查询词典 mean curvature

We decompose curvature signal with wavelet at first and then extract itslow frequency coefficients as new smooth curvature signal, which is used to constructa G~2 continuous piecewise rational cubic Bezier curve with GHI method subsequently.

本文首先对估算得到的离散曲率进行小波分解，提取其低频部分作为新的曲率，然后利用几何Hermite插值方法，重建出光顺的截面线。

We decompose curvature signal with wavelet at first and then use its low frequency coefficients as new smooth curvature signal, which is used to construct a G^2 continuous piecewise rational cubic Bezier curve with (Geometric Hermite Interpolation, GHI) GHI method subsequently.

针对在逆向工程的实践中常见的轮廓线的光顺问题，给出了一种先对曲率图进行小波分解，提取其低频部分作为新的曲率图，并利用几何Hermite插值方法，生成G^2连续的分段三次有理Bézier曲线，从而重建出光顺的产品轮廓曲线的新方法。

The weakness of fixed step-size is that step-size is not variable regardless the curvature of each point of the integral curve change or not, which will affirmatively bring serious error in these points that the value of curvature is bigger. And, this kind of error will accumulate in calculating process.

定步长的缺点在于不管是积分曲线的各个点的曲率如何都取一样的步长，这样肯定会在曲率大的一些点带来比较严重的误差，这种误差将在每一步的计算中积累。

So we need consider the effects of the earth curvature. In global integration, the requirement of the data coverage and the computation are comparative high. In this thesis, a moving coordinate system is used to overcome the effects of the earth curvature. And a differential calculation concept is proposed that assumes the difference of geoid calculated between the central point and its marginal point is constant when the integration area is far away from the central point.

论文中提出了利用柱体积分时采用移动坐标系来顾及地球弯曲的影响，并利用差分的概念，设想离计算区域到一定距离后，流动点对计算区域内的中心点和边缘点的影响之差为一常数，并用试验的方法，统计分析了它们对大地水准面的有效积分拓展范围。

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundleFor a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained. Then, the monotonicity formula and the small action regularity theorem can be proved. We will give the locally uniform estimates for the higher derivatives of the curvature.

本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上，推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程，得到了该热流的能量不等式和Bochner估计，由此可推出单调性公式和小作用量正则性，以及曲率各阶导数的局部一致估计。

We can regard the narrow gauge mine car and the level man car as a evolution of the inclined-shaft man car ,the computing methods of the radius of curvature between them are same,so the study of the passing radius of curvature for the inclined-shaft man car is of great significance,which will produce far-reaching effect for design,test,research and development of the man car and the gauge car.

矿用窄轨矿车和平巷人车可以看成是斜井人车的一种演变，其曲率半径的取值方法同斜井人车的曲率半径取值方法基本上是一致的，所以斜井人车所能通过的曲率半径的取值方法的研究有着重要的意义，对人车和窄轨矿车的设计、检测检验、研发也有着深远的影响。

The results show that structure curvature is negatively related to coalbed gas content,relative gas emission rate,outburst gas and coal amounts which reflect No15 coalbed of Ji is above the neutral plane of folds.That is,the No15 coalbed of Ji Group is compressed in incline and is tensed in anticline,and the higher structure curvature is,the higher stress is.

结果表明，构造曲率与瓦斯含量、瓦斯相对涌出量、突出瓦斯量、突出煤量呈负相关关系，反映研究区己15煤层位于褶皱中和面以上，即煤层在向斜轴部受挤压而背斜轴部受拉张，正曲率值反映煤层受到拉张应力作用，负曲率值反映煤层受到挤压应力作用，曲率绝对值越大，受力越大。

In this paper, we introduce the estimation and algorithm o f p arameter and some diagnostic statistics. We deduce the computation formula of curvature and conformal normal curvature for four perturbations of models.

本文主要介绍了指数族非线性模型的参数估计及其算法，若干诊断统计量，并将保形法曲率应用到指数族非线性模型中，推导了模型四种扰动方式的曲率和保形法曲率计算公式。

In 1986, R.D.Cook proposed differential geometry to assess local influence of minor perturbations of linear statistical models. Poon and Poon(1999) constructed a conformably invariant curvature , the conformal normal curvature, for the same purpose.

Cook(1986)用微分几何的方法评估了线性统计模型微小扰动的局部影响，Poon and Poon(1999)改进了Cook提出的统计曲率概念，定义了保形法曲率。

The interpolate algorithms of three-order NURBS curve and double three-orders NURBS surface are presented. The expressions of partial derivative and normal curvature of NURBS surface are derived by the theory of differential geometry. The geometric characteristics of different curvature area of the free-form surfaces are analyzed in detail. All these work lays a theoretical foundation for constructing the cutter location calculating model of free-form surfaces NC machining. 2 On the basis of analyzing the methods of cutter path generation, the standard of evaluating the various methods of cutter path generation is presented. The method of generating cutter path with constant scallop height is presented for the first time.

本文以提高复杂曲面多坐标数控加工精度和加工效率为目的，在对国内外研究现状进行深入分析的基础上，对数控编程中各环节的关键技术问题进行了深入研究，主要内容包括以下几方面： 1 分析了复杂曲面各种造型方法的优缺点，给出了根据各种边界条件所确定自由曲面的NURBS表示方法以及三次NURBS曲线曲面反算算法；用微分几何理论推导了NURBS曲面的偏导矢及法曲率计算表达式；对曲面不同曲率特性区域的几何特征进行了深入分析，为建立复杂曲面的数控加工刀位计算模型奠定了理论基础。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。