Although the sound is light, hears Gnessi, Miri and the others in the ear actually to be similar to bolt from the blue, revealing. 声音虽轻,听到涅西卡、米里娜等人耳中却如同晴天霹雳,振聋发聩。 The research mathematical knowledge and has attained them of Arcane scepter prize, will always have the proud mood regarding the math unavoidably, may in actual, the math be only the tool of Arcane exploration and magic arts analysis, is their dependencies, without many Arcanist is willing to put in this to be full of the unequalled aesthetic sense the energy of lifetime the domain, to overwhelming majority Arcane, sufficience on line. 研究数理知识并拿到过奥术权杖奖的他们,对于数学总是难免会有骄傲的情绪,可在实际之中,数学只是奥术探索、法术解析的工具,是它们的附庸,没多少奥术师愿意将毕生的精力投入这充满无与伦比美感的领域,对绝大部分奥术而言,够用就行。 The high tower likes in the mathematical domain Arcanist heart, has more or less had the idea of being similar in the Lucien words the meaning, but this is only occasional is conceit the proud, occasional miraculous glow flashes, occasional speaking thoughtlessly complained, never has portrait Lucien? Evans this, uses the so influential view under the so proof shocking, is higher than the math knows and be higher than side of immediate experience to tell intuitively, lifts they had never expected the position the importance of math. 高塔内部喜欢数理领域的奥术师心中,或多或少都有过类似于路西恩话里意思的想法,可这只是偶尔的自矜自傲,偶尔的灵光一闪,偶尔的随口抱怨,从来没有人像路西恩?伊文斯这样,在如此震撼性的论证之下用如此具有冲击力的说法,将数学高于直观认识、高于现实经验的一面讲述出来,把数学的重要性抬到了一个他们从未奢望过的地位。 Even if their very clear Lucien this is aggravating the Levsky paper correct weights, does not hinder them to be hard to take excitedly, one's blood bubbles up to the brim. 即使他们很清楚路西恩这是在加重列夫斯基论文正确的砝码,也不妨碍他们激动难耐,久违的热血沸腾。 Levsky whole body trembles excitedly, right, the number cannot learn to deceive me, therefore has «geometry Study Principle And Parallel line Theorem Strict Proof», in this as if no in the sea of boundary, in sea that in this violent storm never stands still, firmly held the math, the wholeheartedly relied on it, by the outside world „deceit”, oneself cannot rush to the repeated difficulties, crossed the vast boundless sea, did not blow over to turn by the storm, was not attacked and sunk desperately! 列夫斯基更是激动地浑身发抖,对,数学不会欺骗我,所以才有《几何学原理和平行线定理的严格证明》,在这似乎没有边际的大海里,在这狂风暴雨从不停歇的大海里,正是紧紧抓住了数学,全身心地依赖于它,不受外界“欺骗”,自己才能闯过风风雨雨,渡过浩瀚无垠的大海,不被风浪吹翻,不被绝望击沉！ Fernando has not praised own student, but nods gently, these words deep level the content of meaning relative surface is worth look into. 费尔南多还是没有表扬自己的学生,只是轻轻点头,这番话深层次的含义比表面的内容更值得探究。 Lucien takes back the right hand, will surround the paper of entire conference room to receive, put just another pack of thick papers that took from the storage bag in magic again, said with a smile temperately: „Then. Let us try from another path, has a look whether can use the unusual scenery.” 路西恩收回右手,将环绕整个会议室的论文收起,重新在魔法阵内放上刚从储物袋内取出来的另外一叠厚厚论文,温和笑道:“接下来。让我们试试从另外一条道路出发,看看是否能用不同寻常的风景。” Has the mathematical model, some Levsky geometry and high tower geometry accommodating proof, Miri and other committee members although extremely resists, after all no one likes denying itself, acknowledged oneself make a mistake, moreover made a mistake for more than ten years, but also has to approve this new geometry system initially, to this situation. To overthrow Levsky geometry, must overthrow correspondingly with its accommodating high tower geometry, this completely went against their original intentions. 有数学模型,有列夫斯基几何与高塔几何相容的证明,米里娜等委员心里虽然还是万分抗拒,毕竟没人喜欢否定自己,承认自己犯了错误,而且是错了十几年,但也不得不初步认同了这个新几何体系,到了这个地步。想要推翻列夫斯基几何,就要相应地推翻与它相容的高塔几何,这就与他们的初衷完全违背了。 In addition was hit the mind by the Lucien's words, their time complex actually relatively are calm, has not held what prejudice to look to the paper. 加上被路西恩的话语击中了心灵,他们此时情绪复杂却相对稳定,没有抱着什么成见地看向论文。 „«To Parallel line Theorem Another One Supposition»?” The hair plate gets up. Elegant Miri read in a low voice sets a topic, guessed correctly anything faintly. “《对平行线定理的另一个假设》？”头发盘起。雍容华贵的米里娜低声念出了题目,隐隐猜到了什么。 „Another supposition......” Levsky seemed to think that at present has the dense fog to be scattered, saw oneself these several years insisted neglected issue. “另一个假设……”列夫斯基似乎觉得眼前有迷雾被驱散,看到了自己这十几年坚持中忽略了的问题。 Lucien like attended class in the magic school, the paper of hand direction projection, letting a content all various professions demonstration: „Mr. Levsky is supposition ‚beyond the straight line a point, at least can direct two straight lines and known straightly parallel’, then with original axiom and postulation same place. Inferring a logic was rigorous, but the new geometry system of self consistent method, don't we come up with another hypothesis? Constitutes another supposition of complete set with Levsky geometry and high tower geometry: ‚Crosses beyond the straight line a point, no straight line and known straightly parallel’.” 路西恩就像在魔法学校上课,将手指向投影的论文,让内容一行行展示:“列夫斯基先生是假设‘过直线外一点,至少可以引两条直线与已知直线平行’,然后与原有的公理、公设一起。推导出了一个逻辑严谨而自洽的新几何体系,那我们不做另外一个假设呢？与列夫斯基几何、高塔几何构成完备集合的另外一个假设:‘过直线外一点,没有一条直线与已知直线平行’。” „Then, making us conduct the deductive reasoning. Has a look to have what situation.” “接下来,让我们进行演绎推理。看看会出现什么情况。” Levsky inspires gently, is excited, as if understood anything, but Gnessi, Miri and other committee members looked dignifiedly to paper that Lucien projects. 列夫斯基轻轻吸了口气,情绪再次激动,似乎明白了什么,而涅西卡、米里娜等委员凝重地看向路西恩投影出来的论文。 Pages of papers crossed. A segment elaborated gives, what because faced was the mathematical domain authorities. Lucien explained extremely quickly, many places have brought briefly, but Gnessi and the others the complexion was getting more and more serious, had doubts more and more, when did not know, Mapel blurted out, talked to oneself in a low voice: „Really deducted to be different from Levsky geometry unexpectedly but also is strange the strange proposition......” 一页页论文翻过。一段段论述给出,由于面对的是数理领域的权威们。路西恩讲解得极快,很多地方都是简略带过,可涅西卡等人脸色却越来越严肃,越来越疑惑,不知什么时候,玛佩尔脱口而出,低声自语:“竟然真的演绎出了不同于列夫斯基几何但又同样离奇古怪的命题……” „This actually what's the matter......” her sound triggered Salgueiro's response. “这究竟是怎么回事……”她的声音引发了萨尔盖罗的回应。 „Is one with the high tower geometry essentially different new geometry systems?” Miri was vacant, before several hours, she is still thinking that firmly is impossible to appear with the high tower geometry essentially different new geometry systems, but less than day, this viewpoint brutally seemed to be crushed, moreover was crushed for successive two times. “难道又是一个与高塔几何本质上不同的新几何体系？”米里娜茫然无措了,就在几个小时前,她还在坚定地认为不可能出现与高塔几何本质上不同的新几何体系,可不到一天的时间内,这个观点似乎就被无情的击碎了,而且是连续两次被击碎。 She rejoiced confusedly, luckily this is the mathematical domain viewpoint, does not involve the constitution of cognitive world, otherwise oneself bang sonic boom does the head, have „broken skull demon” worthily secretly and „food brain” Lucien of title? Evans. 她迷茫又庆幸,幸好这是数理领域的观点,不涉及认知世界的构成,否则自己已经砰的一声爆掉了脑袋,不愧是暗地里有“碎颅魔”、“食脑者”称号的路西恩?伊文斯。 Levsky does not have doubts, but was deep in the deep thought that why will have this situation? Why from the different denials of fifth postulation and fifth postulation from sending, will obtain each one to be complete, the different geometry system of independence and logical rigorous self consistent method? Actually is this why? Does this have the connection with the real world? 列夫斯基并不疑惑,而是陷入了深深的沉思,为什么会出现这种情况？为什么从第五公设的不同否定以及第五公设本身从发,会得到各自都完备、独立、逻辑严谨自洽的不同几何体系？这究竟是为什么呢？这与现实世界有没有关联呢？ Under Douglas President your excellency gradually influencing, unavoidably why likes asking in Arcanist that Congress of Magic grows, is like Lucien very few. 在道格拉斯议长阁下的熏陶之下,在魔法议会成长起来的奥术师都难免喜欢问为什么,可是像路西恩这样的少之又少。 „A little meaning......” Fernando nods gently. “有点意思……”费尔南多轻轻颔首。 The time passes fast, the Lucien's paper turned the final part, proved the realizability of beforehand content with the model of similar spherical surface. 时间过得飞快,路西恩的论文翻到了最后部分,用类似球面的模型证明了之前内容的可实现性。 Gnessi deeply sighed the say/way: „Really is a new geometry system, Evans geometry.” 涅西卡深深叹息了道:“果然又是一个新的几何体系,伊文斯几何。” „Math will really not deceive people......” “数学果然不会骗人……” Is because arrogant and prejudice, oneself missed one with the opportunity of oneself surname name entire geometry system, if can accept Levsky's supposition, that Lucien? The supposition of Evans is can think easily. 就是因为傲慢和偏见,自己错过了一个用自己的姓命名整个几何体系的机会,如果能接受列夫斯基的假设,那路西恩?伊文斯的这个假设是很容易就能想到。 Lucien had not finished, but demonstrates the final several pages of paper: „I defined curvature concept in the paper, can obtain from the computation, when the curvature is zero, is high tower geometry, when the curvature is smaller than zero, is new geometry of Mr. Levsky, when the curvature is bigger than zero, is geometry that I just spoke, they have the common place essentially, can be accommodating.” 路西恩并没有结束,而是将论文的最后几页展示出来:“我在论文里定义了曲率这个概念,从计算可以得出,当曲率为零的时候,是高塔几何,当曲率小于零的时候,是列夫斯基先生的新几何,当曲率大于零的时候,则是我刚刚讲的几何,它们在本质上有着共通的地方,可以相容。” Miri aspirates gently, now became seems to be easy to accept a point. 米里娜轻轻地吐了口气,现在似乎变得容易接受一点了。 Levsky is suddenly enlighted, just about to applauds joyfully excitedly, saw that Lucien presses the hand, hinting everyone is peaceful. 列夫斯基恍然大悟,刚要欣喜激动地鼓掌,就看到路西恩将手压了压,示意大家安静。 What does he also want to speak? 他还要讲什么？ The similar question appears in the different committee member hearts. Appears in Levsky heart. 同样的疑问出现在不同的委员心中。出现在列夫斯基心中。 Lucien no longer threatened, aggressive roaring like before, but was the sound is very very light the gentle said/tunnel: 路西恩不再像之前那样气势汹汹、咄咄逼人的咆哮,而是声音很轻很柔和地道: „We can see, the mathematical knowledge that under certain options, we study surpassed our experience understanding and direct feel, this made us receive many to restrict, making the development of mathematical domain like be fettered the eagle of wing, can only lead the way difficultly.” “我们可以看到,在一定情况下,我们研究的数理知识是超过了我们的经验认识和直观感受的,这让我们受到诸多拘束,让数理领域的发展就像被束缚住了翅膀的老鹰,只能艰难前行。” „Therefore, we can try to strip from the reality the mathematical knowledge, temporarily does not consider their working models and practical significances. Purely from most primitive, most fundamental and simplest concept and axiom, through the inference deduction, develops the rigorous self consistent method the mathematical system, has anything to affect as for this system, represents anything. In concrete Arcane exploration, because comes across the new issue when needs this system considered.” “所以,我们可以试着将数理知识从现实剥离,暂时不考虑它们的实物模型和实际意义。单纯从最原始、最根本、最简单的概念和公理出发,通过推理演绎,发展出严谨自洽的数理体系,至于这个体系有什么作用,代表什么。则等到具体的奥术探索中,因为遇到新问题而需要这个体系时才考虑。” „This is my opinion.” “这是我个人的一点意见。” Lucien mentioned the concept of axiom-system simply, but not thorough elaboration, waited for Arcanist to accept such idea slowly, had developed toward the consciousness that this aspect pondered again is not late, anything needs to proceed in an orderly way. 路西恩简单地提及了公理系统的概念,但并没有深入论述,还是等奥术师们慢慢接受了这样的理念,有了往这方面思考的意识再来发展也不迟,任何事情都需要循序渐进。 The sparse applause resounds. From Levsky, he thought that oneself and Committee Member Evans has too many common languages, each few words that he spoke have the content that the feelings are actually not able to express indistinctly, simultaneously. His understanding of oneself new geometry system, support and proof was as good rescued a oneself life, but he speaks agolden saying can make a deaf person shock is to make him think that now was also hard to take excitedly. 啪啪啪,稀疏的鼓掌声响起。来自列夫斯基,他觉得自己和伊文斯委员有着太多的共同语言,他说的每一句话都是自己隐隐约约有感触却无法表达出来的内容,同时。他对自己新几何体系的理解、支持、证明不亚于救了自己一命,而他振聋发聩的演讲更是让他现在想起来也激动难耐。 In an applause of person, Gnessi complexion fluctuates again and again, the beforehand all sorts appear in the mind. Finally hesitates is lifting the hand, applauds gently. 一个人的掌声里,涅西卡脸色变幻连连,之前的种种浮现在脑海。终于迟疑着抬起手,轻轻鼓掌。 Had the first person's response. Miri, Mapel, Salgueiro and the others also follow applauds, gradually becomes by hesitant, resistance wholehearted. 有了第一个人的响应。米里娜、玛佩尔、萨尔盖罗等人也跟随鼓掌,渐渐由犹豫、抗拒变得真心实意。 „Now, but also some people of strong approval that opposes Committee Member Evans to Levsky paper?” Fernando after the applause stands still asked. “现在,还有人反对伊文斯委员对列夫斯基论文的高度评价吗？”费尔南多在掌声停歇后问道。 Gnessi Kara under oneself white Chang eyebrow, stood up fiercely, looks at Levsky saying: „Please accept my apology, this is one obtains the paper of Arcane scepter prize sufficiently, my arrogance and prejudice let me to accept the new geometry system, I fully approve of the evaluation result of Committee Member Evans.” 涅西卡拉了下自己的白长眉毛,猛地站起,看着列夫斯基道:“请接受我的道歉,这是一份足以获得奥术权杖奖的论文,我的傲慢和偏见让我没能接受新的几何体系,我完全赞同伊文斯委员的评定结果。” „I also apologized to you, for these several years indifferent, slandered and attack apologizes, Levsky, you were a talent, remarkable, the great mathematician, my tenacity and hoodwinked my eye superficially, making me seem ugly, the evaluation result and Arcane scepter prize of Committee Member Evans were to you best commending.” Miri also follows Gnessi to set out, with mystery on holds the volume ceremony deeply to bow. “我也向你道歉,为这十几年的冷漠、诋毁和攻击道歉,列夫斯基,你是一位天才的、卓越的、伟大的数学家,我的固执和浅薄蒙蔽了我的眼睛,让我显得丑陋,伊文斯委员的评定结果和奥术权杖奖是对你最好的褒扬。”米里娜也跟着涅西卡起身,用奥秘在上的扶额仪式深深鞠躬。 It is expected to not oppose to Gnessi, Miri again, but had not expected that they will apologize under big crowd of people directly, a bitter mood rushed to Levsky's head turbulently, making his nose grieved, making his eye fuzzy, looks that committee members set out to apologize, could not speak. 预料到涅西卡、米里娜不会再反对,但没预料到他们会在大庭广众之下直接道歉,一股酸涩的情绪汹涌地冲上了列夫斯基的脑袋,让他鼻子变得酸楚,让他眼睛变得模糊,看着一位位委员起身道歉,却怎么也说不出话来。 Grievance? Naturally puts in great inconvenience! 委屈吗？当然委屈！ Pain? Naturally painful! 痛苦吗？当然痛苦！ But in this moment, these as if because delayed obtained certainly the return! 但在这一刻,这些似乎都因为迟来的肯定得到了回报！ Gnessi looks at the eye to be red, Levsky who the lip could not speak tremblingly, understood sighs, then looked to Lucien: „Committee Member Evans, I apologized for the beforehand question, you were the mathematical talent without a doubt, the authority of mathematical domain you have not disputed, your new geometry system and certificate of geometry system to Mr. Levsky will certainly help you win the Arcane scepter prize!” 涅西卡看着眼睛通红,嘴唇颤颤巍巍却说不出话的列夫斯基,理解地叹了口气,然后看向路西恩:“伊文斯委员,我为之前的质疑道歉,你是毫无疑问的数理天才,你是没有争议的数理领域的权威,你新的几何体系以及对列夫斯基先生几何体系的证明必将让你获得奥术权杖奖！” „Approval thank you.” The Lucien sound replied very much lightly. “谢谢你的认同。”路西恩声音很轻地回答。 Miri doubts said/tunnel: „Committee Member Evans, you how?” 米里娜疑惑地道:“伊文斯委员,你怎么了？” Lucien smiles bitterly: „Throat mute......” 路西恩苦笑起来:“嗓子哑了……” Lord of Storm is not that easy to learn! 风暴主宰不是那么好学的！ ps: ps: First, changes. 先更后改。 Yesterday that chapter to form a coherent whole, wrote quick 3 : 00 pm, has not had the lunch, in addition I had a vacation always do not have the breakfast, therefore the whole person is not good, recovered consciousness by 22 : 00 pm last night, this chapter was the morning gets up to write, late. 昨天那章为了一气呵成,写到快中午 3 点,没有吃午饭,再加上我放假一向不吃早饭,所以整个人都不好了,到昨晚十一二点才缓过来,这章是早上起来写得,迟了点。