查询词典 laplace transform

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。

Based on the research, this dissertation has studied the M/G/1 and GI/GI/1 queueing systems, and drew the following conclusions: Firstly, we present the equation which satisfies the transient distribution of the lengthof L(T,θ1,θ2 for GI/G/1 queueing systems, and proves that the lengthL(t,θ1,θ2 for GI/G/1 queueing systems satisfy two types of equation, and aretheir minimal nonnegative solutions. Furthermore, we give out not only the expression of Laplace transformation, but also the expression of Laplace transformation of busy-idle period, as well as the equation that satisfies the waitingtime of W

第一，首先给出了GI／GI／1排队系统队长L(t，θ_1，θ_2的瞬时分布所满足的方程，证明了GI／GI／1排队系统队长L(t，θ_1，θ_2的概率分布满足二种不同方程，并且是这些方程的最小非负解，进一步给出了其拉氏变换的表达式，还给出了闲忙周期的拉氏变换的表达式，同时对等待时间W(t，θ也作了同样的处理。

In this paper, the analytical solutions of reservoir pressure in Laplace space are developed for planar linear flow and radial flow under the condition of constant pressure at inner and outer boundaries, and the pressure distribution curves in some point in the reservoir are obtained using Stehfest numerical inversion algorithm of Laplace transforms.

本文在内、外边界定压的条件下得到了平面单向流和平面径向流两种渗流形式在拉氏空间的解析解，利用Ste hfest数值反演方法给出了地层各点的压力分布曲线，由这些曲线可以清楚地看到流体的流动由不稳态流向稳态流过渡以及最后达到稳态流的过程。

In order to improve the quality of Laplace operator image segmentation at a high real time capability this paper presented a synchronization dimensional structure filter for Laplace operator.

为了在继承拉普拉斯算子高实时性的前提下提高图像分割质量，设计了一个可与拉普拉斯算子差分计算同步进行滤波工作的空间滤波器。

I go to school at night.

我是上上学。

Clear Tip Nasal Aspirator: A soft time and gentle suction action makes removing excess mucus easy.

鼻吸明确提示：一个柔软的时间和温柔吸力行动使消除过剩的粘液容易。