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I cannot explain it to you because you were never given that choice; it was never given to you to remember what happened, five hundred years ago, it was never given to you to replace your limiters, it wasn't even given to you to choose to leave the mountain and follow Sanzo. YtmrRDQs
我无法向你解释,因为你从未被给予这样的选择权;从未给过你机会去记住曾发生过什么,五百年前的事情;从未给过你机会戴回你的妖力制御装置;甚至都从未给过你机会去选择离开山上,跟随三藏。
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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。
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And then some ellipses that AUGR estimator is better than the OLS estimator and AUGL estimator is better than the OLS estimator are given, respectively.Second, the definition of the almost unbiased unified biased estimator is proposed. This definition includes the familiar almost unbiased estimators in literatures, and it is the unified expression of the familiar almost unbiased estimators. Followed the biased and variance are compared of AUUB estimator and the unified biased estimator, respectively. AUUB estimator has smaller bias than UB estimator and the variance of AUUB estimator is between the variance of UB estimator and 4 times of the variance of UB estimator. Finally the properties of AUUB estimator are discussed. The conclusion is gained that there are parameters made AUUB estimator is better than OLS estimator in terms of their mean square error. The sufficient and necessary condition that AUUB estimator is admissible is given. The ellipse is given that AUUB estimator is
然后给出了几乎无偏统一有偏估计的定义,该定义包括了文献中常见的几乎无偏估计,实现了常见几乎无偏估计的统一表达式;接下来我们比较了几乎无偏统一有偏估计与统一有偏估计的偏度与方差,得出了几乎无偏统一有偏估计比统一有偏估计有较小的偏度,几乎无偏统一有偏估计的方差介于统一有偏估计的方差与统一有偏估计的方差的四倍之间的结论;最后我们对统一有偏估计的主要性质作了讨论,证明了存在参数K,S使得几乎无偏统一有偏估计在均方误差意义下优于最小二乘估计的结论,给出了几乎无偏统一有偏估计为可容许估计的充要条件,还给出了在均方误差阵意义下几乎无偏统一有偏估计优于最小二乘估计的椭球。
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The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.
对矩阵A是非对称情形,给出了解的一般表达式,证明了最佳逼近问题解的存在唯一性,并给出了其解的表达式,描述了求解问题的算法;讨论了带对称和双对称约束的总体最小二乘问题,利用Ricaati矩阵方程的理论得到了解存在的一个充分条件,分别对对称矩阵和双对称矩阵两种情形,给出了解的一般表达式,证明了最佳逼近问题解的存在唯一性,给出了其解的表达式,提出了求解这些问题的算法,并给出了数值例子。
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The given Branch and Bound method can find out the optimal solution of the problem in small size while the given GA implement can quickly find out the approximate optimal solution of the problem in large size. The given GA implement proves to be very effective by numerical experiments and examples.
对于问题的较小规模情形分支定界法能精确地求得最优解;对于问题的较大规模情形遗传算法能很快地求得近似最优解;算例及大量实验表明用遗传算法来求问题的近似解是成功的。
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And the proof is given. 2. In Gaussian HJMframework, the formula in closed form for the valuation of European basket-lookbackcall option on coupon bonds is given by forward measure approach in forward ratemodel. And the proof is given.
在Gausian HJM框架下,应用远期利率模型以及远期测度方法,给出以零息债券为标的资产的欧式一篮子回望期权定价公式的解析解,并给出该定价公式的理论证明。
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The remainder of the smoothed monthly sunspot numbers of cycle 23 is given by using the method, and a comparision of this mthod with the similar cycle method is given as well.A basis for the determination of minimum time of a solar cycle and a basis for the determination of maximum time of a solar cycle are given.
利用已知的22个完整太阳活动周平滑月平均黑子数的记录,给出了对正在进行的太阳活动周发展趋势进行预测的方法,并应用于第23周,同时与其它相似周方法给出的预测结果进行了比较。
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The concept of synchronization and several kinds of classical synchronization method are given, then the parameter identification process of chaotic system based on adaptive synchronization is given. Parameter identification problem can be converted into optimization with a given index function. Finally the paper explains the whole process with discrete Henon system and continuous Lorenz system.
首先,介绍了同步的定义和几种经典的同步的方法,说明了基于自适应控制方法的混沌系统参数辨识过程,并把参数辨识问题转化为对性能指标的优化问题。
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It is greatly efficient, because this overcomes the shortcoming of Eratosthenes algorism that need compare every natural number in the given range, This algorism can acquire all prime numbers between 1 and any given natural number m This article also has given the complexity of the algorism, and even if sift in the algorism were different, it will be...
这避免了传统Eratosthenes 筛法需要比较每个数的缺点,极大地提高了算法效率。该算法能用于求1至任意自然数m之间的所有素数。同时还给出了该算法的最多比较次数公式,即使用不同的筛子利用该公式也容易求得其最大比较次数。
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In the last part of the paper, we construct a family of 2 parameter cubic algebraic curves interpolating two given endpoints and two given tangent lines and two given curvatures at these two endpoints with different initial cases in detail.
引 言三次参数曲线在计算机辅助几何设计与计算机图形学领域一直扮演着十分重要的角色,这主要是由于三次参数曲线是具有奇异性的次数最低的曲线,这些奇异性包括尖点、拐点和闭圈。
- 相关中文对照歌词
- Tô Maluco Por Você
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- Amar Não É Pecado
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- 推荐网络例句
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Metrorrhagia is also gynaecological problems of common diseases.
崩漏是妇科常见病也是疑难症。
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WordFTP gives you the convenience and timesaving you need.
wordftp让您的方便和省时您所需要的。
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These kinds of investments collect growingly large institution assets and individual savings to the capital market.
资产管理业务需要创新,创新分为市场创新和管理模式创新两种。