椭圆几何

Grinding valve hole (1) research with Mainly to restore valve grinding hole geometry, eliminating valve hole taper and ellipticity.

研磨阀孔(1)研具研磨主要是恢复阀孔的几何尺寸，消除阀孔的锥度和椭圆度。

This paper de-duces the equation of scroll case surface with the enveloping theory,builds the envelope sur-face of ellipsoides with variable radius by using the the method of constructing an ellipse withseveral arcs and presents a new and simple method fOr geometry moulding of scroll case sur-face.

蜗壳是水电站的重要部件之一，本文以包络理论推导了蜗壳曲面方程；并采用分段圆弧构造椭圆的方法构造了变径椭球包络曲面，为蜗壳曲面的几何造型提出了一种新的简便方法。

Some geometric data of ellipse in hyperbolic space are considered,such as set inclusion,arc length,geodesic curvature,curvature,area and total curvature .

在双曲空间中，考察椭圆的包含关系，对弧长元素、测地曲率、曲率、面积及全曲率等几何量做出细致考察。

The second part(Chapter 4,Chapter 5 and Chapter 6)is devoted to freeboundary problems(inverse boundary value problems or geometric inverse prob-lems)for elliptic systems of partial differential equations in continuum mechanics.

第二部分(即第四章、第五章、第六章)讨论力学中椭圆型方程组的自由边界问题(也称逆边值问题或几何反问题)及数值分析，主要涉及到渗流与气体动力学中的一些问题。

In this paper,the existence of the nontrivial solution to a class of quasi-linear elliptic problem is investigated based on the Hardy inequality and the Mountain Pass Geometry.

使用Hardy不等式和山路几何研究了一类拟线性椭圆问题非平凡解的存在性。由于难以得到所讨论的问题的基本解，因此研究中对基本解进行了估计，并证明了c条件

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。

In Chapter Four, the surface fracture was studied for a functionally graded plate with a semi-elliptical surface crack under state thermal loading, and studied the influence of crack sizes, aspect ratios and material property on the stress intensity factors along a crack-front under two types thermal loading: calefactive state thermal loading and descent state thermal loading.

第四章研究了含有半椭圆表面裂纹的功能梯度材料板条在稳态温度热载荷作用下的裂纹问题分析，着重考虑了升温载荷及降温载荷作用下应力强度因子在裂纹前沿的分布及材料梯度及裂纹与板的几何尺寸对应力强度因子的影响。

In addition, the conditions to avoid the loop of P curve are given. The method of obtaining ellipses by decomposing II?

这种椭圆曲线的分解方法为物体的精确描述与几何不变量的计算提供了方便。

According the experiential formulas of headbox to design the stepped diffuser headbox's geometry parameters. Supposing Paper suspension flow as potential flow and basing on hydrokinetic and computational fluid dynamics theories, we can solve the elliptoid partial differential equations which are followed by the flow functions and the potential functions by finite element method and simulate the flow's speed distribution with pde toolbox of matlab software. The simulate results and the flow analysis have good precision.

按照流浆箱的经验设计公式，设计阶梯扩散式流浆箱的各组件几何参数，以流体动力学、计算流体力学等理论为基础，假定浆流的流动为势流，采用有限元法求解浆流流动时其流函数和速度势函数所符合的椭圆型偏微分方程，应用matlab软件的偏微分方程工具包pde toolbox，模拟出所设计的流浆箱各组件内的浆流的流场流速分布，模拟结果与数值计算流动分析结果吻合。

The feature point in affine scale-space has higher repeat rate under nonisotropic geometric transformation and the ellipse window of nonuniform Gaussian kernel on characteristic scale is founded on image contents.

仿射尺度空间上的特性点在非同向性几何变换中具有更高的反复率，并且其特性尺度上的非统一高斯核椭圆窗口是基于图像内容的。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。