共查询到17条相似文献，搜索用时 625 毫秒
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吴英毅 《中国科学院研究生院学报》2009,26(2):185-193
HCMU度量是一种在Riemann面上带奇点的extremal度量. 它可以被一个亚纯1-形式所刻划. 文章给出这个亚纯1-形式的一些重要性质. 作为应用,将证明一个HCMU度量的高斯曲率光滑的充要条件. 相似文献
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本文研究紧致连通定向光滑n（n≥3）维流形M^n上一类由黎曼曲率张量、Ricci曲率张量的L^2模和数量曲率的平方的细合殁关于度量g的体积元的合适幂法化后定义的黎曼泛函F的临界度量，采用活动标架法得到泛函F的Euler-Lagrange方程，以及任意Einstein度量是泛函F的临界度量的一些充分条件． 相似文献
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模糊分析学是模糊数学的一个分支,半线性度量空间是模糊数空间的推广,在其上建立了半线性度量空间的微积分理论,给出了在半线性度量空间上的Riemann积分定义,建立了可积性定理,得到了积分的各种性质,并证明了类似于普通微积分学中的Newton-Leibniz公式和分部积分法. 相似文献
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肋环形球面网壳、施威德勒型球面网壳、联方型球面网壳、凯威特型球面网壳、短程线球面网壳等是目前大跨度空间穹顶网格结构的常用结构形式。球壳的结构拓扑不同,故结构的受力特点也不相同。而它们在形态上的共同特征是圆球面,曲面上任何一点的曲率相等且为正高斯曲率,球面上任何一个节点均满足方程：x2＋y2＋z2=r2。这些经典的球面穹顶网格结构形式经过了国内外近百年数以万计大大小小的工程实践,证明这些结构形式是可靠的、合理的。然而,无论是哪一种类型的球面网壳,从建筑外部形态上看,它们都无法摆脱圆球面特征。本文在总结了传统的穹顶结构特点的基础上,提出并用CAD技术建构了一种新型的空间网格穹顶结构———瓣形穹顶,同样是圆形平面,瓣形穹顶却可变化出各种造型极为丰富的空间形态。文章对瓣形穹顶的几何特征、建筑形态与构成、结构的受力特点和结构布置方案作了系统的研究,这种穹顶结构既可以用于中小跨度结构,也可应用于大跨度的空间穹顶结构。 相似文献
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利用调和序列研究超二次曲面Q3中的共形极小二维球面,得到四类线性满的常曲率的极小二维球面.尽管它们在CP4中都是极小的,但是它们的几何并不相同. 相似文献
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通过李群、活动标架,以及调和映射来研究从S2到CPn的共形极小浸入．首先,用一种新方法证明Bolton的一个定理,从S2到的全纯曲线在差一个刚动的情况下由度量唯一决定;其次,利用从 S2到CPn的共形极小浸入来构造从S2到G2,n+1的共形极小浸入;最后,如果φ 是从S2到CPn 的全实共形极小浸入,且φ 是常曲率的,则可以找出具体的等距变换ｇ,使得ｇφ 包含在RPnCPn中． 相似文献
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奇异积分在基础理论、天体物理以及工程上具有重要作用,如何求解奇点在区域内的奇异积分也因此具有重要意义。本文中介绍了广义的奇点定义,和数形结合理解曲线奇点、曲面奇点,并给出二者的定义。最后我们通过使用区域分割法,划分奇点处区域,使用Green公式来求解奇点在区域内的二维高整数阶奇异积分的解析解,并延伸到n维高整数阶奇异积分的解析解。 相似文献
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运用调和序列和活动标架研究复格拉斯曼流形G(2,5)中的调和2-球面.通过S2上全纯微分形式的构造,简化G(2,5)中沿调和2-球面的活动标架,并且给出高斯曲率的上界估计. 相似文献
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The calculation of critical buckling loads of planar curved bars, subjected to a general co-planar continuous external load (or a general co-planar terminal loading), leads to the solution of transcendental (nonlinear) equations. In this investigation a new method for the closed-form solution of such types of equations is presented. In particular, the transcendental equation u tan γ cot uγ = 1, corresponding to the buckling problem of a cantilever circular bar of high curvature loaded by two co-planar forces acting along its chord, is solved in a closed-form. Finally, several numerical results are presented, based on the Gauss integration rule. 相似文献
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Li Zhang Lei Cao Xing-Su Gao Bin-Yang Zheng Yong-Qiang Deng Jing-Xin Li Rui Feng Qian Bian Xi-Ling Guo Nan Wang Hong-Ying Qiu Lei Wang Zhen Cui Qing Ye Geng Chen Kui-Kui Lu Yin Chen Yu-Tao Chen Hong-Xing Pan Jiaping Yu Wenrong Yao Bao-Li Zhu Jianping Chen Yong Liu Cheng-Feng Qin Xiangxi Wang Feng-Cai Zhu 《国家科学评论(英文版)》2021,8(8)
Mutations and transient conformational movements of the receptor binding domain (RBD) that make neutralizing epitopes momentarily unavailable present immune escape routes for severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). To mitigate viral escape, we developed a cocktail of neutralizing antibodies (NAbs) targeting epitopes located on different domains of spike (S) protein. Screening of a library of monoclonal antibodies generated from peripheral blood mononuclear cells of COVID-19 convalescent patients yielded potent NAbs, targeting the N-terminal domain (NTD) and RBD domain of S, effective at nM concentrations. Remarkably, a combination of RBD-targeting NAbs and NTD-binding NAbs, FC05, enhanced the neutralization potency in cell-based assays and an animal model. Results of competitive surface plasmon resonance assays and cryo-electron microscopy (cryo-EM) structures of antigen-binding fragments bound to S unveil determinants of immunogenicity. Combinations of immunogens, identified in the NTD and RBD of S, when immunized in rabbits and macaques, elicited potent protective immune responses against SARS-CoV-2. More importantly, two immunizations of this combination of NTD and RBD immunogens provided complete protection in macaques against a SARS-CoV-2 challenge, without observable antibody-dependent enhancement of infection. These results provide a proof of concept for neutralization-based immunogen design targeting SARS-CoV-2 NTD and RBD. 相似文献
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Charles S. Peskin 《Journal of The Franklin Institute》1974,297(5):335-343
Heart valves when closed consist of membranes under tension bearing a pressure load. Along the lines where the leaflets meet, special support structures under tension are needed (a fibrous ridge for the arterial valves and a network of cords for the atrioventricular valves). The equilibrium of these supports requires that the valve leaflets form cusps along each line of closure. In the aortic and pulmonary valves there is evidence that the stress in the leaflet is borne by a single family of load-bearing fibers covering the surface. Under this hypothesis, we derive a differential equation for the leaflet and show that the fibers are geodetic lines under constant tension. During the large motions of valve opening and closure certain constraints are imposed on the surface metric by the presence of (almost) inextensible fibers in the surface. The severity of the constraints depends on the number of independent families of fibers. 相似文献
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设计暴雨雨型对水文模式分析与暴雨排水设计是不可或缺的基本要素。暴雨雨型模式有许多种,该研究采用具尺度不变性之高斯马尔柯夫雨型模式,该暴雨雨型模式视每一场降雨事件为一随机历程,考虑每个时刻之序列符合常态分布,以一阶高斯马尔柯夫历程叙述临前水文条件的遗传效应,该雨型亦为具有最大似然度之设计暴雨雨型。但限于雨量测站为点的分布,因此必须将雨型设计结果分类及区域化,并求得区域代表雨型,如此方能为未设站区域使用,亦能合理的应用于降雨径流模式中。而层级分析法正是用来协助决策者找出最佳策略方案的工具,透过可行方案及相关评估因素的拟定,层级分析法之决策分析模式可计算每个替代方案的权重并建议决策者找出最具代表性的策略选择。本研究针对台湾北部地区提出一个新的方法来评估并建立区域代表雨型,首先建立各测站具尺度不变性之高斯马尔柯夫雨型,其次利用主成份分析法萃取出雨型中的5个重要的控制因素,再就这些因素以聚类分析法将研究区域内之设计暴雨雨型分为3个均匀群集,但同一群集内之雨型并非唯一,故研究中最后利用层级分析法进行评估,选取并建立出区域代表雨型。 相似文献
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In collaborative filtering recommender systems recommendations can be made to groups of users. There are four basic stages in the collaborative filtering algorithms where the group’s users’ data can be aggregated to the data of the group of users: similarity metric, establishing the neighborhood, prediction phase, determination of recommended items. In this paper we perform aggregation experiments in each of the four stages and two fundamental conclusions are reached: (1) the system accuracy does not vary significantly according to the stage where the aggregation is performed, (2) the system performance improves notably when the aggregation is performed in an earlier stage of the collaborative filtering process. This paper provides a group recommendation similarity metric and demonstrates the convenience of tackling the aggregation of the group’s users in the actual similarity metric of the collaborative filtering process. 相似文献
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利用调和序列和活动标架研究了复格拉斯曼流形G(2,5)中线性满的全纯2球.利用SU(2)的不可约酉表示构造了G(2,5)中的一些齐性全纯2球.在U(5)等价意义下确定常高斯曲率为2/3和4/3的所有线性满的退化全纯2球.最后证明在某一特定条件下常高斯曲率为4/3的非退化的全纯2球一定是U(5)等价的. 相似文献