查询词典 metric space

And a solution for crowd path navigation based Voronoi diagram is presented. By making use of the ability that the Voronoi diagram partitions the space according to the Euclidean metric, the path planning with collision avoidance is achieved by forbidding agents to move outside their Voronoi regions.

利用Voronoi图对平面按照欧式距离进行划分的特性，并通过将每个虚拟人的Voronoi区域作为其活动范围，使每个虚拟人都限制在自己的区域内活动，从而在人群路径规划中避免了为虚拟人进行碰撞检测的复杂操作。

Real Number System, Euclidean Space and Metric Spaces, Sequences in R and R^n, Differentiability on R and Rn, Integration on R and Rn, Infinite Series of Functions, Fourier Series, Fundamental Theorems of Vector Calculus, Inverse Function Theorem, Implicit Function Theorem and its Applications.

课程内容：实数系，Euclidean空间与距离空间，函数数列，函数级数，连续函数，可微分函数，可积分函数，反函数，隐函数定理及其应用，向量微积分基本定理，富氏级数。

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中，通常把所求的解归结为度量空间中映射的不动点，然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

Main contents of the thesis include point and edge extraction based on least-squares template matching; space circle template matching and reconstruction; outlier detection and elimination with fundamental matrix and trifocal tensor; improvement of Homography-based calibration technique, 2D-DLT and bundle adjustment based non-metric camera calibration technique with planar-scenes, point-line hybrid photogrammetry and visual inspection.

本文的主要研究内容包括影像格网点与直线段的自动最小二乘模板匹配；基于物方直接解的空间圆匹配与重建；利用基本矩阵和三视张量进行观测值粗差的剔除；同形矩阵摄像机标定算法的改进；基于二维 DLT 和光束法平差的非量测数字摄像机标定；点、线混合摄影测量模型与视觉检测精度分析等。

Asynchronous loading of control parameters · Rapid (25ns per pixel) rotation, warping, panning, and scaling of images · Three-dimensional image addressing capability · General third-order polynomial transformations in two dimensions on-chip · Three-dimensional transformation of up to order 1.5 also supported · Flexible, user-congurable pixel datapath timing structure · Static convolutional ltering of up to 16 x 16 Pixel, 256 x 256 pixel or 256 x 256 x 256 pixel windows · User-selectable source image subpixel resolution of 2-8 to 2-16 · Pin-compatible upgrade to TMC2302 · 24-bit (optional 36-bit) positioning precision within the source image space, 48-bit internal precision · Low power CMOS process · Available in a 120-pin Plastic Pin Grid Array and 120-lead Metric Quad Flat Pack

1第1页，本页显示记录1-11，共11条记录分1页显示·异步控制参数加载·快速（25ns的每个像素）旋转，弯曲，平移，缩放和图像·三维图像处理能力·一般二维三阶多项式变换片·三高达1.5三维变换命令也支持·灵活，用户可配置的数据通道的静态时序结构·高达16 × 16像素滤波卷积像素，256 × 256像素或256 × 256 × 256像素（3通）窗口·用户可选的源图像亚像素分辨率的2-8 2-16·引脚兼容的升级TMC2302·24位（可选36位）的定位源图像的空间内，48位内部高精度·低功耗CMOS精密加工·提供120引脚塑料针栅阵列和120引脚公制四方扁平封装

The notions of move generalized quasi-contractive mapping sequence respect to p and generalized Ishikawa-type iteration are introduced in p-convex metric space s.

在p-凸度量空间内，引入关于p的更广义拟压缩映射序列和广义Ish ikawa型迭代序列，证明了广义Ish ikawa型迭代序列收敛于关于p的更广义拟压缩映射序列的唯一公共不动点。

The author defines the lshikawa iteration process with errors for a sequence nonlinear generalized quasi contractive mapping in convex metric space s and prove that the iterative scheme converges to the unique common fixed point of the sequence of nonlinear generalized quasi contractive mapping.

在凸度量空间内，对非线性广义拟压缩映射序列定义了带误差的 lshikawa迭代序列，证明了带误差的 lshikawa迭代序列收敛于非线性广义拟压缩映射序列的唯一公共不动点。

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。

In Chapter One,we find the relationship between strong open set condition , Hausdorff dimension,the positivity of the Hausdorff measure and β space of graph-directed self-similar sets in complete metric spaces.

在第一章中，我们讨论了在度量空间中，图定向自相似集的强开集条件、Hausdorff维数，正的Hausdorff测度和β空间之间的关系。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。