The connectivity and minimum degree of circuit graphs of matroids

Let G be the circuit graph of any connected matroid M with minimum degree 5（G）. It is proved that its connectivity κ（G） ≥2｜E（M） - B（M）｜ - 2. Therefore 5（G） ≥ 2｜E（M） - B（M）｜ - 2 and this bound is the best possible in some sense.     

两圆相切的一个有趣性质

<正>性质如图1,若圆O1与圆O2外切于点G.四边形ABCD内接于圆O1,AD、BC分别与圆O2切于点E、F.∠DCF的平分线CK交EF于点K,∠CDE的平分线DL交EF于点L,则(1)点L、K分别是△ADC、△BDC的旁心;(2)AL、BK的交点T在圆O1上,并且L、K、G、T四点共圆;(3)L、K、D、C四点共圆,并且AL、BK的交点T是四边形LKDC的外接圆的圆心.     

Quantum Spontaneous Magnetization in Single-Junction Superconducting π-Rings

Based upon the calculations of energy levels and quantum states, we discuss the probability of quantum spontaneous magnetization flux as a function of the screen parameter β for the superconducting ring containing one Josephson π-junction, and compare the result with that in the classical case. Our results indicate that there is significant difference in the magnetization behaviour aroundβ = 1 between the quantum and classical situations.     

以团簇加连接原子模型解析Cr-C共晶成分

Cr-C体系材料是重要硬质防护涂层的代表,具有共晶特征.我们的前期工作指出,共晶合金满足双团簇近程序结构模型,由两种稳定液体亚单元构成,各自满足理想非晶团簇成分式,这里的第一近邻团簇来自相关共晶相.显然共晶成分解析的关键在于获得团簇,而相结构中往往存在多种团簇,进入到非晶/共晶团簇成分式的主团簇定义是关键环节.本文通过应用Friedel振荡理论及原子密堆,以团簇分布的球周期性及孤立度为判据,以Cr-C共晶相为例,进一步细化了共晶相中的主团簇选择流程,再搭配以2,4或6个连接原子,获得了描述共晶成分Cr_(86)C_(14)和Cr_(67.4)C_(32.6)的双团簇成分式:[Cr-Cr_(14)+C-Cr_9]Cr C_3和[C-Cr_9+C-Cr_8]C_6,其中四种团簇分别来自共晶相Cr,Cr_(23)C_6,Cr_7C_3和Cr_3C_2.该工作进一步证实了团簇加连接原子模型在共晶点解析中的普适性,并从理论上支持了相关的材料设计.     

Fibre-Coupling Zig-Zag Beam Deflection Technology for Investigation of Attenuation Process of Laser-Induced Shock Waves

A novel fibre-coupling zig-zag beam deflection technology is developed to investigate the attenuation process of laser-induced shock waves in air. Utilizing ordinal reflections of probe beams by a pair of parallel mirrors, a zig-zag beam field is formed, which has eleven probe beams in the horizontal plane. When a laser-induced shock wave propagates through the testing field, it causes eleven deflection signals one after another. The whole attenuation process of the shock wave in air can be detected and illuminated clearly on one experimental curve.     

一种基于Sobel与K-means的边缘检测方法

传统边缘检测算子处理结果为边缘锐化的梯度图像,需人为确定阈值获取二值边缘图像,容易造成边缘信息丢失。应用增加了卷积模板的Sobel算子,使用K-means聚类算法基于梯度直方图自适应获取阈值,并分割梯度图像得到二值化边缘,最后对边缘细化与连接。通过使用最大类间方差法检验阈值与边缘检测结果对比分析,该方法自适应梯度阈值定位准确,所得边缘信息丰富度、定位精度、连续性均优于改进Sobel算子,与最佳阈值Canny算子检测结果基本相同,适用于机器视觉均匀稳定照明环境下获取图像的边缘检测。     

一种分布反射型大容量WDM星形单跳网

针对现有分布反射型WDM星形单跳网结构上存在的问题,本文提出了一种新的分布反射型WDM星形单跳网.这种WDM网络不仅抗毁性能好、可靠性高,而且网络容量大、组网灵活性强,可实现网络的在线扩容、升级,为未来大容量WDM局域网提供了一个理想的选择.文章首先论述了该分布反射型大容量WDM星形单跳网的结构,其次分析了网络中各个节点之间的通信,进而计算了网络所支持的最大节点数,最后对全文进行了总结.     

源于“团簇-共振”模型的理想金属玻璃电子化学势均衡

理想金属玻璃是指完全满足电子结构稳定性的金属玻璃. 在我们前期工作中提出的“团簇加连接原子"及理想金属玻璃的“团簇-共振"结构模型的 基础上, 本文指出理想金属玻璃应该满足电子化学势均衡判据, 可定量给出团簇与连接原子的比例, 最终确定了理想金属玻璃成分式[团簇](连接原子)_x. 运用此判据, 解析了Cu-Zr基和Co-B基块体金属玻璃, 实验确定的最佳形成能力成分满足电子化学势均衡.     

基于CDT和Self-trapping的8×8光交叉连接特性数值研究

采用相干隧穿破坏(CDT)理论和自囚禁(self-trapping)效应相结合的方法实现光信号的交叉连接功能.在标量场和傍轴近似下,进一步采用紧束缚近似,得到周期性调制光纤中光信号传播的耦合模方程组.只考虑相邻光纤耦合作用情况下,数值模拟全光交叉连接功能实现过程并获得各种变换所需条件.在器件输出端引入可调谐滤波器可实现光信号的广播发送、光路变换和上下路等功能,能推广到任意N×N光交叉连接设计中,有效地解决波分复用光网络中光信号时延和容量需求问题.     

Shapiro Steps in Flux-Trapped Surface Intrinsic Junctions of Bi2Sr2CaCu2O8＋δ

Microwave-field responses of the surface intrinsic Josephson junctions (IJJs) of Bi2Sr2CaCu2O8 δ superconductors are investigated. The IJJs are fabricated using an in situ low-temperature cleavage technique, which leads to the well-characterized surface CuO2 double layers and surface junctions. For the surface junctions in the largejunction limit, usually no Shapiro steps appear when a microwave field is applied. It is found that when the junctions are in a flux-trapped state, which is produced by a pulsed current and in which the critical current is significantly suppressed, clear Shapiro steps can be observed. These results are important for the study of the microwave-field properties of vortex-carrying IJJs and may find their use in device applications.