WIIC :: Volume #3

#185: Eternity difficult problem? Too crazy 【Another three asked monthly ticket to recommend】

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„Monster sovereign too has ox Mu in the Chinese hibiscus, its color four points, are black and white brownish yellow, there is the difference of male and female., Discussed the number by the cow, the white cow number added the black cow for the number of brown cow half, additional black cow several 1/3. The black cow number, for the yellow cow several 1/4, adds separately the yellow cow several 1/5, again the number of additional brown cow. The yellow cow number for the white cow several 1/6, adds separately the white cow several 1/7, again the number of additional brown cow. By the bull number, the white bull number, for several th Root beer float 1/3, adds separately several th Root beer float again 1/4. The black bull number, for several th ox 1/4, adds separately several th ox 1/5. The brown bull number, for several th Bainiu 1/6, adds separately several th Bainiu 1/7. And asked the cow of monster sovereign, for number how much? Also one asked that if the black and white bull array for the moment, the brownish yellow bull array may exactly for the triangle, asked, the black and white brownish yellow male and female does have the how much respectively?” “妖皇太一有牛牧于扶桑,其色四分,乃黑白棕黄,又有牡牝之别。,以牝牛论数,白牝牛数为棕牝牛之数加黑牝牛半数,又加黑牝牛数三分之一。黑牝牛数,则为黄牝牛数四分之一,另加黄牝牛数五分之一,再加棕牝牛之数。黄牝牛数为白牝牛数六分之一,另加白牝牛数七分之一,再加棕牝牛之数。再论牡牛数,白牡牛数,为黑牛之数三分之一,另加黑牛之数四分之一。黑牡牛数,则为黄牛之数四分之一,另加黄牛之数五分之一。棕牡牛数,则为白牛之数六分之一,另加白牛之数七分之一。且问妖皇之牛,为数几何？又有一问,若黑白牡牛列阵恰为正矩,棕黄牡牛列阵可为三角,又问,黑白棕黄牡牝各有几何？” After Zhi dragon sent out the issue slowly, slightly had happily looks at king Qi. When he returns to presently on king Qi the face the dumbfounded expression, instead some worries. 芝龙缓缓报出问题之后,略有得意的看着王崎。他返现王崎脸上目瞪口呆的表情时,反而有些担心了。 He favors this later generation very much, is not only because he waited for 50,000 years to wait till so right inheritance, because king Qi had several inheritance and mathematical god abstentions. 他是很看好这个后辈的,不仅是因为他等了五万年才等到一个如此合适的传承者,更因为王崎拥有数家传承、数学神戒。 This is the reason, wonderful reason. 这就是缘,妙不可言的缘。 What to do if he can't answer? Can give the prompt? 要是他答不出怎么办？要不要给予提示？ Zhi dragon honorable person thinks like this time, king Qi only feels incredible. 芝龙真人这样想的时候,王崎却只感到荒诞。 Is this...... the eternity riddle topic? 这是……千古谜题？ Good, this truly is a difficult problem. Archimedes herd of cattle issue, big mathematician Archimedes studies the difficult problem that had not solved for a long time. 好吧,这确实是一个难题。阿基米德群牛问题,大数学家阿基米德研究了许久也未曾解开的难题。 However, the difficult difficult problem also same has the time limit. Before the calculus invent, surveys the irregular figure only to use to mend the law, troublesome incomparably does not measure certainly, but after the calculus appear, this kind of the world difficult problem general exercise. Again toward a earlier time, time that the substitution of variables has not been born, the dual equation set can let the difficult problem that the big mathematician touches own ears and cheeks. On Earth once the mathematician bore a grudge another mathematician to be truant the equation set solution, but falsely accuses the opposite party to the inquisition is the sorcerer. 但是,再难的难题也一样是有时代限制的。在微积分发明之前,测量不规则图形只能使用挖补法,麻烦无比又测不准,但微积分出现之后这类世界难题就只是一般习题了。再往更早的时候,换元法没有诞生的时代,二元方程组都是能让大数学家抓耳挠腮的难题。地球上就曾经有一个数学家记恨另外一个数学家偷学方程组解法而到宗教裁判所诬陷对方为巫师。 The mathematical instrument, asked progress, making once difficult problem difficulty gradually reduce. 数学工具、求道之器的进步,使得曾经的难题难度逐渐降低。 Elementary school Mathematical Olympiad can baffle the university teacher, is because this kind of topic often defined the mathematical instrument, must probably use the calculus with the equation. Made into the difficult problem a simple topic actually. 小学奥数之所以能够难倒大学教师,也是因为这类题目往往限定了数学工具,不许用方程不许用微积分。硬是将一道简单题目弄成了难题。 „This issue biggest is the computation load......” king Qi sighs, sent out the answer directly: „This problem has the infinite solution, first asked that most urinates Something went wrong heads, second asked that most urinates is only figure over more than 206,500. Must report several hours of answer with the words of mouth report. Seniors, we with writing......” “这个问题最大的就是计算量吧……”王崎叹气,直接报出答案:“这一道题有无限解的,第一问最小解[Not Found]头,第二问最小解光是位数就超过二十万六千五百多位。用嘴报的话都得报几个小时的答案。前辈,我们还是用写的吧……” „Is impossible! This is impossible!” Zhi dragon expression is panic-stricken, like seeing the world's most inconceivable matter. “不可能！这不可能！”芝龙表情惊恐,如同看到了世界上最不可思议之事。 Was he...... he...... he sends out the answer unexpectedly unexpectedly directly? 他是……他居然……他居然直接报出答案了？ „Certainly was in these 50,000 years some people made this topic, hardly what you remembered was?” Zhi dragon found an excuse, strong self-stabilization. But king Qi thought that opposite party many are somewhat outwardly fierce but inwardly faint-hearted. He lists several equations on the ground: „Good earnest person to know. When recent antiquity, my ten thousand methods also make the breakthrough to the sect, new study, number Tianyuan type, the access method antiquity calculated the family/home primary generation of maths, but further......” “一定是这五万年里有人做出了这一题,你是硬记下的是不是？”芝龙找了个理由,强自镇定。可王崎觉得对方多少有些色厉内荏。他在地上列出几道方程:“好叫真人知道。近古之时,我万法门离宗又有突破,得一新学,号‘天元式’,取法上古算家初等代数学,但更进一步……” Zhi dragon Yidao: „Primary generation of maths?” 芝龙疑道:“初等代数学？” Generation of maths that „namely medieval several develop, are different from the new generation of maths that my ten thousand method seniors develop from generation to generation, by primary name it. Raises while convenient, even/including sect also has content that absorbs this aspect.” king Qi continues to explain: „Here we can list four Yuan day tuples......” “即中古数家开发出的代数学,有别于我万法门前辈一代一代开发的新代数学,以初等称之。顺便一提,连宗也有吸收这方面的内容。”王崎继续解释道:“这里我们可以列出一个四元的天元组……” Zhi dragon thought that the matter went beyond own expectation. He quickly stops: „Waits for, how even/including does sect absorb to leave a basis?” 芝龙觉得事情超出自己的预料了。他急忙叫停:“等一下,连宗如何吸收离宗根本？” The algebra and theory of numbers are closely linked. Naturally to the basis. 代数与数论息息相关。自然是离宗根本。 king Qi has to explain: „Once had the senior to want unified to even/including sect, creates together, number ‚day position law’......” 王崎只得解释:“曾有前辈欲统一离宗连宗,创一道,号‘天位法’……” The so-called day position law, naturally refers to the day of position merit the foundation, the analytic geometry. 所谓的天位法,自然就是指天位功的基础,解析几何。 The age that the analytic geometry presents is very early, Zhi dragon understood that is not difficult. But , because of as can be appreciated, therefore in his heart the feeling of shock really: „This...... unparalleled ingenious method! This is says! This said!” 解析几何出现的年代很早,芝龙理解起来并不困难。可是,正是因为可以理解,所以他心中震撼之感更甚:“这……无双妙法！这就是道啊！这就是道！” Looks appearance that Zhi dragon honorable person dances with joy, king Qi somewhat did not have the heart. Among them the disparity, is not the disparity of individual level. But is the disparity of civilization development. Removes nearly 50,000 years of periods, their disparities were 2000 mathematical history! 看着芝龙真人手舞足蹈的样子,王崎有些于心不忍了。他们之间的差距,不是个人水平的差距。而是文明发展的差距。刨除近五万年的古法时期,他们两个的差距就是两千年的数学发展史！ To shake ten thousand method millennium people with outstanding ability by a own body hardly, are difficult! 想要以一己之身硬撼万法门千年英才,难难难！ In a flash, king Qi listed several eight Yuan first power journey group. Lists the mathematical formula of square figurate number and triangular number. Solves two dual quadratic equation groups. 转瞬之间,王崎就列出了几个八元一次方程组。紧接着又列出正方形数和三角形数的算式。解出两个二元二次方程组。 „Day position law according to the Euclidean space five law formations, must calculate eight Yuan day tuple to have eight 22 vertical number axes......” “天位法是依照欧氏五律形成的,要计算八元天元组得有八个两两垂直的数轴……” Zhi dragon Kuaifeng: „How eight do...... possibly have eight 22 vertical to hand over in 1 : 00 straight line?” 芝龙快疯了:“八个……怎么可能有八个两两垂直又交于一点的直线？” „, This is the expansion of Euclidean space too space, named ‚space’, ordinary space only then up and down, about and around three groups of directions. For three-phase. But ‚space’, has infinitely......” “哦,这就是欧氏太宇的一个扩展,名为‘相宇’,普通空间只有上下,左右、前后三组方向。是为三相。而‘相宇’,乃是有无限相的……” „Is this useful?” “这有什么用？” „Eh...... on the usual criterion, no egg uses, but this is the research microcosm or the complicated system must......” “额……就通常尺度来说,没什么卵用,但是这是研究微观世界或者复杂系统所必须的……” Zhi dragon honorable person more is asking, the facial expression is demented. But when king Qi solves this issue, he is quiet. 芝龙真人越是问,神情就越是癫狂。但当王崎解出这道问题的时候,他已经平静下来了。 This medieval calculates greatly the family/home sighed leisurely: „Respects the young, respects the young!” 这位中古大算家悠悠叹道:“后生可畏,后生可畏啊！” „Yangtze River......, after the great river , before the wave pushes wave, wave compared with wave.” king Qi sincere say/way: „This is the slang of my hometown.” “长江……咳咳,大江后浪推前浪,一浪更比一浪强。”王崎正色道:“这是我家乡的一句俚语。” Zhi dragon honorable person laughs: „Good ‚wave to be stronger than wave’! These words are good! Suffices the taste!” His vision brilliant is staring at king Qi: „Here several issues......, have not tested you. I know, I could not have tested you. I want to know whether these issue later generations have the solution.” 芝龙真人哈哈大笑:“好一个‘一浪更比一浪强’！这句话好！够味！”紧接着,他目光灼灼的盯着王崎:“我这里还有几个问题……不,不是考你。我知道,我已经考不了你了。我就是想知道这些问题后世是否有解。” king Qi nods: „Good.” 王崎点点头:“好的。” „Purely in well-mannered construction, whether to solve to result in cubic time of product, to turn the circle into the sides and trisection three topics?” “纯以规矩作图法,可否解得立方倍积、化圆为方、三等分角三题？” The well-mannered mapping, on Earth was also called the foot gauge mapping, purely and did not have scale division the method of square painting with the compass. Cubic time of product, namely asked made a cube the side, making this/should cube volume be to assign cube two times ; Turning the circle into the side, namely makes a square, making it with the round area that assigns equal ;. The trisection, is divided an assigning random corner/horn is three equal parts. 规矩作图,地球上又叫尺规作图,单纯以圆规和没有刻度的矩尺画图的方法。立方倍积,即求作一立方体的边,使该立方体的体积为给定立方体的两倍;化圆为方,即作一正方形,使其与一给定的圆面积相等;.三等分角、即分一个给定的任意角为三个相等的部分。 king Qi shakes the head saying: „Is not possible. First, turning the circle into the side, must return related to a number, namely girth quotient, the ratio of circumference diameter. But we can show with the arithmetic method, the girth quotient is a transcendental number anything is the transcendental number you and other asked again, in brief I first said that this transcendental number is absolutely impossible to make...... the cube to be accumulated with the compass to explain that purely square is a little difficult. First we must say several concepts. This concept came from in high the Tianyuan style common solution...... this issue can transform into the group theory issue......” 王崎摇头道:“都是不可能的。首先,化圆为方,必回涉及一个数,即圆周率,圆周径之比。而我们可以用算术方法证明,圆周率是一个超越数什么是超越数您等一下再问,总之我先说一点,这个超越数是绝对不可能单纯用圆规矩尺做得……立方被积解释起来有点困难。首先咱们得说几个概念。这个概念源自于高相天元式的一般解法……这个问题可以转换为群论问题……” Ka theory, one of the group theory important theories. 迦罗瓦理论,群论的重要理论之一。 Really clarified that the child listened to the curriculum of more than half a year compared with Zhi dragon honorable person, but the acceptance was instead inferior that this medieval is the family/home. He feels this somewhat incredible. 真阐子比芝龙真人多听了大半年的课程,但是接受能力反而不如这位中古算家。他就是觉得这一幕有些荒诞。 Did the test of reaching an agreement,...... turn into teaching probably? 说好的考验,好像……变成授课了？ Moreover by trial to trial teaching? 而且是被试炼者向试炼者授课？ This...... was too crazy!( To be continued.) 这……太疯狂了啊！(未完待续。)
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