SATS :: Volume #2

#137: Equilibrium problem in Hilbert space


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The food had not finished eating rests to compel two, must sing, then cannot sing. 饭还没吃完就歇逼了两个,原本还要唱歌的,这下也唱不了了。 Lu Zhou for flying Elder Brother first tent/account tying, was then putting up Liu Rui with Huang Guangming two, hauled back the bedroom this boy. 陆舟替飞哥先把帐给结了,然后和黄光明两个架着刘瑞,把这小子拖回了寝室。 To flying together the elder brother, has the beautiful woman to look, tonight while the feeling of being drunk, yields with a show of reluctance mostly, does not come back...... 至于飞哥,有美人照顾,今晚多半是趁着醉意,半推半就,回不来了…… After returning to the bedroom, two single dogs spread a cushion to Liu Rui on the ground, then with the lid of quilt on toward him, was arranges. 回寝室后,两个单身狗给刘瑞铺了张垫子在地上,然后拿张被子往他身上一盖,便算是安排好了。 Huang Guangming climbs up the ladder, lies down toward the bed on, without after a while, then kept sighing. 黄光明爬上梯子,往床上一躺,没过一会儿,便长吁短叹了一声。 Uncomfortable, elbow.” “难受啊,肘子。” Has not drunk many, the mind is also maintaining sober, is preparing to graduation thesis selected topic Lu Zhou speaks thoughtlessly the sentence: What to be uncomfortable?” 没喝多少,头脑还保持着清醒,正准备给毕业论文选题的陆舟随口回了句:“难受啥呀?” Yeah, saw that flew Elder Brother to take off/escape the list, didn't you have an idea?” “哎,看到飞哥都脱单了,你就没一点想法吗?” „...... What idea?” “……啥想法?” Huang Guangming sighed: Considers as finished, does not have the common language.” 黄光明叹气道:“算了算了,没有共同语言。” Lu Zhou:......? 陆舟:……? A night does not have the words. 一夜无话。 Next morning, flies Elder Brother not to come back, it is estimated that this little while also immerses in land of warmth and tenderness is unable to extricate oneself. 第二天早上,飞哥还没回来,估计这会儿还沉浸在温柔乡无法自拔。 Lu Zhou gets out of bed, goes to the balcony to clean the teeth to wash the face. 陆舟下床,去阳台上刷牙洗脸。 When he comes back to discover just in time, Liu Rui of lying down ground crawled, Huang Guangming on lying down bed also had the tacit understanding very much crawled. 当他回来正巧发现,躺地上的刘瑞爬了起来,原本躺床上的黄光明也很有默契的爬了下来。 Lu Zhou asked the sentence unusually: Today so to be how diligent, studies by oneself?” 陆舟稀奇地问了句:“今天咋这么勤奋,都去自习?” Huang Guangming is having the yawn, a margin the cleaning the teeth cup is walking toward the balcony, at the same time returns said: Otherwise? Waits to fly Elder Brother to come back to install to compel?” 黄光明打着哈欠,一边端着刷牙杯子往阳台上走,一边回道:“不然嘞?等飞哥回来装逼?” Lu Zhou imagined a that picture, the expression is somewhat subtle. 陆舟想象了一下那画面,表情有些微妙。 Good, so that's how it is, understood. 好吧,原来如此,懂了。 ...... …… Had the breakfast in the cafeteria, Lu Zhou had shaken the entrance of library slowly. 在食堂吃过了早饭,陆舟慢悠悠地晃到了图书馆的门口。 At this moment, in the open area before library gate, is the sea of people. 此时此刻,图书馆门前的空地上,已是人山人海。 The old exams for postgraduate schools army has liberated, the new a group of exams for postgraduate schools armies are ready and waiting. This mighty force crosses the feeling of single-plank bridge, by Lu Zhou of school ordered by the emperor personally graduation, had been feared did not have the opportunity to realize. 旧的考研大军已经解放,新的一批考研大军正整装待发。这种千军万马过独木桥的感觉,已经被学校钦定毕业的陆舟,怕是没机会体会到了。 Yeah, the life one big regrets. 哎,人生一大遗憾啊。 As the tide of people spilled into the library, Lu Zhou looked for a remote position to sit down, opens the documents of blank, the preparation started to write the graduation thesis. 随着人潮涌进了图书馆,陆舟找了个偏僻的位置坐下,打开了空白的文档,准备开始写毕业论文。 The topic he has elected. 题目他早就已经选好了。 The math is a research tool, tempering this is no doubt useful the tool, but if stays to the mathematical level, that rather also too wasted oneself this talent. 数学是一门科研工具,磨砺这把工具固然有用,但如果只是停留在对数学层面,那未免也太浪费了自己这身才华。 Since has decided to advance to mathematical physics big hole the foot, Lu Zhou chose the functional analysis to take oneself graduation thesis decisively the direction. But this aiming no longer is the DFT, but is the unpredictable Hilbert space. 既然已经决定将脚迈向数学物理这个大坑,陆舟果断选择了泛函分析作为自己毕业论文的方向。只不过这次瞄准的不再是傅里叶变换,而是变幻莫测的希尔伯特空间。 In the quantum mechanics, the condition has infinite many, therefore the inner product space dimension is infinity. When related to the issue of restraining, certain parameters takes infinity is infinity, for does not make any state of matter run the space to go, therefore in the math needed any sequence the limit still in the space, namely the request space was complete. 在量子力学中,状态有无穷多个,所以内积空间维数无穷大。无穷大涉及收敛的问题,某些参数取无穷大时,为了不让任何一个物理态跑出空间去,所以数学上需要任何一个序列的极限仍在空间内,即要求空间完备。 But the Hilbert space, then met the need of quantum mechanics exactly. 而希尔伯特空间,便恰好满足了量子力学的这一需求。 A physical system can be indicated by a duplicate/restores Hilbert space, but in which vector is to then describe the system possible condition wave function. 一个物理系统可以被一个复希尔伯特空间所表示,而其中的向量便是描述系统可能状态的波函数。 Although has to the Hilbert space related concept in the functional analysis of undergraduate stage had said that but remains at some shallow stages. In the frontier of math, the Hilbert space is one is like the DFT, can be carried to discuss as a research direction alone. 虽然在本科阶段的泛函分析中对希尔伯特空间相关概念有过介绍,但都只是停留在一些粗浅的阶段。在数学的前沿领域中,希尔伯特空间是一个和傅里叶变换一样,可以被单独拎出来作为一个研究方向去讨论的。 This graduation project, Lu Zhou not according to the standard of undergraduate student, but will do according to the standard of Journal contribution, does cannot complete and does not go to the manages, using temporarily as one time is practiced acquiring a skill! 这次毕业设计,陆舟不会按照本科生的标准,而是会按照期刊投稿的标准来做,做不做得好且不去管,权当是一次练手吧! Recalls these references that were reading a while ago, Lu Zhou both hands place on the keyboard, types one line of characters quickly. 回忆着前段时间看的那些参考文献,陆舟双手放在键盘上,很快打出来一行字。 This time paper did not need General points to exchange, previously with Senior Brother Luo exchanged the Hilbert space issue the time, in the Lu Zhou head just a little idea, happen to wrote at this time. 这次的论文就不用积分兑换了,先前和罗师兄交流希尔伯特空间问题的时候,陆舟脑袋里刚好有点想法,这时候正好写出来。 Took the pen, Lu Zhou wrote on the scratch paper. 拿起了笔,陆舟在草稿纸上写道。 Time one minute one second passes by, Lu Zhou only thought that the mentality is very smooth, quick then voluminous putting in order a rough draft writes all over, reached the second scratch paper the hand. 时间一分一秒过去,陆舟只觉得思路无比流畅,很快便洋洋洒洒地将整面草稿写满,把手伸向了第二张草稿纸。 Such that it seems like just like he previously when challenging Twin Prime Conjecture guessed, the promotion of mathematical rank, the brought advantage and was not only the database jurisdiction of unlocking system, has also promoted in the power of thought of this/should domain to he himself. 看来正如他此前在挑战孪生素数猜想时猜测的那样,数学等级的提升,带来的好处并不仅仅是解锁系统的数据库权限,对他自己在该领域的思维能力也有所提升。 Does the brain territory develop? 脑域开发? Other what? 还是别的什么? In brief, he can very obvious feeling, happening in oneself change. 总之,他可以很明显的感觉到,发生在自己身上的变化。 For these days first handled the paper, then makes the system the duty.” “这几天先把论文搞定吧,然后再弄系统的任务。” Stretches oneself, looks at a side to prepare for the exams for postgraduate schools Senior Brother Junior Sister, in the Lu Zhou heart also raised the working zeal. 伸了个懒腰,看了眼身旁备战考研的师兄师姐们,陆舟心中也是提起了干劲。 Actually brushes the paper in the library, reading, this feeling is also good. With the enhancement of division/discipline rank, the speed of acknowledge acquiring speeds up, he also enjoys this type to having the process of knowledge from the ignorance more and more. 其实在图书馆刷刷论文,看看书,这种感觉也挺好的。随着学科等级的提高,知识获取的速度加快,他也越来越享受这种从无知到有知的过程。 Why does not know, sits Lu Zhou that here writes with vigor, always felt short of anything...... 只是不知道为什么,坐在这里奋笔疾书的陆舟,总感觉少了些什么…… ...... …… Returned to the bedroom, unsurprisingly, hears Shi Shang to install to compel there. 回了寝室,不出意外,又听见史尚在那儿装逼。 However this fellow had not said actually anything feels grateful the topic of this very privacy for the first time”, but passes on the little life experience to two single dogs simply, for example pulls up younger sister attainment anything......, but this is also most exasperating! 不过这家伙倒是没有说“第一次什么感激”这种很隐私的话题,只是简简单单地向两个单身狗们传授一点点人生经验,比如撩妹心得什么的……而这也是最气人的! Huang Guangming turned on the computer to watch the variety show directly, Liu Rui puts on the earphone listened to music while brushed the abstract algebra, two people shielded this fellow as if by prior agreement. 黄光明直接打开了电脑看综艺节目,刘瑞戴上耳机边听歌边刷抽象代数,两个人不约而同地屏蔽了这家伙。 Yo, did the elbow, study by oneself?” “哟,肘子,自习回来了?” How yesterday felt? My wife the quality of their bedroom also good?” “昨天感觉怎么样?我老婆她们寝室的质量都还行吧?” Can arrive at WeChat? Do not be shy, everyone is an adult, directly, or you told me to be interested in whom, did I help you ask WeChat?” “要到微信号没?别那么羞涩嘛,大家都是成年人,直接一点,要不你告诉我对谁感兴趣,我帮你问问微信?” Lu Zhou sighed: Flies Elder Brother, you inflated.” 陆舟叹了口气:“飞哥,你膨胀了。” Shi Shang touches the face: Inflation? Do I have the inflation?” 史尚摸了摸脸:“膨胀?我有膨胀吗?” Lu Zhou: Yes, you make me feel that is still celebrating the new year.” 陆舟:“是的,你让我感觉还在过年。” Shi Shang gawked under: New year's celebration? Why?” 史尚愣了下:“过年?为啥?” These words that you just spoke, new year's celebration that little while, my aunt of relative's house that side several menopause has said one.” “你刚说的那些话,过年那会儿,我亲戚家那边几个更年期的大妈已经说过一遍了。” Shi Shang: „......” 史尚:“……” Threw the computer bag on the table, Lu Zhou is preparing to go to the balcony to wash the hands, saw the variety show on Huang Guangming computer just in time, then looked at two. 将电脑包扔在了桌子上,陆舟正准备去阳台洗个手,正巧看到黄光明电脑上的综艺节目,便瞄了两眼。 Strongest study tyrant?” “最强学霸?” Yes.” “是啊。” Ok, has started to look for the common interest? 可以的,已经开始找共同话题了吗? Looks yellow lowly, in the Lu Zhou heart sighs with emotion. 看着黄小贱,陆舟心中感慨。 It seems like 201 single dog camps, was short of a brave little friend. 看来201的单身狗阵营,又少了一位勇敢的小伙伴。 „Are they doing?” When does not know, Liu Rui did not brush the topic, collected to surround. From the outside, several male encirclements in front of a computer, the person who does not know also think that is looking at anything. “他们在干什么?”不知什么时候,刘瑞也不刷题了,凑过来围观。从外面看,几个男的围在一台电脑前,不知道的人还以为是在看什么。 Number is alone!” “数独!” Is the number alone? 数独? Looks in the stage that facial color calm young man, the Lu Zhou expression appears suddenly. 看着舞台上那个面色沉稳的年轻男人,陆舟表情浮现一丝恍然。 This is that named Wu word study tyrant? 这位就是那个叫吴言的学霸? Why does not know, with for study him of tyrant, was away from the screen to smell aura of share of weak one. Naturally, no matter what reason, definitely is not because this goods grow gracefully, after all comes to be a little disparity compared with him. 可不知道为什么,同为学霸的他,隔着屏幕就闻到了一股弱者的气息。当然,不管是什么原因,肯定不是因为这货长得帅,毕竟比起他来还是有点差距。 Wu Yanyu as mathematics circles, Lu Zhou felt although oneself compare compared with the academic success does not win these old men, but does not lose to anybody compared with the attractiveness value words, should this no one refute? 身为数学界的吴彦组,陆舟觉得自己虽然比学术成就比不赢那些老头子们,但比颜值的话还是不输给任何人的,这应该没人会反驳吧? At this time, that person on stage moved. 就在这时候,台上的那人动了。 Lu Zhou startled. 陆舟惊了。 Fills in the number to be alone blindly?!” “盲填数独?!” Huang Guangming inexpensive smiles: Prevalent abuse...... words saying that Brother Lu you aren't good?” 黄光明贱贱一笑:“流弊吧……话说陆哥你不行吗?” Lu Zhou: „...... Cannot stir up unable to annoy.” 陆舟:“……惹不起惹不去。” What does this program group have to misunderstand to study tyrant word? However, and time that player calculates does not need? 这节目组是不是对学霸这个词有什么误解?不过话说回来,且那个选手连计算的时间都不需要的吗? This was also too terrifying. 这也太恐怖了。 Then is 100 division/discipline difficult problems, both sides standing in line answers. Some are the physics, some are the maths, there is a biochemistry and so on topic, needs the division of labor and cooperation between members to decode. Lu Zhou can understand actually, but yellow lowly has started a face to compel with Liu Rui two ignorant. 接下来是一百道学科难题,双方站队现场答题。有的是物理,有的是数学,也有生物化学之类的题目,需要成员之间的分工合作进行破解。陆舟倒是能看得懂,不过黄小贱和刘瑞两个已经开始一脸懵逼了。 However, as if not hinder these two to look with great interest? 然而,似乎并不妨碍这俩个看的津津有味? Liu Rui: Elbow, can you understand?” 刘瑞:“肘子,你看得懂吗?” Lu Zhou nods: Basically can understand.” 陆舟点了点头:“基本看得懂吧。” Being able to understand can understand, but definitely has no way to do is so quick, this inside many topics are the university student expertise skills competition levels, even some professors do must spend time to ponder. 看得懂是看得懂,但肯定没法做的这么快,这里面不少题目都是大学生专业知识技能竞赛水准的,连一些教授去做恐怕都得花一点时间思考。 Although choice question, only but if is blind ignorant/veiled, otherwise horizontal pushes like also is almost impossible...... words saying that the talent in this world such has changed. Condition? 虽说是选择题,但除非是瞎蒙,否则像这样唰唰地平推也几乎是不可能的……话说这个世界上的天才已经这么变.态了吗? Lu Zhou four team members opposite Germany team looked at subconsciously one by one, discovered that Peter G. Schultz in inside, did not look at the China team, does not have the familiar face. 陆舟下意识地把对面德国队的四个队员挨个看了一圈,发现那个彼得・舒尔茨并不在里面,看了看华国队,也没有熟悉的面孔。 Is less than 15 minutes, 100 problems handle completely, announcement answer. Tiger king Dui from Germany responds 83 topics, obtains 8.3 points, temporarily leading responds 79 topics transcendence team from China. 不到十五分钟,一百道题全部搞定,公布答案。来自德国的虎王队答对83题,获得8.3分,暂时领先答对79题的来自华国的超越队。 The both sides total score 14 : 15, tiger king Dui temporarily is in the lead, situation anxious. 双方总比分14:15,虎王队暂时领先,局势一下紧张了起来。 At this moment, puts on a female host of evening dress, goes forward to speak. 就在这时,穿着一身晚礼服的女主持人,上前讲话。 We know, great mathematician Euclid proved the infinity of prime number, modern mathematician Hilbert conducted to it using the method of analysis situs once again showed. The mathematics circles regarding tracking down of mysterious prime number, is will be without limits forever.” “我们都知道,伟大的数学家欧几里得证明了素数的无限性,近代数学家希尔伯特又利用拓扑学的方法对其进行了再次证明。数学界对于神秘的素数的追寻,是永无止境的。” „The next together topic, is a world-class difficult problem.” “下一道题目,是一道世界级的难题。” Great mathematician Polignac proposed general suspicion, to all natural number k, having the infinite many prime numbers is right. But our today's topics, are try to prove the weak suspicion of this suspicion.” “伟大的数学家波利尼亚克提出了一般猜想,对所有自然数k,存在无穷多个素数对。而我们今天的题目,便是对这一猜想的弱猜想进行求证。” Who can k to smaller digital propulsion, who will obtain this decision result 3 points!” “谁能将k向更小的数字推进,谁将获得这决定胜负的三分!” Starts to answer!” “开始答题!” Three little friends before computer instantaneously startled. 电脑前的三个小伙伴瞬间惊了。 Huang Guangming: F*ck? Such society?!” 黄光明:“握草?这么社会?!” Liu Rui: „Can this mother the card on the stage come out? I special eating...... do not eat this computer.” 刘瑞:“这尼玛能在台上证出来?我特么把这电脑给吃……还是不吃了。” Lu Zhou:??? 陆舟:???
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