一流本科数学课程双万计划建设的多级模糊综合评判模型及应用研究

基于当前高校办学定位和人才培养目标定位,建设适应创新型、复合型、应用型人才培养的需要,许多高校正进行双一流本科课程建设。模糊综合评判法,作为一种模糊数学评价方法,被用于各个领域,取得了很好的效果。本文将这种方法用于分析当前高校一流本科数学课程双万计划建设,并以华东交通大学信息与数学专业课程为例,得到了一些评判结果。实例分析表明该方法具有可行性与有效性。     

乘积图的Fractional控制

Let G =(V,E) be a simple graph.For any real function g :V-→ R and a subset S V,we write g(S) =∑v∈Sg(v).A function f :V-→ [0,1] is said to be a fractional dominating function(F DF) of G if f(N [v]) ≥ 1 holds for every vertex v ∈ V(G).The fractional domination number γf(G) of G is defined as γf(G) = min{f(V)|f is an F DF of G }.The fractional total dominating function f is defined just as the fractional dominating function,the difference being that f(N(v)) ≥ 1 instead of f(N [v]) ≥ 1.The fractional total domination number γ0f(G) of G is analogous.In this note we give the exact values ofγf(Cm × Pn) and γ0f(Cm × Pn) for all integers m ≥ 3 and n ≥ 2.     

高能同步辐射光源验证装置振动线准直系统结构设计

振动线准直技术是为了满足新一代同步辐射光源对超低发射度的要求而正在研究的准直技术。新光源要求磁铁具有极高的准直精度,同一支架上的磁铁间准直精度要求小于±30μm。介绍了高能同步辐射光源验证装置振动线准直系统的设计,描述了振动线准直系统的具体机械结构方案、电路结构方案和运动控制与数据采集方案等。     

高能光源束流位置探测器支撑架结构优化设计

从热稳定性和振动稳定性两个角度出发,优化设计得到了超高稳定的刚性支撑架结构;通过ANSYS有限元模态分析,验证了结构的热膨胀变化量和特征频率;采用混凝土二次灌浆方法对支撑架进行地面固定和特征频率测试,结果表明,支撑架结构的特征频率达到61.9 Hz、振动幅值小于30 nm,均满足设计要求。最后采用动态刚度测试方法,得到混凝土二次灌浆层的主要刚度值,进一步验证支撑架结构优化结果的准确性。     

Analysis and experimental concepts of the vibrating wire alignment technique

The vibrating wire alignment technique is a method which, by measuring the spatial distribution of a magnetic field, can achieve very high alignment accuracy. The vibrating wire alignment technique can be applied to fiducializing magnets and the alignment of accelerator straight section components, and it is a necessary supplement to conventional alignment methods. This article gives a systematic summary of the vibrating wire alignment technique, including vibrating wire model analysis, system frequency calculation, wire sag calculation, and the relation between wire amplitude and magnetic induction intensity. On the basis of this analysis, this article outlines two existing alignment methods, one based on magnetic field measurement and the other on amplitude and phase measurements. Finally, some basic experimental issues are discussed.     

弱左型B半群的半格分解

弱型B半群是半富足半群范围的一类广义逆半群,而幂等元法是研究此类半群的重要方法。作为推广,本文首先通过幂等元法介绍了弱型B一元半群的定义,并给出了此类一元半群的基本性质,特别地,利用上述一元半群的基本性质,得到了任意一元半群为弱左型B半群的等价条件。最后,文章给出了弱左型B半群的半格分解,得到了一些结果。     

关于图的减控制与符号控制

给定一个图G=(V,E),一个函数f:V→{-1,0,1}被称为G的减控制函数,如果对任意v∈V(G)均有∑_μ∈N[v]f(μ)≥1。G的减控制数定义为γ^-(G)=min{∑_v∈Vf(v)|f是G的减控制函数}。图G的符号控制函数的正如减控制函数,差别是广{-1,0,1}换成{-1,1}。符号控制数γ_s(G)是类似的。本文获得γ^-G)和γ_s(G)的一些下界。同时也证明并推广了 Jean Dunbar等提出的一个猜想,即对任意 n阶 2部图 G,均有γ^-(G)≥ 4(n+1^1/2-1)-n成立。     

Wrinkle analysis and mounting optimization of the primary stripper foil for CSNS

The primary stripper foil's lifetime is very important for high intensity proton accelerators. Besides high temperature, the wrinkle of the stripper foil is also harmful for the lifetime and the injection efficiency. However, the recent wrinkle simulation is still not perfect. In this paper, a new method for wrinkle analysis has been proposed for the first time, which is integrated with the buckling theory. Based on this method, the wrinkle vibration and the maximum wrinkle shape of the normally mounted foil have been simulated. Then, two mounting schemes for reducing the wrinkle have been contrasted. Finally, the foil mounting structure for CSNS has been designed.     

食管癌患者肿瘤组织中硒含量的调查测定

应用2，3-二氨基萘荧光测定法对36例食管癌患者癌组织与癌旁组织及血清中硒的含量进行了测定。结果表明，癌组织中硒含量平均为1．325±0．81μg／g干重，癌旁组织为0．893±0．68μg／g干重，两者差异显著（P＜0．05）；血清中硒含量为0.6033±0．0520μmol／L，对照组20例献血员血清为0．8034±0．0650μmol／L，亦有显著性差异（P＜0．05）。提示硒在抗肿瘤的过程中有一定作用。     

星和完全等二部图联图的点可区别均匀边染色

研究了星与完全等二部图的联图Sm∨Kn,n的点可区别均匀边染色。