查询词典 bilateral Laplace transform

We can take Fourier transformation or Laplace transformation towards try to of square distance both ends according to the their lines property, differential calculus property and integral calculus property, its conversion for act for of elephant function square distance, from this algebra square the distance beg an elephant function, then take Fourier negative transformation or Laplace negative transformation have to originally square distance of solution.

我们可以根据他们的线性性质，微分性质和积分性质，对欲求的方程两端取Fourier变换或Laplace变换，将其转化为象函数的代理方程，由这个代数方程求出象函数，然后再取Fourier逆变换或Laplace逆变换就得出原来方程的解。

Methods In the first place,the mathematical model of the dynamical response of viscoelastic thin plates is established in physical space,then the fundamental equation in Laplace domain is obtained by using Laplace transformation.

首先在物理空间建立了粘弹性薄板动力响应问题的数学模型，然后利用拉普拉斯变换得到拉氏变换域的基本方程；利用基本方程的基本解，由边界元方法得到边界积分方程，并求得数值解；最后通过数值 Laplace 逆变换得到原问题的解。

Concretely, firstly with Timoshenko beams, the fundamental formulae of solutions of dynamical equations, boundary conditions and initial conditions have been transformed by Laplace transformation. Secondly, in the Laplace regions , we gain the analytical solutions of impact forces at the impact contact points, shear and maximum inverse stress of beams. Then, by using Durbin numerical inverse method, we gain the numerical solutions of Timoshenko beams under various restriction conditions. Moreover, the graphs about impact forces at the impact contact points, shear and maximum inverse stress of beams can be obtained too.

把Timoshenko梁力学模型动力学方程的基本解形式、边界条件以及初始条件进行Laplace变换，在Laplace区域得到了冲击接触处的冲击力、整个梁的最大弯曲应力和剪力的解析解，然后利用Durbin数值反演的方法得到了各种约束条件下的Timoshenko梁模型时间-空间的数值解，得到了冲击接触处的冲击力、梁各处的最大弯曲应力和剪力的曲线图。

Starting from the Laplace equation, the solution of Laplace equation, in spherical coor dinates, is developed for the boundary value problem approximating the local gravity field over a spherical cap——spherical cap harmonic analysis, and the spherical cap harmonic expansion with integral order but nonintegral degree and practical formulae are given.

从Laplace方程出发，提出了在球冠上逼近局部重力场的大地测量边值问题——球冠谐分析理论，给出了非整阶整次球冠谐展开和实用计算公式。

The second kinds of methods are that compared Laplace distribution with normal distribution to see Laplace distribution is more superior than normal distribution.

第二种方法是对Laplace分布和正态分布进行对比，看Laplace分布是否比正态分布更优越。

Second, when the error distribution of the model is the Laplace distribution, the L1 estimation of 1-D location estimation is essentially the sample median, hence the study of the Laplace distribution is also important.

第二，由于当模型的误差分布是拉普拉斯分布时，一元位置的最小一乘估计是样本中值，因此对于拉普拉斯分布的研究也是至关重要的。

Based on the composite bounded reservoir model with two porous media, the Laplace solution of dimensionless pressure distribution under inner boundary condition (considering the wellbore storage and the skin effect) has been studied, and through analyzing the structures and interrelations of Laplace solution, the correlations with usual composite, two porous media and homogeneous reservoir pressure distribution have been found.

针对双孔介质复合封闭储层模型，研究了两种内边界条件(是否考虑井筒储存和表皮效应)下的变流率问题的无因次内、外区储层压力分布的Laplace空间解，在深入剖析了解的结构和相互联系的基础上，找出了它与常见的复合、双孔、均质储层压力分布间的相互关系。

This paper establishes mathematical models of unsteady and Non-Darcy low speed flow through the porous media and the double porous medium, and has obtained their solutions in an infinite reservoir through Laplace transformation, and their long time asymptotic solutions has been worked out, solutions on a bounded reservoir has also obtained through finite integral transformation and Laplace transformation.

从现场上各种水淹的实际资料来看，同一水动力的非均质油层系统中，渗透率相对较高的部分水洗之后，渗透率相对较低部分的油层却可以原封不动。而且，其渗透率可达达西级，含油饱和度可达80％以上。相对流动比(即同一水动力的非均质油层系统中，小层平均渗透率的最大值与其中不流动部分的小层平均渗透率的最大值相比)的比值在各种油层的生产实例中十分相近。一般的分布范围为3—7，常见的为4—6。实验室结果和生产实践基本相同。简单的注水和压裂对这一比值几乎无影响。

Computation of Laplace transforms is an important component of multifrac-tal analysis, and the moment generating function for occupation time of stochastic processes is the Laplace transforms of occupation time.

拉普拉斯变换的计算是重分形分析的一个重要组成部分，随机过程逗留时的矩母函数是逗留时的拉普拉斯变换。

As an examplc, in the Chebyshev coordinates, we use the Backlund theorem to give a Backlund transformation and a permutability formula between the generalized sine-Laplace equation and the generalized sinh-Laplace equation.

作为一个例子，利用几何的Backlund定理我们给出了广义的sine-Laplace方程和广义的sinh-Laplace方程之间的Backlund变换及其置换公式。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。