圆函数

In the dissertation, the nonlinear bending of circular sandwich plates based on Reissner theory is analyzedThe method of Point Collocation are used in the calculation,with the B-spline function taken as the trial function.

本课题研究了基于Reissner理论的夹层圆板的非线性弯曲问题。文中采用配点法计算，以三次样条函数作为应力函数和挠度函数的试函数。

Take the method of "subarea" and "conjunction" to segment the whole request model to three parts. Making use of boundary continuousness between medium and lining structure at stress and displacement, construct a wave function that can satisfy the stress boundary condition at horizontal surface by the scattering of SH-waves in circular part. And then, availing of the wave function, conjoin the circular part into the semi-circular hollow space at common boundary. The problem can be reduced to solve the question that can only meet the condition of "conjunction". Finally, the solution of the problem can be summarized to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.

采用"分区"与"契合"的方法，将整个求解区域分割成三部分，利用介质与衬砌结构在边界上的应力、位移的连续性，构造一个可以自动满足水平界面上应力边界条件的圆域对SH波散射的波函数；再利用这一波函数将圆域与半圆形凹陷半空间的"公共边界"进行"契合"，将问题简化成对一个只需满足'契合'边界条件的散射问题的求解；最终归结为对一组无穷代数方程组的求解问题，利用截断有限项的方法对其进行计算。

Functions are provided to support input in latitude and longitude, to support output of latitude and longitude, to calculate the great circle distance between two points and to easily specify a bounding box usable for index searches.

提供了几个支持以经纬度输入的函数、支持输出经纬度的函数，以及计算大圆上两点距离的函数以及可以比较简单地声明一个外包框用于索引搜索的函数。

Baernstein[2] gave the conclusion by using Koebe function as the extremal function , Glenn Schober[6] studied the classes such as S, P, K, S* of H and represented these functions with integral formulations. Wang Jian[3] and others investigated the integral mean values. Our work is continuation of their work.

Baernstein首先在单位圆上讨论给出了以Koebe函数作为极值函数的结论，Glenn Schober对H中一些函数子类如S、P、K、S~*等作了研究，将这些子类上的函数用积分表达出来，王键结合Baernstein~*函数的定义及Glenn Schober的结论，定义了对称集的概念并得出了一些函数类在其上的积分平均。

The method how to separate the radial jumpiness of the large shaft by three-point method to gain the round error in high precision is showed particularly. In the part of diameter measurement, this paper indicates how to standardize the photomicrosensor and shows the way how to use correction signal correct the measure error of the grating system which is used to measure the rotated angle of the wheel in detail.

文中详细论述了在圆度误差测量中，利用三点法分离大轴支承径向跳动引起的测量误差而获得高精度的圆度误差测量值的方法以及直径测量系统中，光电开关测量精度的标定方法和通过构建误差修正函数对实现滚轮转角测量的圆光栅系统的测量误差进行实时修正的方法。

The second algorithm uses ring projection to extract feature sequences in image templates, which overpasses the local area limit in tradition methods. While blending factors are gained from energy function that contains image gradient, which conquer the blur and mackle problems in the overlap area using tradition linear weight function. Thus we can gain pleasure visual effect using these two methods in image mosaics with notable illumination difference.

基于圆投影和能量函数优化的图像拼接算法则采用圆投影提取图像匹配模板的特征序列，克服了传统图像特征提取方法中的区域局限问题；对于图像融合，论文从图像能量角度出发，构造一个包含图像梯度的能量泛函，通过最小化该函数来求取图像重叠区域的全局最优融合因子，最终实现快速、准确地拼接图像。

The second research has also got that a function of slopes to C values is monotone decreasing function when target circles are bigger than distractors circles.

研究二针对目标圆大于干扰子圆大的条件，得到的目标搜索斜率对C值的函数也是单调递减函数，并确定了平行搜索与系列搜索的临界点〓（0.497）。

Adopting the conformal mapping or rotation axis etc complex methods which areoften used to treat with the hole or cavity problem,a two-dimensional cavity ofeither simply or multiply connected region is projected into the interior of acircle or an annulus.As well as the global coordinate system is turned into thelocal coordinate system.

采用处理孔口问题最常用的映射函数和移轴等复变函数方法，把复杂的单连通区域和某些复连通区域型二维孔洞转化为简单的单位圆内区域或圆环区域，把整体坐标转为局域曲线坐标，而，最终把问题简化归结为一组无穷代数方程组的求解问题。

In this paper, a region approximation idea that means using a "fat curve" with a width to approximate the offset curve is proposed, and a complete set of algorithms to approximate offset curve using disk Bézier curve are given and implemented. In the algorithms, the optimal and uniform approximate curve of the offset curve as the central curve of the Disk Bézier curve is found by using Remez method, and then the upper optimal and uniform approximation principle is proposed to compute the error radius function of the Disk Bézier curve. Thus, the whole Disk Bézier curve can be obtained. In the end of this paper, the approximate effect of the Disk Bézier curve is not only analyzed and assessed, but also some specific examples are provided.

提出用一条带宽度的"胖曲线"来逼近上述等距曲线的区域逼近思想，并建立与实现了圆域Bézier曲线等距逼近的整套算法，包括应用Remez方法求出等距曲线的最佳一致逼近曲线作为圆域Bézier曲线的中心曲线，提出上控最佳一致逼近的原理求出圆域Bézier曲线的误差半径函数，以及确定整条圆域Bézier曲线，最后还对该圆域Bézier逼近的效果做了分析和考核，并给出了一些具体实例。

Address the characteristics of non-uniform speed transmission, position function control and transmission ratio function control were presented to realize electronic gearbox. The differences between position function curve interpolation and general NC interpolation were analyzed. Considering the effect of uncontrollable continuous principal motion, interpolation slope and position function precompensation interpolation were presented. The relationship among interpolation, servo dynamic response and transmission precision was studied. The coordinate linkage relationship and electronic gearbox scheme in noncirclar gear hobbing were studied.

对电子齿轮箱实现非匀速比传动进行了研究，提出了位置函数控制与传动比函数控制两种非匀速比传动关系的实现方法；对位置函数控制方式，分析了位置函数曲线的插补与普通数控插补方法的区别，提出了插补斜率的概念与位置函数曲线的预补偿插补方法；对非匀速比电子齿轮箱传动精度进行研究，得出了插补精度、伺服系统动态性能指标与传动精度之间的关系；研究了非圆滚齿加工坐标联动的非匀速比传动关系，列出了多种可以满足要求的电子齿轮箱传动方案。4。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。