SATS :: Volume #7

#609: The proof of existence of solution


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In the afternoon. 下午。 Stepped on the attending class ting to enter the classroom, looked at the eye being bustling and filled with people classroom, Lu Zhou smiled was making the simple and clear prologue, then started in his life first to calculate the material science class. 踩着上课铃声走进了教室,看了眼人头攒动的教室,陆舟微笑着做了个简单而清晰的开场白,然后便开始了他人生中第一堂计算材料学课。 Actually, the strict sense, calculates material science this class is not at should melt specialized must study in the curriculum, mathematical knowledge as well as programming foundation that needs to involve, at the level of undergraduate student was too difficult. 其实,严格意义上来讲,计算材料学这门课并不在应化专业的必学课程里,其中需要涉及到的数学知识以及编程基础,以本科生的水平而言还是太难了点。 However with the development of computer technology, calculates the material science existence feeling to be getting stronger and stronger, as well as Lu Zhou oneself the position of founder in this emerging division/discipline, causing this class to force in actually chose in the class specially, moreover that must choose. 然而随着计算机技术的发展,计算材料学的存在感越来越强,以及陆舟本人在这门新兴学科中奠基人的位置,导致这门课硬是被塞进了专选课里,而且还是必选的那种。 After all Jinling University runs a school so many years, won such a Nobel prize. By Lu Zhou not blocking, was only fearing that this statue set upright. 毕竟金陵大学办学这么多年,也就出了这么一个诺贝尔奖。诺不是被陆舟给拦着了,只怕这雕像都竖起来了。 However, actually the school wants actually. 不过,其实学校倒是想多了。 Even if no „to choose this setting, he does not need to be worried condition that completely meets no one to attend class. 就算没有“必选”这层设定,他也完全不需要担心会没人来上课的状况。 Sits in the classroom may, not only gold/metal big scholar, even takes the subway to catch up to rub the class study tyrant from Dongda specially, and even makes the theoretical chemistry and professor of nanomaterials wait direction research. Even after most people attend a lecture, will complain one in the social network well difficult and being able to understand, but in fact is who earnest the person attended a lecture to take the note, was overwhelming majorities...... 坐在教室里的可不只是金大的学子,甚至还有专程坐地铁从东大那边赶来蹭课的学霸,乃至做理论化学、纳米材料等等方向研究的教授。即便大多数人听完课之后都会在社交平台上抱怨一句“好难”、“听不懂”,但事实上认真在听课做笔记的人,还是占据了绝大多数的…… Put out 120 the spirit to finish attending this class, amid an applause, Lu Zhou left the classroom. 拿出一百20的精神上完了这堂课,在一片掌声中,陆舟离开了教室。 Stood looked at cell phone on the corridor, saw the time also early, therefore he then turned around a office in number institute. 站在走廊上看了眼手机,见时间还早,于是他便转身去了一趟数院的办公室。 When he comes to the office, his several students and assistants here. 当他来到办公室的时候,他的几个学生和助理都在这里。 For these days although he has not come to the office to beam with joy, but his several student or every day had to insist on the going out on duty punch-. 这几天他虽然没有来办公室露过脸,但他的几个学生还是每天都有坚持出勤打卡。 Arrived in own position to sit down, looks at the eye clean neat desk, Lu Zhou put out a hand to turn in nearby folder, had not actually found the thing that oneself want to look, therefore spoke thoughtlessly to ask. 走到了自己的位置上坐下,看了眼干净整齐的办公桌,陆舟伸手在旁边的文件夹里翻了下,却是没找到自己想找的东西,于是随口问道。 „Do I place the scratch paper on table?” “我放在桌上的草稿纸呢?” Hears the inquiry of Lu Zhou, assistant Zhao stands up hastily: I, when helps you reorganize the desk, placed in your drawer.” 听到陆舟的询问,赵助理连忙站起身来说:“我在帮您整理书桌的时候,放在您的抽屉里了。” Lu Zhou: Un, after thanking......, my table did not need to reorganize for me, making it maintain the original condition to be good.” 陆舟:“嗯,谢谢……不过以后我的桌子就不用替我整理了,让它保持原貌就好。” Zhao Huan nodded to say embarrassed: Good professor, I will pay attention.” 赵欢不好意思地点头说:“好的教授,我会注意的。” Discovered that scratch paper from the drawer, Lu Zhou cleaned it on the table, looks that several lines of one week ago several lines of mathematical formulas that wrote down thought deeply about a while, then followed its behind to continue to write. 从抽屉里找出了那张草稿纸,陆舟将它展平在桌上,看着那几行一个星期前写下的几行算式思索了一会儿,然后便顺着它的后面继续写了下去。 Looked at one in the Lu Zhou direction, previously in Feng promote of bending over one's desk composing hesitant, finally sets firm resolve, stands up to walk toward him. 朝着陆舟的方向看了一眼,先前在伏案写作的冯晋犹豫了一下,最终还是下定了决心,站起身来向他走了过去。 Professor.” “教授。” Looks to stand in desk nearby student, happy Lu Zhou spoke thoughtlessly to ask the sentence said: What's wrong?” 看着站在办公桌旁边的学生,心情不错的陆舟随口问了句说:“怎么了?” That issue...... do you want to come out?” “那个问题……你想出来了吗?” Lu Zhou smiles: „Did you look on my paper something?” 陆舟笑了笑说:“你看了我纸上些的东西?” Feng promote somewhat awkwardly flexure cheeks: I did not look at the eye carefully......” 冯晋有些尴尬地挠了挠脸颊:“我不小心看了眼……” Looked at the awkwardness on eye his face, Lu Zhou had not said anything. 看了眼他脸上的尴尬,陆舟也没说什么。 Actually he cared about Feng promote to peep actually not very much the thing on oneself scratch paper. 其实他倒不是很在意冯晋偷看了自己草稿纸上的东西。 After all if any important thing, oneself will not lose casually on the table, even if not hide, will at least also force in the drawer to put. 毕竟若是什么重要的东西的话,自己也不会随便丢在桌上,哪怕不藏起来,至少也会塞进抽屉里放着。 Then? Was studying for a week to that issue?” “然后呢?对着那个问题研究了一个星期?” „......,” Looks Lu Zhou that does not care about, in Feng Jinxin relaxes at the same time, somewhat flexure the back of the head, my trial thought ashamed for a week, but a clue does not have.” “……嗯,”看着不怎么在意的陆舟,冯晋心中松了口气的同时,有些惭愧地挠了挠后脑勺,“我试者想了一个星期,但一点头绪都没有。” Does not have the clue to be very normal, if you can come out that issue solution, do not study for what master, comes directly, when taught.” “没有头绪很正常,你要是能把那个问题解出来,也别读什么硕士了,直接来当教授得了。” Hears these words, Feng promote smiles awkwardly. 听到这句话,冯晋尴尬地笑了笑。 Comes up to challenge Yang Mills equation, he acknowledged himself, truly a little inflation. 一上来就挑战杨米尔斯方程,他承认自己,确实有点膨胀了。 Looks at the expression on his face, guessed correctly probably his idea, Lu Zhou smiles to continue: Said you this week of feelings with me.” 看着他脸上的表情,大概猜到了他的想法,陆舟笑了笑继续说:“和我说说你这一个星期的感想。” Feng promote gawked slightly under: Feelings?” 冯晋微微愣了下:“感想?” Lu Zhou: Right, since you said that oneself pondered for a week, no matter that can think that solves the problem the mentality, can think of something? Do not tell me you to the scratch paper of office, made a doodle of pile of no significance.” 陆舟:“没错,既然你都说了,自己思考了一个星期,那么不管能不能想到解决问题的思路,总得还是能想到一些的东西吧?别告诉我你只是对着办公室的草稿纸,做了一堆没什么意义的涂鸦。” Feng promote face became flushed, argued: „It is not the doodle, I have earnestly in the ponder.” 冯晋地脸涨红了下,争辩道:“才不是涂鸦,我也是有认真在思考的。” The eyebrow selected selecting, Lu Zhou asked: For example?” 眉毛挑了挑,陆舟问道:“比如?” For example......” wants to say and fear that Lu Zhou laughs at itself, Feng promote hesitant, finally clenches teeth, said the tentative plan in oneself heart boldly, according to me the understanding the quantum mechanics, classics Yang Mills Field is massless, however the medium granule of strong interaction can actually have the quality. In this case, if we introduce scalar field in a time and space manifold, this issue may be simpler.” “比如……”想说又怕陆舟笑话自己,冯晋犹豫了下,最终还是咬了咬牙,大胆说出了自己心中的设想,“根据我对量子力学的了解,经典杨米尔斯场是无质量的,然而强相互作用的媒介粒子却是可以有质量的。在这种情况下,如果我们引入一个在时空流形上的标量场,这个问题或许会简单一些。” The Lu Zhou applause nods: Good.” 陆舟赞许地点了点头:“不错。” Feng promote looks at Lu Zhou accidentally/surprisingly, never expected that he will actually praise himself. 冯晋意外地看着陆舟,没想到他竟然会夸奖自己。 Lu Zhou: „Have you studied independently the quantum mechanics?” 陆舟:“你自学过量子力学?” Hears these words, some accident/surprise pleasantly surprised Feng promote, were despondent immediately. 听到这句话,原本还有些意外惊喜的冯晋,顿时就抑郁了。 Must come to teach to praise own idea not, knowledge to the attitude that the extracurricular knowledge prepares a lesson ahead of time...... 要来教授夸得并不是自己的想法本身,知识自己对课外知识提前预习的态度罢了…… Looks Feng promote who nods reluctantly, Lu Zhou smiles suddenly, said: You reminded me of a person.” 看着勉强点了点头的冯晋,陆舟忽然笑了笑,说道:“你让我想起了一个人。” Feng promote gawked slightly , the subconsciousness asked: „...... Who?” 冯晋微微愣了下,下意识问:“……谁?” „I have led in Princeton a student, now reads probably abundantly in Witten there, the direction that he chooses is the mathematical physics. You is a bit like in the character very much, compared with being stronger.” “我在普林斯顿带过的一个学生,现在大概在威滕那里读博,他选的方向是数学物理。你们在性格上有一点很像,都比较要强。” Then, the time really crosses well quickly, in an instant he has left job from Princeton for more than one year. 说起来,时间真的过得好快,转眼间他都已经从普林斯顿离职一年多了。 Also does not know his students present how. 也不知道他的学生们现在过的如何。 Qin Yue is still the instructor in Princeton now probably, a while ago they still had exchanged the issue in theory of numbers in the mail. 秦岳现在大概仍然在普林斯顿当讲师,前段时间他们还在邮件中交流过数论方面的问题。 Vera...... 薇拉…… The look somewhat subtle non- nature, Lu Zhou coughed lightly, ended this topic. 神色有些微妙的不自然,陆舟轻咳了一声,结束了这个话题到。 Pulled far, returned to the previous topic, the objective appraisal, your idea in some sense was not very major problem.” “扯远了,回到先前的话题,客观的评价,你的想法从某种意义上来说是并没有很大的问题。” Hears this saying, Feng promote asked immediately excitedly: Really?” 一听到这话,冯晋顿时激动问:“真的?” „...... First leaves anxiously happily, I said that does not have very major problem merely,” saw with own eyes a Feng promote face exciting appearance, Lu Zhou continues saying that „, however in Physics, without the issue not necessarily then means correctly.” “……先别急着高兴,我所说的,仅仅是没有很大的问题而已,”眼见冯晋一脸激动的样子,陆舟继续说道,“然而在物理学中,没有问题并不一定便意味着正确。” Doesn't mean correctly......?” “并不意味着……正确?” Right,” looks at Feng promote there, the Lu Zhou expression commends nods, and other days you can understand truly, the meaning of these words I said that the truth and your distance were very near.” “没错,”看着愣在那里的冯晋,陆舟表情略带赞许地点了点头,“等哪天你能真正理解到,我说的这句话的含义,真理与你的距离就很近了。” ...... …… Has brought late 6 o' clock in the school. 在学校一直带到了晚六点 When Lu Zhou returns to the home from the school, outside weather basically already deeply. 陆舟从学校返回家中时,外面的天色基本上已经深了。 Enters the changed beyond recognition study room directly, pushed the chair to sit down, he took the pen peacefully, started for the proof that the morning has not completed, made the final conclusion. 径直走进已经焕然一新的书房,拉开了椅子坐下,他安安静静地拿起了笔,开始为早上尚未完成的证明,做最后的收尾。 Sometimes, mathematical problem such mysterious. 有时候,数学问题就是这么的神奇。 After a mentality walks passes, and can foresee to continue, the following process is the successful matter. 当一条思路走通之后,并且可以预见地能够继续走下去,后续地过程便不过是水到渠成的事情罢了。 Finished the last line of mathematical formulas, looks at that pack of scratch papers, the corners of the mouth of Lu Zhou brought back an enjoyable smiling face. 写完了最后一行算式,看着那叠草稿纸,陆舟的嘴角勾起了一丝舒心的笑容。 Although is not the decisive achievement, but at least can as the periodic result of taking acts. 虽然算不上决定性的成果,但至少能作为一个拿得出手的阶段性成果了。 Namely, uses the method of math, showed the existence of Yang Mills soluation of equation. 即,运用数学的方法,对杨米尔斯方程解的存在性进行证明。 As about Yang Mills equation millennium difficult problem , the first part of first half festivals, this issue actually has no challenging to him. 作为关于杨米尔斯方程的千禧年难题中,第一部分的上半节,这一节的问题对他来说其实没什么挑战性。 Although when solving this problem, he also used some mathematical skills, but did not have the innovative method. 虽说在解决这个问题时,他也用到了一些数学技巧,但并不存在创新性的方法。 Basically, core component of entire proof, the l manifold of regarding him when solving the ns equation problem pondering over launches. 基本上,整个证明的核心部分,还是围绕着他在解决ns方程问题时琢磨出来的l流形而展开的。 However in any event, this issue was the solution. 不过无论如何,这个问题都算是解决了。 , Then was asks General solution to Yang Mills equation next again...... 再下一步,便是对杨米尔斯方程求通解了…… Compares independent solution existence of existence proof, part of issues, without a doubt more challenging many...... 相比起单独的解的存在性的证明的存在,这一部分的问题,毫无疑问更有挑战性的多……
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