多叶函数

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

Events,Operation and Relation of Sets, Classical Probability, Geometrical Probability , Statistical Stability of a Frequency, Axioms of Probability, Conditional Probability, Total Probability Theorem, Bayes' Rule,Independent Events,Independent Repeated Trials, One Dimensional Random Variables, Discrete Random Variables, Distribution Function of a Random Variables , Continuous Random Variables, Normal Distribution, Distribution of a Function of a Random Variable, Multidimensional Random Variables, Joint Distribution Function, Marginal Distribution Function,Discrete Two—Dimensional Random Variables,Continuous Two—Dimensional Random Variables, Independent Random Variables, Distribution of Functions of Random Variables,Expectation,Variance, Covariance, Coefficient of Correlation, Bivariate Normal Distribution, Law of Large Numbers, The Central Limit Theorems, Sample and Population ,Chi—Squared, T and F Distributions , Sampling Distributions , Point Estimation , Interval Estimation , Testing Hypotheses , A Test of Significance for Parameters in a Single Sample From a Normally Distributed Population , A Test of Significance for Parameters in Two Sample From Normally Distributed Populations .

本课程的主要内容：概率的概念与运算、随机变量及其分布、随机变量的数字特征与极限定理、数理统计的基本概念、估计和检验的基本方法，随机事件与概率随机事件、事件的关系与运算、几何概率、统计概率等，条件概率、全概率公式、贝叶斯公式、事件的独立性、二项概率公式，随机变量的概念、离散型随机变量、随机变量的分布函数、连续型随机变量、随机变量函数的分布，多维随机变量及其分布函数、边缘分布函数、随机变量的独立性、二维随机变量函数的分布，数学期望、方差、协方差和相关系数、大数定律、中心极限定理，总体与样本， X 2-分布、 t-分布和 F-分布，统计量及抽样分布，假设检验的基本概念、单个正态总体参数的显著性检验、两个正态总体参数的显著性检验。

The main subjects of the volume include:- spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers;- multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations;- Hankel operators and forms;- operator algebras;- the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations;- approximation in holomorphic spaces.

卷包括：主要课程-定期微分算子和延迟方程谱分析，稳定控制器，傅立叶乘数；-多变量算子理论，模型论，换位解除定理，coisometric变现；- Hankel算子和形式；-算子代数；-在奇异积分和谐波分析，奇异积分算子和积分表示贝尔曼函数方法；-在全纯空间近似。

A new method of calculating the angle parameter in FRFT domain based on the eigenfunction of time-varying channel is proposed in this letter for FRFT-OFDM systems.

摘要针对FRFT-OFDM(分数阶傅里叶域的正交多载波)系统，该文提出了一种基于信道时变传输函数的FRFT域角度参数的估计算法。

According to actual condition, a model of wall thickness of rotary kiln is established. The constant coefficients in the model, including thermal conductivity, heat transfer coefficient, Fourier coefficient and contact resistance, are closely calculated. A formula of contact resistance is draw from a great deal of data of surface and inner temperature of rotary kiln. The wall thickness of rotary kiln is simulated by MATLAB. The simulation result is transmitted from MATLAB to DELPHI through a group of interface functions compiled by VC++. The basic graphs-circle and line are analyzed by the means of the technique of Visualization in Scientific Computing and the Bresenham arithmetic, and are realized the visualization of the wall thickness. The contents of communication between master computer and slaver computer are designed and the error control technique, the idea of multi-thread and the embedded assembly language are applied to realize the temperature data transmission and graph transmission, which largely improved the speed of transmission and the reliability and stability of system.

建立了符合现场实际的回转窑壁厚数学模型；结合现场采用红外测温仪测量所得的温度数据和回转窑的实际结构数据，确定出适合该模型的定常系数(包括导热系数、换热系数、傅立叶系数、接触热阻等)，并得出与回转窑工况的相近的接触热阻公式ln=T~(0.5154)-36.7868；利用MATLAB软件仿真出回转窑壁厚，并将运算结果通过在VC++的编译环境下编译出MATLAB和DELPHI的接口函数传输到该监测系统中，实现了温度数据的转换和交换；运用科学计算可视化技术和Bresenham扫描转换算法对基本图形——圆和直线进行分析，从而实现了仿真后的壁厚数据可视化；在研究异步串行通信方式的基础上，设计了该系统上下位机功能和通信内容，并运用差错控制技术、多线程思想以及嵌入式汇编语言实现了温度数据和图形数据在上下位机之间的远程传输，提高了数据传输的速率和系统的可靠性、稳定性。

A complete set of image processing and recognition of the source code This is our internal development and use of a image processing code, includes the most image processing and recognition processing function : as template transform, Image smoothing, sharpening, edge recognition, image filtering and fuzzy images, image inverse filtering, fuzzy image noise increases, Wiener filter images, linear transformation, gray tensile, histogram equalization, images corrosion, expansive images, image open operation, GIF correct coding, zooming, rotation, fast Fourier transform, discrete cosine transform, and so on and so forth, that is too many.

详细说明：一套完整的图像处理与识别的源码这是我们内部开发与使用的一套图像处理代码，里面包括了大部分图像处理与识别处理的的函数：像模板变换，图像的平滑、锐化、边缘识别、图像中值滤波、图像模糊、图像逆滤波、图像模糊加噪、图像维纳滤波、线性变换、灰度拉伸、直方图均衡、图像腐蚀、图像膨胀、图像开运算、GIF确码编码、缩放、旋转、快速付立叶变换、离散余弦变换等等，等等，太多了。

Images blurred by motion ; multi frame interfusion processing ; Fourier transformation ; transfer function

运动模糊图像；多帧融合处理技术；傅里叶变换；传递函数

This paper presents a novel multiple object segmentation algorithm based on a Bayesian framework. According to the characteristic of the intra-frame and inter-frame information, a representation of Maximization of the A posteriori Probability of spatio-temporal label field is proposed. So a minimization of energy function is obtained.

摘要该文提出了一种基于贝叶斯框架的时空标记场最大后验概率的多视频对象分割算法，根据视频序列帧间和帧内信息的不同特点，建立基于多个对象分割标记场的最大后验概率公式，并导出其最小能量函数，通过求解最小能量使其分割标记的后验概率达到最大。

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

The result pointed out that the vertical distribution of foliage for each species was different,however,generally speaking,the foliage in upper crown (0.3CL) for broad-leaved species in natural secondary forest took a small percentage,about 10%;in middle or middle lower of the crown(0.4CL to 0.8CL) the branches here took the majority percentage of whole foliage,almost 60%to 75%;but in lower crown(0.8CL),there was about 10%of whole foliage.(5)The interspecies competition of trees in secondary forest was expressed by Hegyi competitioin index,and the active competitor was calculated by the competition zone radius and the tree position,DBH,and distance in the zone,it was not all competitors in tranditional calculation.The study introduced crown area overlap index to describe the crown competition between subject tree and its competitors,furthermore,the crown area was classified into 5 levels with a method of equal crown projection area,therefor,the resulting crown area overlap index showed more realities of existing stand conditons.(6)Based on the theoretics of multiply divide,the spatial strcture optimizing model of secondary forest stand selective thinning was developed by diversity mingling,aggregation index,competition index and crown area overlap index,also designed 10 constraint conditions which were related to forestry meanings,the objective function was solved by the implicit enumeration method with LINGO 9.0,using 0-1 integer programming.

并且得出，每个树种在树冠内相对高度上的叶量的垂直分布是不同的，天然次生林阔叶树种的叶量在树冠的上部(0.3CL以下)所占比例很小，约占10%左右；在树冠的中部以及中下部(0.4CL～0.8CL)，叶量所占比例最大，几乎集中了整个树冠60%～75%的叶量；而在树冠的下部(0.8CL以下)，几乎占很少的叶量，大约10%左右。5、采用Hegyi竞争指数来表现次生林内林木的竞争关系，并且根据竞争圈的大小和林木在竞争圈内的分布位置、大小与距离来计算有效的竞争木，并不是传统意义上的全部竞争木；本研究提出用树冠叠加指数来表示林木与周围树木的树冠竞争情况，并采用等树冠投影面积法把树冠分为5级，这样计算的树冠叠加指数更加与现实林分相符。6、本研究基于乘除法的思想，用多样性混交度、聚集指数、竞争指数和树冠叠加指数构建了天然次生林择伐空间优化模型，设计了10个与林学意义相一致的约束条件，并采用0-1整数规划的思路，在LINGO9.0软件中使用了隐枚举法对目标函数求得最优解。7、以M702标准地为应用实例，具体计算出了每株采伐木，经过择伐后，目标函数值按模型设计的要求发生了极大的改变，增加了5倍多，说明了最后这个解的优良性，满足了设计的要求。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。