多维积分

A new method for the generation of curvilinear grid has been proposed. Some curvilinear grid generation examples show that satisfactory grids can be generated for simple-connected regions and connected- regions with complex boundary by using the proposed adjusting factors.

3提出了一种生成边界处正交曲线网格的新方法，收敛速度快，在复杂边界流场区域的数值计算中，有很大的实用价值；为了克服复杂几何边界给数值计算带来的困难，提高通用性以及水流的预测精度，本文采用上述网格生成技术，在直角坐标系三维非恒定明渠紊流的沿层积分数值模型基础上，发展了曲线坐标系下的多层紊流水动力模型。

The characteristic function of the probability density function of response variable is obtained by the high efficient multidimensional numerical integration method or convolution integral based on response surface method. Then the discrete probability density function of response variable is calculated using the fast Fourier inverse transform technique, at last the cumulative distribution function of the response variable can be quantitatively determined.

首先利用高效多维数值积分方法或基于响应面法的卷积积分求解功能函数的分布函数的特征函数，也就是进行Fourier正变换；然后利用快速Fourier逆变换数值求解功能函数的概率密度函数，进而求得失效概率。

Double integral the definite integral of thinking to a three-dimensional space, have been more practical application, but it can be said of their way of thinking and the definite integral of exactly the same.

二重积分把定积分的思维推向了三维立体空间，得到了更多的实际运用的地方，但其思考方法可以说和定积分的完全一致。

MATLAB程序-used method for multiple preoperational Ertaila equation here as a variable element of the equation, As the same time contain differential equations and integral, the general solution is definitely difficult.

用LAPLACE方法求解多维沃尔泰拉方程，此处为一个变元的方程，由于该方程同时含有微分和积分，一般求解有一定的困难。

This book deals with integral representations of holomorphic functions of several complex variables, the multidimensional logarithmic residue, and the theory of multidimensional residues.

与多复变数的全纯函数的积分表示这本书优惠，对数的多维残留，残留的多层面理论。

From the twenty century, the computer technology has great development, which made the computation of the posterior distribution based on the multidimensional integral possible.

二十世纪以来，计算机技术得到了空前的发展，这使得以多维积分为基础的贝叶斯后验概率的计算成为可能，这也推动了贝叶斯计量经济学的发展。

This paper is devoted to investigating the multiple time series,introduce the integral spectrograph to estimate the spectral functions.

本文讨论多维平稳时间序列，引进积分谱图来估计谱函数，证明了误差过程的不变原理在软弱的条件下成立。

In this thesis,we mainly study the following three type of equations under certain non-Lipschitz conditions: stochastic Volterra type integral equation,backward stochastic Volterra type integral equation(including two cases:with jump and in infinite dimensional space),multivalued stochastic evolution equation.

本文将在某些给定的非Lipschitz条件下，依次讨论随机Volterra型积分方程，倒向随机Volterra型积分方程(包括带跳情况和无穷维情况)，多值随机发展方程。

The regurgitant volume was calculated by temporally integrating the instantaneous flow volume rate of each frame during systole.

建立了基于经食道旋转扫描二维和经胸实时三维超声多普勒血流图像获取方法和图像插值、配准算法获得体数据，经多维重建描述二尖瓣反流速度的空间分布，立体观察返流的时相、方向、反流束长度、面积、体积、空间传播和严重程度等；通过重建反流后的速度场，从血流动力学角度分析了二尖瓣反流的性质，计算偏心反流束的湍流强度，利用反流束角度和湍流强度对计算结果进行修正；基于实时三维彩色多普勒成像技术，利用控制体原理对二尖瓣反流束在反流瓣口横断面的速度分布进行空间与时间积分获得二尖瓣偏心性反流的每搏反流量。

In NWFM,to solve self-consistently the set of DFT Kohn-Sham equations,nuclear weight function is employed for numerical solution of multicenter integra-tion,which decomposes the problem of three dimensional integration to a sum ofone-center,atomic-like integrations.

首先介绍如何利用线性组合的原子轨道方法求解密度泛函理论中的K-S方程；接着详细地说明了核权重函数的概念，并列出了两种常用的核权重函数形式，同时阐述了如何利用核权重函数求解包含多中心积分的矩阵元以及复杂的三维泊松方程以获得电子间库仑势的方法；然后给出了求解矩阵元、有效势以及体系总能的具体数值计算公式。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。