微分几何

Based on the assumptions of semi logarithmic relationship between coefficient of permeability and void ratio as well as the relationship between effective stress and void ratio of soil, the method of Lie Group Transformation is applied to solve the non linear partial differential equation of large strain consolidation of homogeneous saturated clay in semi infinite domain.

基于有效应力与孔隙比以及渗透参数与孔隙比之间的关系的一些假定，采用李群变换求解考虑材料非线性和几何非线性的半无限均质土体大变形固结非线性偏微分方程，得到了一个不考虑自重固结的完全解析解。

Numerical experiments were performed to demonstrate the efficiency and efficacy of the proposed methods, for both smooth and piecewise smooth domains with exact and noisy data.

文中给出了数值算例说明了基本解方法和边界节点法求解椭圆型偏微分方程反问题的有效性，分析了基本解方法的收敛性，考察了光滑和分片光滑的几何区域以及数据精确和含有噪音两种情形。

Aiming at the problem of coarse footmark surface with severe noises, based on the in-depth analyzing geometrical relationship and differential characteristics of the three-dimensional footmark impressing surface, we propose a principal curvature and principal direction based impressing surface segmentation algorithm and a multi-scale fusion algorithm to segment the stereo footmark.

针对立体赤足迹表面粗糙、噪声严重的特点，深入分析立体足迹三维表面的几何关系和微分特性，提出了基于曲面主曲率和主方向的立体足迹压力面分割算法和多尺度融合算法，分割结果理想并与领域知识吻合。4。

On this basis, second order displacement is calculated according to equation of corner displacement, principle of superposition and iteration.

二阶效应实质是小变形、大位移情况下的几何非线性问题，所建立的微分方程一般难以直接求解。

In this paper, we discuss question to find solution for a function different equation,several quadratic curves geometry properties are obtained.

本文通过对一个泛函微分方程解的讨论，给出一类二次曲线的几何性质。

When the geometric similitude ratio of the model to the prototype was determined and the loading similitude condition was satisfied by using similitude theory in structure modeling and experimental techniques, the prototype soil parameters were derived according to the model test result. The vibrating wheel compelled by harmonic exciting force was treated as a lumped mass vibrating system by equation equity method. By using this mechanical model in vibrating compaction, soil parameters were identified according to the equivalence of vibrating differential equation. The curve fitting method of amplitude versus frequency response was used for dynamic simulation based on the systematic dynamic equation of vibrating roller-soil system.

用相似理论与模型试验法在确定了模型与原型之间的几何相似比并满足载荷相似条件后，根据模型试验结果推导出了原型土体参数；用方程对等法把受简谐激振力作用的振动轮等效为集中质量振动系统，以此作为振动压实过程的力学模型，根据振动微分方程的等效条件进行识别；用幅频特性曲线拟合法以振动压路机－土壤系统动力学方程为基础，用计算机进行动态仿真。

In the analysis, a nonlinear wave vibration equation of the thin cylindrical shell including damping and items due to geometric nonlinearities was established and then transformed by Galerkin's method. With different combinations of modes different nonlinear differential equations in modal coordinates were obtained. The Runge Kutta method was used to solve the equations numerically and some features of nonlinear wave vibration were discussed.

在研究过程中，首先，考虑阻尼并引入几何非线性项，建立薄壁圆柱壳的非线性波动方程，然后，采用Galerkin方法对波动方程进行转换，选取不同的模态组合，得到相应模态坐标下的非线性微分方程，最后用Runge-Kutta法进行数值计算并对圆柱壳的非线性波动振动特性进行了分析。

In order to make motion planning fitting practice,many characteristic of CNC trajectory motion were discussed,such as the geometric,the motion and the time,the relation between orbit function and motional parameter was set up,the differential simultaneous equation about the trajectory motion was derived.

为了让运动规划符合实际，分析了数控加工轨迹运动几何特性、运动特性和时间特性，建立了轨道函数与运动参数的联系，推导出轨迹运动微分方程组。

A variational method with differential forms gives better precision for numerical solution of transport critical problem based on spherical geometry, and its computation seems simple than other approximate methods.

对于球几何问题，讨论了一种基于微分方程的变分形式求解方法，数值计算显示达到了较满意的精度，而且计算过程比起其他近似方法要简单

Geometry quality for these mappings can be obtained from these inqualities,and some sufficiency conditions for starlike mappings and spirallike mappings are given.

本文建立了多复变数单位球上全纯映照的一些偏微分不等式，由此可映照本身的一些几何性质，并得到星形映照和螺形映照的充分判别条件。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。