数值函数

The recursive formulas of the spherical harmonics integral between every other order are proved to be fast and stable by numerical computation.

数值试验表明，球谐函数跨次递推算法具有快速、稳定的优点。

In this paper the application of spline function is discussed in the view of computer animation making.

本文从电脑动画制作角度讨论了样条函数的应用，并介绍了一种计算机固化技术可采用的B样条算法，通过改变一些关键数值和改进编程技巧，更好的运用这个算

Some applications of spline functions in numerical solutions of differential equations are discussed in this dissertation.

本文讨论样条函数在微分方程数值解中的一些应用。

In this paper,it is suggested that the stable solution of Grüner′s equation is periodical.

通过理论分析和数值计算，给出Grüner方程的稳定解dφ/dt是一个与sinφ有相同周期的函数的见解。

After a brief summary of the research developments in particle average collision kernel model, correlated mathematic models and numerical simulation algorithms, direct numerical simulations were conducted to study particle collisions in a stationary isotropic homogeneous turbulent flow, with the aim to investigate the influence of turbulence on particle collision kernels of various finite-inertia particles.

本文在系统总结有关颗粒平均碰撞核函数的研究进展和相关数学模型的基础上，基于高效的后溯法来检测碰撞，首先对Reλ约为51均匀各向同性湍流内St_k (St_k=τ_p/τ_k)为0到10的有限惯性颗粒的碰撞行为进行了直接数值模拟，研究了湍流对有限惯性颗粒碰撞的影响。

Firstly, we collected and sorted out the GPS data, established the uniform velocity field for the Chinese mainland and the surrounding regions, and the horizontal deformation field relative to the Eurasia plate; Secondly, we established a motion model for the entire rotation and homogeneous strain of the first and second level blocks in Chinese mainland, analyzed the motion pattern and strain behavior of active blocks in Chinese mainland, as well as the motion pattern of principal fault zones in Chinese mainland; Thirdly, considering the heterogeneity of strain distribution inside a block and supposing that the strain tensor inside the block is the linear function of location, we derived and established an equation for the entire rotation and linear strain of block and a motion model for the entire rotation and linear strain of principal blocks in Chinese mainland; We also calculated the principal strain field and the maximum shear strain field in Chinese mainland and the surrounding regions, analyzed the basic characteristics of strain field in Chinese mainland, as well as the relationship between the spatial distribution of strain field and large tectonic zones; Finally, we established the 2-D geotectonic model and digital model for Chinese mainland and the surrounding regions, calculated the stress field in Chinese mainland and the surrounding regions, and analyzed the basic features of stress field in Chinese mainland and the principal driving force for the motion and deformation in Chinese mainland.

收集整理了已有GPS资料，建立了中国大陆及周边地区统一的速度场以及相对欧亚板块的水平形变场；建立了中国大陆一、二级地块整体旋转与均匀应变的运动模型；分析了中国大陆活动地块的运动状态，应变状态，以及中国大陆主要断裂带的运动状态；考虑到一个块体内部应变张量空间分布的非均匀性，假设块体内部的应变张量是位置的线性函数，推导建立了块体整体旋转与线性应变方程，建立了中国大陆主要地块整体旋转与线性应变的运动模型；计算了中国大陆及周边地区的主应变场与最大剪应变场，分析了中国大陆应变场的基本特征，以及应变场的空间分布与大型构造带的关系；建立了中国大陆及周边地区二维的地质构造模型和数值模型，计算了中国大陆及周边地区的应力场，分析了中国大陆应力场的基本特征以及中国大陆运动、形变的主要驱动力。

Landslide thrust ; passing coefficient method ; circular slip surface ; numerical integral method ; function of internal force

滑坡推力；传递系数法；圆弧滑面；数值积分法；内部力函数

The final shadow value is generated with the first several items of the Taylor expansion.

利用泰勒展开式计算得到的数值代替传统阴影图中的深度比较函数得到的二值结果，从而实现了对阴影边缘的反走样。

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。

For this purpose, this paper presents a novel clustering algorithm for these mixed data sets by modifying the common cost function, trace of the within cluster dispersion matrix. The Genetic Algorithm is used to optimize the new cost function to obtain valid clustering result.

为此，该文提出了一种基于GA的模糊聚类新算法，通过改进聚类目标函数将数值特征与类属特征相结合，从而实现具有混合属性特征数据的聚类分析；通过引入GA算法能够快速得到全局最优解，而且不依赖于原型初始化。

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。