离散

Vortex lattice method is presented for calculating the loading distributions on all blades of propeller and hub which a number of small hyperboloidal quadrilateral panels are discreted.

螺旋桨采用离散涡环法，将桨叶表面和桨毂表面离散为一系列双曲四边形，在四边形网格中布置集中涡环和线源分布，根据物面条件建立方程得到涡和源汇分布的强度。

Pawlak based on indiscernibility only can deal with discrete attribute value, so how to discretize continuous data becomes the bottleneck of using rough set theory.

Pawlak提出的以不可分辨关系为核心的粗糙集方法处理的是离散属性值，而实际生活中的数据大多数是连续的属性值，因此需要首先对数据进行离散化处理，这已成为粗糙集理论实用性的瓶颈。

The rough set required that discretization should be maintained indiscernibility of the original decision-making system, however, many algorithms before permitted approximate quality descended controlled certain scope.

粗糙集理论中要求离散化保持原有决策系统的不可分辨关系，但以往的一些算法在离散过程中会使近似精度控制在可以接受的范围，即允许一定的错分。

The transfer matrix method is used to carry out the vibration characteristic analysis of the fluid-filled piping system. The transfer matrix of the axial, transversal and torsion vibration of the fluid-filled straight pipe element is presented. And the transfer matrix of the elbow is derived according to the discrete model of the inextensible theory of the curve pipe. The effect of the flexural factor on the elbow's transfer matrix is studied.

基于充液直管的梁模型，考虑液体与管道之间的泊松耦合，详细推导了充液直管单元的轴向、横向及扭转振动传递矩阵；采用弯管不延伸理论的离散模型，将变管离散为一组首尾相连，并成一定角度的短直管单元，通过建立弯管处力平衡方程与连续性方程，建立了弯管平面内振动的传递矩阵，并研究了弯曲因子对传递矩阵的影响。

Insection 4.3, semi-discrete and fully discrete Fourier spectral and pseudo-spectral schemes are constructed. The convergence and stability for the schemes are proved, and the error estimates are obtained.Chapter 5, consider the damped coupled generalized nonlinear wave equations. In section 5.2, by coupled a priori estimates and Galerkin method, prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the existence of global attractors.

第四章，考虑一类具耗散的广义KdV方程组的周期初值问题，在第二节中证明了整体光滑解的存在性和唯一性，得到整体吸引子；在第三节中构造了半离散和全离散的Fourier谱格式和拟谱格式，在整体光滑解存在的条件下，证明了这些格式解的收敛性，并得到了误差估计。

The numerical results show that our method is effective. For the noncharacteristic Cauchy problem for 2-D and 3-D heat equation, we give the explicit H\"{o}lder type stability estimates by using weighted energy method. Especially,H\"{o}lder type stability estimate for discrete solutions of the heat equation is obtained through a fully discrete method. The numerical results are presented.

对于二维和三维的热传导方程的非特征Cauchy 问题，我们利用权函数方法，给出了一个显式的H\&{o}lder 型的稳定性估计，特别的，对于二维的非特征Cauchy问题，我们利用充分离散的方法，对二维问题的离散形式同样给出了H\&{o}lder 型的稳定性估计，同时，我们也给出了数值例子来说明我们的估计。

In the first part, first of all, we have a priori estimate for solution of the reaction-diffusion equation with initial condition and Dirichret boundary conditions. Then, we construct a semidiscrete Legendre pseudospectral scheme, and have a priori estimate for approximate solution. We discuss the asymptotic stability of approximate solution. At last, we get a error estimation on large time for solution of the semidiscrete system.

首先，对此类方程初边值问题的解进行了先验估计；然后建立方程半离散的Legendre拟谱格式，并对近似解进行了先验估计，讨论了近似解的渐近稳定性；最后，得到了半离散系统解的长时间误差估计。

Discrete point data can be applied with other GIS data to address some specific questions in our researches. But how to spatialize the discrete point data has been a question itself.

5离散点数据的连续空间化问题一直是将某些社会经济离散点数据与其他地理空间数据相结合，应用于各项实际研究的瓶颈问题。

Based on the idea and technical in the references[16],[17]and[26]as well as the theories of martingale,Brownian motion and stochastical orders,the expectation of present value of annuities with controlled random interests is obtained,and the upper bounds of present value function of discrete stochastic annuities with random interests in sense of convex order are derived,and the numerical characteristics of upper bounds are also obtained,furthermore,the expec

基于文[16]，[17]和[26]的思想方法以及鞅、反射Brownian运动和随机序的理论，得到了控制随机利率下连续年金现值的期望，并给出了离散随机年金现值函数在凸序意义下的上界，讨论了上界的分布函数和停止损失保费，进而得到了离散的随机年金现值的期望。

The triangular mesh is defined by points cloud and topologic relation among the points.

离散三角网格是由离散点云以及点之间的拓扑关系定义的。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。