多函数

By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper.

运用复变函数及积分方程方法，求解了半平面域多圆孔多裂纹反平面问题。

When the elliptical coaxial line becomes a circular coaxial line, the mode eigenequation of the circular coaxial line can be obtained from the mode eigenequation of the elliptical coaxial line using the asymptotic formulae of angular and radial Mathieu functions.

研究表明：当椭圆退化为圆时，利用角向和径向马修函数的渐进关系，可得到填充多层介质的圆形同轴线的模式特征方程，由此可见，圆形同轴线可看作椭圆形同轴线的特例；当椭圆同轴线内导体半长轴大小为零时，则椭圆同轴线就变成椭圆波导，同样的方法，可得到填充多层介质的椭圆波导模式特征方程。

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。

In this paper, the formula of Expect Bayes estimation of the reliability under entropy loss function and square loss function for geometric distribution have been given, when the prior distribution of the reliability is power distribution.

本文在几何分布的先验分布为幂分布时研究了其在熵损失函数下，可靠度的多层Bayes估计及其容许性，给出了可靠度的多层Bayes估计的计算公式。

Owing to the anisotropic and the biharmonic nature of microwave radar backscatter on spaceborne scatterometer, and to the scatter model function nolinear and the existence of various noise sources in the measurements in addition to the model function, the

由于卫星散射计探视雷达回波的各向异性的双调和性质，同时由于散射物理模型函数的非线性及信号中存在噪声，使得常规点方式风场反演中风向有多至4个解的多解存在。

Owing to the anisotropic and the biharmonic nature of microwave radar backscatter on spaceborne scatterometer, moreover, scatter model function nonlinear and the existence of various noise sources in the measurements in addition to the model function, the retrieval wind results consist of as many as four wind directions.

摘 要 由于卫星散射计探视雷达回波的各向异性的双调和性质，同时由于散射物理模型函数的非线性及信号中存在噪声，使得常规点方式风场反演中风向有多至4个解的多解存在。

So the research on non-parameter reliability estimate is changed to the estimating of parameter R in Binomial distribution.

在多层Bayes方法中，提出了R的多层先验分布的构造方法——增函数法，并给出了在无失效数据问题中的应用。

In allusion to the characteristics that Luannan County is a county which majors in agriculture and its area is small and its water resources allocation is relatively easy and the contradiction of water resources allocation among industries is severe and so on, based on the predicted water supply and demand for Luannan County, water resources multi-objective optimal allocation model is founded. The model are made up of primary object which is that the district economical benefit is most and by-end which is that the district social benefit is most and restricts which contain water supply capability and water transportation capability and water demand capability and so on.

更多分配矛盾较为突出等特点，在滦南县供需水预测成果的基础上，建立了以区域经济效益最大为主要目标、区域社会效益最大为次要目标、以区域供水能力、输水能力、需水能力等因素为约束条件的水资源多目标优化配置模型，根据Excel和Matlab的特点，把Excel作为数据输入端，调用Matlab中的linprog工具函数求解该模型，得到了滦南县水资源优化配置成果。

The interaction between chemisorption and multilayer surface segregation is discussed in detail.

采用格林函数方法和多重耦合自洽相干势近似方法，研究了氢在Au-Ag多层偏析无序二元合金表面的化学吸附，详细地讨论了DBA表面的多层偏析和化学吸附间的相互影响。

Based on the analysis of the single-ring resonator, both the transfer functions of parallel-coupled structure and the ones of series-parallel structure in multiple-ring high order resonators are derived using the transfer matrix method. And the influences of the length of straight waveguide between rings, coupling coefficients between rings, coupling coefficient between straight waveguides and ring, the number of rings and the radii of rings on spectral response are also analyzed. Spectral response at drop channel with maximally flat response pass bands and sharper roll-off could be achieved by optimizing these parameters, so as to improve the performance of output spectral response.

在分析单环结构的基础上，利用传输矩阵法，推导了多环并联和多环串联两种耦合结构的高阶谐振器的传输函数公式，分别分析了并联环间直波导的长度、串联环间耦合系数、环与直波导间的耦合系数、环个数和环半径对相应结构输出特性的影响，通过优化这些参数实现下话路输出光谱具有通带的最大平坦性和过渡带良好的滚降特性，从而达到改善其输出光谱特性的目的。

And discuss some key point of integrated management system design, include hazard identification and risk assessment and risk control in the occupational health and safety management, the measure of satisfaction target of customer, the flawlessness of law system, the integration of the integrated management system and enterprise standardization system, unify lead institution and work orgnization, integreted internal audit and integrated management review.

同时，论述了一体化管理体系构建中的几个主要问题，包括职业健康安全管理中的危险源辨识、风险评价和风险控制、顾客满意度的科学监测、法律、法规体系的完善、一体化管理体系与企业标准化体系的有机结合、统一的领导机构和工作机构、一体化的内部审核和管理评审。

Deepwater Taranaki is investigated for its petroleum potential, using all available seismic data tied to shallow-water wells.

运用与浅水井相关的现有全部震波探测数据考察了深海区塔拉纳基盆地的油藏前景。