查询词典 locally analytic function

Also, if a complex analytic function is defined in an open ball around a point x 0, its power series expansion at x 0 is convergent in the whole ball. This is not true in general for real analytic functions.

复解析函数则不同：凡复解析函数必为全纯函数（即复可导，以实变量表示则是满足柯西-黎曼方程），反之亦然，因此全纯函数与解析函数在复分析中是同一类对象。

Textbook is not only the primary basis for students to grasp knowledge and method but also resort and carrier to train capability. New textbook has been tested in some provinces and cities since 1997, some educational and teaching concepts in new textbook inosculates with new mathematics course which is being tested now, it has taken great role for the transition of teachers' teaching idea and students' learning way. This paper will analyze Plane Analytic Geometry high school textbook of 2004 edition which is published by People's Education Publishing House in some aspects such as content structure, educational function, psychological characteristic according with student cognizance and teaching through the method of content analysis, investigation, comparison and statistical analysis . The paper's purpose is to excavate the potential value of the textbook and understand educational idea and concept of new textbook so that students can grasp more basic thought of analytic geometry in teaching and can learn studying and discovering and solving problem ,at the same time it builds a kind of independent, disquisitive, cooperative and lifelong learning pattern.

教材既是学生掌握知识和方法的主要依据，又是培养学生能力的凭借和载体，自1997年新教材在部分省市实验以来，新教材中所体现的一些教育教学理念与现在正在实验的高中数学新课程相吻合，对教师的教学观念和学生的学习方式的转变都起到了很大的作用，本文将对人民教育出版社2004版普通高中教材中的平面解析几何部分通过内容分析法、调查研究、比较研究、统计分析等研究方法从教材的内容结构、教育功能、符合学生认知心理特点、教学等几个方面进行分析，目的是挖掘教材内容的潜在价值，真正领会新教材所蕴涵的教育思想和理念，以使教师在教学中能够让学生更多的掌握解析几何的基本思想，以培养学生学会学习、学会发现问题和解决问题，为学生构建一种自主的、探究的、合作的、终身的学习模式。

By level function,ε-subdifferential, normal cone and dual function, global optimal solutions for a convex function in locally convex topological vector space and a few of equivalent forms on it are obtained. Maximum points are characterized.

讨论局部凸拓扑向量空间中凸函数的全局最优解，用水平函数、ε-次微分及法向锥和共轭函数等工具刻画其最大值点，得到最优解的几个等价形式。

In (1), the nonlinear function f is a known nonlinear continuous function of x , and the control gain g is a known nonlinear continuous and locally invertible function of x .

在（1）中， f是一个关于已知的非线性连续函数 x 的非线性函数，控制增益 g是关于 x 的已知的连续非线性的函数。

The Lewy equation is locally solvable and globally solvable,and we have got the analytic expressions of the local solution and the global solution.So we obtain the conclution "when ,Lewy's equation (5) has solution ".

Lewy方程是局部可解与整体可解的，我们已经获得了其局部可微解与整体可微解的解析表达式，获得了"Lewy方程（5）当，则有解"的结论。

By getting Lebesgue characteristic of integrable function of Riemann from the definition of Gather zero measure, discussing the relation between almost continuous everywhere and existent of limit, it gets the theory which is from the function integrability to the consecution and from consecution to the limit existence .i.e. the almost limit existence is equal to the almost continuous everywhere in the integrable function of Riemann. It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，从而得到了从函数可积性到连续性，从连续性到极限存在性的函数特性理论，即可积函数中极限的几乎处处存在与几乎处处连续是等价的，得出比正规函数更加宽泛的统一条件，得出了有界变差函数是可积函数的结论。

This article intended to analyze and compare its function in English and Chinese social communication from the following aspects: protocol function in personal communication; active function in language speaking; humorous function in making the meaning of words more funny; deceit function in coving up the truth; ironic function in lashing out against the society and human nature.

本文从五个方面分析和比较了委婉语在中英社会交际中的功能，即：人际交流中的礼仪功能，言谈措辞的积极功能，使语言妙趣横生的幽默功能，掩盖事实真相的欺骗功能和鞭挞社会，人性的讽刺功能。

Bring forward a kind of learning algorithm fitting on the base of spline function, because the spline function has good flexibility and quadratic smoothing property, the search problem of network weight functions training can be converted into the resoluting extreme value problem of the plurality function through using spline function to represent network input and link weight functions, thus the PNN can be trained with the help of the existing neural network learning algorithms;④build a kind of learning algorithm base on the alternate of Walsh function, the complexity of network computing can be decreased through using the complete orthogonality of Walsh function corollary.

应用结果表明该算法收敛速度快，稳定性好；③提出了一种基于样条函数拟和的学习算法，由于样条函数具有很好的柔韧性和二次光滑性，将网络输入函数和连接权函数用样条函数的形式表示，可把网络权函数训练的函数寻优问题转换为多元函数求极值的问题，从而可借助于现有的神经网络学习算法训练过程神经元网络；④建立了一种基于Walsh函数变换的学习算法，利用Walsh函数系的完备正交性，可大大降低网络计算的复杂度。

The system can receive data from the STEP-NC interpreter by using the resource model of the function block type database, then translate the receiving data into the data of function block format; the tool path generator can dynamically transfer the function block in the function block type database; it can also use the data of function block management resource to export DSP order; depending on VC to edit function database and Dynamic Linkable Library, we can connect the tool path generator with research platform, use the tool path generated from the tool path generator to drive the tool move.

结果 通过功能块类型库中的资源模型接收STEP-NC解释器解释的数据，并将接收的数据转化成功能块格式的数据；依据工艺规划好的加工工序，刀具路径生成器动态调用功能块类型库中的功能块；利用功能块处理资源提供的数据，输出DSP指令；依靠VC语言编辑函数库和动态链接库，将刀具路径生成器与实验平台建立关联，基于刀具路径生成器生成的刀具轨迹驱动机床刀具运动。

This paper expounds six functions of context that is omissible function, simplification function, definiteness function, explanation function, generative function and restrictive function.

接着，本文简要概述了中外学者研究语境的情况，阐述了语境的六种功能：省略功能、简化功能、确指功能、解释功能、生成功能和制约功能。

You think you're a big shot.

你认为你是一个大人物？

All states are equal, and none can receive special treatment from the federal government.

所有的州都是平等的，任何州都不能获得联邦政府的特别待遇。