空间

In the last chapter,we constructa bipartite graph by all 1-dimensional subspaces and all maximal totally isotropicsubspaces of symplectic space,and obtain that this graph is a distance-semiregulargraph,its bipartite half is the complement of symplectic graph.

最后，我们利用辛空间中的所有一维向量子空间及极大全迷向子空间构作了一类二部图，证明了此图是一个距离半正则图，其二部半图是辛图的补图。

By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces.

通过应用G-凸空间的乘积空间内一族GB-优化映象的极大元的存在定理，在G-凸空间的非紧设置下证明了某些重合点定理，Fan-Browder型不动点定理和极小极大不等式组的解的存在性定理。

In this framework, image frame, audio and text are represented, which are the three modalities in video shots as data points by the 3rd-order tensor. Then a subspace embedding and dimension reduction method is proposed, which explicitly considers the manifold structure of the tensor space from temporal-sequenced associated co-occurring multimodal media data in video. It is called TensorShot approach. Transductive learning uses a large amount of unlabeled data together with the labeled data to build better classifiers. A transductive support tensor machines algorithm is proposed to train effective classifier. This algorithm preserves the intrinsic structure of the submanifold where tensorshots are sampled, and is also able to map out-of-sample data points directly. Moreover, the utilization of unlabeled data improves classification ability.

在此框架中，视频镜头首先被表示成由视频中所包含的文本、视觉和听觉等多模态数据构成的三阶张量；其次，基于此三阶张量表达及视频的时序关联共生特性设计了一种子空间嵌入降维方法，称为张量镜头；由于直推式学习从已知样本出发能对特定的未知样本进行学习和识别，最后在这个框架中提出了一种基于张量镜头的直推式支持张量机算法，它不仅保持了张量镜头所在的流形空间的本征结构，而且能够将训练集合外数据直接映射到流形子空间，同时充分利用未标记样本改善分类器的学习性能。

With the geometry, theory of errors and optimization principle used and the related national standard referred, a novel 3DLSA for evaluating the spatial straightness errors was proposed, so as to evaluate the spatial straightness errors effectively and to gain the error values with higher accuracy. Then,a mathematical model of the 3DLSA was deduced, true three-dimensional fitting of the spatial line was theoretically carried out.

为了有效地评定空间直线度误差，并得出正确度较高的误差值，运用几何学、误差理论和最优化原理，参照相关国家标准，提出了评定空间直线度误差的三维最小二乘算法（3DLSA），推导了3DLSA算法的数学模型，实现了空间直线的三维拟合。

The parameters included drag-span ratio of cable,the value of prestressing force,the thickness of reinforced concrete floor,the cross area of tightwire and the number of prestressed tig.

利用ANSYS有限元分析软件建立了钢筋混凝土楼板模型和预应力空间组合结构模型，对楼板模型和预应力空间组合结构模型分别进行了模态分析，同时分析了垂跨比、预应力度、拉索截面面积、纵向连接索数和楼板厚度对预应力空间组合结构自振特性的影响

Based on the description of uncertain linear and area objects, intersection degrees for parts of uncertain linear and area objects are represented quantitatively. By calculating correlation degrees between spatial vectors composed of these measurement units and spatial relation vectors determined by 9-intersection model, a new model is presented for topological relations between uncertain linear objects and fuzzy region, which could distinguish the type of topological relations through quantitative analysis method.

在时不确定线状目标和面状目标进行描述的基础上，对不确定线状目标与面状目标各组成部分之间的相交程度进行了定量表达，通过计算这些度量组成的空间向量与9-交集模型确定的空间关系向量之间的相关度，提出了一种不确定线状目标和面状目标之间拓扑关系的描述模型，通过定量的方法来对其空间拓扑关系进行判别。

The phase space reconstruction theory of chaotic dynamic system, in combination of the non-linear reflecting and pan-capacity of neural network, can be used to establish the prediction model; and a kind of new prediction method is suggested to realize the complete tracing of phase point evolution process and to predict "the price nails", whereby improving the prediction accurateness and effectively solving the problem of negative prediction, with the satisfactory results obtained.

采用混沌理论预测系统边际电价针对我国电力市场电价变化特点，利用电价和负荷时间序列的混沌特性，重构准确的电价序列相空间，通过跟踪相空间相邻相点的演化趋势，建立基于快速BP网络的电价预测模型，对我国川渝电网电价进行预测，取得良好效果利用混沌动力系统的相空间重构理论，结合神经网络的非线性映射和泛化能力建立预测模型，提出一种新的预测方法实现了相点演化过程的全局跟踪，对"价格钉"进行预测，提高了预测精度，有效解决了负预测问题，得到满意的结果。

Through to old construction space inspection and analysis,it has pointed out the old construction in the regional function,as well as with uses again under the new engineering factor transformation,and proposes under the new technical spatial transformation way,in order to offer a reference for regional space reconstruction desigh engineering of old buildings.

通过对老建筑空间的考察与分析，指出了老建筑在地域性中的作用，以及在新技术条件下的改造与再利用，并提出在新技术下的空间改造方式，可供老建筑地域性空间改造设计工程参考。

The numerical calculation shows that the space distibution of the electromagnetic field in each sub-micro-layer changes with the varing transmission depth in the relief grating, the space distribution in each sub-micro-layer is uniformer than that in isotropic grating and the optical parameters of the anisotropic relief grating and the incident beam have a large impact on the space distribution of the electromagnetic field in relief grating and so on.

数值计算表明，光波场光强的空间分布随透射深度的变化而变化，各向异性介质光栅体内光波场的空间分布相对各向同性介质要均匀，光栅材料的性质参数和光束的入射参数对光波场光强的空间分布有较大的影响等。

The paper mainly concerns about:(1)Proposing the idea of completing the job using GIS software by discussing deficiency of the traditional transportation job;(2)Discussing the transportation plan algorithm and the flow, in this foundation, designing the transportation model programming realization flow chart;(3)With the comparison of the domestic and foreign GIS software platform, determining ArcGIS Desktop which has large drawing edit and spatial analyse functions as the development platform of transportation planning;(4)In the data organization and the database establishment, by using the recent object-oriented spatial data— Geodatabase and UML, completing the system database design and establishment, including spatial database, attribute database as well as transportation network database

详细研究内容如下：(1)论述了传统交通规划软件存在问题，提出了利用GIS平台开发交通规划系统的基本思想；(2)论述了交通规划的算法和流程，在此基础上，设计了交通模型编程实现的流程图；(3)通过比较国内外GIS软件平台，选定了具有强大图形编辑和空间分析功能的ArcGIS桌面版为交通规划系统的开发平台；(4)在数据的组织和数据库的建立上使用新的面向对象的空间数据—Geodatabase，并利用统一建模语言UML完成了系统数据库的设计与建立，包括空间数据库，属性数据库以及交通网络数据库；(5)论述了系统编程实现的基本方法，在ArcMap下采用VBA编程方法自由地定制了系统界面；(6)利用ADO Data和数据网格控件存取交通规划系统预测功能所需的数据库；(7)采用VB对ArcObject控件扩展开发方式，实现系统功能的开发，即利用COM技术的扩展性在VB中创建ActiveX动态链接库来实现特定的系统功能，并集成在ArcMap中运行；(8)系统完成了交通发生预测、交通分布、缓冲区分析、道路的网络分析、公交

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。