查询词典 mapping norm

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。

The first part is the preparatory knowledge, introducing the contracting mapping principle which through the basis of vector and matrix norm, derivative and differential theorem of mean to thorough understanding the nature of soluble for nonlinear equations.

第一部分为预备知识，重点介绍压缩映象原理。通过引入向量与矩阵范数，导数与微分中值定理，以求深入理解非线性方程组可解性的基本理论。

The concepts of accretive mapping and pseudo-contractive mapping wereintroduced by the studying of nonlinear evolution equations,many significantproblems and engineer problems can be modeled in terms of the form.

中文摘要：增生与伪压缩映射的概念是在研究Banach空间中的非线性方程解的存在性问题时提出的，许多工程和物理学中的问题都可以抽象为上述非线性发展方程。

Meanwhile, important random acute angle principle、theorem of random full mapping and theorem of random one-one mapping are proved.

同时我们证明了重要的随机锐角原理、随机满射定理和随机一一映射定理。

November 6, the Yellow River Hydrographic Survey mapping agency leaders to lead the Working Group on in-depth Henan Xinzheng Air Port 1:1000 topographic map surveyed area, condolences to fighting at the frontline of the mapping team.

11月6日，黄河水文勘察测绘局领导同志带领工作组深入河南新郑航空港区1：1000地形图测区，慰问奋战在一线的测绘队员。

Mapping of microsatellite markers in two wheat crosses segregating for Pm23 and Pm4b, respectively, in combination with the reported mapping of Pm4a, indicated that the three genes were all linked to the marker Xgwm356 with a distance of 3-5 cM. Allelism between Pm4b and Pm23 was then confirmed, when the progenies of a cross between VPM1 (Pm4b) and Line 81-7241, were shown to be all resistant to a B.

利用获得的8个标记对Pm4b进行遗传作图，结果表明，4个标记与Pm4b连锁(Xgwm356、Xgdm93、Xbar76和Xbarc122)。3个抗白粉病基因(Pm4a、Pm4b和Pm23)均与标记Xgwm356连锁，遗传距离为3-5cM，等位性测验证明Pm23与Pm4b为等位基因。

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。

With the emgergence of new theories and technologies in photogrammetry, the production mode in the phtogrammetry has completed the transformation from the analytical mapping to the digital mapping gradually.

随着摄影测量新理论新技术的发展，摄影测量的生产方式已逐渐完成由解析测图向数字测图方式的转变；同时新时期军事测绘保障对数字图的依赖性越来越强。

And then, the exploitation methods and the key techniques of USIS, including data base design, main surface realization, MAPGIS secondary development, OpenGL 3D mapping techniques and digital mapping and intellective analytical technology, are discussed.

介绍了建立地下空间信息系统的目的和意义，论述了USIS的开发方法及其关键技术，包括：数据库技术、界面实现技术、MAPGIS二次开发技术、OpenGL三维图形开发技术、数字制图与智能分析技术等，并结合东深供水改造工程地下空间信息系统进行了开发方法和关键技术的应用研究，最后，对USIS的发展趋势作了较深入的分析，指出了今后研究的几个主要方向。

Successfully developed CNC Mapper by the National Mapping Bureau Prize; orthographic projector and ancillary procedures, by National Science and Technology Progress Award in 1985, third prize; analytical mapping instrument become the country's provinces and cities large-scale production of Map of the mainstream instruments, by 1992 the first prize of national scientific and technological progress; in 1998 he served as project leaders of research teams completed 863-308 Digital Photogrammetry System JX4A-DPS through national identification, which are sold nationwide and exported abroad, was in 2001 National Science and Technology Progress Prize.

研制成功的数控测图仪获国家测绘总局一等奖；正射投影仪及与之配套的程序，获1985年国家科技进步奖三等奖；解析测图仪成为全国各省市生产大比例尺地图的主流仪器，获1992国家科技进步奖一等奖；1998年他任课题组长完成的863－308项目全数字摄影测量系统JX4A－DPS通过国家鉴定，销往全国并出口国外，获2001年国家科技进步一等奖。

I was just taking her hand, to help her out of a car, and I knew it.

我只是握着她的手，扶她下车，但我知道这一切。

China and South Korea have excoriated Japan over its approval of new school books which they say whitewash the atrocities committed during Japanese occupation, and anti-Japanese protests have been held in Chinese cities. The lingering bitterness over Japan's past imperialism still threatens to mar relations between the big East Asian powers

中国和韩国强烈谴责日本通过新的中学历史教科书，他们认为这一教科书掩盖了日本在其占领期间所犯下的残酷暴行，反日抗议活动在中国数座城市发生，历史上日本帝国主义制造的痛楚无法被忘却，这有可能破坏东亚强国间的关系。