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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 main research contents and results are given as follows:(1) Principles and characteristics of different types of polarization controllers are analyzed, the compare of the difference of these polarization controllers are discussed based on them, drawn a conclusion that the polarization controller which based on squeezing fiber and has variable delay quantity are suitable for high speed optical communication system.(2) The reset principle of the typical four channel polarization controller which is based on squeezing fiber is analyzed, and the design of its concrete reset scheme is given based on them. The reset process and the corresponding operation list are given in detail.(3) The systematical experiment is made when the typical four channel polarization controller is put into the PMD compensator. The experiment result showed that the channel which needs reset can efficiently return to the mean place, and the effect of reset was good, it didn't cause any badness infection on PMD compensation.(4) A new type optical signal time-domain depolarizer is given, and a new PMD compensate method is given based on it.
由此得出延迟量可变型光纤挤压型偏振控制器适用于高速光通信系统的结论;(2)具体分析了典型的四通道光纤挤压型偏振控制器的复位原理,并在此基础上对其进行了具体复位方案的设计,给出了各种情况下的详细复位流程和相应的复位操作列表;(3)将四通道光纤挤压型偏振控制器应用于偏振模色散补偿器中进行系统实验,实验结果表明,需要复位的通道能有效地回到中间值,复位效果良好,且复位未对PMD补偿产生不良影响;(4)设计了一种新型的光信号时域退偏器,并基于该退偏器提出了一种新型的偏振模色散补偿方法。
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Given two bridge-builders, a man and a woman, given a certain bridge to be built, and given as always the unchangeable laws of mechanics in accordance with which this special bridge and all other bridges must be built, it is simply inconceivable that the preliminary instruction given to the two bridge-builders should differ in quantity, quality, or method of presentation because while the bridge is building one will wear knickerbockers and the other a rainy-day skirt.
假定分别有男女两位桥梁建造者,要去建造指定的一座桥,在建造这一独特的桥及其它一般的桥的力学规律总是不变的情况下,简直不可想象,男女建造者所受的基本教育应有所不同;更不可想象,只是因为在施工时,一个穿灯笼裤,另一个穿防雨裙,而必须让他们在质量、数量及教学方法上接受不同的教育。
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The phylogeny and applied prospect of MES are summarized in the paper. The principle of this system is analyzed from the point of view of acoustics. The surveying and filtering technology of auxiliary parameters, sounding data and the theory of image form, backscatter strength data processing, are researched deeply in the paper. The optimal model of velocity of sound is given. For sound ray tracing, some methods of correction of sound ray curve are developed. At the same time, an ideal model of sound ray tracing is proved and given. The GPS technology is applied for the determination of tide, attitude of vessel. Moreover, some methods are given. As an important topic, the systematic error is discussed in the paper. Some filtering methods are researched in this paper. Based on the current methods of image processing, the procedure and methods are tested and given that adapt to sonar image processing.
本文研究的工作是在总结多波束声纳测深系统的发展历史、应用前景的基础上,从声学角度分析了多波束系统的工作原理;对多波束辅助参数的测定和滤波方法、测深数据的滤波方法、多波束声纳图像的形成机理、图像处理以及最终应用等作了比较深入的研究;得出了适合于多波束精密深度计算的最优声速模型和声线改正模型;提出了 GPS 载波相位定位技术用于多波束辅助参数测量的思想、算法,改善了多波束系统的作业模式;系统地分析了深度数据的误差来源和类型,首次将系统误差作为影响测深精度的主要因素给以研究,并给出了削弱系统误差的方法,提高了深度数据的质量;对多波束声纳图像的形成、处理方法进行了细致的研究,给出了适合多波束图像处理的算法和流程,并从理论和实践上对声纳图像的应用进行了比较全面的研究。
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Methods: Wistar rats were divided into normal group, model group, TCM group Ⅰ, TCM group Ⅱ and western medicine group. In addition to the normal group, the other four groups were reproduced animal model of pulmonic fibrosis. The model group were given normal saline gavage, The TCM group Ⅰ given Feifltkang Mistura (1g/ml) gavage, The TCM group Ⅱ were given Fe4fukang Mistura (0.5g/ml) gavage, WM group were given prednisone gavage. Half of each group were taken blood to test in 28th, 56th day.
选择Wistar大白鼠随机分为正常组、模型组、中药Ⅰ组、中药Ⅱ组、西药组,除正常组外,其余四组均复制肺纤维化动物模型;模型组用生理盐水灌胃,中药Ⅰ、Ⅱ组分别用高、低剂量肺复康合剂灌胃,西药组用强的松灌胃;各组分别检测血清相关指标。
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Had been doing have/has been doing /一般进行完成过去 was/were given was/were given had been given being 现在 am/is/are given am/is/are being given have/has been given 将来 will/shall be given / will/shall have been given /过去将来 should/would given / should/would have been given be
完成进行 2。被动形式// CET-4 常考的三种时态:过去完成时;将来完成时;完成进行时。时间状语从句当中的时态:一般过去时所有的过去用一般现在时表示现在和将来现在完成时现在完成和将来完成一。非谓语动词一。
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Had been doing have/has been doing 一般进行完成过去 was/were given was/were being given had been given 现在 am/is/are given am/is/are being given have/has been given /将来 will/shall be given / will/shall have been given /过去将来 should/would be given / should/would have been given
不定式:不定式:二不定式常考的考点:不定式常考的考点: 1不定式做定语不定式做定语----将要发生将要发生 2不定式做状语----目的不定式做状语目的 3不定式充当名词功能不定式充当名词功能---To see is to believe。
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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。
- 相关中文对照歌词
- Given The Dog A Bone
- Given A Chance
- All That I've Given Away
- Nothing, Save The Power They're Given
- Given Half The Chance
- Given It All
- On Any Given Night
- On Any Given Day
- All You've Given
- Blessed, Broken & Given
- 推荐网络例句
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I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""
客人们在卡罗利娜·埃凯家里,举止就文雅一些,因为卡罗利娜的母亲治家很严厉。
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Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.
由著名品牌 Herm è s 设计,这件高贵的制服是香港本土制造,是我们第一套不配帽子的制服。
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Do not 'inflate' your achievements and/or qualifications or skills .
不要 '夸大' 你的业绩或成果,条件或者技能。