强连通竞赛图的圈分解

设T为n阶强连通竞赛图．本文通过详细刻画不能进行圈分解的强连通竞赛图的特征，证明了满足max{^ ，δ^-}≥5k-5和k≥2的强连通竞赛图T,能够分解为k个圈．     

两类Mycielski图及一些平面图的均匀全色数

对于图G(V,E)的正常k-全染色φ称为G(V,E)的k-均匀全染色,当且仅当任意两个色类中的元素总数至多相差1.xvee(G)=m in{k存在图G的一个k-均匀全染色}称为G的均匀全色数.本文得到了两类M ycielsk i图及圈,轮图和扇形的均匀全色数.     

Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System

We study the eigenstate problem of a kind of coupled oscillators in the new quantum mechanical representation ｜q,μ,υ〉, which is defined as the eigenvector of the operator （μQ ＋ υP）, whereμ and υ are two real parameters. We also use the U operator transformation method to deal with the same problem. We obtain the normally ordered product expressions of U operator and eigenvector. It is shown that the ground state of system Hamiltonian is a squeezed state.     

Screw Instability in Black Hole Magnetosphere and kHz QPOs in X-Ray Binaries

Screw instability of the magnetic field connecting a rotating black hole (BH) with its surrounding disc is discussed in coexistence with the Blandford-Znajek (BZ) process and the magnetic coupling (MC) process. A scenario for kilohertz quasi-periodic oscillations (kHz QPOs) in x-ray binaries is proposed by introducing inductance components in the equivalent circuit for BH magnetosphere. It turns out that the period related to the screw instability is consistent with the observations of kHz QPO x-ray binaries.     

Possible Experimental Evidence of a Moderate Proton Halo in ^29S

The total reaction cross sections (TRCSs) of^29S ^28Si have been measured at intermediate energies. An obvious enhancement in TRCS of ^29S is observed as compared with its neighbouring nuclei. The TRCSs of ^29S ^28Si arecal culated with the modified Glauber theory in the optical limit and few-body approaches. The different factor d as a possible measure of halo appearance is deduced from the experimental and theoretical data. It is well accepted that ^27p is a proton halo nucleus. Although not as anomalous as ^27p, the different factor d of ^29S is obviously larger than that of its neighbouring isotones of N = 13. This result indicates that a moderate proton halo may exist in ~9S nucleus. We calculate the total reaction cross sections for ~9S with the modified Glaubertheory as a function of incident energy and compare the results with those for 2rSi which is a core nucleus 0f29S.The measured TRCSs of 27Si4-2SSi can be described to be satisfactory by the modified Glauber theory of theoptical limit approach. Although a diffused nuclear density distribution is used, the theories still inadequatelypredict the experimental TRCSs of 29S4-2SSi, which further indicates the possibility of proton halo in 29S.     

一类3—连通图的周长

设G=(V,E)是一个n阶无向简单图,本文证明了:设G是一个3-连通图,若G的每一个最长圈是控制圈,则G的周长c(G)≥min{n,2NC_2}或G同构于Petersen图,其中NC_2={|N(u)∪N(v)||u,v∈V(G),d(u,v)=2}。     

HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH POTENTIALS CHANGING SIGN

In this paper, we prove the existence of nontrivial homoclinic orbits for a class of Hamiltonian systems with potential changing sign. We use Mountain Pass Lemma.     

对数比电路原理与低频工作点反馈系统

 在合肥光源注入系统升级改造后，尝试了几种方法来改进机器注入束流稳定性。研制了用于抑制注入过程残余β振荡的水平和垂直方向的工作点振荡抑制模块，尝试了包括逐圈测量和锁相环原理来激励和稳定束流等方法来跟踪工作点变化。详细分析了基于对数比原理的逐圈测量系统，包括单束团和多束团模式，证明在多束团模式下逐圈测量的可行性和意义，更新了数据采集和可远程控制的软件集成环境。     

含偶长圈的7点7边图的图设计

设λKν是ν阶λ重完全图，G是一个无孤立点的有限简单图,λKν的一个G-分拆(或G-设计，记为G-GDλ(ν))是指一个序偶(X，β)，其中X是完全图Kν的顶点集，β是Kν中同构于G的子图(称为区组)的族，使得Kν中每条边恰好出现在β的λ个区组中，本文完全解决了含偶长圈的十个7点7边图的图设计存在性问题。     

改进的交流跳圈演示实验的定量分析

交流跳圈演示实验是电磁学教学中常做的演示实验，传统的交流跳圈演示实验对楞次定律和法拉第电磁感应定律能给出很好的演示说明．我们对交流跳圈演示实验做了如图1所示的改进，原线圈(1600匝)套在L形的铁轭上；漆包线绕制成的动圈与外电路连接，并用细棉线悬挂起来．通过动圈的受力情况，能进一步演示说明交流电的三种电路特性．文献[1]对此仅作定性分析，在此我们再给予定量分析．