立方体

Based on the comparison of proposed basic topologies, Hypercube, as a popular used topology in networks, has a lot of advantages such as simple routing algorithm, small diameter and average number of internode distance, high fault-tolerance and so on. On the other hand, the network nodal degree which is logarithmically proportional to the number of network nodes limits the Hypercube network population most. So a class of hierarchical topologies are proposed to remedy this weakness of Hypercube and keep most of the advantages of Hypercube, such as CCC , HHC and deCube and so on.

基于对所提出的基本互连网络的性能比较，超立方体网络作为一个得到普遍研究的网络拓扑结构具有很多的优点，比如网络的非常简单的寻路算法，很小的直径和网络平均节点距离，高容错能力等等，但非常遗憾的是超立方体的缺点是超立方体的节点度随着网络规模的增加而成对数关系增加，从而限制了此网络的应用规模，大大地掩盖了它的诸多优点，所以人们提出了一类分层网络结构来弥补超立方体的不足同时最大限度地利用其优点，包括CCC，HHC以及deCube等。

We present firstly the hierarchy structure model of the n-hypercube , which gives a new method for researching hypercube. We discuss the optimal diagnosic algorithm of the nonsymmetry comparision model and the algorithm on hypercube 3independent set with the HHC.

本文首次提出了n维超立方体的层次结构模型，从而提供了一条研究超立方体结构的全新方法，并在研究非对称比较模型的最优诊断算法，超立方体3—独立点集的构造算法等方面取得了较好的结果。

The materialization of spatial data cube is based on the traditional data cubes and is different from traditional materialization.

空间数据立方体的物化在传统数据立方体的基础上展开，又不同于传统数据立方体的物化。

We study the recursive structure of the twisted-cube connected network sufficiently, and prove that the twisted-cube connected network is an n regular graph with connectivity n: point out that the twisted-cube connected network is a cube-free network, which is an essential distinction with the hypercube and other variations of the hypercube; prove that the diameter of n dimensional twisted-cube connected network is [ (n+1)/2] , which is almost the half of hypercube's.

首先对其结构的递归性进行充分地研究，证明它是连通度为n的n正则图；指出扭立方体连接网络无立方体子图，这是扭立方体连接网络与超立方体及其其它变种的本质差别；证明了n维扭立方体连接网络的直径为[（n+1）/2]，它几乎是超立方体直径的一半；最后，给出超立方体及其变种的等价定义，并对它们的结构递归性、网络参数和拓扑性质等作了简单的分析、综合和比较。

We play about space imagination, imagine yourself in the center of a cube, we have to out of the cube, we got out of the path is a cube of space, our movement, our path through time and events decision, this path can imagine into a movie.

大家发挥一下空间想象力，设想自己处在一个立方体的中心，我们要冲出立方体，我们冲出的路径是由立方体的空间、我们的运动、我们通过的时间和路径中事件决定的，这个路径可以想象成电影。

Similarly, a tesseract is composed of 8 cubes so each of these cubes could be a room.

同样，一个由8个立方体组成的超级立方体（数学中的立方体的思维模拟）中每个立方体都是一个房间。

The network is based on a W〓Cu〓 cube-like unit with eight 〓 anions at the corners of the distorted cube and twelve 〓 cations at the middle of the edges, in which a coordination anion 〓 acting as template is capsulated in the cavity of the W〓Cu〓 cube.

该结构中的基本单元可看成是一个类似立方体的W〓Cu〓结构，其中八个〓阴离子位于立方体的顶角，十二个〓阳离子处于立方体的边上，并且有一个〓阴离子作为模板被包裹在此立方体所形成的空腔中。

Because the octree tessellates the object into uniform cubic octants/voxels, this representation allows efficient simulation of heat flow from cubic voxel to cubic voxel.

由于八叉树表示的三维空间形体结构是由大小不同的众多立方体镶嵌而成，它可以有效地模拟热量从一个立方体流向另一个立方体，并动态产生模拟红外图象。

In this paper, a cube is used to denote the data-source of the video, with the interaction of the mouse, a large infinite imagined-plane is daggled to cut the cube in any directions, then it gets a cut-plane; After calculating the discrete points of the plane, the points can then be indexed to get the RGB value of the original points in the video-cube, to show the plane in the form of 2D instead of 3D.

用一个立方体表征视频帧序列数据在空间的存在形式，通过拖曳鼠标的交互作用，拖动一个假想的无限大平面任意切割该立方体，获得一个切面片；进而求解该切面片上的离散整数点，再通过这些点去索引视频立方体中对应点的像素颜色值，把该空间切面片以平面图的形式展示给用户。

For example, hypercubes, crossed cubes, m\{o}bius cubes, and twisted cubes of dimension $n$ all have diagnosability $n$.

举例而言，n维的超立方体、n维的交叉立方体、n维的梅氏立方体m？

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