系数问题

By synthesizing theories of systems engineering, science of talent, talent assessment, performance appraisal and bibliometrics, the author analyzes the qualification structure and performance structure of theachers in military academies and sets up a basic structure and concrete appraisal indicator system of qualifications of technical specialty for teachers in colleges. The author puts forward new appraisal indicators such as "lecuring hours coefficient","republication coefficient","thesis of core journals coefficient" and "citation coefficient". Comparatively complete quantification approaches are invented by the author for working performance of teaching, researching and social service of teachers. Based on this, the author establishes an integrated method to generate the appraisal results. By the application of stadardized processing on the appraisal results and synthetization of weighted indexes, the author solves the addibility and comparability problems of differentiated appraisal results by category or dimensiok, and realizes the amalgamation and comprehensive appraisal of inflexible appraisalresults and flexible appraisal results, and probes into the testification methods of validity, consistency and sensitivity analysis for the indicators system.

综合运用系统工程理论、人才学理论、人才素质测评理论、工作绩效评估理论、文献计量学等原理与方法，分析研究了军校教师的素质结构和绩效结构；建立了高校教师专业技术资格评审条件基本结构和具体评价指标体系，提出了"完成主讲课程课时系数"、"著作重版系数"、"核心期刊论文系数"、"论文被检索引用系数"等若干新的评价指标；提出了比较完整的教师的教学、科研、社会服务等工作业绩的量化方法；以此为基础，建立了评价结果的综合方法，通过对评价结果的标准化处理，运用指标加权综合法，解决了不同类别、不同量纲指标的评价结果的可加性和可比较性问题，实现了硬评价结果和软评价结果的融合和综合评价；探讨了指标体系有效性、一致性、灵敏度分析的检验方法。

Besides, as to inpainting problem in wavelet domain, we introduce a new iterative model. In this model low frequency and high frequency will carry on processing separately, enormous speed up the image repair convergence rate, and even if as high as 90% wavelet coefficient have been lost, this model will also be able to have the very good repair effect. In the old model, to compute the curvature we have to transform the coefficients to the pixel domain, and then transform back to the coefficient domain for several times and this method can solve this problem and speed up the iterative convergence.

其次针对小波域中图像修复的问题，本文提出了一种新的小波域图像修复模型，该模型根据小波变换后系数相关性的特点，将低频和高频分别进行处理，极大的加快了图像修复的收敛速度，并且即使丢失高达90%的小波系数，该模型也会有很好的修复效果，有效的解决了传统的TV- Wavelet模型在计算图像的平均曲率WCURV时，需要反复进行小波分解与重构的计算，迭代速度慢的问题。

In the third chapter, the author introduces a new method about the compositor of fuzzy number. The method is simple and more intuitionistic.

采用这种方法可以将含有L-R型模糊系数的模糊规划问题转化为确定系数的规划问题。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

For reducing boundary distortion area, the elevations of grid DEM are viewed as a discrete sequence under a generalized coordinate, so that the boundary problem of two-dimensional discrete wavelet transform is turned into the boundary problem of one-dimensional discrete wavelet transform, which not only greatly reduces the boundary distortion area, improves the precision of reconstructed DEM data near the boundary, but also decreases the number of zeros adding on the boundary for wavelet transform, and boosts the compression ratio. On the basis of analyzing the distribution characteristics of coefficients in low and high frequency bands, a mixed entropy coding plan is applied, and a high efficient quantizator called"self-adaptive hard threshold"is established, which is helpful for improving the precision of the reconstructed DEM data and for enhancing compression ratio.

为了减小小波变换山区格网DEM数据压缩中边界失真区域，将山区格网DEM高程值视为广义坐标下的离散随机序列，把二维离散小波变换中的边界问题转换为一维离散小波变换中的边界问题，不仅大大减少了小波变换边界失真区域，提高了重构DEM数据边界点的精度，而且减少了边界补零个数，提高了压缩比；通过对山区格网DEM数据小波变换低频区和高频区变换系数分布特点的分析，采取了霍夫曼—游程混合熵编码方案，设计了高效、低失真的"自适应硬阈值"量化器，即对低频区变换系数不进行量化，直接进行霍夫曼编码；对高频区变换系数则先用"自适应硬阈值"方法量化处理，再进行游程编码。

The current coefficientΨ of correction includes many influencing factors. And numerical value of this coefficient varies widely. So the current method was improved from one coefficient to four coefficients in this paper. Three new coefficients of correction were considered to decrease composite ratio of coefficient Ψ and put forward three coefficients to modify calculating result.

针对现行经验系数包含的影响因素太多以致其取值过于离散的问题，在现行规范法计算建筑地基沉降的基础上，对现行方法进行了改进，由原来的1个修正系数改为4个修正系数，用新增加的3个系数反映3个不同方面的影响，以减小原经验系数的综合程度。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

By synthesizing theories of systems engineering, science of talent, talent assessment, performance appraisal and bibliometrics, the author analyzes the qualification structure and performance structure of theachers in military academies and sets up a basic structure and concrete appraisal indicator system of qualifications of technical specialty for teachers in colleges. The author puts forward new appraisal indicators such as "lecuring hours coefficient","republication coefficient","thesis of core journals coefficient" and "citation coefficient". Comparatively complete quantification approaches are invented by the author for working performance of teaching, researching and social service of teachers. Based on this, the author establishes an integrated method to generate the appraisal results. By the application of stadardized processing on the appraisal results and synthetization of weighted indexes, the author solves the addibility and comparability problems of differentiated appraisal results by category or dimensiok, and realizes the amalgamation and comprehensive appraisal of inflexible appraisalresults and flexible appraisal results, and probes into the testification methods of validity, consistency and sensitivity analysis for the indicators system.

综合运用系统工程理论、人才学理论、人才素质测评理论、工作绩效评估理论、文献计量学等原理与方法，分析研究了军校教师的素质结构和绩效结构；建立了高校教师专业技术资格评审条件基本结构和具体评价指标体系，提出了&完成主讲课程课时系数&、&著作重版系数&、&核心期刊论文系数&、&论文被检索引用系数&等若干新的评价指标；提出了比较完整的教师的教学、科研、社会服务等工作业绩的量化方法；以此为基础，建立了评价结果的综合方法，通过对评价结果的标准化处理，运用指标加权综合法，解决了不同类别、不同量纲指标的评价结果的可加性和可比较性问题，实现了硬评价结果和软评价结果的融合和综合评价；探讨了指标体系有效性、一致性、灵敏度分析的检验方法。

Based on the above-mentioned parameter, according to the relationship between robust estimation and nonlinear diffusion, the Turkey loss function is introduced as the diffusion function in SAR image decomposition because of its better performance, and the contour of an image is extracted by the Turkey diffusion function with the proposed diffusion parameter mentioned above. The experiment results indicate that the Turkey loss function based diffusion process can strengthen the conspicuous contour. Additionally, a Raita\'s criterion-based method, solving the automatic diffusion threshold, is proposed to automatically set the threshold in diffusion decomposition.

针对基于梯度参数和局域方差系数的扩散在对SAR图像进行分解时存在的缺陷，提出了一种局域方差系数与窗口幅度均值积的扩散系数，该系数能够更有效地实现潜在目标区域和背景区域的区分；在此基础上，根据鲁棒估计与非线性扩散的联系，引入扩散效果更好的Turkey损失函数作为图像分解中的扩散函数，并结合局域方差系数与窗口幅度均值积的扩散参数来提取图像的轮廓，结果表明：基于Turkey损失函数的扩散过程对特征突出的边缘所起的&强化作用&更加明显；此外，针对扩散分解中的阈值确定问题，提出了一种基于拉依达准则的扩散阈值自动求解方法，实现了扩散阈值的自动求解。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。