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In relativistic non-linear field theory,topological defects are a kind of topological soliton.Soliton star is a soliton with star mass and star size.

孤子星是相对论性非线性场论中的拓缺陷,这类拓缺陷具有恒星到星系的质量。

Through topological theory and principle on flow analysis, draw out the topological characteristic of near field in round jet: the amount, connecting forms of critical point and primary bifurcation.

通过拓分析的方法,给出了横流中圆孔射流近区流场的拓性质:流场中奇点的类型、数目、连接方式及生成的主要流动分离线。

Based on a modified mesh-independent filtering scheme, a new interpolation function used to construct the topological variable field is presented.

物质点拓变量可视为节点密度概念的进一步拓展,基于修正网格无关性过滤函数提出了新的拓变量场插值形函数。

Structure-Based Approximation Learning Theory: Under the description of manifold and topological architecture of neural field, we have proposed a learning frameworks of neural networks based on global architecture approximation theory borrowed from the concept of topology and manifold to solve the optimal problems of learning in non-nonlinear and non-Euclidean space, and discussed a few basic components of the learning theory, learning mechanism and learning algorithm in the term of structure-based approximation and global structure analysis.

基于结构的逼近学习理论:通过人工神经网络模型神经场的流形结构和拓结构描述,我们提出了在非线性和非欧氏空间中基于整体结构逼近的神经场学习理论框架;用对偶流形理论和拓概念作为工具,讨论了神经网络的学习理论、学习机理、学习算法和算法的具体实现。

In chapter 1, an up to now synthetically evaluation is given on the research ways and conclusions about jet in cross-flow. Considering the shortage of previous research ways and techniques (the instantaneous flow field and vortices field can not be properly get), in addition to the deficiency of corresponding conclusion (mainly concentrate on the analysis of time-average but little on structures of flow and action of vortex), the research way and content is draft out in this part. Though PIV, the time-average, instantaneous flow field and vortices field can be get, that will unveil the coherent vortex and its course of generation, development and evolvement, with the assistance of K-ε model and Hybrid Finite Analytic Method , which will proof-test the experiment result and bring some complementary, more profound research about the 3-D characters can be done. Using some fundamental topological theory and principle on flow analysis, with anglicizing of vortex structure, a reasonable description is the topological characteristic of near field in JICF given.

首先在第一章中对横流中湍射流的以往研究方法和研究成果给予了综合的评述,针对横流中湍射流旋涡结构以往研究中研究方法的局限性(不能很好得到流动的瞬态流场及涡量场)和相应研究成果中存在的不足(大都集中在时均特性的分析,对流动的内部结构和旋涡的运动阐述很少),明确了本文的研究方法和研究内容:通过PIV流动测量显示技术得到流动的时均及瞬态流场、涡量场,来揭示横流中湍射流的时均、瞬态流场、涡量分布特性,和各种具有拟序结构性质的复杂涡系的产生、发展及演化过程;结合湍流k-ε双方程模型及相应的HFAM计算方法,对于实验进行相互验证和补充,从而更为充分地研究各种旋涡的三维特性;利用拓分析的一些基本原理及相关规则,依据对各种旋涡结构的分析,做出对射流近区流场拓性质的合理描述。

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-映射拓流理论研究了陈类和陈-Simons拓场论,以及早期宇宙和凝聚态。。。

The service provided by the community allows for the creation and deletion of the following resources inside a layer network domain: subnetwork, link, topological link, link end, topological link end and access group.

由这个群体提供的服务为创建和删除下列层网域内的资源提供了方便:子网、链路、拓链路、链路终点、拓链路终点和接入群。

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,对点价自相关拓指数进行了研究,建立了一组新型的点价自相关拓指数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。

A new group of autocorrelation topological index (At、Bt、Ct and Dt) was designed and developed based on the vertex degree of molecular topology and autocorrelation function of mathematics. The autocorrelation functions were calculated from the square root of the vertex degree、modified vertex degree and their combination, that is d i、、 and . The matrix description method and the algorithm of computer software have been developed for the new topological index calculation.

针对目前自相关拓指数的计算完全依赖于实验参数而存在的问题,以分子拓学点价和自相关函数研究为基础,将点价、修正点价及其组合:、、、的平方根分别作为自相关函数中的f,设计开发出一组新的以点价计算为基础的自相关拓指数At、Bt、Ct和Dt。

According to element bonding parameter topological index and calculate topological index of 36 variety metal ions.

本文应用元素键参数拓指数计算了36种金属离子的拓指数,用于关联金属离子与氨三乙酸配位稳定常数的研究,得到了好的线性相关性。

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