查询词典 integral part

In order to test the feasibility of spectral element methods, time integral methods and absorbing boundary conditions for aeroacoustics, several programs based of Microsoft Visual C++ are presented for different time integral methods and boundary consitions.

为验证本文的谱元方法、时间积分方法和吸收边界条件对于求解气动声学问题的可行性，本文基于Microsoft Visual C++平台编制了分别采用不同时间积分方法和边界条件的谱元算法程序，计算结果证明了谱元方法的高精度以及两种时间积分方法的可行性。

The results show the high accuracy quality of spectral element method and the stability of Newmark time integral method. Then some computational parameter is changed in example one such as the subdivision style of computational domain, time step length and such on. Some important conclusions and strategies for spectral element method with Newmark integral method for computational aeroacoustics can be given. The feasibility of spectral element method for computational aeroacoustics is verified.

计算结果表明谱元方法的高精度及Newmark时间积分方法的稳定性，并改变算例的计算参数，例如计算区域剖分方式、时间推进步长等进行了计算，得出了一些重要结论，为使用谱元方法结合Newmark积分求解气动声学问题积累了重要的经验，最终证明了谱元方法求解计算气动声学问题的可行性。

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。

One way is to regard them as the random variables submit to a certain distribution; another is to take them as a random process—— we derive random variables form any of its function's time development, and, the diffusion equation could be partially approached by a equation which is similar to the Ito stochastic integral equation so that the Ito stochastic integral equation is inter-related with the diffusion equation. Therefore, this process could basically reflect the uncertainty in different models.

PSFEM法是假定基本随机变量在均值点处产生微小摄动，利用Taylor级数把随机变量表示为确定部分和由摄动引起的随机部分，从而将有限元控制方程转化为一组线性的递推方程，求解得出位移的统计特性，进而求出应力的统计特性。

By applying the H〓lder inequality, the Gronwall inequality, the Doob's inequality and the properties of the Ito stochastic integral to the integral form of the test equation, several important inequalities related to the analytical solution are proved, and the local order of the numerical solutions in mean square sense is obtained accordingly.

通过对试验方程的积分形式使用Holder不等式、Gronwall不等式、Doob不等式和Ito随机积分的性质，得出了试验方程解析解满足的几个重要不等式，进而得出了数值方法在均方意义下的局部误差阶。

It was supposed that the dynamic moving process of the stock price and the return was driven by Geometry Brownian Motion and the lognormal distribution respectively. Takinginto account the riskneutral environment, we got a closedform analytical formula for deferred arithmetic asian options by the method of Taylor expansion of the stochastic integral formula within the terminal payoff. Furthermore, with the series definition of the definite integral, we transferred the continuous problem into a discrete one which is simpleenough to figure out. Meanwhile we tested the accuracy of the formula with the Monte Carlo simulation as a benchmark and the result shows that the formula can be utilized to price the related financial derivatives.

在标的价格服从几何布朗运动、收益服从对数正态分布的前提下，通过风险中性定价原理，对到期损益中的随机积分进行任意次Taylor近似，并由级数定义将此连续问题离散化，给出了延期算术平均亚式期权封闭形式的解析定价公式，并与Monte Carlo模拟得到的价格作为标尺对得到的公式进行精确性检验，结果表明，所得公式可以应用到金融实务中对此类衍生品定价中。

In the second chapter the theory of weighted residual technique is illustrated and the boundary integral function of the potential problem is deduced by it. Method of obtaining Greens function fundamental solution is presented. It also illustrates how to deal with inhomogeneous regions and the third boundary condition. At last the numerical solution of boundary integral function is presented.

第二章首先说明了加权余量法的原理，并由此推出了势问题的边界元积分方程，还介绍了无限域中格林函数的基本解的求法，以及多介质域和第三类边界条件的处理方法，最后说明了边界积分方程的数值解法。

The ratio of the vertical load distributed between the arch rib and the tie beam of the two schemes is the same. For the integral girder deck scheme, the longitudinal beams and the deck slab of endure more axial force compared to the ballast girder deck scheme, especially to the deck slab with a conspicuous increase of the axial force and higher stress, and the tie beam endure less. The force-bearing characteristics of the cross beams under the integral girder deck scheme is obviously better than that of the ballast girder deck scheme, especially at the two ends of each cross beam.

在受力上，与道碴板桥面方案相比，整体桥面方案竖向荷载在拱肋和系梁之间的分配基本相同，混凝土板和纵梁分担的纵向力则相对更大，尤其是混凝土板，增幅较明显，应力水平整体较高，系梁分担的纵向力则得到减小，横梁的受力状况整体桥面方案明显优于道碴板桥面方案，特别是在梁端处。

In order to calculate the integral of the Planck's blackbody formula within a limited region, trapezoid method and Simpson's method two kinds of numerical integral methods were used, and the analysis and comparison were carried on.

对普朗克黑体公式有界域内的积分，利用梯形法和辛普森法两种数值积分方法进行了分析和比较。

Currently used methods of transformation are: 1 integral average method, 2 average integral method, and 3 trapezoid method.

现有方法：①积分平均法，②平均积分法，③梯形法。

" I' d like to get some rough idea about music in the baroque ear, please."

请简要介绍一下巴罗克时期的音乐，好吗？

The results showed that the peak latency and pattern of SEPs elicited by electrical needling in LI-l1 and MP were similar. The amplitude of SEPs elicited by electrical needling in LI-l1 was higher than that of MP. There was no obvious SEPs generation when MM was electrical needling.

结果显示，电针刺激曲池穴和其邻近桡侧伸腕长肌运动点诱发性脑电波的波形和波峰时间是类似的，只是穴位的诱发性脑电波波幅较大，而电针刺激非穴位点并没有明显的诱发性脑电位。