小区域

The relationship between the minimum zone circle, minimum circumscribed circle and maximum inscribed circle was studied. Based on their relationship, the minimum zone circle and minimum circumscribed circle, maximum inscribed circle were transformed mutually.

本文研究了最小区域圆与最小外接圆、最大内接圆特征点的相互关系，实现了最小区域圆与最小外接圆、最大内接圆的相互转化，可有效解决最小区域圆的误差评定。

Thus, evaluation of the minimum zone circle could be solved effectively.Three methods of assessment of roundness error were proposed in this dissertation. Based on the criteria of the minimum zone circle, minimum circumscribed circle and maximum inscribed circle and convex hull, a unified approach was proposed to evaluate roundness error of the minimum zone circle, minimum circumscribed circle and maximum inscribed circle. Evaluation of the minimum zone circle, minimum circumscribed circle and maximum inscribed circle was fulfilled with rotation based the contact pattern. The minimum circumscribed circle and maximum inscribed circle were evaluated with curvature and the curvature circle.

本文提出了三种圆度误差评定的方法：根据最小区域圆、最小外接圆、最大内接圆在极坐标系下的判别准则，利用计算几何中的凸壳理论，提出了一种统一的评定方法，实现了对最小区域圆、最小外接圆、最大内接圆的误差评定；基于接触斑点的检验原理，利用旋转法，实现了最小区域圆、最小外接圆和最大内接圆的误差评定；利用曲率和曲率圆，实现了对最小外接圆和最大内接圆的误差评定。

The details as follow: 1.Based on rules about form error in GB, mathematical models of form error are established including straightness error on the base of minimizing zone method、least-squares method and two dots linked method ; flatness error based on minimizing zone method、lease-squares method、diagonal line and three dots method; circularity and cylindricity error based on minimizing zone method、lease-squares method、minimum circumscribed circle and maximum inscribed circle.

具体内容如下：根据国标中形状误差的相关规定建立了各种要素评定方法的数学模型包括：直线度的最小区域法、最小二乘法、两端点连线法；平面度的最小二乘法、最小区域法、对角线法、三远点法；圆度和圆柱度的最小区域法、最小二乘法、最小外接圆法、最大内切圆法。

The mathematical model can work out the minimum zone solution of the cylindricity error with arbitrary position in space, and there are no special requirements in choosing measurement points.

所建立的目标函数基于圆柱度误差最小区域定义，可以评定空间任意位置圆柱度误差的最小区域解，对测点无特殊要求。

The image is segmented into a large number of small patches using toboggan algorithm on the basis of local gray value,and each of such patches is considered as a node,then the law of gravity is used to define weights between the nodes.

利用图像的局部灰度信息进行滑降分割，将图像分割成多个小区域；把每个小区域作为一个节点，采用万有引力定律来定义各个节点之间的权值，利用随机游走算法产生最终的分割结果。

The image is segmented into a large number of small patches using toboggan algorithm on the basis of local gray value,and each of such patches is considered as a node,then the law of gravity is used to define weights between the

利用图像的局部灰度信息进行滑降分割，将图像分割成多个小区域；把每个小区域作为一个节点，采用万有引力定律来定义各个节点之间的权值，利用随机游走算法产生最终的分割结果。

In this paper, the domain decomposition method is used for the elliptical boundary problems on a pentagonal region. In every sub-domain, we solve the partial differential equations with TDQ method, namely, triangular differential quadrature domain decomposition method.

为求解五边形上的椭圆型微分方程边值问题，我们借助了区域分裂法(domain decomposition method，简称DDM)，将大区域分成几个小区域，在每个小区域上，用TDQ方法，这种方法我们称之为三角微分求积区域分裂法(triangular differential quadrature domain decomposition method，简称TDQDDM)。

Holds true whenever the diameter of the largest subregion is less than, then A is said to be the triple integral of function over the region ,written

任给， 存在，对的任意一个分法，设小区域为，它们的体积用表示，在每个中任取一点，当小区域的最大直径小于时，不等式成立，则成为在D上的三重积分，记作，或。

Minimum Zone Evaluation of form error is needed for measurement uncertainty analysis and assessment of inspectability of Virtual Coordinate Inspecting System, it is also a basis of Minimum Zone Evaluation of form errors and attitude errors.

形状误差最小区域评定是虚拟坐标测量系统中测量不确定度分析和可测量性评估所必需的，也是一切形位误差最小区域评定的基础。

The smallest area for which census information is available is the postal sector because of data-protection issues with providing specific information on individual postcodes.

报告能够提供整个区域和各个邮政代码区域的详细人口信息，人口普查信息可获取的最小区域是邮政代码区域，因为提供更小邮政代码区域的特殊信息受到数据保护的限制。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失