查询词典 geodesic

For the elliptic cylindrical surface which is the trunk of the blade,the geodesic and non- geodesic differential equations are deduced.

并针对叶片主干部分的椭圆柱面，分别推导其测地线和非测地线的微分方程式。

Based on the study on generation methods of cutting patterns, new methods for generating Geodesic Line, called Updated Geometrical Method, and for generating cutting pattern, called Secondary Geodesic Line Method, were put forward.

之后，在对各种裁剪分析方法比较和研究的基础上，提出了生成测地线的修正几何法和裁剪条元展开的二次测地线法，并编制了相应的计算程序。

Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. Finally, we will employ the Minkowskis support function to construct a new kind of non-circular smooth constant breadth curves in order to attack some open problems on the constant width curves for example, whether there is a non-circular polynomial curve of constant width, etc.

其次，对双曲平面上的曲线引入平均测地曲率的概念，并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系，其目的是为了将双曲平面上曲线的性质与欧氏平面中曲线的性质作一些对比；最后，我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线，其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线？

Here, we will give an independent proof of the existence for inequality (2.1.3), and by the way, give an estimate on the width of the bi-enclosing annulus of closed convex curves in the plane. Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature.

其次，对双曲平面上的曲线引入平均测地曲率的概念，并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系，其目的是为了将双曲平(来源：ABC论84文网www.abclunwen.com)面上曲线的性质与欧氏平面中曲线的性质作一些对比；最后，我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线，其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线？

The computer software is worked out to calculate numerically the geometric drive properties: normal curvature, geodesic curvature, induced normal curvature, induced geodesic curvature, lubrication angle, contact line and meshing area, etc.

本文首次建立了在双自由度运动状态下，用直线型切刀包络加工圆柱蜗杆传动的啮合原理数学模型；并编制了相应的计算机软件，对其几何传动特性：法曲。。。

Isomap is one of the representative techniques of nonlinear dimensionality reduction.It extends classical multidimensional scaling by considering approximate geodesic distance. However,Isomap is sensitive to noise because the approximate geodesic distance is constructed on the basis of Euclidean distance. In this paper,a kernel-induced distance metric defined in the feature space is introduced instead of the Euclidean distance to evaluate the geodesic distance and construct the corresponding neighborhood graph.

采用核方法在特征空间推导出一类异于欧氏距离的新度量，代替等度规特征映射中的对噪声敏感的欧式距离，用新度量构造测地距离和相应的最小近邻图，提高Isomap算法的抗噪声能力。

A generalized Gaussian Laplacian eigenmap algorithm based on geodesic distance is proposed,which incorporates geodesic distance and generalized Gaussian function into the original Laplacian eigenmap algorithm.GGLE algorithm can adjust the similarities between nodes of neighborhood graph,and can preserve the different degrees of local properties by using super-Gaussian function,Gaussian function or sub-Gaussian function.Moreover,GGLE can avoid the deficiency of Euclidean distance by using geodesic distance when neighborhoods of data points are enlarged for preserving more neighborhood relations.Experimental results show that the global low-dimensional coordinates obtained by GGLE have different clustering properties and different degrees of preserving local neighborhood structures when different generalized Gaussian functions are used to measuring the similarities between high-dimensional data points.(3) An ensemble-based discriminant algorithm based on GGLE is proposed.

该算法将测地线距离和广义高斯函数融合到传统的拉普拉斯特征映射算法中，可以调整近邻图结点间的相似度，通过选择超高斯、高斯或者次高斯函数来实现不同程度的近邻局部特性的保持；而且当需要保持更多的近邻关系使得数据点邻域增大时，采用测地线距离可以避免欧氏距离度量不合理的缺陷；实验结果表明在用不同的广义高斯函数度量高维数据点间的相似度时，局部近邻结构保持的程度是不同的，GGLE获得的全局低维坐标也呈现出不同的聚类特性。

It is useful for the direct and inverse solution of geodesic problem and applying in digital elevation model and 3D GIS model. geodesic coordinate system ; direction angle ; geodesic line ; differential relationship

本文则进一步探讨测地坐标的一些微分性质和微分关系式。1 基于测地坐标的大地线的二阶微分方程按照曲面的内蕴几何学，由

According to the obtained characteristics of focal points and principal planes, using the expressions of focal point, focal plane, focal length, principal point, and principal plane of geodesic lenses, the geometry graphic imaging formation principles of geodesic lenses are developed to get the object-image-relation of geodesic lenses .

利用短程透镜焦点、焦平面、焦距、主点、主平面等的表达式，根据短程透镜在大口径范围内理想聚焦，主平面为以焦点为圆心、以焦距为半径、在原点相切的两个圆弧等性质，推导出了短程透镜物像关系的作图法求取原则。

Built geodesic dome , geodesic dome , dense grid, dome , geodesic dome , polyhedral dome .

测地线拱顶，短程线拱顶，密网格穹隆，网格球顶，多面体穹窿。

He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后，在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加，包括肾小球病和球外疾病等。