查询词典 equivalent functions

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。

We prove the existence theorem of rationed with Borel points for meromorphic functions in the unit circle, discuss the operations of algebroid functions and the existence theorem of Nevanlinna direction of algebroid function dealing with mutiple values, and obtain some uniqueness theorems dealing with mutiple values of algebroid functions.

证明了单位圆内限定Borel点的亚纯函数的存在性定理，讨论了代数体函数的运算性质以及涉及重值的Nevanlinna方向的存在性定理，得到了一些涉及重值的代数体函数的唯一性定理； 2。

The content of this course is: analytic function (the definition of analytic function, elementary functions, etc.), conformal mapping (the definition if conformal mapping, fractional linear functions, elementary mappings, etc.), complex integration (Cauchy's integral formula, Cauchy's theorem, etc.), Series (Laurent Series, singularities, local property, etc.), residues and its applications (the Residues Theorem, integration by residues, the Argument Principle, the Maximum Principle, Schwarz's Lemma, etc.), analytic continuation and harmonic functions, etc.

本课程内容主要包括：解析函数(解析函数的定义、初等函数等)、共形映射(共形映射的定义、分式线性变换及初等映射等)、复积分(Cauchy 积分公式、 Cauchy 定理等)、级数(Laurent 级数、孤立奇点、局部映射等)、留数及其应用(留数定理、利用留数计算积分、幅角原理、最大模原理、 Schwarz 引理等)、解析开拓和调和函数等内容。

On the applications of the uniformly Besicovitch almost periodic functions to differential equations, the main works are as follows:First, the paper proves that the space of the uniformly B2 almost periodic functions, with a special norm, is a Banach space, and then the Fixed Point Methods could be used in this function space.Second, since the space of the uniformly B2 almost periodic functions is per-fect, the paper investigates the existence and uniqueness of uniformly B2 almost periodic solution of a wave equation involving reflection of the argument by the principle of contraction mapping.

关于一致Besicovitch概周期函数在微分方程中的应用，本文主要做了以下工作：第一，证明了一致B~2概周期函数空间在其特定范数下构成Banach空间，从而可以在此函数空间上应用不动点定理；第二，由一致B~2概周期函数空间的完备性，应用压缩映像原理，讨论了一类满足一定初始条件的带反射变量的波方程一致B~2概周期解的存在唯一性。

Tins article will tell us the functions of CAI in English classroom teaching:1. the functions in English classroom teaching1. 1 enrich the teaching contents and change the monotonous design of traditional teaching1. 2 arouse the students interest and stimulate the studyintention1.3 make initiative study change into passive study1.4 lighten the students schoolwork2. the functions in modern education2. 1 remedy the differences between different schoolsand areas 2. 2 improve the process of teaching management2.3 enrich the reading matter of the outside class2.4 develop the long-distance education by using the multimedia and internet technologyBecause there are so many advantages about multimedia. many schools construct campus net and multimedia classrooms. Then designing and making CAI software became an important problem for these schools, so these article can tell us how to design and make it. In order to make CAI software better, the articled also tell you how to pay attention to something .That is the content of my article , I hope I ran consult it with you .Thank you.

充分运用现代教学技术武装我们的教学，对原有的教学生产方式来一场革命，这是教育实践的呼唤，也是时代的呼唤，本论文从多媒体在英语课堂教学中的作用出发，来说明运用多媒体进行计算机辅助教学的作用： 1 在英语课堂教学中的作用 1.1 丰富教学内容改变传统教学的单调模式 1.2 激发学习兴趣促进学习动机 1.3 变被动学习为主动学习有效体现教学的个体化和因材施教 1.4 为教师提供形象的表达工具有效地减轻学生的课业负担 2 现代教育中的作用 2.1 弥补不同学校、地区之问教学质量的差异 2.2 改善教学管理过程改进教学效果 2.3 丰富的课外读物 2.4 多媒体技术与网络技术的结合可有效地开展远距离教育正因为多媒体具有这么多的优点，所以许多学校多投资兴建了校园网和多媒体教室，如何设计和制作高质量的多媒体课件是许多学校迫切需要解决的问题，所以本文接下来谈论的是如何设计和制作多媒体课件以及在设计和制作过程中如何应用心理学上的注意规律等，仅供各位同行参考。

In this dissertation, we study the mean value problems of some special number theory functions, relation with some important functions and a series of asymptotic formulas about some hybrid functions.

本文研究了一些特殊数论函数的均值估计问题，以及它们与一些重要函数之间的联系，有关和式的一系列加权均值。

Monotone functions; functions of bounded variation and Borel measures; absolute continuity; differentiation and integration; convex functions; semicontinuity; Borel sets; properties of the Cantor set.

单调函数；囿变函数；绝对连续性；微分和积分；凸函数；半连续性；博雷尔集类；康托集的性质

After analyzing the structure of sentences,Tarski found that, it was impossible to define the truth of the calculus of classes directly,but making use of the structure character of sentential functions could give us the approach to escape the dilemma:Firstly,we could defined the concept of satisfaction in sentential functions by means of recursive method;Then,we could regard sentences as a peculiar form of sentential functions;Finally,with the help of the concept of satisfaction,we could defined successfully the truth of the calculus of classes.

通过分析语句的结构，塔斯基发现很难直接定义出类演算语言的真概念，而语句函项所具有的可递归形成的结构性质可以使我们得到脱离困境的办法：先采用递归方法针对语句函项定义出满足概念，然后把语句作为语句函项的特殊形式，借助于满足概念最终可以得到类演算语言的真概念定义。

The V-system is a new class of complete orthogonal functions system in L2[0,1], which is composed of piecewise kth-order polynomials. There are continuous functions as well as discontinuous functions in V-system.

V-系统是一类由分片多项式构成的正交函数系，函数系中既有连续函数又有间断函数。

According to these two joint density functions, various joint probability density functions between the ambiguity solution and the position parameter solution are obtained, and various conditional probability density functions of baseline position parameter vectors are also obtained.

根据这两个联合概率密度公式得到了各种类型的模糊度和基线位置参数向量的联合概率密度函数，还得到了各种类型基线位置参数向量的条件概率密度函数。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。