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Combinatorial computational geometry, which deals with collections of discrete objects or defined in discrete terms: points, lines, polygons, polytopes, etc., and algorithms of discrete/combinatorial character are used

组合计算几何。处理一系列离散的或用离散术语来定义的对象:点,线,多边形,多面体等等,并使用离散/组合特性的算法。

The discrete velocities are connected by Delaunay grids to form referring region, and the error vectors in the discrete data can be distinguished, corrected and interposed by continuity principle of flow.

2针对PIV数据错误矢量进行识别、修正与插值方法进行了研究,通过Delaunay网格将离散的各流速点连接起来,形成参考区域,利用流体的连续性原理实现了离散数据中错误矢量识别、修正与插值。

Applying the Euler method to the equation and particularly using the interpolation technique on variable delay, the Euler approximation is obtained. The discrete Euler approximation is extended to the continuous Euler approximation. It is proved that the Euler numerical solutions will converge strongly to the true solution under the local Lipschitz condition.

对方程应用欧拉方法,特别地对变延迟部分运用插值技巧进行数值离散后,将离散的欧拉格式延拓为连续的欧拉格式,从而得到欧拉格式在局部Lipschitz条件下强收敛到解析解。

The motion of a discrete curve in Minkowski space is first introduced. Then by identifying the spin vector of HF models with the unit vectors of discrete curve, respectively, we obtain the corresponding DNLS.

我们将主要考虑闵可夫斯基空间中离散曲线的运动情况,并利用离散曲线的单位矢量分别替代离散的MHF方程中的自旋矢量,给出相应的离散非线性薛定谔方程,从而建立了两者之间的几何等价性。

Cellular automata are dynamical systems in which space and time are discrete.

元胞自动机是一种有自组织行为的时空离散、状态离散的并行数学模型。

In this paper,results of Markov chain are used under the circumstances of the automaton model which belongs to logical level of Discrete Event System to analyze the steady states and transient states of the Markov model of DES,respectively based on four conditions of discrete-time parameter and continuous-time parameter.A simpler decision rule of system ergodic property which applies both to the conditions of discrete-time parameter and continuous-time parameter is presented through an example.The transient states of DES which under the condition of continuous-time parameter are analyzed and computed based on Kolmogorov backward equation or forward equation.

利用马尔科夫链的结果,在离散事件系统逻辑层次的自动机模型基础上,对DES的Markov模型的稳态和暂态特性,分别从时间参数连续和离散的情况下,分四个情况进行了分析,通过实例对系统遍历性提出了一条更简单的且在连续和离散时间参数情况下都通用的判定规则,并利用Kolmogorov向后或向前方程,对连续时间参数DES的暂态特性进行了分析和计算。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次,在"椭圆Galerkin投影"算子的误差估计的基础上,对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计,半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的,全离散的误差估计表明所产生的误差不但与影响域半径r有关,而且与离散时间变量的步长τ及其离散方式有关。

To the discrete-time systems, we introduce a new discrete-time norm, the algorithm given is not depend upon the initial data. For a class of uncertain discrete-time systems, we also adopt the method of iterative learning control, we convert the problem of learning control into a global stability of trivial solution for lower triangular matrix dynamic systems, and obtain the result of tracking to desired state of the system.

对于一般非线性离散系统,引进了离散的范数,所给的算法不依赖于学习控制算法中的初始数据,对于一类不确定离散系统的状态跟踪问题,我们也采用迭代学习控制的方法,将相应的学习控制问题转化为一个下三角动力系统的平凡解全局稳定性问题,获得了对系统理想状态的跟踪结果,并对所给的算法的收敛性进行了分析。

By analyzing the problem of hydrological 3D spatial dispersion in 3D finite differential numeric simulation of porous groundwater flow, as well as discontinuous spatial distribution and asymmetric thickness of porous aquiferous strata and partitive groundwater stratum, the paper presents the GIS-based technique of 3D spatial dispersion of porous aquiferous stratum system. Besides, the paper puts forward the 3D spatial dispersion method of irregular hexahedral unit based on GIS to guarantee to the greatest degree the uniqueness of the stratum types among the dispersed units and improve the precision of 3D spatial dispersion.

分析了目前孔隙地下水流三维有限差分数值模拟中对含水层系统三维空间离散存在的问题,针对自然界孔隙含水层与隔水层空间分布的不连续性与厚度的不均匀性,研究了基於GIS的孔隙含水层系统三维空间离散实现的技术路线,提出了基於GIS与不规则六面体元的孔隙含水层系统的三维空间离散方法,最大限度地保证了离散体元中含水层类型的单一性,提高了孔隙地下水流模拟模型三维空间离散的精度。

By analyzing the problem of hydrological 3D spatial dispersion in 3D finite differential numeric simulation of porous groundwater flow, as well as discontinuous spatial distribution and asymmetric thickness of porous aquiferous strata and partitive groundwater stratum, the paper presents the GIS-based technique of 3D spatial dispersion of porous aquiferous stratum system .

分析了目前孔隙地下水流三维有限差分数值模拟中对含水层系统三维空间离散存在的问题,针对自然界孔隙含水层与隔水层空间分布的不连续性与厚度的不均匀性,研究了基于GIS的孔隙含水层系统三维空间离散实现的技术路线,提出了基于GIS与不规则六面体元的孔隙含水层系统的三维空间离散方法,最大限度地保证了离散体元中含水层类型的单一性,提高了孔隙地下水流模拟模型三维空间离散的精度。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。