SATS :: Volume #3

#247: The first class of Princeton ( 4 / 4 )


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The public lecture started, the scene had the small accident/surprise. 报告会开始了,现场却出现了一点小小的意外。 …… …… Because, main character Professor Enock of this public lecture, as if absented. 因为,这场报告会的主角伊诺克教授,似乎缺席了。 The atmosphere was very once awkward. 气氛一度十分尴尬。 To be honest, Lu Zhou also doing somewhat was shocked by this accident/surprise, originally he also chats with Professor Enock face to face, finally person? 说实话,陆舟也被这意外给搞得有些愣住了,本来他还和伊诺克教授当面聊聊,结果人呢? Raalte is sweating profusely, mounts the stage to explain: Professor Enock, because some private things have not rushed promptly, me is contacting with him......” 拉尔特满头大汗,上台解释:“伊诺克教授因为一些私人事情没有及时赶到,我这边正在与他联络……” Although the notarization is a very serious topic, but our time are also very precious,” sit in the front of conference site, skin is dark, the position seems like not the low man, with having a discontented sound was saying, I even suspect now, whether Professor Enock really does attach importance to this issue?” “虽然公证是个很严肃的话题,但我们的时间也是很宝贵的,”坐在会场的前排,一位皮肤黝黑,地位看起来不低的男人,用带着一丝不满的声音说道,“我现在甚至怀疑,伊诺克教授是否真的重视这个问题?” To be honest, the black person brothers in North America, do not like the African compatriot very much. 说实话,北美的黑人兄弟,并不是很喜欢非洲老家的同胞。 But considered out of own benefit, they must exhibit to take seriously the attitude. 但出于自身的利益考虑,他们也必须摆出重视地态度来。 Before Raalte volume , the perspiration braves, at heart the fellow who Enock that did not make every effort to succeed cursing more than ten. 拉尔特额前汗直冒,心里却是把伊诺克那个不争气的家伙给咒骂了十几遍。 Must start to speak, must run to eat what hamburger, result that fellow takes ten US dollars to eat the quick two hours not to come back in the past. 都要开始演讲了,非要跑出去吃什么汉堡,结果那家伙拿着十美元过去吃了都快两个小时还没回来。 He pledged, this is he for the last time and locally born Nigerian has to do, this group of people did not speak what contract spirit. 他发誓,这是他最后一次和土生土长的尼日利亚人打交道,这群人根本不讲什么契约精神。 At this moment, the sound outside expectation, conveys from side together. 就在这时,一道预料之外的声音,从旁边传来。 Since Professor Enock a little matter, for does not lose everyone's time, I first come.” “既然伊诺克教授有点事情,为了不耽误大家的时间,还是我先来吧。” The primary cause is, Lu Zhou does not want to waste the time to continue, hurried to end this farce. 主要原因是,陆舟也不想浪费时间继续等下去了,还是赶紧结束这场闹剧吧。 Raalte was shocked. 拉尔特愣住了。 He has not thought, for unexpectedly is this fellow who oneself break through. 他没想到,替自己解围的竟然是这家伙。 However...... 不过…… This fellow, really planned that breaks through for oneself? 这家伙,真的打算替自己解围吗? Just thought time, he has prevented without enough time. 刚这么想的时候,他已经来不及阻止了。 Because Lu Zhou has mounted the platform . Moreover the person under stage obviously also approves this proposition. 因为陆舟已经走上了讲台,而且台下的人明显也认同这一提议。 Raalte very tactful fell back on one side, because he understands, if oneself this time stood, then fell leeward. 拉尔特很识趣的退到了一边,因为他明白,如果自己这时候站出来,便落了下风。 Stands on the platform, Lu Zhou to has not gone to want other too many issues. 站在讲台上,陆舟到也没去想太多别的问题。 To him, public lecture type of thing is familiar and easy. 对于他而言,报告会这种东西早已轻车熟路。 Has not thought that he in the first class of Princeton not in math department building, but in Princeton Hotel in next door. 只是没想到,他在普林斯顿的第一堂课不是在数学系大楼,而是在隔壁的普林斯顿酒店。 Thinks of here, Lu Zhou shakes the head with a smile. 想到这里,陆舟笑着摇了摇头。 Using temporarily as practiced acquiring a skill. 也罢,权当是练手了。 Is responding to in pairs line of sight under stage, he clears throat, says slowly. 回应着台下的一双双视线,他清了清嗓子,缓缓开口说道。 From your eyes, I saw does not trust.” “从你们的眼中,我看到了不信任。” Although under the stage no one spoke, but many people are looking at the watch, or glanced right and left...... 台下虽然没有人讲话,但不少人在看表,或者左顾右盼…… However this is very normal, Lu Zhou is also learned to attend the meeting early is this. 不过这很正常,陆舟也早有料到会是这样。 , He enhanced the volume slightly , to continue to say. 顿了顿,他稍微提高了音量,继续说道。 What because stands before you are an elite who is pasting the Princeton label, but you most do not trust the elite, their personal character or school records, what you long for hearing is these neglected sound. Therefore, I will make a bet, several months, in you most people the ballot, may have cast to Trone named a fatty who scores, because he is only one tries to stand in your angles, the smart person who makes your sounds...... was natural, this was not I wants to say today.” “因为站在你们面前的是一个贴着普林斯顿标签的精英,而你们是最不信任精英的,无论是他们的品德还是学历,你们更渴望听到的是那些被忽视的声音。所以,我敢打赌,过几个月,你们之中可能大多数人都会将选票,投给一个叫特朗谱的胖子,因为他是唯一一个试着站在你们的角度,发出你们的声音的聪明人……当然了,这不是今天我想说的。” Before the speech starts, please remember my nationality, I am a China scholar.” “在演讲开始之前,请记住我的国籍,我是一位华国学者。” Since you so flaunt the political correctness, then I want to ask one, you when believe " Washington Times » statement of only one of the parties, whether because of one side of the story of Caucasian reporter, neglected my voice?” “既然你们如此标榜政治正确,那么我想问一句,你们在听信《华盛顿时报》一面之词的时候,是否因为一名白人记者的片面之词,忽视了我的声音?” The Lu Zhou sound is not loud, but is loud and clear. 陆舟的声音不大,但掷地有声。 Sat the person under stage was all shocked, looked at each other speechless. 坐在台下的人全都愣住了,相顾无言。 Probably...... 好像…… Truly is this? 确实是这样的? By this moment, no one looked at the watch, but looked subconsciously to the platform. 到了这一刻,再也没人去看表了,而是下意识地看向了讲台。 Does not plan to listen to the person of this public lecture, was pulled back the scene. 很多不打算听这场报告会的人,也被重新拉回了现场。 The corners of the mouth of Lu Zhou bring back the happy expression that one trivial cannot be checked. 陆舟的嘴角勾起了一丝微不可查的笑意。 His goal, has projected on. 他的目的,已经打到了。 Raalte expression is gloomy, telephones unceasingly, however telephone that is actually the busy signal. 拉尔特表情阴沉,不断地打电话,然而电话那头却一直都是忙音。 What is this black doing?” “这个黑鬼在搞什么?” Was foul-mouthed, he returned to the cell phone stopper the pocket, looked at one toward the stage on. 骂骂咧咧了一句,他将手机塞回了兜里,往台上看了一眼。 Although his 10,000 want to come up to catch up from the stage this fellow, but he is actually not able to do that. 虽然他一万个想上去将这家伙从台上赶下来,但他却无法这么做。 After all, what inviting him to stand here was he. 毕竟,邀请他站在这里的是他。 But now, he came. 而现在,他来了。 Looks at the audience under stage, Lu Zhou continues to say. 看着台下的听众们,陆舟继续说道。 Today I will not use what very abstruse mathematical symbol probably, will not speak some too the thing that is difficult to understand...... naturally, perhaps will present 1-2 please do not look on as an outsider. After all something can use the popular language description, but some are unable to achieve at my level temporarily.” “今天我大概不会用到什么很深奥的数学符号,也不会讲一些太难懂的东西……当然,没准会出现1-2也请不要见外。毕竟有些东西是可以用通俗的语言描述的,但有些是以我的水平暂时无法做到的。” He does not have Hodgen's level, is unable to use the popular language explanation complex proposition. 他没有霍金的水平,无法用通俗的语言解释复杂的命题。 However some common things, he can discuss. 不过有些常识性的东西,他还是能谈一点的。 Confirmed that each eye under stage is looking at itself, Lu Zhou turns around on the back blackboard, wrote down two lines of mathematical formulas conveniently. 确认台下的每一双眼睛都在看着自己,陆舟转身在背后的黑板上,随手写下了两行算式。 【If not use the Riemann hypothesis, then Pi ( x ) = li ( x) + o( xe ^ \ {- 1 / 15 √ lnx })】 【若不使用黎曼猜想,那么π(x)=li(x)+o(xe^\{-1/15√lnx})】 If Riemann hypothesis establishment, then Pi ( x ) = li ( x ) + o ( √ xlnx ) 【若黎曼猜想成立,那么π(x)=li(x)+o(√xlnx)】 Turns head, Lu Zhou looks to the audience under stage smiles. 回过头去,陆舟看向台下的听众们笑了笑。 Math is a very mysterious thing, the Riemann hypothesis is also a great thing. Although you possibly do not know that I wrote anything, but I can tell you clearly, the first line of formulas are the foundations of theory of numbers, is the so-called prime number theorem. But the second line, was h.von Koch in 1901 based on the Riemann hypothesis tenable condition , an obtained more precise prime number distributed formula, but this formula may not be written on the teaching material, but had been used a century.” “数学是个很神奇的东西,黎曼猜想也是个伟大的东西。虽然你们可能不知道我写了什么东西,但我可以明确告诉你们,第一行公式是数论的基础,也就是所谓的素数定理。而第二行,是h.von科赫于1901年基于黎曼猜想成立的条件下,得到的一个更精确的素数分布公式,而这条公式虽然不一定会被写在教材上,但已经被用了一个世纪。” Similar example, if lets my blackboard writing, I can write over ten, because was really many.” “类似的例子如果让我板书,我能写出十个以上,因为实在是太多了。” As for writing down these two formulas, but thinks some popular science common things.” “至于写下这两条公式,只是想科普一些常识性的东西。” Namely, regarding a big probability tenable suspicion, the mathematics circles widespread method first brings to use. How with? In the opening of paper, first supposed that the Riemann hypothesis establishment, then starts Balla Balla......” “即,对于一个大概率成立的猜想,数学界普遍的做法是先拿来用。怎么用呢?在论文的开头,先假设黎曼猜想成立,然后再开始巴拉巴拉……” Why as for mentioned this suddenly, mainly then to reply the paper of Professor Enock. He proposed one in the paper quite novel, and interesting is very viewpoint, under the Riemann hypothesis tenable condition, regarding the prime number distributed system of Zeta function construction , the Goldbach's conjecture establishment, or the real proposition?” “至于为什么突然说起这个,主要便是为了回答伊诺克教授的论文。他在论文提出了一个相当‘新颖’且很有意思的观点,在黎曼猜想成立的条件下,围绕ζ函数构建的素数分布体系下,哥德巴赫猜想成立,或者说是真命题?” At this point, Lu Zhou stopped the moment, smiles to continue to say. 说到这里,陆舟停顿了片刻,笑了笑继续说道。 Reason that said his viewpoint novel very ‚’, because by 2016, this for a century everyone has to consider this situation, even in fact Hardy and Li Te Wood then proved in the 20's, weak Goldbach under the supposition Riemann hypothesis tenable condition guesses the establishment generally.” “之所以说他的观点很‘新颖’,因为截止到2016年为止,这一个世纪以来大家不是没考虑过这种情况,甚至事实上哈代和李特伍德便在20年代证明了,在假设广义黎曼猜想成立的条件下弱哥德巴赫猜成立。” But pays attention! What I said is generally the Riemann hypothesis, is grh of popular name, with the abbreviation is the Riemann hypothesis of rh, is completely the two kinds thing.” “但注意!我说的是广义黎曼猜想,也就是俗称的grh,和缩写为rh的黎曼猜想,完全是两样东西。” The person under stage look at each other in blank dismay, obviously does not understand significance. 台下的人面面相觑,显然并不理解其中的意义。 Such being the case the words, were not equal to that said the Riemann hypothesis can prove the weak Goldbach's conjecture generally? 既然如此话,不就等于说广义黎曼猜想能证明弱哥德巴赫猜想吗? Then deductive thinking, erases a word respectively, the Riemann hypothesis then can show that the Goldbach's conjecture...... is actually not true. 然后发散思维一下,各自删掉一个单词,黎曼猜想便能证明哥德巴赫猜想……其实并非如此。 Why as , the popular point said that this was similar to using Newton movement theorem calculates that under the speed of light the object quality, understood the little people to know this slightly funnily. 至于为什么,通俗点讲,这大概类似于用牛顿运动定理去算光速下物体的质量,稍微懂一点点的人都知道这有多滑稽。 At this point, Lu Zhou smiles. 说到这里,陆舟笑了笑。 Must say that difference of grh and rh, the light looked that the words of Wikipedia are truly easy to confuse, but this also truly baffled many people branches, therefore return textbook or paper. The popular point said that grh then discussing the object, turned into more representative Dirichlet l function from Riemann Zeta function.” “要说grh和rh的区别,光看维基百科的话确实容易混淆,而这也确实难倒了不少民科,所以还是得回归课本或者论文。通俗点讲,grh便是将讨论对象,从黎曼ζ函数变成了更具广泛性的狄利克雷l函数。” Conceptive issue, must say system nothing more to be said ‚’ words, only then Dirichlet l function, can build above with the weak Goldbach's conjecture reluctantly, even can prove the Goldbach's conjecture from the probability angle...... perhaps but the former, you cannot comprehend to smile, truly is eight bamboo poles cannot hit the side thing, any will have the understood person to the theory of numbers knows.” “概念性的问题没什么好说的,非要说‘体系’的话,也只有狄利克雷l函数,勉强可以和弱哥德巴赫猜想搭上边,甚至可以从概率角度上证明哥德巴赫猜想……但前者,也许你们领悟不到笑点,确实是八竿子打不着边的东西,任何对数论有所了解的人都会知道。” Even if, had known about the theory of numbers history merely.” “哪怕,仅仅是对数论史有所了解。” , Lu Zhou slowed down the tone , to continue to say slowly. 顿了顿,陆舟将语气放缓了点,慢悠悠地继续说道。 What is worth pondering, the 20's is the Goldbach's conjecture is away from grh recent one time, but also is only one time. Because is less than 20 years, or said accurately in 1937, Vinogradoff and Esztermann improved the circle method, in does not draw support from generally the Riemann hypothesis, fully proved big under condition, weak Goldbach's conjecture establishment.” “值得玩味的是,20年代是哥德巴赫猜想距离grh最近的一次,但也是仅有的一次。因为不到20年,或者准确的说就在1937年,维诺格拉多夫和埃斯特曼就改进了圆法,在不借助广义黎曼猜想,证明了‘充分大’的条件下,弱哥德巴赫猜想成立。” Then to 2012, anything can a point Terence Tao, proved odd number can show for sums of the most five prime number. 然后到了2012年,“什么都会一点”的陶哲轩,证明了“奇数都可以表为最多五个素数之和”。 Crossed merely for a year, Herve Gott then completely solved „the weak Goldbach's conjecture, full substantially reduces the digit that this can be calculated. 仅仅过了一年的时间,赫尔夫戈特便彻底解决了“弱哥德巴赫猜想”,将这个充分大缩小成了一个可以被计算的数字。 But this, is separated from the result that grh obtains completely, let alone what rh. 而这,都是完全脱离grh得出的结果,更别说什么rh了。 Actually research theory of numbers history was not difficult to find, the birth of many situation next theorem, first was by mathematician A based on grh or the rh establishment, drew an attractive conclusion 1, attracted everyone's interest. 其实研究“数论史”不难发现,很多情况下一个定理的诞生,都是先由数学家a基于grh或者rh成立,得出一个漂亮的结论一,吸引了大家的兴趣。 Then mathematician B comes out, tries to prove conclusion 1, can not draw support from grh to establish alone. If cannot prove, the mathematician will consider that proves one compared with the conclusion 1 weaker conclusion, in does not suppose under the rh tenable condition, alone establishment. 然后数学家b出来,试图证明结论一,可以不借助grh独自成立。如果证不出来,数学家会考虑去证一个比结论一更弱的结论,在不假设rh成立的条件下,独自成立。 After conclusion 1, 2 and 3...... n came out, everyone looks, well? The theory that the tool of invention and establishes has been able rh to the card, the person who therefore challenges this proposition starts becomes many, Clay Institute probably also rh posts a reward to change into grh. 当结论一、二、三……n出来了之后,大家一看,咦?发明的工具和建立的理论已经能把rh给证了,于是挑战这一命题的人开始变多,克雷研究所大概也会把rh的悬赏换成grh。 Yes, the abstracted history was full of the repertoire. 是的,被抽象的历史就是充满了套路。 But also in such circulation, the civilization can go forward. 但也正是在这样的循环中,文明得以前进。 Can some people the car(riage), pretend non-involvement the thing of relations one with grh, relates on? 会不会有人把车倒着开,将一个已经和grh撇清关系的东西,重新联系上? emmm...... emmm…… Although the work of redundant predecessor is very interesting, what significance but makes? If were a student did that will be taught with the vision of applause probably looks, was worth encouraging. But if a professor or scholar did that will travel together with the concern look probably looks. 重复前人的工作虽然很有意思,但这么做有什么意义吗?如果是一个学生这么做了,大概会被教授用赞许的目光看着,值得鼓励。但如果一个教授或者说学者这么做了,大概会被同行用关爱的眼神看着。 „The Riemann hypothesis is a very important thing, perhaps in the future Clay Institute to the answer that Dr. Enock he will expect, but this and I will have no relations. I only in the simple language, elaborated relations between the Riemann hypotheses and Goldbach's conjecture.” “黎曼猜想是个很重要的东西,也许未来克雷研究所会给伊诺克博士一个他期望的答复,但这和我没什么关系。我仅以通俗的语言,阐述了黎曼猜想和哥德巴赫猜想之间的关系。” Lu Zhou smiles , to continue saying: If this is not very popular, I can also say popularly.” 陆舟笑了笑,继续说道:“如果这还不够通俗,我还能说的更通俗点。” „The prime number in Riemann Zeta function is used to ride, but prime number in the Goldbach's conjecture is used!” “黎曼ζ函数中的素数是用来乘的,而哥德巴赫猜想中的素数是用来加的!” This view is not very accurate, but certainly enough image. 这种说法不够准确,但一定足够形象。 The audience under stage smile. 台下的听众们会心一笑。 As the matter stands, was truly good to understand. 这样一来,确实好理解了许多。 At this point, Lu Zhou stopped the moment , to continue to say with a smile: Why as for said that the Goldbach's conjecture does not have the Riemann hypothesis to be important, because regarding most people, the prime number is used to ride! Meanwhile, these two propositions are not equal, even completely not in one system. This is not my statement of only one of the parties, even if you do not understand the difference of rh and grh, you should also be clear, actually Vinogradoff when proving the three primes theorems did anything.” 说到这里,陆舟停顿了片刻,笑着继续说道:“至于为什么说哥德巴赫猜想没有黎曼猜想重要,因为对于大多数人来说,素数就是用来乘的!与此同时,这两个命题并不等价,甚至完全不在一个‘体系’。这不是我的一面之词,哪怕你不懂rh和grh的区别,你也应该清楚,维诺格拉多夫在证明三素数定理时究竟干了些什么。” However this, is the solid stuff that you want.” “而这,就是你们要的干货。” Under stage completely silent. 台下鸦雀无声。 Looks at that convinced eye in pairs, Lu Zhou knows that has almost been able to start to conclude, then with the sound of telling, made a summary for own public lecture. 看着那一双双被说服的眼睛,陆舟知道已经差不多可以开始收尾了,便用娓娓道来的声音,为自己的报告会做了一个总结。 Some conceptive things, are not a system can go round. The entire math covers in the Peano axioms system, but is not all issues is obvious like the Peano axioms. Especially when you understand it truly, you will discover that obviously is 1 + 1, but 1 + 1 and 1 + 1 = 2 said is actually the completely different things. Obviously is prime number issue, even involvesdistribution, but both eight bamboo poles cannot hit side. ” “有些概念性的东西,不是一句体系就能绕开的。整个数学都笼罩在皮亚诺公理的‘体系’之下,但不是所有问题都像皮亚诺公理一样是显而易见的。尤其是当你真正了解它,你会发现明明是‘1+1’,但‘1+1’和‘1+1=2’说的其实是完全不同的东西。明明都是‘素数’问题,甚至都涉及到“分布”,但两者八竿子打不着边。” As for speaking of me, is far from what great absolutely. I stood on the shoulders of countless giant, saw the present scenery. Venerable Chen's contribution to the big sieve method does not need to raise, benefits greatly to me in Berkeley Branch school and Professor Tao discussion, Herve Gott's paper opened the front door of new world for me, they are the heroes of history, although was remembered by the history possibly only has a name. But their work, are not the short 3 hours can summarize, therefore, I also thanked them.” “至于说到我自己,绝对谈不上什么伟大。我不过是站在了无数巨人的肩膀上,才看到了现在的风景。陈老先生对大筛法的贡献自不必提,在伯克利分校和陶教授的讨论也对我受益匪浅,赫尔夫戈特的论文更是为我打开了新世界的大门,他们都是历史的功臣,虽然被历史记住的可能只有一个名字。但他们的工作,不是短短三小时就能概括的,因此,我也衷心地感谢他们。” Although completes this paper only used for two months, but the concrete work before for a long time is very very long started.” “虽然完成这篇论文只用了两个月的时间,但具体的工作从很久很久以前就开始了。” Although is not the profound thing, the thing that but he with the easy to understand language, knows himself as far as possible said. 虽然不是什么高深的东西,但他尽可能地用通俗易懂的语言,把自己知道的东西都讲出来了。 Although, these words Mr. Raalte do not like listening probably. 虽然,这些话拉尔特先生大概并不爱听。 Lu Zhou has not guessed wrong. 陆舟并没有猜错。 He has even noticed, stands gets angry in platform nearby Raalte both eyes, grips the tight fist to turn green white/in vain, breathless expression. 他甚至已经注意到,站在讲台旁边的拉尔特双目冒火,攥紧的拳头白得发青,气急败坏的表情。 But, this cannot change anything. 但,这并不能改变什么。 The national condition and China in US are different, the root of populist issue will lie in the keeping aloof White House and Wall Street never one to the average person difficult thing, says with the sound that they can understand. 美国的国情和华国不一样,民粹问题的根源在于高高在上的白宫和华尔街从来不会把一个对普通人过于困难的东西,用他们能听懂的声音说出来。 As for reducing and solving this issue method, is actually very also simple. 至于化解这个问题方法,其实也很简单。 Spoke the logical expression on the line. 说人话就行了。 The formula that if he writes in the blank slate today exceeded three lines, tomorrow the New York Times other more influential media, definitely are another style. 如果今天他在白板上写的公式超过了三行,明天《纽约时报》等其他更具影响力的媒体,肯定是另一种画风。 However now, he thought that oneself at least convinced few people. 不过现在,他觉得自己至少说服了一部分人。 Sometimes Lu Zhou discovered, oneself does not know nothing to the politics, the experimentalism and science subjects thought teach his thing, let alone will of the people, even the system does not have the determination logic of showing, he can unravel. 有时候陆舟发现,自己也并非对政治一窍不通,实验主义和理科思维教给他的东西,别说人心了,甚至连系统没有说明的判定逻辑,他都能加以抽丝剥茧。 Perhaps after when he arrived at ten levels, the system then did not have the secret before him. 或许等到他到了十级之后,系统在他面前便不存在秘密了吧。 He believes, on the day of he will see. 他相信,他会看到那一天。 Lu Zhou sighed with emotion one in the heart, put down the chalk gently. 陆舟在心中感慨了一声,轻轻放下了粉笔。 When he puts down that flash of chalk. 当他放下粉笔的那一刹那。 Under the stage is applause one piece...... 台下已经是掌声一片……
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