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半单复形IM_V(M,Q)(英文)
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作者 郭景美 《数学杂志》 CSCD 北大核心 2003年第4期403-406,共4页
设M ,V ,Q是李普希茨流形 ,M是V的局部LIP平坦的紧子流形 ,V是开流形且dimV =dimQ .设U是M在V中的某开邻域且Δn 是Rn 中n维标准单形 .如f:Δn×U→Δn×Q是一个LIP浸入且P1f =P1,称f是一个n维单形 .令 (IMV(m ,Q) ) n 是上面... 设M ,V ,Q是李普希茨流形 ,M是V的局部LIP平坦的紧子流形 ,V是开流形且dimV =dimQ .设U是M在V中的某开邻域且Δn 是Rn 中n维标准单形 .如f:Δn×U→Δn×Q是一个LIP浸入且P1f =P1,称f是一个n维单形 .令 (IMV(m ,Q) ) n 是上面所定义的所有n维单形的集合且令IMV(m ,Q) ={ (IMV(M ,Q) ) n} n 0 .本文证明了IMV(M ,Q)在我们所定义的面运算 i和退化运算Si下是一个半单复形 . 展开更多
关键词 单复形 李普希茨流形 LIP浸入
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Morse理论支持下的建筑物点云特征提取 被引量:4
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作者 李红梅 张春亢 +1 位作者 张霞 罗竹 《测绘通报》 CSCD 北大核心 2020年第5期31-35,42,共6页
针对传统特征提取算法的结果存在交叉紊乱、不连续、缺少拓扑关系等问题,本文提出了基于Morse理论的建筑物点云特征提取算法。首先定义三维表面模型上顶点的Morse函数指标;然后采用邻点比较法自动提取特征点;最后针对Morse-Smale复形的... 针对传统特征提取算法的结果存在交叉紊乱、不连续、缺少拓扑关系等问题,本文提出了基于Morse理论的建筑物点云特征提取算法。首先定义三维表面模型上顶点的Morse函数指标;然后采用邻点比较法自动提取特征点;最后针对Morse-Smale复形的对偶性在建筑物拓扑特征中已无实际意义的问题,提出了单复形拓扑模型的提取与简化算法。试验结果表明,该算法能够获得清晰、连续、完整的建筑物特征线,实现对建筑物模型表面的完全分割;简化算法在保证建筑物特征线拓扑一致性的前提下,可以获取不同层次的建筑物拓扑特征,为建筑物模型的重建与可视化提供了保障。 展开更多
关键词 建筑物点云 特征提取 MORSE理论 单复形 特征简化
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Taxonomic Status of Daduhe Loquat (Eriobotrya prinoides var. dadunensis) 被引量:1
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作者 Wang Yongqing Yan Juan Yang Qin Fu Yan Luo Nan Lv Xiulan 《Journal of Agricultural Science and Technology(B)》 2012年第6期659-664,共6页
The taxonomic status of Daduhe loquat (E. prinoides var. dadunensis) was studied through analyzing genetic relationships among Oakleaf loquat (E. prinoides), Daduhe loquat and Common loquat (E. japonica) using i... The taxonomic status of Daduhe loquat (E. prinoides var. dadunensis) was studied through analyzing genetic relationships among Oakleaf loquat (E. prinoides), Daduhe loquat and Common loquat (E. japonica) using inter simple sequence repeats (ISSR) molecular marker and morphologic marker in this paper. Based on ISSR marker research, the similarity coefficient between Oakleaf loquat and Common loquat was lower than the similarity coefficient between Oakleaf loquat and Daduhe loquat while the similarity coefficient between Daduhe loquat and Common loquat was intermediate. The highest additivity was obtained when Daduhe loquat was regarded as the undetermined hybrid (45.8%). The specific bands of Oakleaf loquat and Common loquat were present in Daduhe loquat. Based on morphologic traits research, Daduhe loquat was also between Oakleaf loquat and Common loquat but a little leaning to Oakleaf loquat. All the results support that Daduhe loquat was hybrid of Oakleaf loquat and Common loquat. 展开更多
关键词 Common loquat Daduhe loquat genetic relationship ISSR marker morphologic traits Oakleaf loquat taxonomic status.
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The Category of Recens and Pure-Mindedness in J6zefBafika's Axiological Reflection
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作者 Pawel Nierodka 《Journal of Philosophy Study》 2015年第10期487-498,共12页
I systematize thoughts within the scope of J6zef Ba6ka's philosophical system known as recentivism. I analyze the axiology of recentivism in two categories: recens (i.e., "now") and pure-mindedness. Also, I diff... I systematize thoughts within the scope of J6zef Ba6ka's philosophical system known as recentivism. I analyze the axiology of recentivism in two categories: recens (i.e., "now") and pure-mindedness. Also, I differentiate among pure-mindedness, which is a quality of homo euthyphronicus (i.e., pure-minded man), simplicity, which is a quality of homo simplex (i.e., simple man), and complexity, which is a quality of homo technicus (i.e., technical man). Moreover, I present different meanings of pure-mindedness which form the basis for reflection in the axiology of recentivism, i.e., the ethics of pure-mindedness, euthyphronics, and esthetics. Then, I use these meanings of pure-mindedness to define the attitude of homo euthyphronicus. Homo euthyphronicus is a man who seeks balance between simplicity and complexity in the modem world, which is highly complex and full of civilization-related threats, while stressing the importance of axioiogical values. 展开更多
关键词 SIMPLICITY complexity pure-mindedness the present AXIOLOGY
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Homology Groups of Simplicial Complements
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作者 Jun MA Feifei FAN Xiangjun WANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第5期683-690,共8页
This paper deals with homology groups induced by the exterior algebra generated by the simplicial compliment of a simplicial complex K. By using ech homology and Alexander duality, the authors prove that there is a du... This paper deals with homology groups induced by the exterior algebra generated by the simplicial compliment of a simplicial complex K. By using ech homology and Alexander duality, the authors prove that there is a duality between these homology groups and the simplicial homology groups of K. 展开更多
关键词 homology duality algebra simplex proof topological exterior integer inflation complement
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ON EXTREMALITY AND UNIQUE EXTREMALITY OF TEICHMULLER MAPPINGS 被引量:2
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作者 LAI WANCAI WU ZHEMIN(Department of Applied Mathematics, Hua Qiao Universityl Quanzhou 362011, Fujian, China.) 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第3期399-406,共8页
Consider the Teichmuller mapping f associated with in the unit disc D and the class of all quasiconformal mappings in D with the boundary values of f. For a special holomorphic function, the present paper gives the ne... Consider the Teichmuller mapping f associated with in the unit disc D and the class of all quasiconformal mappings in D with the boundary values of f. For a special holomorphic function, the present paper gives the necessary and sufficient condition on, such that f is uniquely extremal among the class. Further, for a general holomorphic function, the anthors suggest the models of the best possible growth conditions on, such that f is extremal or uniquely extremal among the class respectively. 展开更多
关键词 Teichmuller mapping EXTREMALITY Unique extremality.
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Eventual Positivity of Hermitian Polynomials and Integral Operators 被引量:1
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作者 Colin TAN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第1期83-94,共12页
Quillen proved that if a Hermitian bihomogeneous polynomial is strictly positive on the unit sphere, then repeated multiplication of the standard sesquilinear form to this polynomial eventually results in a sum of Her... Quillen proved that if a Hermitian bihomogeneous polynomial is strictly positive on the unit sphere, then repeated multiplication of the standard sesquilinear form to this polynomial eventually results in a sum of Hermitian squares. Catlin-D'Angelo and Varolin deduced this positivstellensatz of Quillen from the eventual positive-definiteness of an associated integral operator. Their arguments involve asymptotic expansions of the Bergman kernel. The goal of this article is to give an elementary proof of the positive-definiteness of this integral operator. 展开更多
关键词 ASYMPTOTICS POLYNOMIAL POSITIVITY
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