对数

At first, preprocessing with the image pyramid and diffusion-filtering technology; then abstracting the boundary-outline information; carrying on the logarithmic coordinate transformation of the abstracted boundary-outline information to get bar chart of the logarithmic coordinate; calculating the value of Cs to get all the phase match points; calculating the value of the degree of approximation to judge the shape matching.

本发明涉及一种基于Shape Context的人脸形状匹配方法，首先采用图像金字塔及扩散滤波技术进行预处理；再利用Canny边缘检测算法和轮廓提取算法提取边界轮廓信息；对提取的边界信息进行对数极坐标变换，得到对数极坐标直方图；通过计算Cs值，获得所有相匹配点；计算相近似度值，进行形状匹配判断。

Some conclusions can be obtained from the analysis of test results:(1) Under long-term cycle loading, the strain rate of soft clay decreases with time. The logarithmic relationship between strain rate and time is linear.(2) The effect of initial static deviator stress and cyclic shear stress coupling and the drained condition have much influence on stain rate of residual strain.

通过试验结果分析可得：（1）在长期循环荷载作用下，黏土的应变速率随时间的增大而减小，应变速率对数与时间对数间的关系可用直线描述；（2）初始静偏应力与动偏应力的耦合作用以及不同的排水条件对黏土残余应变速率有较大程度的影响。

In conclusion, the lag phase of Streptococcus thermophilus was shorten in the eutrophy culture medium, and the time achieving the culminated point of logarithmic phase was shorted also, at the same time, the stationary phase lengthened. After secondary culture, Streptococcus thermophilus reached directly the log phase hardly through the lag phase, and then quickly reached the decline phase. There were more relations of the metabolic regalities of the three kinds of nutritive substances with the super-concentrated incubation process of Streptococcus thermophilus: the more the number of the bacteria, the quicker the metaboling, while the fewer, the slower the metabolism. Moreover, there apparently existed morphologic changes in this course, and there maybe existed the apoptosis, which correlated with bacteria propagation and acid producing. With the culture time postponed, the nutritive substances in the culture medium lacked also, and the morphologic change and apoptosis appeared more obviously.

结果表明，嗜热链球菌在营养丰富的培养基中的生长延滞期缩短，到达对数生长顶点的时间变短，稳定期的时间延长，当经过二次培养后，嗜热链球菌几乎不经过延滞期直接到达对数期，平稳期持续的时间较短，很快到达衰亡期；嗜热链球菌在超浓缩培养过程中三大营养物质的代谢规律也同它的培养过程有很大的关系，菌数多，其代谢旺盛，菌数降低其代谢速度减慢；嗜热链球菌在超浓缩培养过程中存在着明显的菌体形态变化，并可能存在着细胞凋亡，与菌体增殖和产酸规律密切相关，随着培养时间延长，培养基中营养物质变得贫乏，菌体形态变化和细胞凋亡的情况愈加明显。

In chapter three, the elliptic curve discrete logarithm problems on the elliptic curve finite group are discussed.

第3章在介绍有限域上的离散椭圆曲线的基础上，深入讨论了椭圆曲线有限群上的椭圆曲线离散对数问题，研究了目前已知的椭圆曲线离散对数问题的几类求解算法，分析了这些算法的特点和应用范围，并总结归纳出了一系列的安全椭圆曲线选取准则。

Of a logarithm, the non-negative fractional part of the represent ''.

对于对数而言，一个对数表示式中的非负的小数部分。

Of a logarithm, the non-negative fractional part of the represent ation of a logarithm.

对于对数而言，一个对数表示式中的非负的小数部分。

Dynamic pressure averaging pipe was generally applied to blowing rate measurement in rectangular pipe of power plant, the average velocity of flow in the section was represented by the average dynamic pressure at the line through the geometric center of the cross section, and then the blowing rate was determined.

针对这一问题，本文设计了基于"对数契比雪夫法"的送风流量测量装置，将5支动压平均管置于同一截面，按"对数契比雪夫法"选点位置开孔，把这5支动压平均管的静压输出孔、总压输出孔分别连接到一起作为传感器组件的差压输出，实验表明这种方法使测量准确度明显提高。

The objective of this paper is to evaluate various spatial interpolation methods, including ordinary Kriging, simple Kriging, lognormal Kriging, universal Kriging, disjunctive Kriging and inverse distance weighting interpolation for estimating soil surface Hg content with lognormal distribution, the linear and second-order polynomial trend, and t...

以分布类型为对数正态分布，同时具有一阶和二阶趋势效应的土壤重金属Hg为例，分别应用普通克立格法，简单克立格法，对数正态克立格法，泛克立格法，析取克立格法和距离反比权重法等 6种内插方法对其进行了估值，综合比较了各种内插方法的预测误差、统计特征值及插值结果分布图。

This paper will mainly discuss the Law of Iterated Logarithm for some kind weighted partial sum. It is an extension of "the Law of Iterated Logarithm of Kolmogorov".

本文主要讨论独立随机变量某种加权和重对数律，它是"Kolmogorov重对数律"的推广。

This project also obtained several limit theorems for some important dependent random variables and stochastic processes, such as the Strassen law of the iterated logarithm for negatively dependent random variables, strong limit theorems for mixing random vectors in Banach spaces, sample path properties for two-parameter fractional Wiener processes, and so on.

随机环境中的随机变量与随机过程的研究在国内外相当活跃，本项目主要研究它们的极限性质，着重研究了随机风景中随机变量与随机过程的极限性质，主要取得了以下几个结果：首先对简单对称的Kesten-Spitzer随机游动在低阶矩的条件下给出了强逼近，大大减弱了前人要求任意阶矩的条件，然后对独立风景中的一般随机变量给出了强逼近的一般性结果，由此导出在风景和随机变量都只具有低阶矩的条件下的独立但不同分布、混合相依变量的强逼近，在只有弱高于二阶矩的条件下得到了重相对数律和弱收敛；给出了连续时间参数的Brown风景中Brown运动和稳定风景中稳定过程的滞后增量和连续模等精确样本轨道性质；同时给出了一些重要的相依随机变量和过程的若干极限定理，如负相关随机变量的Strassen重对数律、抽象空间上混合相依变量的一些强极限定理成立的充分必要条件、两参数分数Wiener过程的样本轨道性质等。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。