K2,4× Pn 的交叉数

该文确定了完全二部图 $K_{2,4}$ 与路 $P_n$ 的笛卡儿积图的交叉数.     

Generating Majorana modes in one-dimensional p-wave superconductor with second-neighbor couplings by periodic kicking

Generating many Majorana modes (MMs) within one single system is a constructive method for experimental observation of MMs in condensed-matter systems. In this paper, we show that by adding periodic δ-function kicks on the chemical potential, a large number of MMs can be generated in the one-dimensional p-wave superconductor system with second-neighbor couplings. The Floquet theory has been used to analyze the stroboscopic properties and the winding number can be used to characterize the topological properties. We have analyzed the influence of the kicking parameters and second-neighbor couplings on the topological phase transitions.     

圆环面上测地线的稳定性

通过讨论圆环面上的测地线,研究在纤维缠绕时测地线的稳定性问题,按传统观点,测地线在曲面上是最稳定的,其意为一条弹性柔软的细线,在给定曲面上拉紧时,其形状应是测地线,且不会使曲线变形,上述提法仅在局部领域中成立,从整体角度分析,当拉紧弹性柔软细线时,将有两类不稳定测地线,第一类不稳定产生于过两点可以有多条测地线,另一类是缠绕的测地线位于曲面的凹侧,此时就会产生搭桥现象,这两类不稳定性在纤维缠绕中有着现实的意义,文章将对圆环面的测地线进行具体讨论。     

基于线性规划的高温超导磁体线圈设计方法

电子真空回旋器件是一种对磁场精度要求较高的微波源装置,一般采用超导磁体提供磁场环境.超导磁体的应用中,磁场分布的实现是超导磁体设计的核心问题.提供回旋器件磁场的高温超导磁体包含较复杂的磁体绕组,为了解决此类设计计算问题,本文提出了一种包含设计区域约束的线性优化方法进行回旋器件高温超导绕组的设计优化,通过分步的约束和线性优化计算,可得到同时满足设计要求和绕组可实现的设计磁场电流分布设计.计算实例的结果给出了一个提供磁场强度1.3 Tesla,长度285 mm的均匀磁场区域,同时满足多位置的磁场要求,设计结果与要求一致度较好,精度满足应用需求.该计算方法是一种可适用于较复杂磁场要求和超导绕组结构的设计优化方法.     

A linear time algorithm to remove winding of a simple polygon

In this paper, we present a linear time algorithm to remove winding of a simple polygon P with respect to a given point q inside P. The algorithm removes winding by locating a subset of Jordan sequence that is in the proper order and uses only one stack.     

THE RAMSEY NUMBERS FOR STARS AND STRIPES

Let Σ=Σ_{i=1}^{t}(n_i-1) and Λ=Σ_{j=1}^s(m_j-1). This paper considers the generalized Ramsey number R(K_{1,n_1},…, K_{1,n_t},m_1K_2,…, m_sK_2) for any Σ and Λ. And the authors get their exact values if 1<=Λ<=Σ and their upper bounds if Λ>= Σ     

ON THE CROSSING NUMBER OF THE COMPLETE TRIPARTITE GRAPH K1,8,n

The well known Zarankiewicz' conjecture is said that the crossing number of the complete bipartite graph K_m,n (m≤ n) is Z(m,n), where Z(m,n)=\lfloor\frac{m}{2}\rfloor\lfloor\frac{m-1}{2}\rfloor\lfloor\frac{n}{2}\rfloor$\lfloor\frac{n-1}{2}\rfloor$ (for any real number x, $\lfloor x\rfloor$ denotes the maximal integer no more than x). Presently, Zarankiewicz' conjecture is proved true only for the case m≤ 6. In this article, the authors prove that if Zarankiewicz' conjecture holds for m≤9, then the crossing number of the complete tripartite graph K_1,8,n is $Z(9, n)+ 12\lfloor\frac{n}{2}\rfloor$.     

Vibration characteristics of a disk-type winding simulated by coupled concentric rings

Mechanical faults in the winding are often related to the changes in the vibro-acoustical response of the transformers with respect to the electromagnetic force in winding. Understanding of the effects of the faults on the vibration characteristics of transformer windings is useful when diagnosing winding faults using transformer’s vibration signature, and when predicting the environmental noise emission from transformers. In this paper, mechanical faults, such as failure of interlayer insulation pressboards and local winding deformations, of the disk-type windings in a 110-kV power transformer, and their effects on the vibration responses of the windings are presented. The disk-type windings are also experimentally modeled by a stack of coupled concentric rings with well-defined faults. A good qualitative agreement is found between measured responses of the power transformer and of the stack of coupled concentric rings. The dependence of the response of the stack on increasing degree of faults provides useful details for understanding the cumulative effect of the faults on the winding’s vibration characteristics. Methods for identifying the location and severity of the faults based on the measured vibration responses are also outlined.     

Permanence of two species and fixed point index

We present sufficient and necessary conditions for the permanence of discrete systems in the plane based on an index of fixed points on convex sets. In concrete models, a simple picture is sufficient to deduce whether our system is permanent or not.     

基于听觉谱特征的变压器绕组状态检测研究

绕组松动是变压器常见故障之一,对变压器的安全运行产生巨大威胁.故对其进行精准的监测,对提高电力系统的安全稳定性具有十分重要的意义.基于声信号的变压器绕组松动检测,由于其具有无损检测和不需停运变压器等优点,成为近年来研究的热点.但声信号检测存在故障特征提前复杂和易受噪声干扰等缺陷,限制了其工程应用.该文提出了一种基于声信...