SATS :: Volume #4

#381: Before Christmas last theory of numbers class


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After 10 million US dollars research funds to account, no one is skeptical to the project again, no one suspected whether again the Lu Zhou ability in mathematics really can process these seems like with noise no electromagnetic wave news of difference. 一千万美元的研究经费到账之后,再没有人对项目抱有疑虑,也再没有人怀疑陆舟的数学能力是否真的能够处理那些看上去和“噪音”没有什么区别的电磁波讯息。 Even, the sound that meets continually was smaller. 甚至于,连开会的声音都小了许多。 However, this actually not because of that ten million US dollars bringing shock, but was following has no thing to need to discuss. 不过,这倒不是因为那千万美元带来的震撼,而是接下来已经没有什么东西需要讨论了。 Entire engineering design plan, in this month clarity that very in has discussed that the difficult problem in complex physical detail and project was also under discussion to be solved. 整个工程设计上的方案,在这一个多月的时间里已经讨论的很清楚,复杂的物理细节与工程上的难题也都在讨论中得到了解决。 Now most essential issue discussing the thing realizes. 现在最关键的问题是将讨论出的东西进行实现。 After the theoretical worker comes to the end, Lu Zhou suddenly discovered accidentally/surprisingly, in this most anxious and in most essential final two weeks, oneself were instead relaxed. At least before the equipment receipts, more things have not needed him to be done. 理论工作告一段落之后,陆舟忽然意外地发现,在这最紧张、最关键的最后两个星期里,自己反而轻松了下来。至少在设备到货之前,没有更多的事情需要他去做。 However compares his relaxedness, was actually painstakingly these engineers. 不过相比起他的轻松而言,却是苦了那些工程师们。 In order to avoid the restraint magnetic field mutual interference of accelerator restraint magnetic field and plasma, they have to dig on the laboratory wall, lengthen permitted the granule through the launch track, and atomic gun magazine puts a farther room...... 为了避免加速器约束磁场与等离子体的约束磁场互相干扰,他们不得不在实验室地墙上打了个洞,延长了允许粒子通过的发射轨道,并且将原子枪的“弹夹”放到更远的房间去…… ...... …… Institute for Advanced Study. 普林斯顿高等研究院。 Hardy and Jericho two people resisted their high fish bones loosen from outside, thought of the cardboard box of decorative lighting and colored ribbon with office corner these placed one. 哈迪和杰里科两人从外面抗来了一颗两人高的鱼骨松,和办公室角落那些装着灯饰和彩带的纸箱放在了一起。 Although Lu Zhou had a false to them, but this Christmas seems like no one to plan to go back. 虽然陆舟给他们放了个假,但这个圣诞节似乎没有人打算回去。 At the suggestion of Hardy, everyone unanimously decided that in the Christmas same day, office decoration has a holiday aura point. 哈迪的提议下,所有人一致决定,在圣诞节的当天,将办公室装饰的更有节日气息一点。 Wiped the sweat on forehead, Hardy relaxed, suddenly the discovery recently rarely appeared in Lu Zhou of office today unexpectedly here, therefore then greets. 抹了把额头上的汗水,哈迪直起了腰,忽然发现最近很少出现在办公室的陆舟今天居然在这里,于是便打了个招呼说。 Professor, immediately can the Christmas, you be able to cross with us?” “教授,马上要到圣诞节了,您会和我们一起过吗?” Bending over one's desk composing Lu Zhou stopped in the hand the pen, thought a moment later, replied: Does not have the accident/surprise should the meeting.” 正在伏案写作的陆舟停下了手中笔,思索了片刻之后,回答:“不出意外应该会。” On Hardy face joyful, immediately asks warmly: Teaches, do we have the Christmas present?” 哈迪脸上欣喜,立刻热情地问道:“那教授,我们有圣诞礼物吗?” Lu Zhou smiles: Naturally, I will prepare a special Christmas present for all of you respectively.” 陆舟笑了笑:“当然,我会为你们所有人分别准备一件特别的圣诞礼物。” In the office was in a tumult immediately. 办公室里顿时骚动了起来。 Did Lu Zhou prepare the Christmas present to them unexpectedly? 陆舟居然给他们准备了圣诞礼物? Although does not know that is anything, but the expressions on all faces obviously anticipated very much. 虽然不知道那是什么,但所有人脸上的表情明显都很期待。 Naturally, there is an expression that on the face hangs is worrying about. 当然,也有人脸上挂着担忧的表情。 Jericho leaning, looks at Hardy low voice tsukomi: Gift should not be the mathematics problems.” 杰里科偏了下头,看着哈迪小声吐槽了一句:“礼物该不会是数学题吧。” Hardy gawked slightly under: „...... Cannot probably.” 哈迪微微愣了下:“大概……不会吧。” However, this as if also really has the matter that the point image professor comes out competently. 不过,这似乎还真有点像教授能干出来的事儿。 Very exciting Hardy, now is a little nervous...... 原本很兴奋的哈迪,现在有点慌了…… Pours the gift that does not care about to give is anything, stopped the pen in hand, Vera whole face hope for looks at Lu Zhou: „Do I have?” 倒不在意送的礼物是什么,停下了手中的笔,薇拉满脸期冀地看着陆舟:“我也有吗?” Lu Zhou is smiling nod of: Naturally.” 陆舟微笑着点了点头:“当然。” Regarding oneself student, he will never favor one and discriminate against the other. 对于自己的学生,他从来不会厚此薄彼的。 Even if always makes him feel Hardy that has a headache about, he also gave him to prepare a gift. 哪怕总是让他感到头疼的哈迪,他也给他准备了一份礼物。 The cheeks somewhat blush slightly, Vera said embarrassed: „...... I, gave you to prepare a gift.” 脸颊略微有些发红,薇拉不好意思地说道:“……我也,给您准备了一件礼物。” Hardy blew a whistling, but quickly by Qin Yue holding down. 哈迪吹了声口哨,不过很快被秦岳给按住了。 Threw the line of sight of inquiry to two people, Lu Zhou asked. 向两人投去了询问的视线,陆舟问道。 What issue has?” “有什么问题吗?” Held down stubbornly the mouth of Hardy, on Qin Yue the face squeezes a smile: It‘s nothing!” 死死地按住哈迪的嘴,秦岳脸上挤出一丝笑容:“没什么!” emmm...... emmm…… The suspicion looked at Qin Yue one eyes, Lu Zhou always felt that in this ordinary day simple-hearted honest fellow, as if had anything to hide the truth from him. 怀疑地看了秦岳一眼,陆舟总感觉这个平日里木讷老实的家伙,似乎有什么事情在瞒着他。 However did not matter, crossed for two weeks Christmas to arrive in any case. 不过也无所谓了,反正过两个星期圣诞节就要到了。 All truth, will be revealed on that day. 所有的谜底,都会在那天揭晓。 ...... …… Before Christmas the last class, Lu Zhou takes the textbook, came to the lecture amphitheater. 圣诞节前的最后一堂课,陆舟拿着课本,久违地来到了阶梯教室。 Because of vacation near reason, in the classroom was full of the impetuous atmosphere. 因为假期将近的缘故,教室里充满了浮躁的氛围。 It seems like that US or China university, the student of mediocre talent, is the same regarding the feeling of vacation. 看来,无论是美国还是华国的大学,无论是平庸还是天才的学生,对于假期的感觉都是一样的。 After entering the classroom, looks in the students eyes the unexpected expression, Lu Zhou somewhat is slightly embarrassed. 走进了教室之后,看着学生们眼中意外的表情,陆舟略微有些不好意思。 Embarrassed saying that this semester were really busy, the front leg was just the visiting scholar to come back from Columbia University shortly , the back leg stepped flight to Germany immediately. 说来惭愧,这学期自己实在是太忙了,前脚刚从哥伦比亚大学做访问学者回来没多久,后脚马上又踏上了前往德国的航班。 These elected this class students to him, the entire semester has not met his several. 以至于那些冲着他才选了这门课的学生们,整个学期都没见过他几次面。 This is the last class, Lu Zhou felt, under oneself should carry out the responsibility of professor. 这都已经是最后一堂课了,陆舟觉得,自己还是应该履行下教授的职责的。 He also had the time for these days in any case, the words that will tow again in the future perhaps, had no free time. 反正这几天他也有时间,再往后拖的话,没准就更没空了。 „...... Today's curriculum about the Mersenne Prime Number part, I will mainly speak the Mersenne Prime Number the inferential reasoning and application of regularity of distribution as well as Lu-Zhou Theorem. Part is not the key point, you can hear to relax, me guess in any case your present thoughts have flown on Santa Claus.” “……今天的课程是关于梅森素数部分,我主要会讲梅森素数的分布规律以及陆-周定理的推导和应用。这一部分不是什么重点,你们可以听得放松一点,反正我猜你们现在的心思已经飞到了圣诞老人身上去了。” Heard the students well-meaning laughter, Lu Zhou wrote down the curriculum title with the symbol pen in the blank slate, while with chatting the tone and his students continued to say. 听到了学生们善意地笑声,陆舟一边用记号笔在白板上写下了课程的标题,一边用闲聊地口吻和他的学生们继续讲了起来。 The domestic teaching material of new edition correction uses a Zhou theorem word to replace Zhou to guess mostly, but after Lu Zhou came to Princeton discovered, he turned several theory of numbers teaching materials, above or Zhou-Lu Theorem described with Lu-Zhou Theorem. 新改版的国内教材大多数采用周氏定理一词来替换周氏猜测,不过陆舟来了普林斯顿之后发现,他翻了好几本数论教材,上面都是用“陆-周定理”或者“周-陆定理”进行描述。 Because these students get down already has prepared a lesson the reason, because also this is own research results, Lu Zhou lecture of quick, only used less than the complete content of 20 minutes of then teaching regulation. 因为这些学生们下去已经预习过的缘故,也因为这本身就是自己的研究成果,陆舟讲的很快,只用了不到二十分钟便讲完了课程的全部内容。 Looked at time on the watch, Lu Zhou saw to finishing class also some lot of time, then looked that said to own students. 看了眼手表上的时间,陆舟见离下课还有不少时间,便看向了自己的学生们说道。 This class also has time, has the words of what issue, you can ask me.” “这堂课还剩下一点时间,有什么问题的话,你们可以问我。” The female student who has the maroon long hair raises the hand immediately. 一名留着栗色长发的女生立刻举起了手。 Lu Zhou nods to her, hints her to be able the inquiry. 陆舟向她点头,示意她可以起来提问。 Professor, are you studying the ns equation?” “教授,您在研究ns方程吗?” Regarding this unexpected issue, Lu Zhou smiles to say. 对于这个意料之外的问题,陆舟笑了笑说道。 Why asked this question?” “为什么问这个问题?” Many people are very curious,” blinks, the female student asked that we were also very curious.” “很多人很好奇,”眨了眨眼睛,那女生问道,“我们也很好奇。” Lu Zhou observed the situation a classroom. 陆舟环视了一眼教室。 „Are you curious?” “你们好奇吗?” In the classroom probably 1/3 people nod. 教室里大概三分之一的人都点了点头。 Lu Zhou asked repeatedly: Really?” 陆舟重复问了遍:“真的?” Perhaps is because on his face mysterious smile, this almost all students nod curiously. 或许是因为他脸上神秘的笑容,这一次几乎所有学生都好奇地点了头。 That line,” Lu Zhou wiped off the content in blank slate, inscribed one line of recent titles, „the second half class, speaks me regarding the understanding of three dimensional incompressible viscous flow navier-stokes equation.” “那行吧,”陆舟擦掉了白板上的内容,写上了一行新的标题,“后半节课,就讲讲我个人对于三维不可压缩navier-stokes方程的理解好了。” Reviews some foundational contents, can reexamine these obvious issues whether really obvious. 重新回顾一些基础性的内容,能够重新审视那些显而易见的问题是否真的显而易见。 Especially these are not advantageous for with the abstract concept of language with the language at the same time, Lu Zhou also in the ponder that reviewing the research is having. 尤其是将那些不便于用语言表达的抽象概念用语言表达出来的同时,陆舟自己也在回顾着研究中产生的思考。 Stands on the platform, Lu Zhou lecture of full. 站在讲台上,陆舟讲的酣畅淋漓。 However regarding the student under stage, was unfriendly. 不过对于台下的学生来说,就不是那么的友好了。 Even if the undergraduate students in Princeton are very strong, many people two have then repaired completely the complete content of undergraduate stage, but to them, wants to absorb in the blank slate completely the content of blackboard writing, still has a big difficulty. 即便普林斯顿的本科生很强,很多人大二便已经修完了本科阶段的全部内容,但对于他们来说,想要完全吸收白板上板书的内容,也存在着不小的难度。 This has the student of deep understanding regarding these to the partial differential equation. 这还是对于那些对偏微分方程有深入了解的学生。 If these has not started to study the partial differential equation, or the understanding not thorough student, a Lu Zhou lecture of thing almost and heavenly book is not different. 如果是那些还没有开始学习偏微分方程,或者了解并不深入的学生来说,陆舟讲的东西几乎和天书没什么两样。 Regarding these can frequently the talents that the professor stumps. 对于这些经常能把教授问住的天才们来说。 This too attacked the person! 这实在是太打击人了! „...... According to the above conclusion, we can in the limited situation, the whole of three dimensional incompressible viscous flow navier-stokes equation smoothing solution exist.” “……根据以上结论,我们能够得到在有限情形下,三维不可压缩navier-stokes方程光滑解的整体存在。” As for how this conclusion to more generalized conclusion promotion, but also need more further research.” “至于如何将这个结论向更一般化的结论推广,还需要更进一步的研究。” To deepen your understanding, I hope that in rest of the time, you can ponder together the topic. He is not very difficult, but should be very interesting.” “为了加深你们的理解,我希望在剩下的时间里,你们能够思考一道题目。他不是很难,但应该很有趣。” Saying, Lu Zhou was raising the symbol pen , to continue the blackboard writing in the blank slate. 说着,陆舟提起了记号笔,在白板上继续板书。 Amp ; amp ; lt ; b ( , v ) , wamp ; amp ; gt ;: =-1 / 2 ∫ \ {(( u ) V) w +((( V ) u) w } dx 【amp;amp;lt;b(,v),wamp;amp;gt;:\{((u・)v)w+(((v・)u)・w}dx】 B ( , v ) =-1 / 2 p \ {( ) +( V ) } 【b(,v)=-1/2p\{(・)+(v・)}】 【......】 【……】 The strict sense, this is not together the topic, but was he over the two days when studying the ns equation partial differential equation domain an issue. 严格意义上来讲,这不是一道题目,而是他这两天在研究ns方程时遇到的一个偏微分方程领域的问题。 He had not certainly counted on that these undergraduate students can give an answer, but he wants to listen to the mentalities of these students, could bring some inspirations to his research. 他当然没有指望这些本科生能够给出一个答案,不过他希望听听这些学生们的思路,或许能给他的研究带来一些启发。 Blackboard writing, Lu Zhou simultaneously while does was explaining succinctly. 一边板书着,陆舟同时一边做着简洁地说明。 Now what p is the leray projection of no divergence vector L...... we requests, has the square to accumulate the solution equation pi.” “其中p是无散度向量l的leray投影……我们现在要求的是,具有平方可积解的方程pi。” 【...... Pi =?】 【……pi=?】 Wrote down the last character, Lu Zhou placed on the multimedia teacher's desks the symbol pen gently, looked that to students who in the classroom were lost in thought that said with the tone of cracking a joke. 写下了最后一个字符,陆舟将记号笔轻轻放在了多媒体讲桌上,看向了教室里陷入沉思的学生们,用开玩笑的语气说道。 If in you who untied this issue, I will convince Professor Fefferman for him, allowing him to graduate ahead of time, comes my here to study for the master directly, or straight abundant also good.” “如果你们之中有谁解开了这个问题,我会替他说服费弗曼教授,准许他提前毕业,直接来我这儿读硕士,或者直博也行。” Professor Fefferman is the researcher of High court, is the mathematical department head of Princeton University, is one seemingly benign countenance, to the old person who who greets with a smile. 费弗曼教授是普高院的研究员,同时也是普林斯顿大学的数学系主任,是一个看起来慈眉善目、对谁都笑脸相迎的老人。 Although Lu Zhou spoke this saying with the tone of cracking a joke, but the student present apparently does not have really to regard a joke it. 虽然陆舟是用开玩笑的语气说这话,但在座的学生显然没有真的将它当成一句玩笑。 By the Professor Lu skill, this commitment can accomplish with ease. 陆教授的本事,这点承诺还是能轻松办到的。 In legendary the Professor Lu hanger-on studies for the master's degree, climbs a higher mountain peak regarding these pursues in the math the talents, is quite attractive. 在“富有传奇色彩”的陆教授门下攻读硕士学位,对于这些追求在数学上攀登更高山峰的天才们而言,还是相当有吸引力的。 In the lecture amphitheater falls into the deathly stillness general silence, everyone was pondering exhaustively. 阶梯教室里陷入死寂一般的沉默,所有人都在绞尽脑汁地思考。 However...... 然而…… Obviously this topic is not that can do simply. 显然这道“题”并不是那么简单就能做出来的。 Looks students who these fall into the ponder, writes down own email in the Lu Zhou plan in the blank slate, after this issue keeps the class time, the corner of lecture amphitheater back row, raised a hand suddenly. 看着这些陷入思考的学生们,就在陆舟打算在白板上写下自己的电子邮箱,将这个问题留到课后的时候,阶梯教室后排的角落,忽然举起了一只手。 „...... Can use the blank slate?” “……可以用下白板吗?” Looks to the direction that hand holds up, in the eye of Lu Zhou appeared wiped the accidental/surprised look. 向那只手举起的方向看去,陆舟的眼中浮现了一抹意外的神色。 Had the mentality in some people actually not accidentally/surprisingly quickly. 倒不是意外于有人这么快就有了思路。 But is the accident/surprise in the status of this person. 而是意外于这个人的身份。 Sits in that my dear friend of classroom back row is not others, Princeton University math department head Professor Fefferman who he previously mentioned. 坐在教室后排的那位仁兄不是别人,正是他先前说起的普林斯顿大学数学系主任费弗曼教授。
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