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Especially, the technology of Automatic Gain Control and signal processing are studied which are key factors working on the performance of the receiver. Based on analyzing the theory of automatic Gain Control, operational amplifiers 0P37 and logarithmic D/Aconverter AD7111A are used to design variable gain amplifiers which can be controlled numerally, A/D convector LTC1405 is Used to test the echo, Complex Programmable Logic device is used for controller, and an arithmetic is designed for automatic Gain Control which is simulated and analyzed in order to test its feasibility.

本文在分析自动增益控制AGC原理的基础上，采用集成运放OP37和数控增益衰减器AD7111A设计可数字控制的可变增益运放模块；采用高速A／D转换器LTC1405作为回波信号检测模块；采用复杂可编程逻辑器件CPLD作为核心控制模块，构成数字自动增益控制电路，并设计粗调和细调步进控制相结合的算法，对回波信号的增益进行精确而快速的调节控制，使回波信号振幅快速稳定在设计指标范围内，利于接收机后续信号处理电路对回波信号作进一步的处理。

Decimal time and longitude would then correlate directly without the need for logarithmic conversion tables.

这样一来，十进制时间就会与经度直接相关联，对数转换表就变得不需要了。

Based on the primal-dual logarithmic-barrier method, a new algorithm for convex quadratic programming with equality and non-equality constrains is discussed.

在此基础上提出了求解带有等式约束和不等式约束的凸二次规划的牛顿内点算法。

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

The model types include frequency histogram,cumulative frequency distributing graph and theoretical model with double logarithmic coordinates.

模型类型包括频率直方图、累积频率分布图以及用双对数坐标表示的理论分布模型。

A new growth model is derived from the logarithmic function and the power law.

通过对幂函数和对数函数的比较分析，本文构建了新的词汇增长模型，并应用此模型推导出科技英语的理论词汇增长曲线及其95%双向置信区间。

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。

The analysis of the results show as follow:(1)The consolidated-undrained creep, which doesn't include the volume strain, can be expressed by logarithmic functions as a type of under a different deviator stress.(2)The shear creep behaves in a linear elastic character in a lower stress level, and it is a nonlinear behavior in a higher stress level.

分析表明：(1)固结不排水蠕变中没有体积变化，不同偏应力下剪切蠕变可用对数形式表达；(2)固结不排水剪切蠕变在低应力水平下表现为线性粘弹性，而高应力水平时则具非线性的特性。

So, it can be established the single logarithmic model to characterize the soil water diffusivity of the Nanxiaohegou basin.

因此，可以用参数B作为反映地貌类型的指标，应用于区域土壤水分扩散率的估计中。

At present the main research and the application public key the system crypto-algorithm has two kinds: The RSA algorithm and the ECC algorithm, former based on the great divisor of integers decomposition difficult problem, latter is separated the logarithmic computation difficult problem based on the elliptic curve in.

目前主要研究和应用的公开密钥系统的密码算法有两种：RSA算法和ECC算法，前者基于大整数因子分解难题，后者基于椭圆曲线上离散对数计算难题。

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。