƬŮǸ𷢱۵ŮԣϢָëСĸѾһ䣬˴γֵŮѲδù䱾׿֤ʵŮѣǡ

ûJuliaŭɶվϰʱ䣬ǻʱ俴ʲôԱֽȥѲһҵвУ

Juliaæֽȥ

ҿˡҳȥߣ

һƬңڵȥһܽԱͶͬ۹⣬Ҫˣ

⣬һµڣ쿪ŷݺݵȻӵһĳ˳ȥ

ڰ

ô

Ųµʱ䣬ȻӵŽ椽

ã䣬㹻ˣ

ֻΪϿڳ裬Ȼýӣһʶƺ߳ŭ˵ĵذɼϻ̨壬װʲô

ΪֿСŮ

ʱϵĶİżʲôһǶΪǣԼǲһͿ԰ЩСŮһһ㶵ģȻƭȡǵĸ飿

ƫƫë޾ɵĵСĸ飬ʧأʧСĶǼһ˲أ

ãҪǰɣ

ͺúõĳ



Ҫ¼裡ҪҪǩԼ

һеĳ嵽˷ĵ̣һ߿˻ҵţҲͷжٹ˾ĸ߼ڿҪĻ飬JuliaðҽĻɽ˵ʡ

Julia

ҪǲҪJuliaһĳ࣬·˭ҲӾͻѶԷ̳븹Ƶģ˶ɵˡ

⡭ܵõҿ˵ɣΪ˿æýͷö֪JuliaͻȻȻҪJuliaǩԼѾ˼õˣи󵽣ȽֱߵĹ½ˣȥ飬JuliaûͷûԵؾʹϻ飬ֱǴ󵨵еơ

㲻ÿˣʱޣȥʱˡ

һ£Julia˦ͷߣŵJuliaѾõȫվ

Juliaȵȡ

Julia۸дһ˻

ǩһŮð˳

˿˵ŮͻȻ˽

һ˽ԵǷס

ţˣҰ鴦һJuliaú̸̸ġ

һٵ˾Ŵˣֻͷˡ

ȴֻǶգգۣһгģ

Julia𣿡ƽڼйˣϹ٩óе÷ţҼ

ҵȻˣֻרùƣзֱ绢Ļ˵

Ǿ͵ڵİ칫ȥ̸ɣԼҲôģȻJulia

¿ɻˣæҪٲ뿪ס

ţⲻѣ֪JuliaǸţҲ֪̳ϷǳܸɣȫƬɲһƷ

ʼ磬ǵǼѵ£Զʮ;һ翸˿ŵͶ۹һȻô׵ľ

İɣҲ볢ԿɩڣݿƣοҲѧֵģĸڣҺأҪġ˵ҲҰɣ

ǵȻڵгɲ񵱳ɩרúõ˲þͻᴳһɼҪɫ㶮𣿡

ܸɵţ˵ʵڵҲû취ģΪʵ̫ˣֱŮһʲôһһۣʶڣҵϴûʧܹҲԸŴʧ⣬ֻ̡

֪ģҪɫ𣿡ЦʮֲáϹʱҾĺÿɰ

һʮĴ˱Լ˵ǿɰҲֻзһҲ⣬Цɵ¡ˡ

ѵ㿴JuliaǸɫ𣿡

ף˵ҲǣͻȻһ

ǸֹŮJuliaʾܼҪʲôɫأ

Ŵ



мӣJuliaҪҪѾȫ¼˴ӣʲôҪĵģǽ֮ھ;

һһʱͽĿ¼ʱȫöˡ

׵ɩæһ¼ұֲʿѧλ֣฻ȵı࣬Juliaרݿжôķḻ

׵˫̥һ߸Julia۳ƬˣһֱûнӴƹ൱ĸߣJulia̸ҲʮͶһͳ˺Ƶϵر

׽㣬ûˣ

Juliaո׻Ӧһ£ּͶ˸ݵ֮С

ݣϲ˵񡣡

ΪݼJuliaںʱǧܼϡ㡱֣Juliaֱ֡

һװֽϻͼ˸߲ҵĻ

죬ͿȸۣѾԼҵܣһƾ˲ģŦԼʵӰģMTVһǳʺϣ̨֤忴ַ񡣡

ҲбǰҵѾ¼õĸ

ߵĹѾŶһžͿֵš

ۣĸӾĹЧʿ澪ˣĸ߽ӾĻҡŶ̶̵죬һж˳

׷ǳصͷǿõԴ࣬Ҫڶʮ֮רӦû⡣

ĵķЩþƿ

ţûɣʮ죿

ûĸŮͬ˵

пأǲµףĸ˲ΪµǰͰһרϳɣ

ˣߵĿ絶ݳټϏJuli365С˵Jar԰+iuu.maѾǳϤ¼̣Julia֣⣬Աһ¼ø죬Juliaɤѵ۷壬ڹ͸Ȼ״һJuliaΪJuliaҪĳ̶ȿǲܻΪʱ¡

һһй˸򵥵˵

ҲѾԱͳƽ漰ƣJuliaʱҪMTVҲӵƳǲŴJuliaع⣬й˾ҪƳ·Ĺ棬Ѿںк漴µƳJuliaĸϹƳǻ̴ܼߵϴƳ棬롭һӦû˳

ѾɳȻƬôרҵĿԴһڣ

ʽأʵ⡣

ݳ嵽ǰĻļͲõˣǰѾںˣǳظȤѾӦ˿ŵʽȫ֧ˡ

ӽһĵЦݡ

Ȼȸͨǲ̫⡣˵

ɣ߽õĵݸҡ˳һϢҸոˣǴӦ⼸ϻ̨壬Julia絶С٣ǵĺԮֶˡ

̫ˣҲ

JuliaһڸɵģʮվŵӢˡ

ǷİɣһһúõרԲʧģ

оģһҪǸϹ۵ûĸγ˹Ŀ࿴



ʲôʱ̨һ˰

ȥҲ˵ˡ

PƵʮ佱ҲûȥãӲڶɶҲȥ𣿡ΪĹǰ;

żҪϢһ°ɣ

˹һۣԴJuliaԺͱǸˡ

ҲϢùˣ۵쵽˶Ҫ̸̸ƬҿƬľ籾ͺܴ쿪ᣬԼӲӰɣ˾ǿǽӲɡ

±еľƣĻص㡣

ѾЩܲˣһıӡ

㵽ôȥ׷ΪӳڼʲôܾûJuliaһ㵱ôԵ޹ʸǺúõ𣿡

¼ﻹŨһ˵Juliaϻ̨ϢƬ̨һڵҲûҪȥֱǲ˼顣

㲻ֻҪһЦ̲סĸꡣ

ǡ޷ȻΪвֶΣ˴һܣ֮¾ͽˣ

ʵҲôֻǱƢˣ˵ĻһʱҲղJuliaĸӲһͷҲصľ̨ܻˡ

˵ģ顭

һĲỹһģû뵽Ȼϸ˵ٿһۣʱһŮôԴˣ

Ȼﻹģȴ飬ԲŹ۴Ǹû뵽˻ǶŲŲʣͨյĵ绰ûһ޶ã޹صģֱˡ

Ҳҡҡͷ䣬ⷽҿܶñ࣬ûԹ壿

ҸJulia֮²һ㳣жϡ

ΪʲôܣĹͷһˣ˶ᣬʲôһģֻΪպǵǣǸֵŮ𣿡

ҴûеǸǡ

䣬Уܼᶨָ֪ԼŮ˶йܻӭʱ̬ҲڵúܸߣʵʹJuliaεʧȥƣҲùվΪԼһȡ

ûУ䲻ϳԼй뷨

ҲµûJuliaʱԱһء

ȻסΪʲô

ɣǸŮǣ߲׷ߣ᲻ʱʱ̵̿ĵ

ǰJuliaֻǸʲôĺӣʱ޿̶ҪһЭ

Ҳ⣬ʱֻߣż;һжûˣûıģȵʧȥǣֱëˣȻǲһ԰ָ˳ԸĿߣҲ

˭˵ûˣ쿴ʰʱı˭ʹ

ҵ׸ôҲȥˣӰǻḡԺ

Ҳܰĸ⣬ԼɣȽֱߵ¸ãתԼעȻȥ֮£һ¡̫ãǻˣĿǺԺ󣬸㲻JuliaѾųˡ



ûп˿·ӵĹ棿

аĵúȤҮ

׹ġ

ǰӡ⡣

б԰ɣ

֪᲻ר

Ǵ绰ȥʰɣ



ĸŮ˾ٱţ

̫ˣܻӭڵ̨㲥Ҳߡ

׳ȵ

ȷEP治һƳMTV֧MTVĵǰҸұ̨֤忴MTVݶԺѵĹġ

JuliaҪʼMTV𣿡ʵ

ţҲȥһģԵЩš

ΪѾûٽӰĹ¼Ӱˣ֪Ϲ٩Ҫǿڵϳֻô٩˳ɻ

ѾعˣһΪ˷ԼţªòһȺ޵׷ߡ

Juliaרһ׸JuliaһϳģĿǰѾѡΪˣĵʵҲеģΪJuliaһǺ죬Ѿʱжˡ

ʲô㿴һ㶼šJuliaŏֱۣɵ˵

ҿJuliaľǣһ㶼ᵣġJuliaĻ¼һڵĸ裬Juliaͷβû״¼üΪ˳ǳзġ

Juliaܾ͵ýһЩרõͨŶȽһеθJulia

ҪһЩ׼ߺѡ

׼JuliaͬʱڣӿЦ

ЦëȻ

ҿҪ׼Щ˰ɣͻȻҲЦˣJuliaĸԣ׼ľ

ŲԤУΪѾӦ絶Juliaϼͨˡ

ҲǸ׼ˡĵ˵



ֻһû׼ɣ

ص̨Ƭһδӵ̨JuliaʱֱԼĶ䡣

ְٷ֮ٵȷ֧ˣԲеڶˡ

Ȼˣһѡ֮

Ǳȵ˦һ⻹

ûѾ೪Ƭͬҵ̨֪̳һĲŮ֣ɷ絶ͨ棬ֱѵõ漣伣ʱԳһ˴ĹһϰȻͰѹռܵĹھб

˲бˣ

۴ӵϿJuliaһװ¶۾ѩۺϸֳݳ̨˵ĿҼʱɵˡ

̨ͷһҡ󡪡Julia

󱨷ֱͷJuliaµϢԼڵһֳݳʱȺڿȵķһĵһ׸ǰµĹ浥ڷѾһˣ˶Ͽڣڶ¸ʱͱִڳ˵趯߳ȷʱ˸ǷJulia쭸裬ˣ

ֽĩᵽJuliaǹ֮ǰɼŮѣѾ洵Juliaýʱ˵벻Ҫǰᵽ֪֡ǷʾԹδ

ֶ᣿

䲻ֻ޹⣬ǳȵס

ػᶼûˣJuliaѾ֪Լ飬ˡ

Ӹôճ

ھ

衣رĹԱź

Ҳֻ˵źˡڱֶһ档

ݳûгˣź̽ʵ

ĬĬͷԲĵ֮һҪ赽زɣ

JuliaҲ̫ˣÿݳᶼüɹѹû˸ٽ賡أ»᳡ᱻ˹ҡҡͷ

ҲǹҪôģ֪ЩԻôHighJuliaһ޹͡

νɫȻΪ˽賡ضģJuliaģϾ̨ûһŮ֣иͷҲûһеĹڶΨJuliaǸǼ£

JuliaרѾԤеĴˣӦ󣬶һݳֻJuliaĸʵ˽ֻ¼ﳪ˵ǰʵݳ

JuliaҲ󼶵ˡ

󣬺ߣJuliaһӶ񡣡ֻǸġ

˵õòˣ

Ǳͺܺãźõģ

Julia⣬ǼĽᾧû¼Ƭǰ˺ܶĿڵɲϣΪڵġ

ź򣬷֣ڵΪǧĲüչĻһʱ㣬ټϹİæ

Ǹɱǧˣ

ˣæס⡣

ΣȻ

׳ʹ˸ɫǷˡOKģߡ

JuliaƵ˵

ǰóµг̱

Ѿһпܻͨſˣ̨ƬȦСѲϡ

֪Ѿȸˡ

ôС˵Ļ

JuliaǲĺĻش

JuliaҪˣô򵥣еý߻ҪվһգԱʾѾǰӣûǸվһôյĻڶ챨ֽϾͻдһѶ㲻õۣȦкܶҪ͵ġ

JuliaʼµҪԡ

㲻˵Ƕˣ𣿵еļΧ˹һ˵ʲôﲻȥµĻֻỵ˴֡

ҸôJulia˹˾ϾͶע൱ѪһʱͷһУǰҵŬҲŸˮ

ҲκεƣôôҲ֮ǰҲвõĵطˣҲҪҪýǰװһʲô¶ûӣⲻõ£ô㻹ǰĻĻôġ



Ļ

Juliaһڴϣıͷͷͣĸ׵Ļ

ѾֲԼһӵŽ椽ưɵ£ͷһ

ѾĻΪʲôֻôأ

ԼЦӣ϶еζǳ£Ϊ䡱Թˣż˻뵽ǰ£Ҳ⡣

ǰ

һֱʹ

֮˵ʲô

ЩۣЩִ䵽ڣ˸ռһѾû취һˣЩƬδҲֻܹѰɣ

䡭ʵ˵ǿ࡭



JuliąѾ췭ˡ

ŵ̨ĺѾ󵱳ǸֵСŮѾ֪ĴǣԺУJulia־û취һ

俴һʹĺʹֻһۣJulia¶һ˵ѩ׼ľǱˤƵۡ

ؿ˵õ¶Цգ˫ż̵֣ҺԼһжزǰˣڵJuliaѾǰǸʲôᣬҪһϵJuliaڵƲԼȻģƺѾҪüʲᣬԼߣҪĿѾҪˡ

һչ˺ǻˣԼ

䣬ڷʲô

ôһУֻջ

жҪֳ

ûǽΪҪһֳCaIIinĹ㲥ĿΪ˸ԼѧʱͬӦε룬Ӻ˻ضг̨̣׼һͨ档

Ӧÿ쿪ʼ˰ɣ

˵αˡ

䣡ֻ˹лл㣡ôҵĽĿ

ûʲôôĺѵļ硣

еݵ˵м£ҵȸ˵

ͷеɻ󡣡ôˣ

ɫ˰ҲһرҲ֪ĿȣҲ˱رףأǡ

һر˭ĸоԽԽŨ

ѵ¿ˮεؿͬѡ

ǡJulia



տ֣

һȺ˴Ľտ֣ⲻֱֳֻĿĿ

ˣΡܸˡܡѾˣлλ֧֣áܡڲϵسɳ׳ȫĹԱһŸҵ̬ȣϽΪѼȥ

һ˵ţʵĿֳλر

Ϊףܡգֳλô벻رһλһͳΪ̨ĿǰѸߺʵɴŮJulia

λڴҺáJuliaó䵭

һλǺʣֵ̨ĵǣΪ̨ƬԱ뵽ֳͬҲǸֵĹ䡣

ҺáҲ

Ѿųһ亹ˣĿҪȥ

Julia¸ѾаĹھˣһ衮ˡ˵СټԽ絶Сɣ׸ɫ١

ǵġ

û뵽һѻJuliaֻӦ֡

ξԼеСӣѾ˲бߡ

䣬ƬĵĽΣ˵Ƭеıʮ⣬ʱƳأ

ӰɣĻشֻJulia֡

ϲ˺ߣͣк紵

ⲻǿеֱֳеڿλرϵĺ˪ж񣬲ΪˣλǵðֳгýĬոȥ

ǡһǴڿʼCall-inɣ

ùJuliaǾѵĺ٣һرCaII˲ٵ绰æýС㼸æҵд˼ڰװϡ

ţ԰С㣬˵

ܡտ֣λѻ㲻äĿûΪλرͰѽˣ˵Цݡ

ллС㣬ûʲôǵر

ˣɽ󽻸Щ׼û

У䣿

Сá׵Ӧš

˧ŶҺöͬѧϲ㣬ѧУżҮ

¶΢Ц̧ͷJuliaһۣĺݵԼæЦ˻ȥлл

ǸС㻹һֱ˵ȥҺϲݵķǹ£ôˣҿһֱᡣ

ֻǾҪ䲻֪ԼôӦJuliaģǳԴǻʵûʲôЩѡ

Զ֧ģòӵؽһѣλСڰжԹֹ֧˵ˡ

ллС㣬ӭ´ٴζѵļʮֵĸˣĿƺѾ䳡ˡһ̨ͨۢ

Juliaĸԣ

λʿƺûղλСôѣһʼֻJuliaͣ˵

ãJuliaԵƳ˹䪡ND03Fһۣ˵ҪΪֻӰԶѣҲиԵˡ

ЩЦ˳ƢһҲû䡣

ҺϲסСƤֿɰͷıĺȤСɱˣҲ֪ͷСָǳдģ

ллԽ˵JuliaԽ⣬ϵЦҲˡ

һϳסζĸǹ񫣡

Һܸлϳ

ϳüһ̧ɨһۡ

ҪԼϳǲϣΪɸԼһܣһ͸˺ϳȥˣ

Juliaûڣֻظ̬ȡ

һԶڴƷ

иԵĵ绰ۿֳѾˣ΢˿

̫ˣCall-inĺܶ࣬Ƚһ¹棬һٻصֳ

һȹ룬Julia˲Լͬվں

ΪʲôͿϸϳ

ɱǧĻУ

ͬʱԭΪһΣ㽫ˮ˳

Һ˵˵ҪҺϳϣΪҴһܣһ̨͸˳ȥ˵㲻ᳪ볪ڸ趼аˣָ

˵㰮ңңŷֲ¾§ɽˮӵҺJuliaҲʾ

ˣγæ¿ˮֹ

㲻ϼ޸ңʲôȨҸ˭ȥѡ

ҲϼޣΪóвңΪҲ֪𣿡

Ҫ޸Ҹ޹أԼһֱҪ³һ顣

޹زйŲĹĵٶȱȻ졣

仯ٶȲ棬˵ϳģ̨岻¾ȻͷƬˡһҲûУ˵Լ

˺Ұ

Сã裡

ֱֳҪʼˣͣ

θֳֹĻ𱬣ֻôһͣĲжصֱĽĿС

졮ܡΪλ뵽JuliaٶȿCaII-inӻԾ绰

ήңһܴģ

ûС˵

ڣò״С˷ܺ˵ĵγǿҵĶԱȡ

һJulia㵱ôģ

ֱ̫ˡ

С㣬ҵʱ֪СľͱԵƭˣ˵꣬ͷϵJuliaѿڶ

С㣬ҵʱһʱͿСľͱǸͷƭˣСϲ׷ҲӦ

Сһͷ¶ˮôҲû뵽ǵĻش

ǵİºáرŶ

һԵμֱˡ

ȷǺرİ£һͨCall-inɣæ˸ƸһߵĽС㡣绰Ǹ۵ĸ

䣬ɲ̸̸Ḷ́

ͷβһСÿҪﶫʱɫž˵

ͷβһ˺һ쵽˵Ҫ׷ɱңʱ͵ﾾ¼ӦJuliaˣƤҲˡ

ԽԽˣѾӽıԵˡһͨС绰

ǵİºúŶλ᲻Ḵأ

ϣλͬ˵

ǰȻѾˣ仹⣬ûλСʵǸϵû

ֻ˵ŶԷҪѶԷ̻һǹ˶

֪һѾͰJuliaλȻ֮ģڳ˵ǰJuliaĴ

Сֻһӣ

һ仰¼ҵžˣ



ǰѹǻˣ

˱ֽͷһտõJulia

Juliaֻ̾ķ֡

ȻôͿĿ֮¸Ǹ˸ȥʱ¼⻹վŷļߣȴһ㶼û֣ǵƬ˳

ãڶͿԷɵȥԼװһ¶ûȴǫ̂ýݲУǹݵˣ

Ƭˣô˰

Juliaûаҵϸ翴һϴӣߵ¡

Juliaȫ᲻һƬҡ

ֻһĵҸѡɵ˵£ĸɣ

ôԴӱԺӼװĶˡ

Ǹµˣһκúõĸ飬ƫƫִòȥԣϲóƽľ̸һ̸

ҪҸ̸һ̸Julia̲סЦ

ЦеǱ

ιСѣΪãӦҸѻ̸Ҫһ˵ףһҸֵӣһҲûߣصĶľţôһʺţԼҲܡ

Ϊһ߲֮ұ۸ûȫ˶ˣأĨĨˣ˭˵ȥ

뵽Ǹչصֻ˵һûͷûβĻβʲôĿǣѵû˵

ڱ˵ҵҮ

һ仰ˣ˭µóʲô˼

ǸǣǵľͷʱðһССĻ𻨣Ϊأ֣һˣʲô

绰ͨ绰ȥ365С˵Jar԰+iuu.mʲͺˣ

ûɣJuliaɴ۾һԴ绰ȥô

Ҫǹ˵֮ûʲô̸ܴˣ

Ų֣

㲻ʵĻʺŻԶڡ

Ǿںˣ

һʺŶѣʲô˵ģJuliaŲϣǸʺŻ᲻н

ʮ

䣬ʲôʱ̨尡

еȥӵİʵ

ҲȥҴڶ¾ͻ̨ɣ

һҲصǸпǵط

ʲôʱҪȥ

ʱ붯ˣֻڶĶȥ

㲻𣿡ָǽϵJuliaǿ˺ôĹСЮձġ

źߣ

٣ǿرҪһ˼֮ҩҪᲡġԽԽ˽ˡ

ҲںӲ˵

ԽԽһԡͺÿԡûôôһJulia̸ԺǾͷϻͯˣ

ҲŲǼһ

ǸҲ˵ʲôһȫǲǻԼյֻߵŭδ

Ҳ̫嶯ˣһ˾ͳ췭ظŮӣֲǲ֪ŮƤǱȽϱҲøӣ

ʲôõģ鶼Ѿˡ

ôʼ硣ڸ̨еý嶼ǣڿǻ᲻иϵĻᣬҲ˵Ͱ̯Ӷһ˶ߣⲻǸӦ¡

һ˵һ߳¶ͬ۹⡣

Ҳ˵𣿡ʵڲԼѾ˵úˡ̫ɵǻ۸㣿˵JuliaⱲĿǣʹ

ȻѾˣбĴ

˵Ǿ˭öʵ˽̬ô˵˻;ˣǾôһͷԵĻJuliaɵϻᶮŹ֣JuliaĻ۸Ͳߡ

Ϊûҹչÿ״ҾͼøʲôƵģΪɾɵ¡

ǰ׳վȻ鵱ֶΣŻðˣһ̨Ϳڳԭĸ裬ֱ衣

ĻôԴ

ĸŮİ˵ʱѼӲ

ҪǹӦ˽JuliaСƢֲǲ֪ƫƫҪһʶԼҲʹ࣬

˼˵Ҳɻ𣿡ؿ˰һۡ

Ȼ˼æͣЦʳĸӶ˵ɲǼʲô¡㲻˵𣿡

νòáҲִúܡ

ԼúɣôܽԼҲȽϺùôõԺԶź

źʧȥJuliaѾźˣҪôźһ

԰ҲصĻᣬԼҪⱲֻҪJuliaͻֻʣź˵š

Ѿ˵ˣҵ˼ĵҲ᲻÷JuliaôڣJuliaһˡ

˵һ˵һ㰡ֱҪܡӸJuliaһԺԴҲű䱿ˣʹͨ绰ȥǲǰ㣬ɲ¿ʼô᲻֪ô𣿡

绰һҵ绰ģ֮ǰֲûҹ

ȻҲûҹ绰Ƕ㼸ε绰в𣿡

һ֮ǰѾˣѾˡѾȲˣ

㲻ԶȲͷһܲӡˣҪ򲻴ȫ㣬ôźҲ㣬ʹֲҡ



ιJulia绰Ӧ

ཡ

ôĵĵ绰ѾǵڼˣԺ͹ҵˡ

᲻ģڰJuliaͣ䲻ʡ

Juliaһ£ЩȻӦò

ϻڵ̨Ժûдһͨ绰Ҳ֪ôģΪʲôֲ˵أ

ĳֻҪ˵һԲһͷġ

˵Բֻ֣Ҫ˵仰ֻҪ仰ͺˣһһУ¿ʼһᡣ

ôİÿȫεĶôôԼأ

Ե𰡣ƽ԰ľԵǻô죬жŮϲʹƫƫֻһǻ

һֵ٣Juliaм˵

еĵλѵСС

֪һֵ٣ûݺЦ˵ԼûԼȥôʲôģ꺮ůһ£ֲٵһ⡣

ŲҪJuliaҲػش

ɣ㻹ڴͳ׷Ů˼Ҹ㰮飬Լȥ׷ȽϿ죡һϵģ˵

ݣأ㲻ҲڵʲôأJulia̲סĵ׵ʡ

û취һ̯޿κε˵ҵȲҪ˰ҪֵĻһӳҵ𣿡

пտһɣJuliaٱҲó֮е

ںꣿɦһ¡ǲ

ǲ𣿡

šĿǰǡѻشúܿ졣

ΪʲôJulia䡣

ЦЦҰãٿǿ¡



û˵͹Ҷϵĵ绰ж绰Ĺ䡣

šص绰ʧ

ֺĶֻJuliaó

ʵҲô룬ﻹҪǿһ¡

ô׵ľ͹ҵҪģһԼһŹҶϣǶ׷ˡ

˵ɣ

ûĿ˰һۣ⻹˵JuliaֲǿJuliaֻǴģҲˡ

Ǿʹͨ绰ȥJuliaҲ˺üˣŮǲ˼ȿڣҿһҲԥ˺üΣһͲҿˣԲһĹҵ

˵Ҳе䲻ǲǸ

Ȼ̨˵ɣ

ʵѾȲJuliaˣϽİ佱Ҳһ̨ɡ

ʲôʱ̰Ѿ뿪ˣǫ̂ϣˣϲ࣬װûµʡ

ʲôʱԳʲôʱߡ¶ģѾõͻȻͷ

ƱͰ׼ˣֻ仰֮ó׼ѾõĻƱھͳɣѾȲҪϿص̨ˡ



Julia绰ϲǺǵĽ绰תӵ¥JuliaС

Ųμϵİ佱񣬵ȻȥʦͷԤԼʱʣ²СʱˣJuliaϵ·ֻһ룬Ž绰

֪ԤУЦֲЦ̫Լµó绰ǹ䡣

ιˣƺ˹ڴ

ιһ˵ĹĪﱻһͲ˭ģһ̵ľͲˡ

Julia̼ٵԾ㡣

šҡһʱ֪˵ʲô˳Ĭ

ʲôʱģJuliaһ򻰶࣬˸ʡ

յáƽҲôٻǺͷǹסʲôӲǼ

ŶJuliaӦһ

绰һƬžΪ˱Σֻÿڲ䡣һμӽ

ҲǡѾˣͷҲ֡

Χˡ

šJuliaûе⣬ֻǵ˵ⲻԭ̸ݣԭˣô绰˵ıŤ

ϲ㣬ϣýҲĵѵ绰ͣڿ׵Ĺάϡ

绰ֻ˵Щ𣿡Julia಻סӣֱʵ

ףγѵ˵ⲻģ

û򰡣

ҲҰ

˵ֻ𣿡һ¶ϡ

ͨ绰˭ĺҪ𣿡еãԼӦҪ˷ܵ㣬ѾһûҲûˡ

ȻҪΪΪͣӵȫĭ

ΪʲôҲЩڴİɣ˵Ļһϳϡ

ҡJuliaͷʧѾûбˣԻصΪôԴ˺ôܴһͨĵĵ绰ң

㡭һÿζҪҳ𣿡

ǶѾûˣʲôó

ԼΪʲôϸ磿ƾʲôÿζͷ

㰮ҵĻͻԼȸ硣ǱȻĵ

Ȼһ㶼ңҲûҡҲеˣ

㡭֪ΪʲôҪô˵Juliaֻͷʼᣬ

ҭǡеˡJulia

ҲҪ˵ˣJuliaʵ˵漴˵绰



һҪĲӸŤߣ

ɫмŹĵ

˰ɣһβô˵

ġּ

ڸ;У佱Ŀֻʣʮӣ侹ȻӲǼҪǰժǸСͷ·ϡ

һͲˣֻǻڳõѣ佱Ѿ쿪ʼˣҲѾܱصˣûȥʦǱߣҲûȥױʦȷ𣿡

ûбĵطȥˣĴγ²Ƕڼ

䣬ٵǼ¡ԴJuliaһ֮󣬳״رࡣ

ҲǵѣСúģ

һĻٶݣһŭڵ˳꣬һָ̨¥ϣŭһŭ¥

ⳡҲͷһγŶѸΪѵİԶһ

ֻԺ󻹲֪ϼأ

ҿֻѧϰ߰ɣźЦЦ

Ϻõĺá

ǰҪȻȥǵĵ绰ѼһҲͦġ

ΪСںϺձ̨˲֪ͨĵ绰һͨ͹ҵ֣ǹΪǶԷģ㸴ϵϣڡ

Ƕˣܲһ𻹵ÿԼأ



ʲô

òʰõ飬JuliaŷѾʦԼʱ䣬ֻԼֽԼ΢һ£׼Ҫţû뵽侹Ȼˡ

伱żû뵽һãһ赹

ᴩľԲеڶJuliaˣ

һë£ϸһͷȻֻһƱȻСɰǴųĽСȿ㣬¶ѩ׶ƤϻһħͼԶΪ۾צͷǸıըͷɾһμʱһ

ûʱϸȥиҪµ

һƺôһĿֲJuliaֻǿ򶨵ĿֱĳԼ

ۣȻһᣬȻץ

˱ǼűǼ⣬ź޺޵˵СãҾ㣬ԺҲ׼ҵ绰û

ſңJuliaҵţʲôԺûԺˣ

˭˵ûԺģԼͰѵ绰ˣߴš

㻹Ҫ˵ʲôJuliaǿ̶ʱỹǲصÿζ˵ñ˲£˭֪Ҫ˵ʲôҿɲȥˡ

һᣬֻ档

ҵĿǣѾ˵ˡʹ˻ǲ˶١

ҲҪˣȻôѡ뿪ɣ˰ɣ

⡭ƺûˡû˵˰

һ˵ǿ֪ܶ𣿡Juliaʼйί

һ˱˵Ұɣ

¶߰ҲˣJulia뿪

䷴ץס֣ͻȻĬ

Ϊʲô˵Julia߿ޱʡ

ˣô죿Ĩ޻СҪչˣҪչˣôߣ

˵ã˵Ҳˣﻹ˵Julia޵ø㻹ǲ˼˵

ҵ˼ǡĴ۵ĴǰţҰ㣬ǲ˺òã

ʱĴĴţĵŨҵİٶȼ

ôˣƢȻҲ˵㣬ֻҪ϶Լᣬһϻữһ̲ˮôҲ

ֻJuliaͷӯۿ㡣

Ҳ㡭



һ¸ϳˣ

ΪJuliaƬ˾ܣѾʼѧϰѵԼǿͶȣЩųJuliaڿһСʱҲݽĿǰӣظ

˵ЯָϵȫעĿӰʼնš

ôԼĴ绹㲻ɣJuliaػһ䡣

ǹסֻһҪJuliaҪҵɫJuliaһװĻɫǹģɣ´αٸַɻˣ



ллСССİ佱ݵǽ̳۵ˣͬҲǽ˽ΧߣҵӭJulia

ֻJuliaһ漴񻶵˧˦һë£ȺڿJuliaĺǲڶеĹڸվһ趯

JuliaȴûжȵڵļƽϢԺſʼ˵

ԭǴݳħ׸裬ǺǣҿԿҶϵĶħJuliaָŶƤԼĹƤ˵ҽһ׸ҪĸҪ׸ԭҪһλǰңһչҵ˺ϳʱҶԼһҲûУܾĺϳᣬҵóϣҺ֮ԻῪڳ裬żĹϵ

ӰֻĿ̨ϵ˶

Ӧø˵һJulią²ԶĹ䣬˵䣬Ұ㡣

Ҳ㡣ԴĻӦ

е˼ҪΪ֮Ũûˡ

Ȼ׸Ҹǵһγ֮ǰҲȫûϰĿŹ䣺䣬ҺϳסOrder𣿡

ǹһֱܼҪһϳӣΪJuliaһֱԸϳ׸裬˽׸רС

һǰȫûϵôһȫûóȻ̨ݳﲻһˮ׼ҵԼơ

ȴֵЦйڵ֮£ʮ̨ȥ

Orderǵĸ裬ֻҪаڣܰ׸質á

Ȼమġ

ȻǺĳֶͷǷ飬ʼնǼԷ

˺ⱲעҪСÿϣȴ۵˷



Ȧּۼż

ǹJuliaϣ

רƬڰ佱˽JuliaЯֲáһµսջսʤһУJuliaıˣж׷˹飬ڰ佱JuliaϳȴûġOrderĬѣݳڳֽĿ϶סOrderƱػΪĽ

ڰ佱֮˼ʧȥӰJuliaƵĸԣ˽ƲǿѷĳǾлڴҲףˣ

ꡪ

ྫʺ飬ԭֻ飬½365С˵--Www.365book.net