SATS :: Volume #1

#8: Linear operator and linear functional optimal inversion theory


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Since there is a system, Lu Zhou thought that own life is orderly, a early morning carries oneself that second-hand notebook, went to the library. To him, this experience is simply unprecedented. 自从有了系统,陆舟觉得自己的生活倍儿有规律,一大清早就背着自己那台二手笔记本,去了图书馆。对于他来说,这种体验简直是前所未有的。 Is the previous place, Lu Zhou opens the notebook as before, the wall looked for a power source to insert, formed in one's mind a while, then knocked several large characters in the word documents. 依旧是老地方,陆舟把笔记本打开,墙边找了个电源插上,构思了一会儿,便在word文档上敲下了几个大字。 Linear operator and linear functional optimal inversion theory 【线性算子和线性泛函的最优反演理论】 Abstract: Studied inverse problem of several kinds when giving completely and partial information the linear functional and linear operator. Introduced the basic result of optimal inversion theory, the structure of especially optimal inversion......】 【摘要:研究了几类在给出全部和部分信息时线性泛函和线性算子的反演问题。介绍了最优反演理论的基本结果,特别是最优反演方法的构造……】 This topic was yesterday evening Lu Zhou lies down, when the bed upturned the note thinks that their mathematical analysis teacher Professor Tang, when talked about the inversion formula of Fourier, raised a mouth to them freely spoken, now mathematics circles several cannot be counted popularly, but compared with front domain. 这个题目是昨天晚上陆舟躺在床上翻笔记的时候想到的,他们的数学分析老师唐教授在讲到傅里叶反演公式的时候,顺口给他们提了一嘴,当今数学界几个算上不上热门,但比较前沿的领域。 Unified the material of online consult, Lu Zhou then planned this topic. 结合网上查阅的资料,陆舟便拟了这个题目。 Solves as for this topic? 至于这个题目怎么解? Un...... 嗯…… At his state-of-art definitely is the non-solution, must therefore use some conventional methods. 以他的知识水平肯定是无解的,所以得用些常规手段。 If he did not remember incorrectly, that Black Science & Technology System General points can be used to solve the technical question in reality, he tried under to solve the proof method of Riemann hypothesis, finally had no response. To come is the answer surpassed his mathematical rank either, either is the General points consumption is the astronomical figures he cannot withstand. 如果他没记错的话,那个黑科技系统积分是可以用来解决现实中的技术问题的,他试了下解决黎曼猜想的证明方法,结果没有任何反应。想来要么是答案超出了他的数学等级,要么就是积分消耗是个天文数字他承受不起。 Aims at this degree topic, the system can give a response? 以这种程度题目为目标,系统总该给点反应吧? Thinks of here, Lu Zhou is gathering the attention to the computer screen, in the heart started to meditate system system system......” 想到这里,陆舟对着电脑屏幕集中了注意力,心中开始默念“系统系统系统……” Un...... 嗯…… Probably no response. 好像没什么反应。 Un? 嗯? Suddenly, a warm current leapt up the crown of the head from the back, Lu Zhou only felt a brain heat, bang, the huge information flow then in knowing the sea blasted out, an all various professions writing follows from his has fluttered at present. 忽然间,一股暖流从背后蹿上了天灵盖,陆舟只觉得脑子一热,紧接着“轰”的一声,庞大的信息流便在识海中炸开,一行行文字紧随其后从他的眼前飘过。 General points consumes 65 points 积分消耗65点】 Based on the mathematical LV0 rank, is giving optimal solution......】 【基于数学LV0等级,正在给出最优解法……】 That feeling is not sore, instead makes people feel somewhat enjoys, when Lu Zhou suspected oneself turned into M, the flash he awoke. 那种感觉不疼,反而让人感觉有些享受,就在陆舟怀疑自己是不是变成了M的时候,一瞬间他醒了。 Stared at the snow white computer screen, Lu Zhou was looking at own both hands, looked at the keyboard, in muttering has an excitement that was difficult to cover. 盯着雪白的电脑屏幕,陆舟看了看自己的双手,又看了看键盘,喃喃自语中带着一丝难掩的兴奋。 „Did solution...... untie?” “解……解开了?” The genuine solution opened!!! 真解开了!!! If in the library, he did not only fear that will really cheer to make noise excitedly. 如果不是在图书馆里,他只怕真会兴奋地欢呼出声来。 With grasped Zhou to suspect initially proof law time, the core demonstration method of entire topic, is the same like together the iron, took over the seal of office in his brain. 和当初掌握周氏猜想证明法的时候一样,整个课题的核心论证方法,就如同一块烙铁一样,直接印在了他的大脑里。 From process, to answer, each number, each symbol, and even each punctuation, so succinct, is flooding the aesthetic sense of math. 从过程,到答案,每一个数字,每一个符号,乃至每一个标点,都是如此的简练,充斥着数学的美感。 What only minor defect in something otherwise perfect is, this beautiful too bone felt, needs to enrich its connotation with the language, turned into a paper from the pure theory it. 唯一美中不足的是,这种美太骨感了,需要用语言去丰富它的内涵,将它从纯粹的理论变成一篇论文。 Can by the paper that others understand. 一篇可以被其它人看懂的论文。 Dark, Lu Zhou seemed like anything, significance about Black Science & Technology System. 冥冥之中,陆舟似乎懂了些什么,关于黑科技系统的意义。 May make him think what is not clear, why are all these? 可让他想不明白的是,这一切又是为什么? At this time, a ball pen extended, poked his arm gently. 这时,一支圆珠笔伸了过来,轻轻戳了戳他的胳膊。 That, the schoolmate......” Chen Yushan is blushing, can embarrassed asking, consult your mathematics problems again?” “那个,同学……”陈玉珊红着脸,不好意思的问道,“可以再请教你一道数学题吗?” Originally she does not want to look his, but this topic all around person she has asked that no one can solve. 本来她是不想找他的,可这道题前后左右的人她都问过了,没一个人解得出来。 Without the means that the person under the eaves, has to lower the head. 没办法,人在屋檐下,不得不低头。 Chen Yushan chooses to endure humiliation, decides forgot the day before yesterday him to own shame. 陈玉珊选择忍辱负重,决定忘掉前天他对自己的“羞辱”。 Recovers, Lu Zhou says: Ok, the topic brings.” 回过神来,陆舟开口说道:“行,题目拿来吧。” Chen Yushan relaxes, softly moved own chair, sat in Lu Zhou side. 陈玉珊松了口气,轻手轻脚的把自己的椅子搬了过来,坐在了陆舟的旁边。 Lu Zhou glanced two topics, discovered that this topic difficulty compared with the day before yesterday that problem difficult many, with Liu Rui asked probably his problem is a rank. 陆舟瞟了两眼题目,发现这道题目的难度比前天那道题难了不少,大概和刘瑞问他的那道题是一个等级的。 But regardless of again how difficult, cannot escape from the advanced algebra the big frame, particularly to him, so long as is the topic on exercise book, does not exist unable to solve this view. 可不过无论再怎么难,也逃不出高等代数的大框架,尤其是对于他而言,只要是习题册上的题,就不存在解不出来这个说法。 With beginning a stroke, Lu Zhou starts to write to draw on the scratch paper. 拿起笔,陆舟开始在草稿纸上写写画画。 When Lu Zhou presents the topic, Chen Yushan looked at the eye secretly his profile. 陆舟做题的时候,陈玉珊偷偷看了眼他的侧脸。 Although this person of character is not likable, earnest appearance also accidental/surprised is very worth looking. 虽然这人性格不咋讨人喜欢,不过认真的样子还意外的挺耐看的。 When Chen Yushan bored waits for Lu Zhou to give her the problem solving, suddenly notices the word documents on his computer screen, then asked low voice: Schoolmate, are you making the graduation project?” 就在陈玉珊无聊地等着陆舟给她解题的时候,忽然注意到了他电脑屏幕上的word文档,便小声问道:“同学,你在做毕业设计吗?” The graduation project drags not to complete to June , is really a talent! 毕业设计拖到6月份还没做完,也真是个人才! Is speaking thoughtlessly to reply in Lu Zhou of problem solving: „It is not, that is the paper, throws sci.” 正在解题的陆舟随口答道:“不是,那个是论文,投sci的。” Hears this saying, Chen Yushan whole face respect. 听到这话,陈玉删满脸崇敬。 God, this was bumps into the big god! 天啊,这是碰到大神了啊! Really has not looked, the appearance is so young, unexpectedly is a graduate student! 真是没看出来,模样这么年轻,居然是个研究生! Moreover during the graduate student, started to throw sci, extraordinary! 而且研究生期间就开始投sci了,了不起! A Chen Yushan face worship asked: Senior, what you are specialized?” 陈玉珊一脸崇拜地问:“学长,您是什么专业的呀?” Originally is presenting the topic unemotionally Lu Zhou, hears Senior this word, suddenly expression shy smiling of: „...... Math department.” 本来正在面无表情做题的陆舟,听到学长这个词,忽然表情羞涩的笑了笑:“呃……数学系。” Math department, my God, can be immortal that the math learns......” Chen Yushan voiced the heartfelt feeling, worship at heart was more obvious. “数学系,我的天,能把数学学好的都是神仙……”陈玉珊发出了由衷感慨,心里的崇拜更明显了。 She is the business school, although this specialized epistemology only quite OK, may worry is mathematical class. Immediately wanted fourth-year, took exams for postgraduate schools this mountain to press in the front, may also want to continue to pursue advanced studies she who to worry badly. 她是商学院的,虽然本专业的知识学的都相当OK,可唯一发愁的就是数学这门课。马上就要大四了,考研这座大山压在面前,可把还想继续深造的她愁坏了。 Untied, the process and mentality I write on the paper, you ponder over to be able to understand.” Advanced Chen Yushan side the scratch paper, Lu Zhou said in a soft voice, mathematical thing one by talent ; second, by starting writing to practice, was different from other science subjects, the light was listens to the person explanation to be useless.” “解开了,过程和思路我都写在纸上,你自己琢磨琢磨应该能想明白。”把草稿纸推到了陈玉珊的旁边,陆舟轻声说道,“数学这东西一是靠天赋,二是靠下笔练,和其它理科不同,光是听人讲解是没用的。” Here after all is a library, is not suitable to explain a subject. Exchanges two there is no issue low voice, but if has spoken, only fears suffers many supercilious looks. Therefore Lu Zhou then stopped the thread of conversation, thing that needing understands, gave this female student to ponder. 这里毕竟是图书馆,不适合讲题。小声交流两句倒没什么问题,可要是一直讲话,只怕得挨不少白眼。所以陆舟便打住了话头,把需要自己去理解的东西,交给了这位女生自己去思考。 Chen Yushan said hastily the sound thanks, after the rough draft comes directly, put out cell phone, requested embarrassed low voice: That...... Senior, can I add your WeChat? Does not bump into the topic, I also want to ask you.” 陈玉珊连忙说了声谢谢,把草稿直接过来后,紧接着拿出了手机,不好意思地小声请求道:“那个……学长,我可以加下您微信吗?碰到不会的题,我还想问您。” Does not have the issue.” Lu Zhou has not thought, puts out his lowering with the millet, swept under the data matrix code to this female student. “没问题。”陆舟也没多想,拿出他的低配小米,给这位女生扫了下二维码。 Thanks, please eat meal next time.” Chen Yushan is blushing to express gratitude again, moves oneself stool to move , to continue to write with vigor. “谢谢,下次请你吃饭。”陈玉珊红着脸再次道了声谢,搬着自己的凳子挪了回去,继续奋笔疾书。 At this time, Lu Zhou recovered suddenly, oneself as if forgot to clarify a misunderstanding. 这时,陆舟忽然回过神来,自己似乎忘了澄清一个误会。 Own where is what graduate student, is big one moe newly. 自己哪里是什么研究生,就是个大一的萌新啊。 Although several months later big two. 虽然再过几个月就大二了。 However thinks, runs to clarify this matter specially, some as if mental illness, others are also awkward, this misunderstanding will wait to have the opportunity to say next time again. 不过想了想,专门跑过去澄清这件事儿,似乎有些神经病,别人也尴尬,这个误会还是等下次有机会再说吧。 Thinks of here, he then shakes the head, threw this matter after the brain, the eye continued to stare at the screen, the finger is typing on the keyboard gently, started to compile own paper to get up dedicated. 想到这里,他便摇了摇头,将这件事儿抛在了脑后,眼睛继续盯着屏幕,手指轻轻敲着键盘,开始专注地编写起自己的论文起来。 ...... …… Although the system bases on the solution that the mathematical LV0 rank gives, but Lu Zhou a little can conclude, the knowledge node that this solution uses, does not certainly base on his knowledge reserve, knowledge that but transfers from system's database. 虽说系统是基于数学LV0等级给出的解法,可陆舟有一点可以断定的是,这个解法用到的知识点,一定不是基于他自身的那点知识储备,而是从系统本身的数据库中调用出来的知识。 When writes the paper, Lu Zhou while is also taking the note in nearby hand-written notebook, these him looked at that not the clear knowledge node displays, and in having the step of question gets the question mark. 一边在边写论文的时候,陆舟一边也在旁边的手写笔记本上做着笔记,把那些他看不明白的知识点罗列出来,并且在有疑问的步骤上打上问号。 Others write the paper, probably pumps out water from the sponge, but to him, actually enters the sponge the waterdrop with a rubber dropper probably, compared with the output, is more like a process of input. 别人写论文,像是从海绵中挤水,而对于他来说,却像是用胶头滴管把水滴进海绵,比起输出,更像是一个输入的过程。 Entire the day, Lu Zhou soaks in the library, the lunch, with the steamed stuffed bun solution that the morning buys. 整整一天,陆舟都泡在图书馆里,就连午饭,都是用早上买的包子解决的。 Looks on the screen the paper of big several thousand character, that wrote two pages of notes, he by makes an effort to stretch oneself on the chair. 看着屏幕上大几千字的论文,还有那足足写了两页的笔记,他靠在椅子上使劲伸了个懒腰。 Remaining had a thorough understanding of the knowledge node on note, can check the material checks the material...... to turn asks the teacher who as far as possible the book cannot check.” “剩下的就是把笔记上的知识点吃透了,能查资料的尽量查资料……翻书查不到的就问老师。” In the paper proves the part jumbled place , under can simplify slightly. When the time comes knows the net retrieval, had been proven by other papers the thing, erased the proof process labelling quotation directly on the line.” “还有论文中论证部分过于冗杂的地方,也可以稍微精简下。到时候上知网检索,已经被其它论文证明过的东西,直接删掉证明过程标注引用就行了。” Finally is checks...... me should the issue is not big heavily to me, after all each character may be we writes.” “最后就是查重……我对我来说应该问题不大,毕竟每个字可都是咱自己写的啊。” Or the system writes, has not missed in any case. 或者说系统写的,反正也没差。 The time, the belly has not started early cluck, Lu Zhou then hey stood from the seat, walks toward the library. 时间不早了,肚子已经开始咕咕叫,陆舟便嘿咻一声从位子上站了起来,向图书馆外面走去。 Is the dinner continues to eat the barbecue to mix the food? Has the curry rice served with meat and vegetable topping? 晚饭是继续吃烤肉拌饭呢?还是吃咖喱盖饭? A while finished eating the dinner, goes to a old Tang's office on the way, if Lu Zhou did not remember incorrectly, this selects him should in the fourth-year exams for postgraduate schools Q / A classroom to be on duty. 一会儿吃完了晚饭,顺路去一趟老唐的办公室,如果陆舟没记错的话,这个点他应该在大四考研答疑教室值班。 Un, decided happily! 嗯,就这么愉快的决定了!
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