且

It is proved that the least squareestimators of linear estimable functions of regression coefficients areadmissible under matrix loss and minimax. The necessary and sufficientexistence conditions are derived for the uniformly minimum riskequivariant estimators of linear estimable functions ofregression coefficients under an affine group and a transitive group oftransformations respectively. It is also proved that there are no UMREestimators ofthe covariance matrix and variance under an affine groupof transformations and quadratic loss functions.

本文证明了回归系数的线性可估函数的最小二乘估计是极小极大的且在矩阵损失函数下是可容许的；还分别在仿射变换群和平移群下导出了存在回归系数的线性可估函数的一致最小风险同变估计的充要条件，并证明了在仿射变换和二次损失下不存在协方差阵和方差的 UMRE 估计。

Linear constraint particle swarm optimization algorithm is a global optimization dealing with constraints of non-negative and affine real space.

粒子群算法虽有全局优化性能，但也会陷于局部极小，且缺少约束处理机制。

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。

Using the substitution-elimination method affine algebraic variety can be resolved to pure d-dimensional subvariety and expressed by an algebraic hypersurface on d+1-dimensional space with a sequence of elimination-polynomial systems. All 0-dimensional solution can be found, too.

利用变换消元法可以把代数簇分解成纯d维的子簇，并把代数簇表示为d+1维子空间上的超曲面形式和一系列的消元多项式组，且能求出全部孤立解，同时给出了算法及其在多项式因式分解中的应用。

Should any part of the License for any reason be judged legally invalid or ineffective under applicable law, such partial invalidity or ineffectiveness shall not invalidate the remainder of the License, and in such case Affirmer hereby affirms that he or she will not exercise any of his or her remaining Copyright and Related Rights in the Work or assert any associated claims and causes of action with respect to the Work, in either case contrary to Affirmer's express Statement of Purpose.

若因为任何原因该「授权」的任一部分在相关法律下被法院裁定为无效，该无效部份不因而使「授权」其余部分亦无效，且在这个情况下，宣告者於此声明他/她将不会行使任何他/她对本著作剩余的著作权及其相关权利或提起任何与本著作有关的相关联诉讼主张，在前述任一情形，本处之声明并不会与宣告者明示的「目的之声明」相违反。

Men must make sure they are coordinated and dress affluently: women love good quality clothes on men.

男士必须确保他的衣服和谐且高档：女人喜欢穿着有品质的衣服的男人。

AFI and AC may affect ultrasonographic diagnoses, with significant differences.

AFI、胎儿腹围对羊水量测量有影响，且具有显著性差异（P.01）。

By this statute it is enacted, that if any person shall of malice aforethought, and by lying in wait, unlawfully cut out or disable the tongue, put out an eye, slit the nose, cut off a nose or lip, or cut off or disable any limb or member of any other person, with intent to maim or to disfigure him; such person, his counselors, aiders, and abettors, shall be guilty of felony without benefit of clergy.

通过这部法案规定，即如果任何人恶意预谋，并伺机非法切掉他人的舌头或丧失其能力，挖除眼睛，割裂鼻子，切除鼻子或嘴唇，或切除任何肢体或丧失其能力，意图使其残废或毁容；对于这样的人，以及他的建议者，协助者和教唆者，将被判处重罪，且得不到牧师的帮助。

Mean age was 42 years and 89% were African American.

平均年龄为42岁，且89％为非裔美国人。

On productions at the National Theatre, Skini and Nea Skini theatres, Aplo Theatro, Epochi theatre, Amphitheatro, etc., of plays by Shakespeare, Goldoni, Griboyedof, Turgenief, Chekhof, Gorki, O'Neill, Tennessee Williams, Arthur Miller, Pinter, Mammet, Orton, Aristophanes, Hourmouzis, Loula Anagnostaki, G.Dialegmenos, Euripides etc.At the cinema: Since 1983 she has been a permanent collaborator with Theo Angelopoulos, composing music for his films Voyage to Cythera, The beekeeper, Landscape in the Mist, The Suspended Step of the Stork, Ulysses' Gaze and the Cannes Festival Golden Palm award-winning film, Eternity and a Day. She has also composed music for films by Dimitris Mavrikios, Takis Kanelopoulos, Tonia Marketaki, Christoforos Christofis (Wandering / Rosa), Lefteris Xanthopoulos, Giorgos Koras Margarethe von Trotta (L' Africana), etc.

然后她回到雅典，上电台，办民族音乐试验室，1979年被她视为命运的转折点，她开启了电影作曲的职业生涯，合作者是希腊诗人兼新电影流派的导演Chistoforo Chillstofis，1982年Eleni Karaindrou因前者的影片"芳名罗莎"在塞瑟隆尼基电影节上获得原创音乐奖，颁奖人正是评审团主席Theo Angelopoulos，他们的合作也由此开始，以后的九年可谓硕果累累，两个人物以类聚，谁都没有辜负了彼此间的厚望。80年代安氏创作了他的"漂泊"三部曲，当首篇"塞瑟岛之旅"告竣之后，安氏在访谈录中称赞Eleni正是他所需要的那种博采众长且深具古典音乐实力的最佳搭档，Eleni不仅创作电影音乐，而且也涉足希腊的先锋戏剧，她的第二个丈夫就是一位戏剧导演，Eleni迄今已为35部剧本谱写了音乐。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。