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    By building a dipole model for lightning, differential equations regarding horizontal electric field Er, vertical electric field Ez and tangential magnetic field Bφof any field point in lightning space are derived.
    通过建立雷电偶极子模型,得到了空间任意场点的水平电场Er、垂直电场Ez和切向磁场Bφ的微分表达式
    This paper has investigated into the relation between the apparent viscosity and temperature, analyzed usual viscosity-temperature formula, discussed viscosity-temperature relation at zero and given electric field, and compared ERF viscosity to intensity of electric field at different temperatures.
    本文对ERF的表观粘度与温度的关系进行了研究. 从推导粘温关系的微分表达式入手,对常用的粘温公式进行了分析,对ERF在零电场和给定电场下的粘温关系进行了讨论,并用一种ERF的粘度在不同的温度下与电场强度的关系曲线来加以对照。
    parameter form of the hyperbola fitted to capillary pressure laboratory data, obtain capillary pressure curves analytical function, differential and integral expression by least*. squares solution. It can fit the capillary pressure curves throughout the range of data, and obtain accurate the inlet saturation for centrifuge*.
    用三参数双曲线方程拟合离心毛管压力实验数据 ,采用最小二乘法求解 ,获得毛管压力曲线解析表达式及其积分表达式和微分表达式 ,可拟合各类毛管压力曲线整个数据范围 ,便于曲线微分、积分、,准确计算岩心的入口饱和度 ,光滑实验数据、进行曲线外推求阈压
    The simple deductions on differential and defference experssions of the interval's constancy
    间隔不变性的坐标差与微分表达式的简单推导
    Firstly,a simple and practical representing method of the tooth edge tangential vector is applied to replace the traditional differential formula,the simple solving technique of edge contact problem makes the geometric edge contact analysis of the complex curve surface realize.
    首先以一种简单实用的轮齿边缘切矢量的数学表示方法取代了经典的微分表达式,大大简化了几何边缘接触的求解,使复杂曲面的几何边缘接触分析得以实现;
    The research works are mainly concerned with the following aspects:Firstly, the differential expression of bilinear hysteretic is studied and a new differential expression is developed, then they are demonstrated.
    首先,对双线形滞后特性的微分表达式进行了研究,提出了一种新的微分表达式,并给出了证明。
    Random seismic responses of civil engineering structure arecalculated by employing stochastic vibration equations and moment equations methods of nonlinear structures established and stochastic equivalent linearization. In this procedure of calculation, differential expression of hysteretic characteristics and seismic excitation are taken into consideration.
    通过已建立的非线性结构物随机振动方程,纳入滞后特性微分表达式,利用随机等效线性化法和矩方程法,计算了工程结构物的随机地震反应。
    The main results, obtained in this dissertation, may be summarized as follows:1. In chapter 2, the differential property of the optimal value function with a non-compact set is studied. The expression of its lower-Hadamard directional derivative is obtained. And the expression of its subdifferential is developed in the case that the effective domain of the optimal value function is a non-empty convex set.
    1.第2章研究了非紧致集上最优值函数的微分性质,首先给出了最优值函数的Hadamard下方向导数的表达式,其次在最优值函数的有效域为非空凸集的情况下刻画出了次微分的表达式.
    The aim of this paper is to introduce a so-called rheologic model, somewhat conveniently for describing the behavior of rock deformation with time and to derive a differential expression of constitutive equation for such modles.
    本文介绍了比较适于描述岩石随时间变形性态的所谓流变模型,推导出这些流变模型本构方程的微分表达式.
    It also introduces every kind of integral operator signs as well as the correlation between them and is then by kelvin's differential expression of constitutive equation for rheologic model as an example to describe the process of changing the differential expression into integral one. Finally, it explains the problem of the viscoelastic theorem depending upon the basic theory of the integral operator form usually used and the calculating method of the integral operator.
    详细介绍了各种积分算子符号及其相互间的关系,并以凯尔文流变模型本构方程的微分表达式为例,叙述了微分表达式转化为积分表达式的过程,阐明了解粘弹性理论问题时常用的积分算子方法的理论基础和积分算子运算方法.
    In this note the differential expressions of divergence, curl, and gradient are derived based on one common model.
    本文根据统一的共同模式导出了散度、旋度和梯度的微分表达式
    In this paper calculation expressions of MTF differentiation to structure parameters r,d,n are derived,and that to eccentric error δ and partial figure △N are given. These expressions are very useful for calculating tolerances with optimization method and optical automatic design in which the performance target can be MTF.
    本文推导了传递函数MTF对结构参数r、d、n的微分计算公式,给出了MTF对偏心差δ和局部光圈△N的微分表达式,这些对于以MTF为性能指标,优化求解公差和光学自动设计,都是很有用处的。
    3. The differential expressions of both eigenvalues and the corresponding eigenvectors have been showed, and the residuals after estimated eigenvalues have been showed too while the matrix is changed.
    3.给出每一个特征向量的一阶全微分,特征值的一阶及二阶全微分表达式,进而求出每一个特征值残差佑计的理论性公式及实用性公式。
    In this paper, we discuss the problem of selfadjoint extensions of vector-valued differential operators in general case by extensively using the methods of [2~4], give the direct and complete description of domains of selfadjoint extensions of formally symmetric vector-valued differential operators, and perfect the results of [1].
    本文推广应用[2~4]的方法,讨论向量微分算子在一般情况下的自拌扩张问题,给出了形式对称向量微分表达式一切自拌扩张的直接而完全的描述,完善了[1]中的的结果。
    By remodeling the differential repre- sentation of bilinear hysteretic character a set of optimal estimators and conditional covariances are derived.
    本文改造了双线性滞后特性的微分表达式,给出了最适估计和协方差估计方程。
    In the first place, we describe the structure of the maximum operator domains under the assumption that the singularly formal selfadjoint differential expressions L_2 vector-function spaces attain maximum deficiency indices on middle deficiency indices. Then on this basis, the analytical description of the corresponding self adjoint extension domains is obtained.
    本文首先给出定义在L_2向量函数空间上的奇异形式自伴微分表达式取最大亏指数以及取中间亏指数时最大算子域的构造定理,在此基础上得到了在相应情形下自伴扩张域的解析描述。
 

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