The office of Princeton Higher Research institute. 普林斯顿高等研究所的办公室。 Sits Lu Zhou before desk, is staring at the three-dimension graphics in computer screen meticulously, the right hand ball pen is having the rough draft on the paper once for a while, puts the left hand on keyboard to keep according to the scaling key. 坐在办公桌前的陆舟,正一丝不苟地盯着电脑屏幕中的三维图形,右手圆珠笔时不时在纸上打着草稿,搁在键盘上的左手不停地按着缩放键。 The data of scanner gun including, had been preserved by him in the Xiao Ai server, but preservation in his notebook, part that but he needs to use. 扫描枪收录的数据,已经被他保存在了小艾的服务器中,而保存在他笔记本上的,只是他需要用到的部分。 Namely, about modified pdms material below carbon nano small ball. 即,关于改性pdms材料下方的碳纳米小球。 The molecular structure of that carbon nano small ball ready-made, but all in addition to Lu Zhou unknown. 那个碳纳米小球的分子结构是现成的,但除此之外的一切对陆舟来说都是未知的。 Mechanics, electricity and other physical properties, the method that the laboratory prepares this carbon nano small ball, these things need he himself to try to find out. 无论是力学、电学等各项物理性能,还是实验室制备这个碳纳米小球的方法,这些东西都需要他自己去摸索。 From the order, through the mathematical modeling, analyzes this material mechanics, electricity and other physical properties, then the jet braking synthesizes the material that this/should carbon nano small ball possibly uses, and through massive experiments, tries to find out a correct method. 从顺序上来讲,通过建立数学模型,分析该材料的力学、电学等物理性质,然后反推合成该碳纳米小球可能用到的材料,并通过大量的实验,摸索出一条正确的方法。 However how about to prepare, Lu Zhou is a clue does not have. 不过关于如何制备,陆舟却是一点头绪都没有。 The big prime numbers of this probably two multiplications, making the multiplication are very simple, so long as you suffice to be bored, in the supermarket buys a calculator to do. But in turn the products of two big prime numbers, dismantles two prime number factors, if the figure of this number surpassed 100, even Super Computer may not achieve. 这就好像两个相乘的大素数,做乘法很简单,只要你够无聊,超市里买个计算器都能做。但反过来将两个大素数的乘积,拆解成两个素数因子,如果这个数字的位数超过了一百,连超算都不一定能做到。 Stopped the pen in hand, the Lu Zhou deep breath the one breath. 停下了手中的笔,陆舟深呼吸了一口气。 At first sight, this carbon nano small ball as if there is cage shape carbon atom variety of hollow orbicular structure to be similar to c60, c50 and c240 these, but if carefully observes, this gadget and these fullerence materials truly have difference essentially. 乍一看,这个碳纳米小球似乎与c60、c50、c240这些具有空心球形结构的笼状碳原子簇类似,但如果仔细观察的话,这玩意儿和这些富勒烯材料确实有着本质上的差异。 First it is not „the spheroid of rule”. 首先一个它不是“规则的球体”。 Possibly some people will say that the fullerence is also irregular, in one crowd of six collars will also present the carbon ring of pentagon and heptagon. 可能有人会说富勒烯也不规则,一群六元环中也会出现五边形和七边形的碳原子环。 However this type of carbon nano small ball, its difference manifests in the molecular point group symmetry, because has not translated the symmetry, it cannot even in Bravais lattice with traditional sense express. 然而这种碳纳米小球,它的差异性是体现在分子点群对称性上,由于没有平移对称性,它甚至不能用传统意义上的布拉维点阵表示。 This small ball seems like by two or more carbon nanomaterials, after dismantling, constructed the new chemical bond in the different materials. 这个小球就好像是由两种或者两种以上的碳纳米材料,拆解之后在不同的材料之间重新构建了新的化学键。 Lifts a vivid granule is, after two wool clews disassemble, rubs in the same place. 举一个形象的粒子便是,将两个毛线团拆开之后重新揉在一起。 If that was true, the possibility that he faces in the chaotic system compared with quantum mechanics will be more uncertain, perhaps only then the Schrödinger cat can untie this issue. 如果真是这样的话,他所面对的可能性将比量子力学中的混沌系统更具不确定性,也许只有薛定谔的猫才能解开这个问题。 This also merely is the issue in Geometry study. 这还仅仅是几何学上的问题。 If returns to the chemistry , the issue that he faces were more. 如果回归到化学中,他所面临的问题就更多了。 Sighed, Lu Zhou patted own forehead, making oneself calm. 叹了口气,陆舟拍了拍自己的额头,使自己冷静了下来。 Issue solutions. 问题还是得一个一个解决。 First most is good at the math that starting from him. 首先从他最擅长的数学开始。 Although the Geometry study is not the domain that he excels, but regarding the knowledge of this domain, he has browse. 虽然几何学并非他所擅长的领域,但对于这个领域的知识,他还是有所涉猎的。 Abstract, this is an analysis situs issue, he needs „cage shape structure spheroid” to dismantle to this does not have the translation symmetrically. 抽象的来看,这是一个拓扑学问题,他需要对这个不具备平移对称性的“笼状结构球体”进行拆解。 Stands up, before Lu Zhou arrived at the blank slate of office, thought a moment later, drew one above by the composite construction cage shape spheroid of point and line constitution, and in labelling by each point the known parameter, built the simple mathematical model simultaneously. 站起身来,陆舟走到了办公室的白板前,思索了片刻之后,在上面画了一个由点、线构成的复合结构笼状球体,并且在每个点旁边标注上了已知的参数,同时建立简单的数学模型。 【Supposes a ∈ x ; f , g ∈ c ( x , y ), if has F to the g homotopy, causes to work as a ∈ a , h ( a , t ) = f ( a )......】 【设a∈x;f,g∈c(x,y),如果存在f到g的同伦,使得当a∈a,h(a,t)=f(a)……】 【......】 【……】 The mathematical formula more writes. 算式越写越多。 Finally stopped the pen, Lu Zhou retroceded two steps, is looking at carefully the mathematical formula that wrote all over half blank slate, is lost in thought. 终于停下了笔,陆舟后退两步,端详着写满半个白板的算式,陷入了沉思。 The situation that he can consider has many types, but always felt that each possibility missed a little. 他能考虑到的情况有很多种,但总感觉每一种可能性都差了那么一点。 At this moment, outside the office heard the sound of footsteps. 就在这时,办公室外传来了脚步声。 Opens the door, held one pack of a4 papers, Vera was walking. 推开门,抱着一叠a4纸,薇拉走了进来。 Saw that Lu Zhou is staring in the blank slate to ponder, she hesitant, finally the decision does not disturb his mentality, arrived by the desk softly, placed on the document his desk, then goes to nearby coffeemaker, helping him make one cup of coffee. 看到陆舟正盯着白板上思考,她犹豫了下,最终决定不打扰他的思路,轻手轻脚地走到了办公桌旁边,将文件放在了他的办公桌上,然后去旁边的咖啡机,帮他泡了一杯咖啡。 Smelled the fragrance of coffee, Lu Zhou then realized that in the office also had a person. 闻到了咖啡的香味儿,陆舟这才意识到办公室里还有一个人。 Then looked to Vera, he spoke thoughtlessly to ask. 回头看向了薇拉,他随口问道。 „What matter has?” “有什么事吗？” „That side educational administration makes me give to you this newborn interview list.” Vera referred to the list on table, supplemented the sentence low voice, „I feared that disturbed you, has not knocked on a door.” “教务那边让我将这份新生面试名单送给您。”薇拉指了指桌上的名单,小声补充了句,“我怕打扰到您了,就没敲门。” „All right, my mentality is not easy to break, so long as leaves pats my shoulder from the back suddenly on the line.” Lu Zhou said with the tone of cracking a joke. “没事,我的思路不是那么容易打断的,只要别突然从背后拍我肩膀就行。”陆舟用开玩笑的语气说道。 Knew after oneself have not disturbed his ponder, on Vera's face showed the enjoyable smiling face. 得知自己并没有打扰到他的思考之后,薇拉的脸上露出了舒心的笑容。 Looked at equation and graph in the blank slate curiously, she continues to ask. 好奇地看了眼白板上的方程和图形,她继续问道。 „What is this?” “这是什么？” „No, idles the issue that is thinking bored.” “没什么,闲着无聊想的问题。” Returns to Lu Zhou before desk, switches off the software that in the computer turned on conveniently, takes up the list to flip sketchily. 回到办公桌前的陆舟,顺手关掉了电脑中打开的软件,拿起名单粗略地翻了翻。 This batch of newborn qualities are good, but the paper surface result does not have the reference value, he will find a time to elect several people to interview. 这一批新生的质量还算不错,不过纸面成绩不具备参考价值,他会抽个时间选几个人面试。 Only the one who makes Lu Zhou quite accidental/surprised is, reported his master, not only the undergraduate math was specialized, non- mathematical specialized student. 唯一让陆舟比较意外的是,报他硕士的不只是本科数学专业相关的,还有非数学专业的学生。 For example some gold/metal big Junior Brother, this scientific should melt specialized, what report is the Fourier inversion issue in his functional analysis direction. 比如某个金大的师弟,本科学的应化专业,报的是他的泛函分析方向中的傅里叶反演变换问题。 Although master cross specialized register not rare matter, but jumps toward the chemistry from the math generally, jumps toward the math from the chemistry is really rare. 虽然硕士跨专业报考并不是什么稀罕的事情,但一般都是从数学往化学跳,从化学往数学跳实属罕见。 When Lu Zhou is glancing through these resumes, stared at the blank slate to look at half-day Vera, suddenly frowns slightly 就在陆舟翻阅着这些简历的时候,盯着白板看了半天的薇拉,忽然微微皱起了眉头 „This three-dimensional structure is very strange.” “这个三维结构很奇怪。” The eyebrow selected selecting slightly, the line of sight of Lu Zhou moved out of the way from the resume, looks to her: „Said your viewpoint.” 眉毛微微挑了挑,陆舟的视线从简历上挪开,看向了她:“说说你的观点。” Vera: „Can I use the pen?” 薇拉:“我可以用笔吗？” Lu Zhou said joyfully: „Naturally.” 陆舟欣然道:“当然。” After being under the permission, before Vera took the symbol pen to arrive at the blank slate . 得到了许可之后,薇拉拿起记号笔走到了白板前。 Thought a moment later, she drew several on the cage shape spheroid of this line between two points constitution, sectioned out pentagon and heptagon, then drew an irregular curve, divided the graph. 思索了片刻之后,她在这个点线构成的笼状球体上画了几笔,标出了其中的五边形和七边形,然后画了一条不规则的曲线,对图形进行了分割。 Mysterious happened. 紧接着,神奇的一幕发生了。 In pull-up and dismantling and reorganization after three-dimensional space change, does not have the translation symmetrical cage shape structure spheroid, was dismantled a structure of round tubular, as well as a translation symmetrical spheroid! 经过三维空间上的拉升和拆解以及重组变化,不具备平移对称性的笼状结构球体,被拆解成了一个圆管状的结构,以及一个平移对称的球体！ Looks at the Geometry graph in blank slate, Lu Zhou gawked slightly , the eye is actually more and more bright. 看着白板上的几何图形,陆舟微微愣了下,眼睛却是越来越亮。 He had considered in innumerable possibilities, has considered the union of spheroid and surface, had considered unifies to the spheroid that many sizes vary, neglected this situation actually only. 他考虑过无数种可能性中,考虑过球体与面的结合,也考虑过对多个大小不一的球体进行结合,倒是唯独忽略了这种情况。 However the transformation is conducted this step, as if stopped suddenly. 不过变换进行到这一步,似乎戛然而止了。 Vera is frowning, how as if is puzzled should work this transformation. 薇拉皱着眉头,似乎在困惑着该如何将这变换进行下去。 However regarding Lu Zhou, the light is this mentality, is then enough. 不过对于陆舟来说,光是这条思路,便已经足够了。 „You simply is a talent......” “你简直是个天才……” Vera gawked slightly, looked at Lu Zhou, looked at the graph after equation and topological transformation in blank slate, somewhat smiles shyly. 薇拉微微愣了下,看了看陆舟,又看了看白板上的方程和拓扑变换后的图形,有些腼腆地笑了笑。 „If can help well......” “如果能帮上忙就好了……” In fact, she thought this graph is very interesting, although seems like a regular spheroid, but the dissymmetry on Geometry, making it feel being out of sorts feeling. 事实上,她只是觉得这个图形很有意思,虽然看起来像个一个规则的球体,但几何上的不对称性,让它充满了违和感。 Because of this being out of sorts feeling, Vera tried to conduct the topological transformation to the graph, finally discovery this graph was a translation symmetrical spheroid and a circular cylinder combines unexpectedly. 因为这违和感,薇拉试着对图形进行了拓扑变换,最后发现这个图形竟然是一个平移对称的球体和一个圆柱体组合的。 In primary Geometry, this is a proposition that is inconceivable. 在初等几何中,这是一个难以想象的命题。 But in throwing develops study, this is actually a very interesting phenomenon. 但在扑拓学中,这却是一个很有意思的现象。 Although she cannot complete this transformation. 虽然她并没能完成这个变换。 Even so, is enough! 但即便如此,也已经足够了！ „Far more than helps! Added on simply busy.” The mentality gushes out like the spring water generally, the Lu Zhou not parsimonious praise, puts out cell phone to photograph to the blank slate, then received the notebook, „I will close up for several days, for these days the duty of office asked you.” “何止是帮忙！简直帮上了大忙。”思路如同泉水一般涌出,陆舟毫不吝啬赞美之词,拿出手机对着白板拍了张照,然后收起了笔记本电脑,“我会闭关几天,这几天办公室的值班就拜托你了。” Got to the office entrance, Lu Zhou thought of anything suddenly, then looked to the little miss, then exhorted one, „right, if some people looked for me, you told him directly my address, making him go to there to look for me.” 走到了办公室门口,陆舟忽然想到了什么,回头看向了小姑娘,接着嘱咐了一句,“对了,如果有人来找我,你直接告诉他我的住址,让他去那里找我。”