对数的

In order to determine the fractal dimension of the interface, structures with different rotation radii are set in the transition region. By using above regulation, the number of surface molecules of each rotation structure with certain radius can be obtained, then correlate these molecule numbers with the corresponding radii, in a logarithmic coordinate system the asymptotic slope of the correlated curve is the fractal dimension of the liquid-vapor interface.

为了确定界面的分形维数，在气液过渡区中作出不同回转半径的结构，利用（2～5）/1.2r〓规则找出其中所包含的气液界面上的分子数，然后将这些分子数与回转半径关联，在双对数坐标中此关联曲线的渐近斜率便是气液界面的分形维数。

The asymptoticbehavior of two ecological systems and the unconditionally stability and oscillations in kinds of 4-order delay difference equations are investigated by using analysis method, constructing Lyapunovfunctions, the logarithmic norm, charateristic roots theory and the bifurcation theory. Here, theasymptotic properity includes the uniform persistence, the global attractability of the solutions,the asymptotic stability of the positive solution local or global and the oscillations of solutions.

本文利用定性分析的方法、比较原理、特征值分析法、对数范数、构造Lyapunov函数及分支理论等方法和理论，研究了两类生态模型解的渐近性及一类四阶时滞微分方程解的无条件稳定性，其中包含模型的一致持久生存性、正平衡态的全局吸引性、局部和全局渐近性以及解的振动性等问题。

When fitness satisfies the bimodal distribution, the connectivity distribution of the network satisfies a generalized power-law form.

当Fitness服从一个双模分布时，网络的度分布是一个广义的幂律形式；当Fitness服从均匀分布时，网络的度分布是一个带有对数修正的广义的幂律形式。

Result］Like most of C3 plants, the diurnal changes curve of NPR of Lonicera japonica Thunb. showed double peaks, but there were time difference in reaching the peak value between the study and previous ones. The responding mathematical model of NPR to photosynthetic valid radiation could be described by three mathematic functions , such as logarithm, linearity and binomial,but binomial function was more precise than the others. Light saturation point of Lonicera japonica Thunb. was figured out by binomial equation deduced in the study, and light saturation point was 1 086.3 μmol/(m2·s).

结果］与多数其他C3植物一样，金银花净光合速率日变化曲线呈双峰型，但在具体达到峰值的时间上与前人的结果有差异；金银花净光合速率对光合有效辐射的响应可用对数、线性、二项式3种数学函数来描述，但以二项式描述更确切；根据前面得到的二项式方程，计算出了金银花的光饱和点为1 086.3 μmol/(m2·s)。

The results indicate that: the cavity radius becomes stable at approximately 6000μs;the blasting pressure waves mainly are transmitted horizontally;the peak pressure has a negative logarithm relationship with distance perpendicular to the charging bisector;and the valid influence area r.

应用ANSYS/LS-DYNA有限元程序对条形装药黄土地基中爆炸过程进行了三维数值模拟，发现在6000μs爆炸空腔已基本稳定，条形装药爆炸产生的压力波以水平方向传播为主，装药中垂线方向爆炸产生的峰值压力与离中垂线距离呈负对数关系，土的有效影响范围半径大约为爆炸后形成的空腔半径的4倍。

The idea of a logarithmic earthquake magnitude scale was first developed by Charles Richter in the 1930's for measuring the size of earthquakes occurring in southern California using relatively high-frequency data from nearby seismograph stations.

以对数方式来记录地震等级的概念，最早是由查理斯。里查德在十九世纪三十年代提出的。他当时正在测量南加里弗利亚的地震等级，使用的是附近的地震检测台站的相关高频数据。

Statistic analysis result shows that the time step is the most important influence factor of simulation precision, and there is relation between simulation error and the setup value of restitution coefficient which the greater the setup value is, the less the simulation error is. Although there is no effect to the total contact time in the course of collision, the value of the time step decides the total contact step, and there is a logarithmic linear correlativity between them.

统计分析结果表明：计算时步是影响模拟精度最重要的因素；模拟误差还同恢复系数的设定值有关，设定值越大，模拟误差就越小；计算时步的大小虽然对碰撞过程的总接触时间影响不大，但是却决定了碰撞过程的总接触时步数，二者之间存在对数线性相关关系

Also on the basis of analyzing the two tidal periods successive survey results on the tidal current and suspended sediment at No.5 station in the tidal channel at the crunode of DongDaGang and Dayaomen tidal channel , the tidal characters and process of suspended sediments are further understood.

本论文对辐射沙洲东大港水道4号站位连续2个潮次的水文、泥沙测量资料进行了深入的分析、研究，论述了在潮流作用下泥沙的悬浮与沉降变化过程，并对悬沙的垂线分布进行了拟合，给出了对数拟合关系式，并对该关系式进行了讨论和验证，初步明确了西洋水道主槽的悬沙垂线分布基本规律。

The best melting temperature and annealing temperature were determined by analysing of differential thermal analysis curve.

本文通过分析差热曲线，确定了实验的最佳熔化温度和退火温度，测定了样品的吸收光谱和在980nmLD激发下的上转换发射光谱，研究了上转换发光强度与激光泵浦功率的对数关系，同时，测定并分析了样品的拉曼光谱和电子扫描电镜图。

This problem is defined as: Given points X, Y on the elliptic curve, find z such that: X = zY The discrete logarithm problem over this group in a finite field is a good one way function because there are currently no known polynomial time attacks forsolving the problem.

这个问题是指：鉴于点X和Y的椭圆曲线，找到这样： X =模糊离散对数问题，这个集团在有限的领域是一个很好的方法之一的功能，因为目前没有任何已知的攻击forsolving多项式时间的问题。

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。