查询词典 polynomial game

Firstly, this paper describes the history and state of the research to the minimal polynomial and the characteristic polynomial and then gives the main methods and its computational complexities for computing the characteristic polynomial and of a constant matrix, the characteristic polynomial of a polynomial matrix and the minimal polynomial of a polynomial.

本文先叙述了对最小多项式和特征多项式的国内外的研究历史和现状，然后给出了已有的计算常数矩阵特征多项式、多项式矩阵的特征多项式和常数矩阵最小多项式的主要算法及其复杂性。

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按&序&最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

It is proved that if'sparse NP complete sets under polynomial-time Turing reductions exist'then 'SAT is polynomial-time non-adaptively search reducible to decision', and that if 'P is not equal to NP'then either'SAT is not polynomial-time non-adaptively search reducible to decision'or'SAT is not polynomial-time truth-table reducible to bounded approximable sets', and that if'P is not equal to NP'then'sparse complete sets for NP under polynomial-time disjunctive reductions do not exist'.

因为用现有的证明技术不可能绝对地解决这个假设，本文研究了这个假设与其他关于SAT结构性质的假设之间的关系，证明了如果'NP有多项式时间图灵归约下的稀疏完全集'则'SAT是多项式时间并行地搜索归约为判定'，以及如果假设'P不等于NP'，则要么'SAT不是多项式时间并行地搜索归约为判定'，要么'SAT不能用多项式时间真值表归约归约为有界可近似集'。

When to get the coefficients of polynomial directly,the ill-conditioned matrix may be produced and effect the precision of result.Using orthogonal polynomial can avoid this problem.This paper introduces 4 orthogonal polynomial.In our discussion,it is proposed to use Chebyshev polynomial and Legendre polynomial,they are easier to sa...

讨论4种常用正交多项式在拟合卫星轨道与时间函数时的适用性；通过计算实例说明利用切比雪夫多项式和勒让德多项式做数据拟合时具有很高的精度；分析得出评定多项式拟合数据精度的适用阶数，实际应用中可降低工作量，提高计算效率；最后讨论同一多项式阶数下不同历元数对拟合结果的影响。

A new method that transforms bitlevel waveform polynomial to word-level polynomial model is given, allowing for simple composition This method offers an efficient way to determine whether two descriptions from different design levels are equivalent, so component reuse, synthesis and verification across design levels can be realized. In addition, an experimental system using C language is established, including modules such as representation of waveform polynomial, decision of path senstization, delay computing, clocking based on single-period sensitization, clocking based on multi-period sensitization, test generation considering noise and transformation from bit-level waveform polynomial to word-level polynomial model. They respectively used to test models and techniques proposed in this paper.

另外，基于C语言本人设计开发了一个实验软件系统，该系统包括波形多项式表示模块、敏化通路判定模块、延时计算模块、单周期敏化的最小时钟周期精确确定模块、多周期敏化的最小时钟周期确定方法模块、考虑噪声的测试生成模块和位级波形多项式描述转化成字级多项式描述模块，分别用于对本文各章中提出的自动化设计的模型和方法进行实验验证。

We meet in this game This is still infatuated with a network Let me be your friends one by one to leave the game To the pursuit of real-life time Then there is a fishes persist in the conviction Let me come to the so-called final Finally, we have a full class to We also become a game of a husband and wife Together to chat together to fight together to see the scenery Appear together in front of friends I have told you several times whether I would like to leave the game But do not know what I come back time and again the Now, I once again decided to leave the game I do not know how long this can leave I do not dare In fact, said to leave the game say that the discussion was not as good as you After the full level because I slowly began to weary of the game Do you have is a day I insist on the belief line Recently, I go to bed every night before you would like to But not like before, like the game's equipment But in reality you imagine how a person What kind of character, and so there We will occasionally illusion of reality can come together The game took a quarter of my college life time Reform is the time to leave As in real life too cruel I felt pressure brought about by the reality Whether in life or learning I really like this now become a regular university, said the University graduate unemployment is equivalent to That is not what I want I am not worried that I can not find a job after graduation Not because of the need to Go on like this I do not even know that after I graduated I can do what I do Looking for a job on it is an impossible dream of Do you still remember I remember a long time ago I asked you I ask you to do what - the sun - the stars - the moon I have become a game where you have the sun I hope I can become your reality stars I would also like to leave after you I hope you will be able to chat with me in the past I hope we can do Haojuhaosan The way the election is himself Life must continue

我们在这场比赛中相遇这是与网路仍痴心让我成为你的朋友们一个接一个，去游戏现实生活时间的追求然后有一个鱼类坚持信念让我谈谈所谓的决赛。最后，我们必须以一个完整的类我们也变成了一个游戏的丈夫与妻子一起，一起聊天，争取一起看风景前面的朋友在一起显示我已经告诉你几次是否我想离开游戏但不知道什麼我回来一次又一次，现在，我又一次决定离开游戏我也不知道多久这可以离开我不敢其实，说要离开讨论不是与你的一样好的游戏说后全部级别因为我慢慢开始厌倦游戏你是我坚持的信念行的一天最近，我去睡觉每天晚上之前您想要但不是象以前，像游戏装置但在现实中你就可以想像如何一人什麼样的字元，并因此有我们偶尔会现实的幻想可以走在一起这场比赛拿了我的大学生活时间的四分之一改革是离开的时候在太残酷的现实生活中的作为我觉得压力带来的现实无论是在生活或学习我真的这样现在成为一个说的正规大学，大学毕业生失业等於这是不是我想要的我不忧虑我不能毕业后找到一份工作不因为的需要这样下去我甚至不知道，我毕业后我可以做我做些什麼找一份工作就是一个不可能的梦想的你还记得吗我记得很久以前我就问你我问你做了什麼--星星-太阳月亮我已经变成一场游戏，在有阳光的地方我希望我可以成为你的现实星星我亦想在此之后你离开我希望您将能够在过去与我聊天我希望我们可以做 Haojuhaosan 选举方式是自己必须继续生活

Network game industry what course to follow, it is to be in thearchy is blatant in trend be on the wane, still leave in fight to the bitter end give a new way, probably who said to also do not calculate, even if be Chen Tianqiao, Shi Yuzhu and fourth Lei, set sth afoot from 2009 case, actually game manufacturer also realised this, the attempt of blame mainstream game that takes out oneself and other sport company start associated operation, the attempt publicizes his game ceaselessly in He Sui film, the attempt puts commerce on advertisement in his game... the some day that will come probably, all Chinese, see TV need not pay again close inspect cost, play game to also need not spend one wool money really, be like like ad was being made in TV, game world also so not will dinkum, also will evolve to offer company level to apply in game by company level user, for instance inside activity of buy advertisement, sales promotion, OEM is bound, even need not which show card to cannot be in what and so on upgrades in game " limitative class " sale, perhaps friends read this meeting to feel now is an incredible story, but in game world, I think truly, everything is all possible!

网络游戏产业将何去何从，是在众神喧嚣之中走向衰落，还是在血战到底中开出条新路，或许谁说了也不算，哪怕是陈天桥、史玉柱和丁磊，从2009年发轫起，其实游戏厂商也认识到了这一点，拿出自己的非主流游戏尝试和其他游戏公司搞联合运营，尝试在贺岁电影中不断宣传自己的游戏，尝试在自己的游戏中投放商业广告……或许将来的某一天，所有的中国人，看电视不用再付收视费、玩游戏也真的不用花一毛钱，就好像电视里打了广告一样，游戏世界也将不那么纯粹，也将演变成由企业级用户在游戏中提供企业级应用，比如内置广告、促销活动、OEM捆绑，甚至于不用哪家的显卡就不能在游戏中升级之类的"限制级"销售，也许现在朋友们读到这会觉得是天方夜谭，但在游戏世界里，我确认为，一切皆有可能！

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A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。