空间

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容：在第一部分，我们介绍了本文所用到的几个基本概念和引理；第二部分，我们在二维向量空间中引入了绝对值范数，并且证明了二维向量空间是一个Banach空间；在第三部分中，通过第一部分关于-精细分划的定义，我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件，并讨论了二维向量值函数积分的一些性质。

With the analysis of communication relationship and space form relationship, this paper points out that we should full exert the accelerative action that space setting plays to communication relationship in our current open-space foundation.

通过对交往关系与空间形式关系的分析，提出我国当前的公共空间建设应当充分发挥空间设置对交往关系的促进作用。

It is concluded that there is spatial accrete characteristic between commerce and real estate, and the degree of integration affects the developmental level of spatial structure of retail. The paper explores the effect of traffic network on spatial structure of commercial types.

提出并界定了研究概念，从广州土地供应的数量、结构、分布等角度，分析了城市用地扩展与商业业态空间的关系，并总结指出：商业与房地产业具有空间共生性，相关产业的整合程度影响零售空间的发展水平。

If a mapping between two address spaces is tabular, there is no mathematical formula that will convert addresses in one space to addresses in the other.

如果两个地址空间之间是通过表来映射的，那么将这两个空间之一的地址映射到另一个空间上就不需要进行数学计算。

We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition , substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

We discuss the relation between elementary maps and ring isomorphisms, andwe give a characterization of elementary maps on stndard operator algebras on Banachspaces, JSL-algebras and nest algebras. For Jordan-triple elementeary maps, we provetheir additivity on a class of ring and show a relation of them with Jordan isomorphisms. Furthermore. we describe the Jordan elementary maps on standard operator algebrasand nest algebras. We also study the semi-Jordan elementary maps on effect algebrasand the space of self adjoint operators.

研究了算子代数上的初等映射和环同构的关系，完全刻画了Banach空间上标准算子代数，JSL代数和套代数上的初等映射；讨论了Jordan-triple初等映射的可加性以及它和Jordan同构的关系，进而完全刻画了Banach空间上标准算子代数和套代数上的Jordan-triple初等映射；刻画了效应代数和自伴算子空间上的semi-Jordan初等映射。

Disperses inthe process, the fire critical dangerous condition usually determinedaccording to the below situation:(1) Above 2m in the spatial hazeaverage temperature is not bigger than 180 ℃;(2) Below 2m in thespatial haze temperature does not surpass 100 ℃;(3) Below 2m in thespatial smoke aerosphere the CO density does not surpass 0.25%.

疏散过程中，火灾临界危险条件通常按以下情况确定：①2m以上空间内的烟气平均温度不大于180℃；②2m以下空间内的烟气温度不超过100℃；③2m以下空间内的烟气层中CO的浓度不超过0.25％。

3D reconstruction is one of the most challenging problems in computer vision. This project uses CAD model to increase the accuracy,robustness and speed of 3D reconstruction and five different works are conducted: 1 research on space curve 3D reconstruction method based on high curvature point nad turning point; 2 free-form curve 3D reconstruction based on B-spline and BURBS; 3 Active surface affine reconstruction based on single frame; 4 Matching and reconstruction of 3D sparse points; Data fitting method based on the iteration of nearest point.

三维重建是计算机视觉中公认的难题，本项目使用CAD模型来提高三维重建的精度、稳健性和速度的思路，围绕着空间曲线和曲面的三维重建和匹配开展了以下五个方面的研究：1）基于高曲率点和拐点分割的空间曲线三维重建方法研究；2）基于B样条和NURBS表示的空间自由曲线三维重建方法研究；3）基于单帧图像的有源曲面仿射重建；4）三维离散数据的匹配与重建；5）基于迭代最近点的数据拟合方法。

This project uses natural elements such as wood, bamboo, rock, and sand as the main materials for creation. Technical materials and concepts rich in natural qualities are also used. Artworks are exhibited in the natural environment and public space around the Aigrette Down. They engage in a simple but unique dialogue with the natural landscape and elements of public space.

本案将以自然界的木、竹、石、沙子等材料为主要创作材料，或富涵自然质感的科技材质，或观念上的介入等，以鹭鸶草原周边自然环境与公共空间做为展览空间，让作品与单纯却又具有特色的大自然地景及公共空间元素做对话。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。