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Fractal geometry and topology abstracted from hair fibers
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作者 殷雅俊 杨帆 +1 位作者 李颖 范钦珊 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第8期983-990,共8页
Based on the concepts of fractal super fibers, the (3, 9+2)-circle and (9+2, 3)-circle binary fractal sets are abstracted form such prototypes as wool fibers and human hairs, with the (3)-circle and the (9+2... Based on the concepts of fractal super fibers, the (3, 9+2)-circle and (9+2, 3)-circle binary fractal sets are abstracted form such prototypes as wool fibers and human hairs, with the (3)-circle and the (9+2)-circle fractal sets as subsets. As far as the (9+2) topological patterns are concerned, the following propositions are proved: The (9+2) topological patterns accurately exist, but are not unique. Their total number is 9. Among them, only two are allotropes. In other words, among the nine topological patterns, only two are independent (or fundamental). Besides, we demonstrate that the (3, 9+2)-circle and (9+2, 3)-circle fractal sets are golden ones with symmetry breaking. 展开更多
关键词 hair fibers (92) topological patterns symmetry breaking binary fractal sets fractal geometry
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从毛发纤维中抽象出的分形几何与拓扑 被引量:7
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作者 殷雅俊 杨帆 +1 位作者 李颖 范钦珊 《应用数学和力学》 CSCD 北大核心 2009年第8期919-926,共8页
以羊毛纤维和人类头发为原型,以超级分形纤维概念为基础,抽象出了(3)分圆和(9+2)分圆分形集,构造了(3,9+2)分圆和(9+2,3)分圆双重分形集.针对(9+2)拓扑花样,证明了这样的命题:(9+2)拓扑花样精确地存在,但不唯一,其总个数为9,其中有2种... 以羊毛纤维和人类头发为原型,以超级分形纤维概念为基础,抽象出了(3)分圆和(9+2)分圆分形集,构造了(3,9+2)分圆和(9+2,3)分圆双重分形集.针对(9+2)拓扑花样,证明了这样的命题:(9+2)拓扑花样精确地存在,但不唯一,其总个数为9,其中有2种同素异构体,即9种拓扑花样中,只有2种是独立(或基本)的.另外证实了(3,9+2)或(9+2,3)分圆分形花样是一个对称性破缺的黄金分形. 展开更多
关键词 毛发纤维 (9+2)拓扑 对称性破缺 双重分形集 分形几何
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Preparation,mechanical,and thermal properties of a promising thermal barrier material:Y_(4)Al_(2)O_(9) 被引量:4
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作者 Yanchun ZHOU Xinpo LU +1 位作者 Huimin XIANG Zhihai FENG 《Journal of Advanced Ceramics》 SCIE CAS CSCD 2015年第2期94-102,共9页
In our previous work,anisotropic chemical bonding,low shear deformation resistance,damage tolerance ability,low thermal conductivity,and moderate thermal expansion coefficient of Y_(4)Al_(2)O_(9)(YAM)were predicted.In... In our previous work,anisotropic chemical bonding,low shear deformation resistance,damage tolerance ability,low thermal conductivity,and moderate thermal expansion coefficient of Y_(4)Al_(2)O_(9)(YAM)were predicted.In this work,phase-pure YAM powders were synthesized by solid-state reaction between Y2O3 and Al_(2)O_(3)and bulk YAM ceramics were prepared by hot-pressing method.Lattice parameters and a new set of X-ray powder diffraction data were obtained by Rietveld refinement.The mechanical and thermal properties of dense YAM ceramics were investigated.The measured elastic moduli are close to the theoretical predicted values and the stiffness can be maintained up to 1400℃.The flexural strength and fracture toughness are 252.1±7.3 MPa and 3.36±0.20 MPa·m^(1/2),respectively.Damage tolerance of YAM was also experimentally proved.The measured average linear thermal expansion coefficient(TEC)of YAM is 7.37×10^(-6)K^(-1),which is very close to the theoretical predicted value.Using high-temperature X-ray diffraction(XRD)analysis,volumetric TEC is determined(23.37±1.61)×10^(-6)K^(-1)and the anisotropic TEC areaa=7.34×10^(-6)K^(-1),ab=7.54×10^(-6)K^(-1),andac=7.61×10^(-6)K^(-1). 展开更多
关键词 Y4Al2O9 X-ray diffraction(XRD)pattern mechanical properties thermal expansion damage tolerance
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Modeling analysis revealed the distinct global transmission patterns of influenza A viruses and their influencing factors
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作者 Chaoyuan CHENG Jing LI +2 位作者 Wenjun LIU Lei XU Zhibin ZHANG 《Integrative Zoology》 SCIE CSCD 2021年第6期788-797,共10页
Influenza A virus has caused huge damage to human health and poultry production worldwide,but its global transmission patterns and influencing factors remain unclear.Here,by using the Nearest Genetic Distance Approach... Influenza A virus has caused huge damage to human health and poultry production worldwide,but its global transmission patterns and influencing factors remain unclear.Here,by using the Nearest Genetic Distance Approach with genetic sequences data,we reconstructed the global transmission patterns of 4 most common subtypes of influenza A virus(H1N1,H3N2,H5N1,and H7N9)and analyzed associations of transmission velocity of these influenza viruses with environmental factors.We found that the transmission patterns of influenza viruses and their associations with environmental factors were closely related to their host properties.H1N1 and H3N2,which are mainly held by humans,are transmitted between regions at high velocity and over long distances,which may be due to human transportation via airplane;while H5N1 and H7N9,which are mainly carried by animals,are transmitted locally at short distances and at low velocity,which may be facilitated by poultry transportation via railways or high ways.H1N1 and H3N2 spread faster in cold seasons,while H5N1 spread faster in both cold and warm seasons,and H7N9 spread faster in wet seasons.H1N1,H3N2,and H5N1 spread faster in places with both high and low human densities.Our study provided novel insights into the global transmission patterns,processes,and management strategies for influenza under accelerated global change. 展开更多
关键词 H1N1 H3N2 H5N1 H7N9 INFLUENZA transmission pattern
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表面等离子体无掩膜干涉光刻系统的数值分析(英文) 被引量:5
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作者 董启明 郭小伟 《光子学报》 EI CAS CSCD 北大核心 2012年第5期558-564,共7页
表面等离子体激元具有近场增强效应,可以代替光子作为曝光源形成纳米级特征尺寸的图像.本文数值分析了棱镜辅助表面等离子体干涉系统的参量空间,并给出了计算原理和方法.结果表明,适当地选择高折射率棱镜、低银层厚度、入射波长和光刻... 表面等离子体激元具有近场增强效应,可以代替光子作为曝光源形成纳米级特征尺寸的图像.本文数值分析了棱镜辅助表面等离子体干涉系统的参量空间,并给出了计算原理和方法.结果表明,适当地选择高折射率棱镜、低银层厚度、入射波长和光刻胶折射率,可以获得高曝光度、高对比度的干涉图像.入射波长为431nm时,选择40nm厚的银层,曝光深度可达200nm,条纹周期为110nm.数值分析结果为实验的安排提供了理论支持. 展开更多
关键词 干涉光刻 表面等离子体激元 克莱舒曼结构
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中国政治经济学年度发展报告(2017) 被引量:4
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《政治经济学评论》 CSSCI 北大核心 2018年第3期3-102,共100页
为了进一步促进中国政治经济学的发展与创新,推动对重大现实经济问题的研究,更好地为中国的改革与发展服务,从2010年起,我们开始发布中国政治经济学年度发展报告。报告主要以专题形式汇集和反映该年度中国政治经济学研究的新成果和新进... 为了进一步促进中国政治经济学的发展与创新,推动对重大现实经济问题的研究,更好地为中国的改革与发展服务,从2010年起,我们开始发布中国政治经济学年度发展报告。报告主要以专题形式汇集和反映该年度中国政治经济学研究的新成果和新进展,并探讨中国政治经济学发展中存在的问题和发展的方向。报告并不追求面面俱到,而是力求突出主线和重点,希望能够刻画出报告期内中国政治经济学研究与发展的主要特点和轨迹,从而为我国政治经济学的研究与发展提供借鉴与参考。2017年的年度报告设立了以下主题:1.关于中国特色社会主义经济制度的研究2.关于全面建成小康社会和脱贫攻坚的政治经济学研究3.关于生态环境问题和建设美丽中国的政治经济学研究4.关于金融与实体经济关系的政治经济学研究5.关于空间、城市和住房问题的政治经济学研究6.关于经济全球化和推进全面开放新格局的政治经济学研究7.关于新技术革命的政治经济学研究8.关于政治经济学基本理论的研究9.关于当代资本主义的研究10. 展开更多
关键词 中国政治经济学 发展报告 政治经济学研究 学年 全面建成小康社会 社会主义经济制度 研究与发展 现实经济问题
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