维数

The algorithm for calculating natural neighbour co-ordinates and their derivatives based on Lasserre's algorithm for the volume of a convex polyhedron was derived and the generalized flowchart for NEM in 3D case was presented.

文中推导了基于 Lasserre凸多面体体积公式的三维自然邻结点坐标及其导数的算法，给出了三维自然单元法算法的流程图。

A 2D harmonic model based on the quaternion was constructed,and a special four-order cumulant was defined.

构造了合适的基于四元数的二维谐波模型，根据此模型定义了特殊的四阶累积量切片，分析了加性高斯在有色噪声中的二维三次非线性相位耦合。

Using the domain derivative of the far-field pattern for eddy-current inverse problem with Dirichlet boundary condition,a new algorithm to recover the shape of cracks was constructed and some numerical examples were given.

运用Dirichlet边界条件下涡流检测反演的远场区域导数，构造了反演缺陷形状的一种新算法，并且给出了二维及三维的算例，数值反演的结果与实际缺陷吻合得较好。

This paper gives the Euler characteristic of 2-dimemsional surfaces with crosscaps and surfaces with boundaries.

本文给出了带有交叉帽的二维曲面和带有边缘边的二维曲面的欧拉示性数。

In addition, Hamilton quaternion, Ma quaternion and their Euler formula similar to that of two-dimensional real signal were discussed.

讨论了Hamilton四元数、马氏四元数及其与二维实信号类似的欧拉公式。

This model used the finite—difference approximation to the advection— dispersion equation. The spatial derivatives in the flow equation are approximated by central difference written about grid—block boundaries and time derivatives are approximated by a fully implicit backward scheme.

水流方程的空间导数采用中心差分格式离散，时间导数采用隐式差分格式离散，建立了土壤水分和污染物在各种饱和度的条件下迁移转化方程耦合求解的二维数值计算模型。

Firstly, the two parts are solved separately, and the results are then coupled together. Because the thickness of the combustion reaction zone at high Re and Da numbers is less than the turbulent diffusion scale in diesel engines, the flame is extremely thin, its micro-structure keeps the laminar structure, so the turbulent flame can be regard as the ensemble of locally one dimensional, thin laminar flamelet embedded within the turbulent flow field.

由于柴油机中在高雷诺数和高Damkoeler数的情况下，燃烧反应区厚度小于湍流耗散尺度，火焰极薄，其微元保持层流结构，因此，湍流火焰可视为嵌入湍流流场内局部具有一维结构的薄的层流小火焰的系综，这便构成了层流小火焰模型主导思想，同时也使层流小火焰模型模拟柴油机湍流燃烧过程成为可能。

Key words:the three dimensional contact problem with friction;nonlinearcomplementary;nonsmooth equations;generalized derivative;nonsmoothmethod;convergence analysis

给出了三维摩擦接触问题的一个非光滑混合不动点模型及算法，这种算法无须求导数，没有引进任何额外变量，并且可视为一种三维摩擦接触问题的迭代法，利用非光滑分析和不动点理论对算法做了分析，给出了算法的不动点理论背景及算法的理论分析，为模型解的存在性及算法收敛性提供分析依据，最后给出了相应的数值算例。

The improved e-N method can also yield results well agree with those obtained by DNS.4 The transition prediction for boundary layers on cones with different key parameters such as angle of attack, cone half angle and the Mach number of the coming flow, have been made, to show the reliability of the modified e-N method.5 For the calculation of base flow, boundary layer equations can be used in the case of small angle of attack.

但是它要依赖于对初始扰动的正确预估，这显然又取决于更多飞行数据的积累和分析。e-N方法的转捩预测结果与直接数值模拟得到的结果也吻合较好。4通过对不同来流攻角、不同半锥角和不同马赫数的三维圆锥边界层的转捩位置进行预测，证实了改进的e-N方法对于三维边界层转捩预测是可靠的。5对于基本流的计算，边界层方程可以用于小攻角的情况，其计算量远远小于直接数值模拟，但背风面的剖面不可靠。

The quaternion signal model was constructed through the separated signal and its Hilbert transform. The corresponding four order cumulant was defined to restrain the additive Gauss noise and the frequency was extracted using the properties of Hamilton quaternion and hypercomplex.

并根据该模型利用特殊的四阶累积量切片分析了加性高斯有色噪声中二维谐波频率估计及联合Hamilton四元数和超复数在二维谐波频率估计中的应用前景。

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。