映射

A methodology of noise-like key generation is presented. Chaotic process of tentmap function is used as a deterministic generation of noise-like key, image storage and retrieval are completed in a algebraic form. A mathematics model of noise-like chaotic coding memory is constructed, meanwhile the basic mechanism of circulant convolution and circulant correlation in image information storage and retrieval are demonstrated.

在详细阐明数字序列和字母序列的1-D映射函数设计方法的基础上，利用构造出的1-D映射的稳定周期环和不稳定极限环完成了存储和联想记忆功能，为了识别有关的输入信息，提出了映射函数直接控制的方法；在此基础上，提出了一种1-D映射型混沌神经网络模型，该网络本身不当作一个"黑箱"处理，网络的参数值由网络中实现的映射函数来确定，该网络模型具有联想记忆、容错性、模式识别和奇异滤波等一系列智能信息处理的基本功能。

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。

The former, such as Bettess element and Astley element, needs geometry mapping and shape functions in terms of local coordinates, while for the latter, the shape functions are directly expressed in terms of global coordinates. This paper reviews the state-of-the-art and recent advances of the infinite element method for unbounded domains.

无限元分为映射无限元和非映射无限元：映射无限元需要引入几何映射，在局部坐标系中构造插值形状函数，如Bettess 元和Astley元；非映射无限元则直接在整体坐标系中构造插值形状函数，如Burnett元。

Firstly, on the base of the strictly monotone map, we provide the definition of strictly invariant quasi-monotone map, it is the extent of the strictly monotone mapping, at the same time, it is the especial case of the invariant quasi-monotone map, too. It is supported by some examples.

在理论部分做了三方面的工作：首先，在严格拟单调映射的基础上，提出了严格不变拟单调映射，它是严格拟单调映射的推广，同时也是不变拟单调映射的特殊情况，举例加以说明。

The invention discloses a data transmitting method, a device and a system in a time division duplex system, which is used to solve the problem in the prior art that downlink data among adjacent cells interfere to uplink data; the method comprises that: a blanket channel of a whole cell or a high-power transmit channel is mapped to OFDM symbols of a downlink time slot in a transmit frame, a guard interval in the transmit frame and the OFDM symbol on a time domain space OFDM symbols which are not mapped to any of the blank channel of the whole cell and the high-power transmit channel; an uplink control channel is mapped to OFDM symbols of an uplink time slot in the transmit frame, the guard interval and the OFDM symbols for mapping the uplink control channel on the time domain space OFDM symbols which are not mapped to uplink control channel; the OFDM symbols of the transmit frame are transmitted; the invention is adopted to avoid the interference between the downlink data and the uplink data among the adjacent cells.

本发明公开了一种时分双工系统中发送数据的方法、装置及系统，用以解决现有技术中邻近小区间的下行数据对上行数据产生干扰的问题；该方法包括将全小区覆盖信道或大功率发射信道映射到传输帧中下行时隙的OFDM符号上，并且所述传输帧中的保护间隔与所述OFDM符号在时域上间隔未映射全小区覆盖信道和大功率发射信道中任一信道的OFDM符号；将上行控制信道映射到所述传输帧中上行时隙的OFDM符号上，并且所述保护间隔与映射上行控制信道的OFDM符号在时域上间隔未映射上行控制信道的OFDM符号；发送所述传输帧的OFDM符号；采用本发明可以避免相邻小区间的下行数据和上行数据之间的干扰。

We present some new topologies of components and devices, embedded passive circuits and interconnections with good EM properties which can meet development of microwave and millimeter wave LTCC technology and domestic state of arts and crafts inland. These algorithms are applied to optimization of LTCC circuits by using relevant production and applicable techniques in SM study, i.e. optimizing and designing various LTCC capacitors and inductances by original space mapping, LTCC transitions by aggressive space mapping and equivalent lumped-element LTCC filters by knowledge-based aggressive space mapping and neural space mapping.

并且针对微波、毫米波LTCC技术发展需要和国内加工水平，探索具有良好电磁特性的新型组件拓扑结构及其内嵌无源电路、互连实现形式，利用在空间映射研究中取得的成果和开发的实用技术，实现LTCC电路的优化，主要是采用初始空间映射方法优化设计了LTCC电容电感、采用主动空间映射方法LTCC过渡、采用基于知识主动空间映射方法与神经网络空间映射方法优化设计了LTCC等效集总元件滤波器等。

Based on the study of the relation between meromorphic mapping and moving targets,a new truncated second main theorem is proved for meromorphic mapping in several complex variables with moving targets.

通过对亚纯映射与小映射之间关系的研究，给出了一个涉及小映射的亚纯映射精简密指量形式的第二基本定理，并由此得到相应的亚纯映射唯一性定理。

In chapter 5, we investigate uniformly starlike and uniformly convex mappings on the unit ball in C〓, give a criterion for the latter, and obtain some results which are similar to Harnack inequalities. Hence the contents of these two mappings are richened a little.

第五章主要研究多复变数的一致星形映射和一致凸映射，给出一致凸映射的一个判别准则，并且得到关于这两个映射的类似于Harnack不等式的结果，从而使得有关这两类映射的研究内容更加丰富。

At present time thesemaps have become important objectors and tools in studying operator algebras. Nestalgebras is a class of most importaut non-semisimple, non-prime and non-self adjointoperator algebras. Their finite dimensional models are upper triangular matrix algebras,but the infinite dimensional models are more complex.

本文在已有成果的基础上，研究了一些类型的算子代数上的Jordan可乘映射，Jordan-triple可乘映射，Lie-skew可乘映射，初等映射，Jordan-triple初等映射，Lie导子，Jordan导子，局部导子和局部同构及其刻画问题。

To increase the security of the watermark, a new binary image encryption algorithm based on TD-ERCS map is presented. The watermark is encrypted by a chaos sequence generated by TD-ERCS map; A novel color image watermarking algorithm is proposed based on discrete chaotic map and 2-dimensions discrete wavelet transform. The watermark is encrypted by the new binary image encryption algorithm, and the encrypted watermark is embed into four sub-bands of the most deep level of blue branch of host image by three-level wavelet transform, and the embedded positions are determined by general cat cha otic map; A novel color-image blind detection watermarking algorithm is proposed based on integer wavelet transform and subsampling. The scrambled watermark is encrypted and embed into the low sub-bands after four sub-images of the Y branch of host image is transformed by two-level wavelet transform, and the embedded positions are determined by Logistic chaotic map, this watermarking scheme can realize blind extraction.

为了提高水印图像的安全性，提出了一种基于TD-ERCS混沌映射的二值水印图像的加密算法，该算法利用TD-ERCS映射产生的混沌序列加密水印图像；将离散混沌映射和二维离散小波变换相结合，研究了彩色图像水印新算法，该算法先对混沌序列加密后的水印图像进行小波变换，再嵌入到宿主图像的蓝色分量的最深层的四个子带中，嵌入位置则由广义猫映射确定；将整数小波变换和图像子采样技术应用于数字水印，提出了一种彩色图像盲提取水印算法，水印嵌入时，先对宿主图像在YIQ色彩空间中的Y分量进行子采样，并对得到的四个子图像分别进行二级离散小波变换，然后将置乱并加密后的水印图像嵌入到小波变换后的低频子带中，其嵌入位置由Logistic混沌映射产生的混沌序列确定，实现了水印的盲提取。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷