„Naturallycan......”
“当然可以……”Looks atProfessorFeffermanaccidentally/surprisingly, Lu Zhougave the hand signal of invitation, give away the position before blank slate. Collectionhome station
意外地看着费弗曼教授,陆舟做了个请的手势,让出了白板前的位置。收藏本站Took the symbolpen, ProfessorFeffermanstared at the blank slateto thinka moment later, wrote above.
拿起了记号笔,费弗曼教授盯着白板思索了片刻之后,在上面唰唰唰地写了起来。
The time of finishing classhad arrived, butsitsin the classroom, actuallyno oneleaves the seat.
下课的时间已经到了,但坐在教室里的,却没有一个人离开座位。IncludingLu Zhou, everyoneis staring at the content in blank slatesteadily.
包括陆舟在内,所有人都目不转睛地盯着白板上的内容。
, Looks at the step of ProfessorFeffermangradually, the eye of Lu Zhoushinesslightly.
渐渐的,看着费弗曼教授的步骤,陆舟的眼睛微微发亮。Wonderful......
妙啊……Mathematicalinterestingplacehere.
数学有意思的地方就在这里。
An invalidmentality, how longregardless ofsteps onto unable to go out of the labyrinth.
一条行不通的思路,无论走上多久都走不出迷宫。However a seeminglyfeasiblementality, evendoes not needto approach the exit|to speakto be near, fromsteppingthat moment of thismentality, canhavethatvictoryin the frontfeeling.
然而一条看上去可行的思路,甚至不需要靠近出口多近,从踏上这条思路的那一刻开始,都能产生那种胜利就在前方的感觉。AlthoughFeffermanhas not written the laststep, butLu Zhouhas basically been ableto determine,hismentalitydid not say the absolutely correct, hasat leastover 90%probabilitiesto be feasible!
虽然费弗曼还没有写到最后一步,但陆舟基本上已经可以确定,他的思路不说绝对正确,却有至少九成以上的概率是可行的!Really, thisbigcowhas not truly disappointedhim.
果然,这位大牛确实也没让他失望。Writes all over the blank slateremainingareasmoothlycompletely, ProfessorFeffermanin the lastline of positions, drewlast
流畅地将白板剩下的面积全部写满,费弗曼教授在最后一行的位置上,画下了最后一笔In the classroomresounded the sound of intermittenttumult, althoughthesecontentswere more difficultregarding the student of undergraduatestage, buthereafter all is Princeton, whatsitshereisdespises the math departmentstudent in chainpeaksituated in the division/discipline.
教室里响起了阵阵骚动的声音,虽然这些内容对于本科阶段的学生来说困难了些,但这里毕竟是普林斯顿,坐在这里的是位于学科鄙视链顶端的数学系学生。Cannot think that thisstep, does not meanno onecan understand.
想不到这一步,并不意味着没有人看得懂。
Obviously, they, althoughrespondedslightlyslowly, butjust likeLu Zhou, from the step of ProfessorFefferman, saw the ingeniousplace of thismentality.
很显然,他们虽然反应稍微慢了点,但和陆舟一样,也从费弗曼教授的步骤中,看出了这条思路的巧妙之处。Took backseal'ssymbolpeninblank slate, the mathematical formula that ProfessorFeffermanwill write downsawfrom the beginning the tailcarefullylooked, latersmiles, saidin a soft voice.
收回了印在白板上的记号笔,费弗曼教授将自己写下的算式从头看到尾仔细看了一遍,随后笑了笑,轻声说道。„Thisproblem not easy...... difficultytoundergraduate student.”
“这道题可不容易……对本科生来说困难了点。”Lu Zhoucoughedlightly: „Therefore, itasponders the topictogether.”陆舟轻咳了一声:“所以,它只是作为一道思考题。”Heplanned and studentsmeets, if notbecauseso manypeopleare interestedinhisresearchprogress, hewill not writeimpulsivelythisin the blank slate.
他本来只是打算和学生们见个面的,如果不是因为这么多人对他的研究进度感兴趣,他也不会心血来潮地把这道题出在白板上。Especiallywhatmadehimnot think, thisbig shotwill sitin the back row of lecture amphitheaterunexpectedly.
尤其令他没有想到的是,这位大佬竟然会坐在阶梯教室的后排。
The attentionwill return the content in blank slate, ProfessorFeffermanfeltbeard stuble on chin, saidlooking pensive.
将注意力放回到了白板上的内容,费弗曼教授摸着下巴上的胡渣,若有所思地说道。„δiδjdefinesas the ξiξj / ξ 2Fouriermultiplier......, butIwantto know, even ifyouobtained the piequation, what significancealsothere is? Icould not look that...... convenientexplainsforme?”
“其中・δi・δj定义为ξiξj/ξ2的傅里叶乘子……可是我想知道的是,就算你得出了pi的方程,又有什么意义?我看不出来……方便替我解答吗?”
The matter that „sure,”thisis not worthconcealing, Lu Zhousmiles, saidjoyfully, „, but, Ineed a newblank slate.”
“当然可以,”这并不是什么值得隐瞒的事情,陆舟笑了笑,欣然道,“不过,我需要一块新的白板。”„Princetonmostdoes not lackis the place of blackboard writing, Ihelpyoumakecometogether.”
“普林斯顿最不缺的就是板书的地方,我去帮你弄一块过来。”Abandonedthese words, ProfessorFeffermanturned aroundto leave the lecture amphitheaternot to stop, towed a blank slateto come backfrom the next doorclassroomquickly.
扔下了这句话,费弗曼教授一刻不停地转身离开了阶梯教室,很快从隔壁教室拖了一块白板回来。Saw that ProfessorFeffermanfortheblank slate that oneselfdrag, Lu Zhoualsono longerpoliteanything, wiped the handwriting in blank slate, took the symbolpento start the blackboard writing, anddidtoownstepexplainedin detail.
看到费弗曼教授替自己拖来的这块白板,陆舟也不再客气什么,擦抹去了白板上的字迹,重新拿起记号笔开始了板书,并且对自己的步骤做了详细地解释。„Ifweobtainedpi : = i-δiδjj, can conduct conventionalGeneral pointsthroughnoradiationnature of use, furtherextracts......”
“如果我们得到了pi:=i-・δi・δj・j,可以通过利用的无发散性质进行常规积分,进一步求出……”These days, has heat the matter of busyexperiment, the researchaboutnsequationonly conducted „pi : =actually?”Thisstep, as for the followingcontent of blackboard writinginblank slate, is actually the sceneinfers.
这段时间里,他一直都在忙实验的事情,关于ns方程的研究其实只进行到了“pi:=?”这一步,至于接下来板书在白板上的内容,其实都是现场推导的。Thissounds likesomewhatdifficult.
这听起来似乎有些难。Butin factwantsto achievethesestep is very actually easy.
但事实上想要做到这一步其实很容易。After all the mentalitysuspendshere, heneedsto doleads intomerely the conclusion that previouslyreached, thencontinuesto inferalongthismentalitydownward.
毕竟思路摆在这里,他所需要做的仅仅只是将先前得到的结论带入进去,然后沿着这条思路继续往下推导。However, thiseasy, is not endless......
不过,这种容易,并不是没有尽头的……Wrote downthisline of mathematical formulasin the blank slate, the pen tip on Lu Zhoustoppedsuddenly.
在白板上写下了这行算式,陆舟手上的笔尖忽然停了下来。Seesthisstep, ProfessorFeffermanwas tightening the eyebrow, provoked an interestedcurvesuddenly.
看到这一步,费弗曼教授原本紧锁着的眉毛,忽然挑起了一丝饶有兴趣的弧度。Lu Zhoutook back the symbolpen in hand, threw the line of sight of inquirytohim.陆舟收回了手中的记号笔,向他投去了询问的视线。„How do yousee?”
“你怎么看?”
The index fingerrubsbeard stublelooking pensive, ProfessorFeffermanwas thinking aloud that results insaid.
食指若有所思地摩擦着胡渣,费弗曼教授自言自语似得说道。„Probably...... Interesting.”
“好像……有点意思。”
Does the eyewinklooks at the two people on platform, sits the studentsinclassroomkeeps silent, for fear thatmakes a sound, interrupts the ponders of twobig shot.
眼睛一眨不眨地看着讲台上的两人,坐在教室里的学生们默不作声,生怕发出一点声响,打断两位大佬的思考。In the entireNorth America, has not respected the talent, to respect the knowledgecompared withPrincetonprobably the place.
在整个北美,大概没有比普林斯顿更尊重天才、更尊重知识的地方了。In the pastfiveminuteswere so long, ProfessorFefferman a expressionloosen on face, saidwith the relaxedtonesuddenly.
过去了五分钟那么久,费弗曼教授脸上的表情忽然一松,用轻松的口吻说道。„It seems like, thisissuecannot be solved.”
“看来,这个问题不是那么好解决的。”Looks at steadilyto stare atLu Zhou of blank slate, the approvalis nodding: „Yousaidright.”
目不转睛盯着白板的陆舟,认同地点了点头:“你说的没错。”Ifreallyhas such goodsolution, Clay Institutewill not include the list of sevenbigmillenniumdifficult problemit.
如果真有这么好解决的话,克雷研究所也不会将它列入七大千禧难题的名单了。„Youcanachievethisstep, came as a surprise tomyactually.”Smiles, ProfessorFeffermanbenignsaying, „the nsequationis a veryinterestingissue, itis the Fluid Mechanicsfoundation, isclassicalproposition in the partial differential equation. The global existence that ifcansolveitssmoothing solution, for the humanmentalglory, toa series ofwill not only have the far-reaching significancewith the division/discipline that itis connected.”
“不过你能做到这一步,倒是出乎了我的意料。”笑了笑,费弗曼教授和颜悦色的说道,“ns方程是一个很有趣的问题,它是流体力学的基础,也是偏微分方程中的经典命题。如果能够解决其光滑解的整体存在性,不仅仅是为了人类心智的荣耀,更将对一系列与之关联的学科产生深远影响。”Dieudonneis one of the BourbakiSchoolfounders, „mathforhumanmentalglory”hehad once said the famous saying. AlthoughProfessorFeffermandoes not approveBourbakiSchool the viewpoint, butactuallyquiteapproves ofthese words.
迪厄多内是布尔巴基学派的创始人之一,“数学是为了人类心智的荣耀”正是他曾说过的名言。费弗曼教授虽然并不认同布尔巴基学派的观点,但却相当赞同这句话。At this point, ProfessorFeffermanpattedclappingwith a smile, is applauding.
说到这里,费弗曼教授笑着拍了拍手,鼓起了掌。„A verysubstantialclass......, althoughIsaid that possiblya littleindulged in self-glorification. Do youthink?”
“很充实的一堂课……虽然我这么说可能有点自卖自夸。你们认为呢?”Speaking oflasttime, hethenlookedto the classroom, even ifthesehave finished class, has not moved out of the way the fartfrom the backless stool. Stockstudents.
说到最后一句的时候,他回头看向了教室里,那些即便早已下课,也没有从板凳上挪开屁.股的学生们。Butrespondedhis, naturallyresounds through the applause of classroom.
而回应他的,自然是响彻教室的掌声。Listens to the slatingapplause, Lu Zhouto smileembarrassed.
听着雷鸣般的掌声,陆舟不好意思地笑了笑。Althoughhas not spoken, butinhisheart is actually somewhatsmallself-satisfied.
虽然没有说话,但他的心中其实还是有些小得意的。
Compared with the seriouspublic lecture, the classroomto the sense of achievement that hebringsis a completelydifferentexperience.
与严肃的报告会相比,课堂给他带来的成就感是一种完全不一样的体验。It seems like that even if the entiresemesterhas not met, buthisstudentslikevery muchhis.
看来,即便是整个学期都没有怎么见过面,但他的学生们还是很喜欢他的。„Right, thiswrotemeto do,”listened to the applause in classroomto subsidegradually, ProfessorFeffermanremembered a mattersuddenly, referred to the mathematical formula in blank slate, saidwith the humorouscharmingtone,„yourcommitmentwas useful?”
“对了,这道题我做出来了,”听着教室里的掌声渐渐平息下来,费弗曼教授忽然想起了一件事情,指了指白板上的算式,用幽默风趣的口吻说道,“你那个承诺还有没有用?”Lu Zhougawkedslightly , the doubtssaid.陆舟微微愣了下,疑惑道。„Commitment?”
“承诺?”Sitsin the front, previouslywas earliestto the female student of thatmaroonlong hairheaskedraised the hand, saidfull of enthusiasm.
坐在前排,先前最早向他发问的那名栗色长发的女生举起了手,兴致勃勃地说道。„Professor, youhave said that ifwhomadethisproblem, youreceivehimto beyourdoctor.”
“教授,您说过,谁要是做出了这道题,您就收他做你的博士。”In the classroomresounded the sound of creating a disturbance.
教室里响起了起哄的声音。Lu Zhouhas not goneto look the student who thattakes the lead increating a disturbance, coughed saying: „Do not crack a joke.”陆舟没有去看那带头起哄的学生,干咳了一声说道:“你还是别开玩笑了。”„, Ihave not cracked a joke,”ProfessorFeffermanhahasaid with a smile, „, ifyoudid not mind that received a doctoragain, Idid not mindstudied for the doctorateactuallyinyourhereagain.”
“不不不,我可没开玩笑,”费弗曼教授哈哈笑道,“如果你不介意再收个博士的话,我倒是不介意在你这儿再读个博士学位。”Although the tone of ProfessorFeffermandoes not seem likecracks a joke, butLu Zhouknows that hedefinitelycracks a joke.
虽然费弗曼教授的语气不像是开玩笑,但陆舟知道他肯定是开玩笑的。Withhas leftcompared withProfessorFaltings in Princeton, ProfessorFeffermanin„arrogant”this point, is completely anotherextreme. InInstitute for Advanced Study that the talentwalkseverywhere, only thenhecannot have scruples the statusto playsuchjoke.
和已经离开普林斯顿的法尔廷斯教授相比,费弗曼教授在“傲慢”这一点上,完全属于另一个极端。在天才满地走的普林斯顿高等研究院,也只有他会毫不顾忌身份地开这样的玩笑。Sees the Lu Zhouresigned-lookingexpression, Feffermancoughedgently the sound, stopped the joke, thenexchanged the earnesttone.
见陆舟一脸无奈的表情,费弗曼轻轻咳嗽了声,停止了玩笑,转而换上了认真的语气。
„ Good, sinceyoudo not have the planto receive a doctoragain, Ihope that youcancomply with
“好吧,既然你没打算再收一个博士的话,我希望你能答应我一个请求。”Lu Zhouhad not easily promised, butasked: „Whatrequested?”陆舟没有轻易许诺,而是问道:“什么请求?”„The existenceandsmoothaboutthree dimensionalincompressible viscous flownavier-stokessoluation of equation,”stopped the moment, ProfessorFeffermansmiles, the tonesaidsincerely,„Ihopecooperatesto solvethisproblemwithyou!”
“关于三维不可压缩navier-stokes方程解的存在性与光滑性,”停顿了片刻,费弗曼教授笑了笑,语气诚恳地说道,“我希望与你合作解决这个问题!”
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