系数

In a certain period, the probability and expected value of critical drought duration got larger with the in crease of first-order auto-correlation coefficient and skewed coefficient, especially with first-order autocorrelation coefficient. The return periods of consecutive 11-year drought in North Luo River and Jing River were 1000 years.

在一定时期内，极限水文干旱历时的发生概率和数学期望随一阶自相关系数、偏态系数的增加而增大，且一阶自相关系数对极限水文干旱历时概率分布影响较为显著；泾河和洛河发生连续11年干旱的重现期均为1000年。

We studied China and fluctuation in business cycle with statistical methods for the first time roundly and systematically, including coefficient correlation, linear regression, turning point coefficient, autocorrelation coefficient, grey system theory, VAR and time series analysis.

第一次全面系统运用统计学方法研究我国经济周期波动，包括相关系数法、一元和多元回归、转折点系数检验、自相关系数检验、灰色关联度、VAR向量自回归和确定性时间序列等方法，第一次把灰色关联分析方法应用于经济周期波动研究。

Four characteristic parameters, mean value, variation coefficient, skewnesscoefficient and first-order autocorrelation coefficient, of these precipitation series areestimated with classical statistics.

利用经典统计学理论计算了研究区域上样本站和检验站的年降水序列的特征参数——均值、变差系数、偏态系数和一阶自相关系数。

The spatial autocorrelation coefficient and spatial regression model are widely applied spatial statistic techniques to explain the effects and distributions of spatial factors. This study identifies the major driving forces of the spatial neighborhood effect on land-use/land-cover change in Metropolitan Taipei.

空间自相关系数(spatial autocorrelation coefficient， SAC)或空间回归模型(spatial regression model， SRM)为探讨空间关系常用的工具，其中空间自相关系数以相关系数之观念，藉以探讨空间聚集的型态；空间回归模型则以线性回归模式为基础，探讨自变数以及依变数项的空间差异，对空间近邻效果提供有效的解释方式。

Based on the autoregression equation for the standard variation of the residual errors obtained by ordinary regression analysis, the least square estimates and the maximum likelihood estimates for the regression, the autoregression and the moving average coefficients are derived.

提出一种异方差回归－时序模型，通过建立回归分析残差的标准差自回归方程，给出回归系数、自回归系数和滑动平均系数的最小二乘估计和极大似然估计。

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。

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式，系以一维波动方程模拟地盘液化状态下之桩基础动力反应，依据现场土层钻探资料与邻近测站之地震纪录，由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数，以此系数对土壤强度模数进行折减，并使用集中质块法求取自由场之地盘液化反应，再以此为前置解作用於桩基础之波动方程求解，桩身刚度以简化之Bouc-Wen模式模拟其非线性行为，以了解液化地盘内基桩之变形行为与破坏机制。

Result The results showed that the cutting survival rate and propagation coefficient were higher in interlayer scale, the difference of which was not obvious between outside and inside scales. Compared with integrated scale, cross cutting and score cutting scale all could reduce scale propagation coefficient Treating scale with 0.1% HgCl2 could prevent scale rot effectively and increase propagation coefficient Integrated scale without segmentation was good for lily bud scale cutting.

结果］结果表明：中层鳞片的扦插成活率较高，繁殖系数也较高，外层与内层鳞片之间的差异不明显；与完整鳞片相比，横切鳞片和纵切鳞片都会降低鳞片繁殖系数；用0.1% HgCl2处理鳞片，可有效防止磷片腐烂，提高繁殖系数。

The first coefficients of canonical correlation of body weight traits with body measurement traits was significant (P.01), the canonical correlation coefficient was 0.828, respectively represented 92.11% of total correlation. The first coefficients of canonical correlation of body weight traits with age-corrected and backfat thickness-corrected of weighting at 100 kg were significant (P.01), the canonical correlation coefficient 0.851, respectively represented 97.80% of total correlation. The first and second canonical correlation coefficients of body measurement traits with age-corrected and backfat thickness-corrected of weighting at 100 kg were significant (P.05), the first canonical correlation coefficient was 0.607, respectively represented 78.52% of total correlation.

体质量与体尺性状间、体质量性状与100kg体质量校正日龄和背膘厚间的第一典型相关系数均达极显著相关水平(P.01)，分别为0.828和0.85，占总相关的92.11%和97.80%；体尺性状与100kg体质量校正日龄和背膘厚间的第一、二典型相关系数达显著相关(P.05)，第一典型相关系数为0.607，占总相关的78.52%。

Results showed that the Canonical Correlation Coefficient A(0.9486) was representing the direct correlation of the motorization with the injury and death rates, referring the higher the motorization, the greater the death and injury rates. The Canonical Correlation Coefficient B(0.9220) indicated the direct correlation between the highway capacity and the frequency of road injury, as well as the larger the highway capacity, the more frequency of road injury occurrance. The Canonical Correlation Coefficient C(0.6446) revealed the relations between levels of road situation and the accident rates per 10 000 vehicles.Results showed that the higher the quality of roadway, the lower was the accident rate.

结果显示，第一典则相关系数为0.9486，主要反映了城市机动化程度与车祸发生数、死亡率和受伤率之间的正相关性，即机动化程度越高，车祸发生数、死亡率和受伤率也越大；第二典则相关系数为0.9220，主要反映了客运量、货运量与车祸发生数之间的正相关性，即客运量和货运量越大，交通事故的发生次数越多；第三典则相关系数为0.6446，主要反映了道路质量与万车事故率之间的相关关系，道路质量好，则万车事故率低。

Shop assistant: Please check at the door.

店员：请您到门口柜台交费。

In the end, transportation of PAHs in the environmental matrix was preliminarily investigated and discussed according to PAHs data of soils and sediments from a certain region in Shanghai. The result indicated that there are two or more pathways on PAHs transportation in the environmental matrix.

最后，对上海特定地区内PAHs在环境介质中的迁移径途进行了分析讨论，结果表明上海市土壤和沉积物等环境介质中PAHs的迁移存在多种途径。