查询词典 underlying topological space

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。

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。

Through topological analysis, draw out the topological characteristic of near field in slot jet: the amount, connecting forms of critical point and primary bifurcation, it have the same topological characteristic with round jet in despite of they have a different flow forms.

我们发现虽然有限长窄缝射流与圆孔射流在流动情况上存在一定差异，但它们近区流场的拓扑性质却是一致的。

Yi-shi Duan to study the Chern class and Chern-Simons topological field theory, and the various topological structures in early universe cosmology and condensed matter physics with the corresponding topological field theories.

本论文研究了U（1）和SU（2）规范势分解理论，并运用段一士教授所提出的Φ-映射拓扑流理论研究了陈类和陈-Simons拓扑场论，以及早期宇宙和凝聚态。。。

Topological indexes of A , B , C and D were all obtained from the different combination of topological vertex degree. A QSAR equation for this series of compounds was established based on the multi-linear regression method and a new group of autocorrelation topological indexes. The results showed that the biological activity is linearly correlated with the volume and branching size of the quinclorac derivatives. Finally, new herbicide was designed based on all QSAR results.

针对应用经典结构参数和量子化学参数得出的结果不够理想的问题，对点价自相关拓扑指数进行了研究，建立了一组新型的点价自相关拓扑指数A、B、C、D；首次将该指数用于除草剂氯喹酸酯类化合物的定量构效关系研究中，建立了很好的定量构效关系方程，综合分析所有的QSAR结果设计出了潜在的新型除草剂氯喹酸烯丙酯。

In terms of the topological invariant in Riemann-Cartan spacetime proposed by Prof. Duan and the φ-mapping topological current theory, we gave the cosmic strings with the complex scalar field and showed that the strings appear in the zeroes of the scalar field. Meanwhile one can find that the length of cosmic strings is quantized in the topological level and the quantum number is determined by Hopf indices and Brouwer degrees.

以段一士教授提出的Riemann-Cartan流形中的新拓扑不变量为基础研究了宇宙弦的拓扑结构，指出宇宙弦只能存在于复标量场的零点处，而且在拓扑层面上是量子化的，而该量子数决定于Hopf指数和Brouwer度。

We study the relation between topological sigma models and generalized geometries. The existence conditions for the most general type of topological sigma models obtained from twisting the N=(2,2) supersymmetric sigma model are investigated, and are found to be related to twisted generalized Calabi-Yau structures. The properties of these topological sigma models are analyzed in detail. The observa....

六标准差从1987年在摩托罗拉公司推行至今，已近20个年头，从一开始制造面的改善，延伸到非制造性的企业流程当中，它不但有效地变化员工能力与态度，也为企业带来突破性的营运改善，全方位提升企业竞争力；但事实上，六标准差管理活动导入对企业是一大变革性的挑战，因为其中牵涉策略、组织。。。。

5Topological inversion is applied to solve the transition problems from topological graph to practical gear train mechanisms. Four variant directions of topological inversion is noted and topological inversion chart library is founded.

5运用拓扑反演解决了由轮系拓扑图过渡到实际轮系机构的转换问题，指出拓扑反演的四个变化方向，建立了周转轮系的拓扑反演图库。

A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector space s, are given.

给出了两个拓扑向量空间的乘积空间上截口定理，极小极大不等式及一个推广的不动点定理。指出这3个形式不同的结果与Tychonov不动点定理是相互蕴含的。并且用截口定理直接证明了多值映射的一个重合定理

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。