WIIC :: Volume #5

#241: Two papers


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Finally was similar.[[( <[” “终于差不多了。[[(〈[” After the people leave, king Qicai relaxes slightly. He by oneself desk, relaxes slightly. 在众人离开之后,王崎才微微放松下来。他靠在自己的书桌上,微微松了口气。 Gained the gradual victory. 取得了阶段性的胜利。 He also has the person to support now. 他现在也不是没有人支持的了。 Regarding king Qi, what outside is the present stage best thigh. In secret Feng Luoyi who mixes the entire immortal pledge although has great power, but his present true body is unclear, has dispatched the immortal pledge in secret all sorts of business. But this traffic control, involved his energy enormously. According to king Qi knows, now Feng Luoyi remaining energy also all on logical this. 对于王崎来说,何外尔就是现阶段最好的“大腿”。暗中调配整个仙盟的冯落衣虽然大权在握,但是他现在真身不明,一直只是暗中调度仙盟的种种事务。而这种调度工作,也极大的牵扯了他的精力。据王崎所知,现在冯落衣剩下的精力也全在逻辑这上面了。 But what outside is different. He calculates the Lord disciple, moreover afterward also went to even/including sect, the mathematical thought of its structurization sends the free and unfettered to be close to Bourbaki School compared with other song courtyards. What outside may support his. Moreover, what outside takes the leader who the song courtyard sends now, has appeared by the true body in ten thousand methods. 而何外尔不同。他本身就是算主的弟子,而且后来还投向连宗,其结构化的数学思想比其他歌庭派逍遥更加接近布尔巴基学派。何外尔是有可能支持他的。另外,何外尔现在作为歌庭派的领军人物,一直以真身出现在万法门当中。 Moreover, he is the song courtyard sends the present leader. 而且,他还是歌庭派现在的领袖。 What outside light/only supports secretly, can do many things. 何外尔光是暗中支持,就可以做很多事了。 Very good, since the external trouble were swept emptied, I can concentrate on above the matter that wants to handle.” “很好,既然外在的麻烦都被扫空了,那我就可以将精力集中在想做的事情之上了。” king Qisong physique, sits positively, takes out the written records, starts to write. 王崎松松筋骨,重新坐正,取出纸笔,开始书写。 New paper. 新的论文。 Very for a long time no feeling. 很久都没有的感觉了。 king Qi the mind is rapidly clear, these in his heart appeared regarding many 11 of ideas of algebraic topology on. Which part he some assurances should not choose to take their first paper at once well. Because he at first when requests itself to ponder, neglects goal, pure ponder structure. 王崎的心灵迅澄澈下来,这几日对于代数拓扑的许多理念在他心中一一浮现。他一时之间有些把握不好应该选择哪一部分作为自己的第一篇论文。因为他最初在要求自己思考的时候,就忽略掉“目的”,单纯的思考结构。 Perhaps this thinking mode, does not suit in the length greatly not long paper middle manifests naturally, this may also is only king Qi does not adapt to this thinking mode greatly. 这种思维方式,或许不大适合在篇幅不长的“论文”当中体现当然,这也有可能只是王崎不大适应这种思维方式而已。 This is the thinking mode of Grothendieck that talent. 这就是格罗滕迪克那天才的思维方式。 Besides changes the cultivating law that the self-awareness and supernatural power coincide, king Qi still expands oneself thought in certain aspects. 除了改变自我意识与法力相合的修法之外,王崎还在某些方面扩展自己的思维。 If some day, he has to by the method breakthrough of existing stage to the Yuan god period, he at least hope that time he has had present his thought. 如果有朝一日,他不得不以现有阶段的法门突破到元神期,他至少希望,那个时候的他已经拥有过现在这个自己的思维了。 Imitates other talents, is very easy to fall into one type not to have the mark to be possible the homing position. Because of other talents, or is the dependence diligently, either is depends upon the inspiration to be natural, there are depends upon both simultaneously. But these, only then Grothendieck in thinking pattern different and world-famous. 模仿其他天才,很容易陷入一种无迹可寻的境地。因为其他的天才,要么就是依靠努力,要么就是依靠灵感当然,也有很多是同时依靠两者。但这其中,只有格罗滕迪克是以“思考方式”的不一样而闻名于世的。 king Qi does not know how now Grothendieck pondered in the past, but, the professional relationship of this phase of historical and his previous generation is very near, he at least is familiar with this phase of history, at least the life path of Grothendieck part. 王崎现在不知道格罗滕迪克当年是如何思考的,但是,这一段历史和他前世的专业关系很近,他至少熟悉这一段的历史,至少格罗滕迪克部分的人生轨迹。 He is deliberately training himself, once changed the thought of entire Earth close to that. 他在刻意训练自己,接近那曾经改变整个地球的思维。 The innumerable issues, present by the new structure king Qiyan. Original these contents of these propositions, mathematical formulas and theorem in king Qiyan, but why does not know, king Qi has one to look at the mountain unexpectedly is not the mountain, looks at the water is not water flavor. 无数的问题,以新的结构呈现在王崎眼中。那些命题、算式、定理在王崎眼中还是原来那些内容,但是不知为何,王崎居然生出一股“看山不是山,看水不是水”的味道。 He knows, oneself seemed away from under theorem broader mathematical framework nearer one step. 他知道,自己似乎距离“定理之下更加广阔的数学结构”更近了一步。 Therefore, he knows fairly well, starts to take pen in hand, first writes down the program. 于是,他心中有数,开始提笔,先写下大纲。 This time, he wants to write two papers. 这一次,他想要写两篇论文。 First was he these days the ponder of simple form odd number analysis situs domain. 第一篇是他这些日子对单形单数拓扑这个领域的思考。 Shape is calculates one concept that Monarch Pang Jia put forward, assembling of one group of crystal faces was related by the symmetry element. The regular tetrahedron, cube and octahedron, more complex duplicate/restores four directions leaning triangle hedron and folk prescription duplicate/restores dodecahedron, are the geometric simplex. This simple form has 47 types. “形”是算君庞家莱提出的一种概念,是由对称要素联系起来的一组晶面的总合。正四面体、立方体、八面体,还有更加复杂的复四方偏三角面体、偏方复十二面体,都属于几何单形。这种单形有四十七种。 The shape is the most basic construction of how much at least in calculating Monarch eyes is this. 形就是几何的最基本构建至少在算君眼中是这样的。 But research simple form all sorts of natures, and by highly abstract metaphysical algebra performance, are the simple form algebraic topology. 而研究单形种种性质、并以高度抽象的形而上代数表现的,就是单形代数拓扑。 Also is one neglects the concrete geometric figure, completely with concept kind of language inquisition all sorts of mysterious divisions/disciplines. 也就是一门忽略具体的几何图形,完全用“概念”一类的语言探究其中种种奥妙的学科。 With metaphysical displacement physical, with abstract displacement concrete, with concept displacement operation. 用“形而上”代替“形而下”,用“抽象”代替“具体”,用“概念”代替“运算”。 This is standard left a mentality. 这就是再标准不过的离宗思路了。 The sect, the member will regard it continually is the evil way. 只是在连宗这边,修士们就会视之为邪道。 Although the algebraic topology calculates that Monarch creates. Regarding calculating Monarch, this is only he studies multi-dimensional calculates Problems of three bodies and N body issue Sideline product. 尽管代数拓扑就是算君创造的。对于算君来说,这只是他研究“多元之算”【三体问题、n体问题】的副产品。 When the preliminary calculation is main, depends on this type to the mentality, solved a special issue. 当初算主年轻的时候,就凭这种离宗思路,解出了一个特殊的问题。 This issue calls makes invariable source to ask, is one of the arithmetic branches. To homogeneous polynomial that any one assigns, whether can display is several invariants? Are the total of these invariants limited? Between do this limited invariants or the name basic invariants, have the relation? 这个问题唤作“不变之源问”,乃是算学分支之一。试问,对任一给定的齐次多项式,是否都能表现为数个不变式?这些不变式的总数是否是有限的?这有限的不变式或称基本不变式之间,是否存在联系? At that time, another member relied on the solution this issue to endure the broken last pass/test, the achievement was free 【Before demon sovereign is chaotic,. The conclusion that at first has the member who charge draws to this issue is when the multinomial number of times is bigger than eight, not possible to solve with the limited invariant. However, that member actually corrected this mistake. He can show that random both variable form invariants can turn into the most basic invariant. His proof process was almost a book, but listed the innumerable concrete formulas, making one be sincerely convinced. 当时,另一位修士正是凭借解得这个问题而堪破最后一关,成就逍遥【魔皇之乱前】的。最初向这个问题起冲锋的修士得出的结论是当多项式的次数大于八时,就不可能用有限的不变式解出。但是,那位修士却修正了这个错误。他可以证明任意两变元形式的不变式都可以变成最基本的不变式。他的证明过程几乎就是一本书了,但是列出了无数具体的公式,让人心服口服。 This member, was called as constant king at that time pill. 这位修士,当时就被人称作“恒常王”葛丹。 But calculates that Lord actually only used very short process, proved this point. He like the constant king of senior, a formula does not wrap a formula, step by step through the concrete formula, the proof process about invariant will write down. Calculates that the Lord past years left by way of the fundamental theorem, conducts the basic logical calculation. The entire process has not involved any concrete inequality, has no specific digit. 而算主却只用了非常短的过程,就证明了这一点。他不像前辈的恒常王那样,一个公式套一个公式、一步步通过具体的式子,将关于不变式的证明过程写下来。算主当年只是经由基本定理出,进行基本的逻辑推算。整个过程没有涉及到任何具体的不等式,也没有任何具体的数字。 Has been honored as constant king pill also panic-stricken calling out in alarm: This does not calculate! Profound!” 就连已经被人尊为“恒常王”的葛丹也惊恐的惊呼:“此非算也!玄哉!” This is not the arithmetic, this is the profound studies! 这不是算学,这是玄学啊! Crossed for more than ten 20 years later, the member also gradually were used to this marvelous proof law. At this time, constant king Cai changed a statement, hmph hmph is saying anything most profound, numerous wonderful gate and so on words. 过了十几二十年之后,修士们也逐渐习惯了这种奇妙的证明法。这个时候,恒常王才改口,哼哼的说着一些什么“玄之又玄、众妙之门”之类的话。 But this certificate, is calculates when the lord treads the broken day closes the deeds. 而这一次证明,也是算主踏破天关时的事迹。 Also resembles with the present king Qi experience. Just, is actually only the mind vacillates by the senior who the young calculation lord attacks the spirit. Constant king not wrong, he does not have present one shortcut the specific thought to be able the present shortcut. 和现在王崎的经历也是非常相像。只不过,被年轻的算主冲击到精神的前辈却只是心灵动摇罢了。恒常王自身并没有错,他只是没有现一条“捷径”只有特定思维才能现的捷径。 But king Qi completely denied calculated the Lord faith. 而王崎则是彻底否定了算主的信念。 Mentioning is also very strange, king Qi denied although Lord, but thought as before calculates Lord that person, compelling the standard to be full, even often to calculate that the Lord past deeds drive, is thinking which day I, if can also entrain is good.”. 说来也很奇怪,王崎尽管否定了算主,但是依旧觉得算主其人,逼格满满,甚至常以算主当年的事迹激励自我,想着“哪一天我要是也能这么拽就好了。”。 This also to sect in the divine land immortal first blooming brilliance. 这也就是离宗在神州仙道第一次绽放光彩。 But Grothendieck, on the ratio calculates that the Lord past thought was more extreme. The talent on this Earth did not even care that what specific issue, he studies the math, then solves the problem while convenient. 而格罗滕迪克,就比算主当年的思维更加极端了。这位地球上的天才甚至不关心什么具体的问题,他只是研究数学本身,然后顺便解决解决问题。 Quick, the first paper finished. 很快,第一篇论文就写完了。 king Qi has looked back, shakes the head to laugh in spite of trying not to: This writes, an entire chapter is the verbose thing, it is estimated that also no one likes looking.” 王崎回过头看了看,摇头失笑:“这写的,一整篇都是絮絮叨叨的东西,估计也没人爱看啊。” His piece of paper can be called is logically well-knit, the thinking process is linked together. However the common ten thousand method disciple eyes were saying probably verbosely a big idle talk, cannot understand. 他这一片论文称得上是逻辑严密,思维过程环环相扣。但是在一般的万法门弟子眼就好像是絮絮叨叨的说了一大篇废话,根本就看不懂。 This is only the one summaries of king Qi these days thoughts. 这只是王崎这几日思维的一种总结。 Then, second that king Qi starts to take pen in hand to write. 然后,王崎开始提笔写的第二篇。 This second is good to write compared to first. This paper is mainly the introduction one mathematical instrument that is displayed by the algebraic topology. 这第二篇相对于第一篇来说就好写很多。这一篇论文主要是介绍由代数拓扑展出的一种数学工具。 Level theory. 层论。 With first introduced the paper that own thought is different, the paper that this type introduced some type of mathematical instrument had very concrete direction since birth. 和第一篇介绍自己思想的论文不同,这种介绍某种数学工具的论文生来就有很具体的方向。 So long as the direction is concrete, conclusion is concrete, can very simple writes a paper of limited length. 而只要方向具体、结论具体,就可以很简单的写出一篇有限篇幅的论文。 During Grothendieck life quotation number many papers, is this nature. 格罗滕迪克一生当中引用数最多的论文,也是这种性质的。 king Qi closes the eye, ferments in the heart, then opens. 王崎闭上眼睛,在心中酝酿一下,然后睁开。 . 唰唰唰。 «New Description Topological space One Kind of Mapping».” “《新道器描述拓扑空间的一类映射》。” «Cohomology And Spectrum Sequence of Level».” “《层的上同调与谱序列》。” This topic, was divided into high and low two to explain.” “这个题目,还是分为上下两篇来解释好了。” The first preliminary definition level, second on the other all sorts of definitions, natures and concept introduction level. 第一篇初步定义层,第二篇就引入层的其他种种定义、性质、概念。 Differentiation...... mapping......” “分化……映射……” With king Zaki's writing, his merit law has the slight change again. As king Qi the within the body innumerable operators certain rule differentiation, then his within the body strength ripples, the gradual differentiation, faint between forms the new circulation. 随着王崎的书写,他的功法再一次产生些微变化。王崎体内无数算符随着一定规律分化,然后他体内力量荡漾,逐渐的分化,隐隐之间形成新的流转。 Compared to the highly abstract concept, this kind of thing is easiest to be changed to the actual practicing method. 相对于高度抽象的概念来说,这一类东西最容易被转化为实际的修行手段。 Let alone, these maths still have the actual utilization in the states of aggregation and gauge field these two state-of-art physics domains. 更别说,这些数学还在凝聚态、规范场这两个尖端物理学领域有实际的运用。 Regarding king Qi, transforms to be able very simple into own cultivating is. 对于王崎来说,转化一下就可以很简单的化入自己的修为。 ...................................................................................................................................................... …………………………………………………………………………………………………………………………………… Two days in a hurry. 两天的时间匆匆而过。 The next day at noon, ahead of time received the notice these communicator to arrive at king Qi main house gate long time ago. Was close to hundred people of teams regarding this, king Qi smiles, refers to discharging the good furniture in the entrance, said: „, Sits.” 第二天中午,提前接到通知的那些“交流者”们早早就来到了王崎家门口。对于这接近百人的队伍,王崎笑了笑,指了指在门口排放好的桌椅,道:“诸位,坐。” Zhao Qingtan feels king Qi, although the spirit is weary, however aura actually gives him one type being as deep as a well feeling. He is somewhat encouraged, asks: king Qi, do you have progressive?” 赵清潭感觉王崎虽然精神疲倦,但是身上的气息却给他一种“高深莫测”的感觉。他有些振奋,问道:“王崎,你又有进步?” Slight progress, is not worth mentioning.” “些微进步,不足挂齿。” Regarding king Qi , but is the small branch that above Bourbaki School huge system oneself extract, but others actually hear to be encouraged. 对于王崎来说,自己所求出的,不过是布尔巴基学派这个庞大体系之上的小小枝桠,但是其他人却听得振奋。 This fellow, added that what temporarily does a work of foundation, studies one, doesn't this have the achievement? 这家伙,还说什么“暂时做一点基础的工作,学习一个”,这不是有成果吗? Follows he to do, will not always have the mistake. 跟着他干,总不会有错的。 king Qi clears throat, said: I also considered. One batch of fixed person exchanges, are good to everyone. However, reason that everyone gathers together discussed that is also because we each other are congenial. However, I always the untrustworthy will of the people, no one know that which people had to change the idea in which day. In order to be insufficient everyone parts on bad terms, therefore we discussed before , must make a regulation to come not to have the opinion.” 王崎清了清嗓子,道:“我也考虑了一下。有一批固定的人交流,对大家都有好处。不过,大家之所以聚在一起讨论,也是因为我们彼此志趣相投。但是呢,我向来信不过人心,谁都不知道有哪些人会在哪一天变了想法。为了不至于大家不欢而散,所以咱们讨论之前就要做出一个章程来诸位没有意见吧。” People spirit one cold. 众人精神一凛。 Played the meat to come.( To be continued.) 8 戏肉来了。(未完待续。)八
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