平衡二部图的四圈覆盖

对任意的正整数ｋ,如果每部２ｋ个点的平衡二部图Ｇ＝（ｖ１,ｖ２;Ｅ）的最小度大于等于４ｋ／３,那么Ｇ恰好被ｋ个相互独立的四圈覆盖。     

3-连通、高次和坚韧图周长的估计(I)

设G是一个n阶3-连通图,周长为C(G),独立数为α,若G是1-坚韧的,且σ     

引力子三顶点与引力自能的曲率激发

基于微扰展开,计算了联络场三点Green函数及单圈引力子自能对量子Wilson圈的贡献.结果表明,引力子三顶点及引力自能将使Einstein引力获得定域曲率的激发.     

既不含4-圈又不含6-圈的平面图的非正常染色

设d₁, d₂,..., d_k是k个非负整数. 若图G=(V,E)的顶点集V能被剖分成k个子集V₁, V₂,...,V_k, 使得对任意的i=1, 2,..., k, V_i的点导出子图G[V_i] 的最大度至多为d_i, 则称图G是(d₁, d₂,...,d_k)-可染的. 本文证明既不含4-圈又不含6-圈的平面图是(3, 0, 0)-和(1, 1, 0)-可染的.     

双平面多圈注入模拟优化程序TPIS的初步开发与验证

为满足短时间内达到高累积流强要求,HIAF/BRing采用了一种新的注入方法--双平面相空间多圈注入。该注入方法与传统单平面多圈注入方法不同,而且在国际上是首次在实际项目中采用,尚无实际运行经验。因此,对注入过程进行程序模拟研究是验证双平面多圈注入方案可行性的必要手段。为详细模拟研究BRing双平面多圈注入过程,并克服已有程序跟踪速度较慢且注入参数修改不便的缺点,本文根据双平面多圈注入的特点,建立了双平面多圈注入模型,编写了双平面多圈注入模拟优化程序TPIS（Two-Planemultiturn Injection Simulation）。通过与ORBIT程序模拟结果对比,验证了TPIS程序模拟双平面多圈注入过程的正确性。在此基础上,在TPIS程序中加入了粒子群优化算法,并对BRing注入参数进行了优化。结果表明,TPIS程序可以对注入参数进行有效优化,经过优化后,束流损失减少了28%,最终剩余累积粒子数满足BRing的流强设计指标要求,进一步验证了双平面多圈注入设计的可行性。     

300MeV质子同步加速器概念设计优化（英文）

目前处于设计阶段的哈尔滨工业大学空间辐照效应装置,其核心部件是由1台10 MeV的注入器、1台300MeV的同步加速器以及输运线构成的加速器装置。同步加速器中引出的质子束流被用于辐照研究。基于装置的概念设计,优化了其同步加速器部分的设计。设计了新的磁聚焦结构,优化了基于新的磁聚焦结构的多圈注入系统的凸轨变化模式,提高了注入效率。为了更好地优化引出束流的时间结构,慢引出系统采用了RF knock-out的方法。为了满足精准辐照的要求,研究了RF Kicker的频率调制,发现RF Kicker的双频调制能使得引出束流更均匀。A research complex for aerospace radiation effects research is in the designing stage in Harbin Institute of Technology. Its core part is a proton accelerator complex, which consists of a 10 MeV injector, a 300 MeV synchrotron and beam transport lines. The proton beam extracted from the synchrotron is utilized for the radiation effects research. Based on the conceptual design, the design study for optimizing the synchrotron has been done. A new lattice design was worked out, and the decreasing pattern of the bump of the multi-turn injection system was optimized to increase the injection efficiency. In order to improve the time structure of the extracted beam, a RF knock-out method is employed in the slow extraction system. To meet the requirement of accurate control of dose, the frequency modulation of the RF kicker is well investigated, and the dual frequency modulation has been found to have a better performance for a uniform spill.     

二分图中关于Enomoto问题的结果

设k,n1和n2是3个正整数,G=（V1,V2;E）是一个二分图,使得｜V1｜=n1,｜V2｜=n2,其中n1≥2k＋1,n2≥2k＋1并且n1-n2≤1．如果对任意不相邻的x∈V1和y∈V2,都有d（x）＋d（y）≥2k＋2,则G包含k个相互独立的圈．以上结果部分地回答了Enomoto提出的关于二分图有独立圈的问题．     

BOTDA光纤传感技术在光纤环圈质量评估中的应用

在分析光纤环对陀螺整体性能影响的基础上,提出将BOTDA光纤传感技术用于光纤环质量检测。通过对光纤环的在线检测、热应力检测和骨架性能影响测试,能及时发现并消除光纤绕制中的应力尖峰及换层现象,消除由骨架、热应力引起的光纤应力曲线反转现象。     

Evaporation-induced Morphology Pattern of Triblock Copolymer A5B10C5 in Thin Film： a Multibody DPD Simulation Study

We used multibody dissipative particle dynamics method,by which the attractive and repulsive interactions can be effectively considered,to investigate the evaporation-induced morphology patterns of triblock copolymer A5B10C5 in thin film.With changing attractive interactions between solvent vapor and triblock copolymer that represent various selective solvents,lamellar morphology,sandwich lamellar morphology,spherical morphology and disorder morphology patterns of the thin films were obtained for both coil-coil-coil and rod-coil-coil chain architectures,respectively.The order parameter and the film thickness were calculated during the process for characterizing the film properties,and it was found that the rigid A-block of the triblock copolymer hinders the formation of an ordered structure.     

完全图中的正常染色的路和圈

令$K_{n}^{c}$表示$n$ 个顶点的边染色完全图.
令 $\Delta^{mon}
(K_{n}^{c})$表示$K^c_{n}$的顶点上关联的同种颜色的边的最大数目.
如果$K_{n}^{c}$中的一个圈（路）上相邻的边染不同颜色,则称它为正常染色的.
B. Bollob\'{a}s和P. Erd\"{o}s (1976) 提出了如下猜想：若 $\Delta^{{mon}}
(K_{n}^{c})<\lfloor \frac{n}{2} \rfloor$, 则$K_{n}^{c}$中含有一个正常染
色的Hamilton圈. 这个猜想至今还未被证明.我们研究了上述条件下的正常染色的路和圈.