Self-Organization of Weighted Networks in Connection with the Misanthrope Process

Prom an undirected random graph, by the weight redistribution of the edges, we obtain a weighted network. The weight redistribution of the edges can be connected to the well-known Misanthrope process, in which distinguishable particles hop among different urns. Under specific conditions, the condensation phenomena can be observed, i.e., nearly all the edges connect to one vertex in the network. When there is no condensation, by adjusting the parameters, the strength distribution can be scale-free or exponentially decreasing. The numerical results fit well with the analytical ones.     

螺栓连接结构的爆炸冲击破坏

为了建立真实可信的螺栓连接破坏模型,利用瞬态分析软件LS-DYNA分析了螺栓连接部件在爆 炸冲击下的破坏情况,提出了简化破坏模型的建立方法。建立了M24螺栓连接3维有限元模型,使用部分降 温法进行了螺栓预应力的加载,然后结合弹塑性材料本构模型和面-面接触算法计算了在不同爆炸冲击情况 下有、无预应力螺栓和螺栓-螺母连接的变形破坏情况。根据计算结果总结了冲击波入射角度和预紧力大小 对螺栓连接破坏的影响规律,并建立了螺栓连接结构的简化破坏模型。最后提出了提高螺栓连接抗冲击能力 的一些措施,为设备整体抗冲击计算模型的建立及抗冲击设计提供参考。     

日本沼虾(Macrobrachium nipponense)触角腺的超微结构

利用透射电镜对日本沼虾触角腺的体腔囊、迷路、原肾管和膀胱的超微结构进行了研究．体腔囊由足细胞和内皮细胞组成，其中足细胞的三级足状突起分支细而多，并密布于裂隙膜上，足细胞及其足状突起之间可见隔壁连接，内皮细胞与开放式血腔相临、沿基底膜有许多窗孔．迷路细胞游离端具长而发达的微绒毛，基底及两侧质膜内陷发达，并具丰富的长杆状线粒体．原肾管细胞的微绒毛短少而零乱，基底及两侧质膜内陷更为发达，原肾管细胞之间存在有中间连接和隔壁连接．研究结果证实：日本沼虾触角腺的体腔囊、迷路和原肾管的超微结构与哺乳动物肾单位的肾小球、近曲小管和远曲小管的超微结构相似，具有肾单位一样的生理功能，而膀胱扁平细胞还兼有肾脏收集管的功能．     

巧解一道几何题

题目如图1,在△ABC中,∠ACB=90°,∠ABC=30°,点D在AB上（不含端点）,点E在CA的延长线上,使得CE+2BD=3^1/2CB,连接CD,BE.证明:CD=12BE.这是《数学通报》2011年第7期数学问题解答的第2011题,原文给出的解答过程比较复杂,引入并证明了引理下面给出一种非常     

Strong connections and invertible weak entwining structures

In this paper we obtain a criterion under which the bijectivity of the canonical morphism of a weak Galois extension associated to a weak invertible entwining structure is equivalent to the existence of a strong connection form. Also we obtain an explicit formula for a strong connection under equivariant projective conditions or under coseparability conditions.     

用能量法简捷推导可动悬点单摆的谐运动周期

"可动悬点的单摆"是指如下体系:如图1,质量为M的小圆环套在光滑的固定水平杆上,通过一长度为L的轻杆将质量为m的小球与圆环连接,圆环、小球均视为质点.证明此体系在小角度下的运动是谐运动,并求出谐运动的周期.     

Natural Connectivity of Complex Networks

The concept of natural connectivity is reported as a robustness measure of complex networks. The natural connectivity has a clear physical meaning and a simple mathematical formulation. It is shown that the natural connectivity can be derived mathematically from the graph spectrum as an average eigenvalue and that it changes strictly monotonically with the addition or deletion of edges. By comparing the natural connectivity with other typical robustness measures within a scenario of edge elimination, it is demonstrated that the naturM connectivity has an acute discrimination which agrees with our intuition.     

高温超导体中的交流损耗

考虑到陶瓷高温超导体的颗粒物性 ,详细研究了 Bean- london模型及 Anderson- kim模型在分析高温超导体交流损耗方面的缺陷 ,提出了一种新的计算方法。用这种方法预期的损耗规律与文献报道的实验结果一致。另外 ,分析了超导体尺寸、晶间临界电流、晶粒尺寸和晶内临界电流对高温超导体交流损耗的影响     

Total Chromatic Number of the Join of K_(m,n) and C_n

The total chromatic number XT(G) of a graph G is the minimum number of colors needed to color the elements (vertices and edges) of G such that no adjacent or incident pair of elements receive the same color. G is called Type 1 if XT(G)=Δ(G) 1. In this paper we prove that the join of a complete bipartite graph Km,n and a cycle Cn is of Type 1.