查询词典 basis of linear space

Another definition of linear manifold is given, some properties of linear manifold as well as its relationship with linear space and system of linear equations are obtained.

本文从线性流形另一定义出发，得到线性流形的有关性质，并指出其与线性空间以及线性方程组之间的关系。

Through the use of linear space of the basic nature of the linear mapping, linear transformation, the matrix theory of knowledge, some of the linear transformation of the nature of proof, reasoning and calculation.

本文通过利用线性空间的基本性质、线性映射、线性变换、矩阵理论的知识，对线性变换的一些性质进行证明，推论和计算。

An original basis is constructed on the space in this paper. This basis has the similar properties to Bézier basis of the endpoint and interpolation. Then H-Bézier basis is defined based on the space, also the formula of recursion is given when. Next the properties are discussed.

该文从上构造一组初始基，该基具有类似Bézier基的端点性和插值性，在此基础上定义空间上的H-Bézier基函数并给出了的递推公式，讨论了该基所具有的性质。

As the track space increasing, the holding power which flexible holding parts act on sugarcane is dropping off. As the canvas layers and length of flexible holding part increasing, the track space is also increased when flexible holding parts act on sugarcane same holding power. As the length of flexible holding part increasing, the rate of slope of holding power following the track space to change would be decreased, so holding power would vary slowly. The holding power has a better linear relationship with the track space. Holding sugarcane stalk on knot or not on knot, sugarcane stalk having leaves or without leaves, the holding power would have not significant difference. Considering the structure of device and stress of sugarcane, 4-layers canvas conveyer belt was used as flexible holding part, while its length is 120mm, 160mm, or 200mm, the corresponding maximum track space is 135mm, 183mm, or 235mm. Experimental investigation of sugarcane windrowing was done on the arc-track-type flexible holding and conveying test mechanism.

随着轨道间距的增大，柔性夹持元件施加给甘蔗的夹持力逐渐减少；施加给甘蔗相同的夹持力，随着柔性夹持元件帆布帘层数和长度的增加，对应的轨道间距增加；随着柔性夹持元件长度的增大，柔性夹持元件施加给甘蔗的夹持力随轨道间距变化的斜率减小，夹持力大小的变化越缓慢；柔性夹持元件提供的夹持力与轨道间距均呈线性关系；柔性夹持元件夹在甘蔗节上还是不夹在节上，甘蔗有叶还是无叶，其施加给甘蔗的夹持力无显著差异；从夹持输送装置结构以及甘蔗的受力情况来考虑，选择4层帆布帘输送带作为柔性夹持元件更能平稳、柔和地夹持输送甘蔗，4层帆布帘120mm、160mm、200mm长的柔性夹持元件夹持甘蔗所需最大轨道间距为135mm 、183mm、235mm。

In this paper, a varieties of concepts of compactness of sets and sunsets are introduced in a complex locally convex space, which are respectively the generalizations of the known sunsets and convex sets. By establishing the relationship between restricted p-centers of a set in a complex locally convex space and restricted Chebyshev centers of the corresponding set in the quotient space with respect to ker, characterizations and uniqueness of restricted p-centers of sets in a complex locally convex space are obtained. These results are better than any other known ones when we restrict them in real normed linear spaces and real locally convex space.

本文首先在复局部凸空间中引入了几种紧性及几种太阳集的概念，它们分别是已有紧性和凸集概念的推广；然后通过建立局部凸空间中集的限制p-中心和关于ker的商空间中对应集的限制Chebyshev中心的关系，来研究局部凸空间中集的限制p-中心问题，本文即使是在实赋范空间和在实局部凸空间中所得的结果都分别是有关已知结果的深化和推广。

An iterative factorization method based on linear subspace for projective reconstruction is presented in the paper. It relies on the facts that the rows in the matrix including all the image points span the same linear subspace as the rows in the matrix including space points and the fact that any basis of the subspace can be regarded as projective reconstruction. The projective reconstruction and the depth factors are obtained based on linear iteration.

摘要该文提出了一种基于子空间线性迭代的射影重建方法，该方法利用所有的图像序列构成的行向量生成的线性子空间之和与射影重建结构点构成的行向量生成的子空间是同一线性子空间及在该子空间中任何一个基底都可以作为射影重建的特性，线性迭代地求取射影重建及图像深度因子。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

Then gives judging the vector linear relevance by the value of determinant, the order of matrix, the solution to uneven sublinear system of equations, Cramer principle, linear substitution, the theory of matrix and so on in the linear space and Ou Shi space, produces 13 equivalences of the vector linearity relevant under the dissimilar condition, and elaborates the widespread application of the vector linearity relevant through concrete examples.

在线性空间、欧氏空间中给出了运用行列式的值、矩阵的秩、齐次线性方程组的解、Cramer法则、线性变换、矩阵理论等知识来判定向量的线性关系，及不同条件下向量线性相关性的十三个等价命题，并通过具体例题阐述向量线性相关性的广泛应用。

The main work and the originality points of this dissertation could be concluded as the following parts:(1) To analyze systematically the mathematical model of LES of air flow in great space, under the case of isothermal and non-isothermal, as well as the combined action of buoyancy and strain. Some basic problems are studied about the LES application into airflow simulation of great space, such as boundary conditions, spatial difference scheme and time advancing scheme, time step etc., which creates the basis for the LES application to indoor airflow simulation.(2) Both the instantaneous and time averaged flow field of great space with multiple jets under isothermal and non-isothermal cases are explored with large eddy simulation method, and also discussed the dynamic characteristics and the law of fluidflow in the great space.(3) Based on the results of LES of the great space and the Fanger thermal comfort indexes, it is brought forward the concept of the series of dynamic thermal comfort evaluating indexes, which could be divided into thermal comfort index with time averaged properties PD, PPD, PMV, thermal comfort index with instantaneous properties IPD, IPPD, IPMV, and time averaged thermal comfort indexes TAPD, TAPPD, TAPMV, and transient situations time averaged thermal comfort indexes TTAPD, TTAPPD, TTAPMV. The differences among them and the calculation methods are discussed, and the four kinds of indexes are calculated with the thermal comfort index PD as an example.(4) Based on the LES results it is discussed the hot air stratification phenomena in air-conditioned buildings in the case with air supply and return registers on the ceiling and the case on the sidewall. The fundamentals of the hot air stratification are studied and the relations of estimating hot air stratification are brought forward.(5) With the advanced apparatus such as hot wire film anemometer IFA300 and laser particle field anemoscope, corresponding model test and site measurements have been done, which are compared with the simulation results and LES is proved a very promising method in air flow simulation indoor.

本文主要工作既创新点体现在以下几个方面：(1)系统分析了等温、非等温和考虑剪切力与浮升力综合作用的高大空间大涡模拟数学模型，并研究了高大空间大涡模拟在室内气流仿真应用中的一些基本问题，如边界条件、空间离散格式和时间推进格式、时间步长选择等问题，为大涡模拟在室内气流计算中的广泛应用打下了基础；(2)首次用大涡模拟方法研究了高雷诺数下高大空间多射流在等温、非等温情况下的瞬时流场和时均流场分布，并探讨了多射流流场的动态特性和流动规律；(3)基于大涡模拟的动态仿真结果和Fanger的热舒适指标，首次系统地提出了动态热舒适评价指标体系的概念：即基于时间平均参数的热舒适指标PD、PPD、PMV；基于瞬时参数的瞬时热指标IPD、IPPD、IPMV；基于时间平均热舒适指标TAPD、TAPPD、TAPMV；以及沿行动迹线的时间平均热舒适指标TTAPD、TTAPPD、TTAPMV，并分析了四类热舒适指标的差异性和计算方法，还以PD值为例对四类指标分别进行了计算；(4)基于数十种工况下空调房间大涡模拟的结果，研究了空调建筑上送上回和侧送侧回两种情况下热分层现象，并探讨了热分层的基本规律，首次提出了避免热分层现象的判断公式；(5)在暖通空调领域，首次使用IFA300热线风速仪、激光粒子速度场仪等先进设备，完成了与大涡模拟相对应的模型试验，并把实测结果与仿真结果进行了对比，说明LES在室内气流仿真方面是一种很有前景的方法。

The dissertation consists of three parts: firstly, the purpose 、 significance and the methods of the papers were demonstrated;and then, after researching in the traditional Chinese art and modern architecture with analogizing、 deducting research methods, this paper raise the theoretical basis of expressing "Architectural Conception" in the public building entrance space base on confining the concept . Finally, based on the former study, to the basic concepts to the creation of artistic conception in entrance space as a guide, this thesis focus on how to use the public building entrance spaces constituent elements to create space artistic conception, and analysis the methods of artistic conception creation in the entrance space of different types of construction simplify. This paper could be regarded as a reference of the research and practical operation on the theory of public building entrance space design, at the same time, a more humanity entrance circumstance for people could be provided.

全文共分三大部分：首先对论文研究的目的、意义、方法等进行了阐述；其次在对论文的相关概念进行界定后，运用类比、演绎的写作方法，在对中国传统艺术及现代建筑中意境的创造进行了借鉴研究后，进一步提出了公共建筑入口空间之&建筑意&表达的理论基础；最后在前文研究的基础上，以入口空间意境创造的基本观点为思想指导，重点阐述了如何运用公共建筑入口空间的构成要素来营造空间意境，并简单分析了不同建筑类型中入口空间意境营造的方法，期望在为公共建筑入口空间设计理论的研究和实际运作提供参考的同时，能为人们营造一个更加人性化的空间环境。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。