查询词典 topological dimension

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

The three dimension reticular cell counting method is adopted to calculate the fractal dimension characterizing skew degree of gray level surface. With the two-dimension reticular cell counting method, the fractal dimension characterizing wrinkle shadow block distribution is obtained. By means of distribution function, the fractal dimension for the size distribution of wrinkle shadow block can be achieved.

提出以尺度变化的立体网格计算灰度曲面的分维数，表示灰度曲面的起伏程度；以尺度变化的平面网格计算织物折皱阴影块分布的分维数，表示阴影块的离散程度；以当量直径为尺度，计算分布函数的分维数，表示织物折皱阴影块尺寸的分布。

By multiple statistic method the report finically decides the competence items, which are factor analyzed into 66 items, 12 factors and further combined into 5 dimensions. Knowledge and skill dimension includes knowledge structure, education concept and psychology tutoring skill; ability dimension includes common ability and special ability; self-concept dimension includes self-situate , self-efficacy and self-supervise; personality dimension includes character and emotion; motivation dimension includes extrinsic motivation and internal motivation. It proved that the questionnaire has good internal consistency reliability, and also has good internal validity and structural validity. It could be offer an effective tool to survey the psychology tutoring competence of university counselor. In the second research, using The Questionnaire for psychology tutoring competence actuality of university counselor to investigated 40 counselors and more than 300 college students from 6 college of Wu Han. It validated three hypotheses, the results show: There existed significant difference in university counselor within the variable of college, major, whether do not have assessed remarkable counselor ,how many years to be a university counselor and whether do not ever joined some training of psychology tutoring, but no significant difference within the variable of sex, age and degree.

研究二运用《高校辅导员心理辅导胜任力现状调查》和《高校辅导员心理辅导胜任力现状调查》对武汉6所高校的40名辅导员和300多名大学生实施调查，以辅导员的性别、年龄、学校、学历、专业，以及担任辅导员的年限、是否参加相关心理辅导的培训和是否获得过优秀辅导员称号为分组变量，讨论不同组别的辅导员各项胜任力水平的差异，验证了三个假设，结果表明：(1)学校：不同高校的辅导员心理辅导胜任力水平存在显著的差异，其中教育观念、外在动机和内在动机等方面差异非常显著；(2)专业：整体上，不同专业的辅导员心理辅导胜任力水平不存在显著的差异，但在教育观念、心理辅导技巧、外在动机和内在动机等因子上存在显著差异；(3)工作年限：整体上不存在显著的工作年限差异，但在心理辅导技巧、特殊能力、自我效能感和情感等因子上存在显著差异；(4)是否参加心理辅导培训：参加过培训的辅导员的胜任力水平整体上高于未参加过培训的辅导员，但并不显著，只在知识结构和心理辅导技巧上差异显著；(5)是否获得过优秀辅导员称号：总体上不存在显著的差异，但获得过优秀称号的辅导员胜任力水平在一般能力和性格两个因子上明显比较高；(6)辅导员的心理辅导胜任力水平与其性别、年龄、学历三个变量上各因子的显著性程度都未达到。05，属于不显著的水平。

The proof is given that the category of linear fuzzy neighborhood spaces in the sense of Katsaras is isomorphic to that of co-towers of topological vector spaces and the intersection of the category of linear fuzzy neighborhood spaces with the category of type fuzzy topological vector spaces is the extract category of induced fuzzy topological vector spaces.

证明了Katsaras的线性fuzzy邻域空间范畴与分明线性拓扑空间的余塔空间范畴同构，而Katsaras的线性fuzzy邻域空间范畴与型fuzzy拓扑线性空间范畴的交集恰为诱导的fuzzy拓扑线性空间范畴。

It is pointed out that the category of L-fuzzy topological vector spaces is isomorphic to the full subcategory of the category of I -fuzzy topological vector spaces, whose elements are induced I -fuzzy topological spaces.

指出了格值模糊拓扑线性空间范畴同构于I型fuzzy线性拓扑空间范畴中诱导空间构成的满子范畴。

This article focuses on the line-line, line-region and region-region topological relations algorithm, which come down to the same question: whether there are intersections between line and line. The sweep-line algorithm was studied by many people, but has some deficiencies to be improved, in order to handle some special cases and increase program efficiency. My works as follows: rectangular envelope to reduce executive times , vector cross multiplication to determine intersection between line and line, coordinates and slope method to deal with some special cases. C program examples are showed together.(5) Finally, to prove capability and efficiency of the model and calculation method, some test systems are developed. For example, complex spatial topological relation query, parcels' exact area with the area of linear object reduced in land use, quality inspection to cadastral data according to topological rule, spatio-temporal change query of cadastral data.

将线线、线面、面面之间的拓扑关系实现的算法归结为线与线之间求交的基本问题；为处理一些特殊的拓扑关系情况，提高扫描线算法的效率，探讨了包络矩形粗滤、判断线线是否相交的矢量叉乘法、线节点重合或共线的斜率坐标判断法等改进方法；同时还设计了一种新的节点微小圆求交的算法，可应用于图斑与线状地物细分拓扑关系及地类面积的计算；（5）本文设计了实验系统，包括复杂对象的拓扑关系表达与计算程序、图斑地类面积的计算程序、基于空间拓扑关系规则的地籍数据库质量检查功能，以及时空拓扑关系和变化语义分析等原型，验证了拓扑关系表达模型和计算方法的可行性和实用性。

It′s topological properties are studied,three equivalent conditions of which topological space is discrete space and one equivalent condition of which topological space is mediocre space are abtained.

以离散参数马尔可夫链状态空间E为集合定义该集合上的一个拓扑T，研究它的拓扑性质，得到拓扑空间是离散空间的三个等价刻画以及是平庸空间的一个等价刻画。

On the basis of the definition of the extraordinary Radon transform, the theory of rebuilding image from extraordinary Radon transform result is proposed, and some category such as image structure notation, topology of image structure notation and topological space, homeomorphism in topological space, equivalence of homeomorphism relation, topological constant of image structure notation.

与现有的基于区域内部或外形变换的形状分析方法相比，在理论方法上本质不同的是，本文提出的广义Radon变换，直接将原始的图象数据影射到特征空间，给出图象构图特征的描述，给出了可以用来进行图象检索或图象识别的结构特征谱。

Furthermore, in order to greatly improve computational efficiency, another topological optimization method, named as a topological derivative and level set algorithm for topology optimization, is also proposed by unifying topological derivative theory with the level set method.

同时，又将拓扑导数理论和水平集算法结合起来，提出了结构拓扑优化的拓扑导数与水平集算法，进一步提高了计算效率。

The innovations of this paper as follows:(1)The topological relation model between complex spatial objects is brought forward, which represented by some composite basic 9I matrix and results in general signification.(2)Time and space integrated topological model is suggested to reason about spatio-temporal change types;(3)Sweep-line algorithm is improved, and a new little circles of polyline nodes overlapped with region method is proposed. As result, it's efficient to calculate line-line, line-region and region-region topological relations.

本文的创新之处在于提出了一种能够描述复杂对象的数学表达模型，将复杂对象间的复合拓扑关系表示成基本拓扑关系的组合，具有一定的普适意义；研究了时空拓扑关系的内涵和表达方法，说明利用时空拓扑关系可隐性地实现时空变化语义的查询；对平面扫描线法进行了改进，提出了一种新的节点微小圆求交的算法，可有效地解决线面、线线、面面拓扑关系的计算问题。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。