广义神经传播方程的整体吸引子

使用Galerkin方法,结合Sobolev空间理论和不等式技巧,给出了广义神经传播方程解的存在唯一性定理,然后利用吸引子存在性定理,采用半群方法证明了方程整体吸引子的存在性.     

Effect of cavitation bubble on the dispersion of magnetorheological polishing fluid under ultrasonic preparation

In the ultrasonic dispersion process, the ultrasonic cavitation effect can seriously affect the dispersion efficiency of magnetorheological polishing fluid (MRPF), but the mechanism remains unclear now. Through considering the continuity equation and Vand viscosity equation of the suspension, a revised cavitation bubble dynamic model in the MRPF was developed and calculated. The effects of presence or absence of solid particles, the volume fraction of solid particles, and viscosity on the cavitation bubble motion characteristics in the MRPF were discussed. Settlement experiments of the MRPF under ultrasonic and mechanical dispersion were observed. Analysis of particle dispersion is made by trinocular biomicroscope and image processing of the microscopic morphology of the MRPF. The results show that the high volume fraction of carbonyl iron particle (CIP) will significantly weaken the cavitation effect, and the low volume fraction of green silicon carbide (GSC) has a negligible effect on the cavitation effect in the MRPF. When the liquid viscosity is greater than or equal to 0.1 Pa·s, it is inconvenient to produce micro-jets in the MRPF. The sedimentation rate of the MRPF prepared by ultrasonic dispersion is lower than mechanical dispersion when the volume fraction of CIP is between 1% and 25%. The dispersion ratio under ultrasonic dispersion is lower than that under mechanical dispersion. The experimental results fit the simulation well. It offers a theoretical basis for exploring the ultrasonic cavitation effect in the industrial application of the MRPF.     

给定度序列图的覆盖成本和反向覆盖成本的研究

具有n个顶点且度序列为(m,2,…,2,1,…,1)(1的重数为m)的连通图不止一个(这些图均为树),而每个树对应唯一一个段序列(l₁,l₂,…,l_m).通过对任意一树移动最长段的悬挂点到最短段悬挂点的方式得到另一树,比较前后两树的覆盖成本和反向覆盖成本,给出了具有最小覆盖成本和反向覆盖成本的极树,并且进一步给出了取得最小覆盖成本和反向覆盖成本的顶点.     

基于相关子空间的双峰发射线光谱特征提取与分析

低分辨率天体光谱中呈现的双峰发射线轮廓可能反映着比较珍稀的物理现象，如双活动星系核（AGNs）、双超大质量黑洞（SMBH）、喷流云与窄线区的相互作用，也可能是光谱处理过程产生的低质量特征线。双峰发射线轮廓一般由2个或2个以上的波峰构成，对该特征进行提取并分析，可作为双AGN、星系对、双黑洞等稀有天体更有效的搜寻依据，从而有助于更深入地研究星系乃至宇宙的形成与演化。提出一种新的基于相关子空间的双峰发射线特征提取与分析方法，主要工作分为以下三部分：首先利用稀疏差异因子δ度量双峰发射线光谱中属性差异程度，利用KNN方法约束参与稀疏差异因子计算的光谱范围，在此基础上，针对LAMOST低分辨率光谱给出基于相关子空间的特征提取方法；其次，为了验证稀疏差异因子σ以及KNN的输入参数k对双峰发射线光谱的适应性，选择LAMOST双峰发射线光谱样本及普通星系光谱数据，红移范围z<0.3（确保Hα，Hβ，[OⅢ]λλ4 959, 5 007，[NⅡ]λλ6 548, 6 584，[SⅡ]λλ6 717, 6 731等发射线落在LAMOST波长覆盖范围），获得训练集光谱总数332+332（正负样本）条，并借助人眼检查分析该方法中的两个参数：k和δ阈值α对结果的影响，实验表明，当k=18，α=0.6时，相关属性分布较密集且稀疏点较少，结果比较理想；最后，对332条双峰发射线光谱特征子空间所在的波长区间、双峰红/蓝移间隔、双峰线强比等进行了理论分析、测量及人眼认证的基础上，给出了基于相关子空间的双峰发射线特征表述。此外，从双峰特征子空间上不同的发射线激发机制（[OⅢ]/[NⅡ]/[SⅡ]等禁线、Hα、Hβ等氢线）及相关特征子空间上线强关系等角度，对样本中双峰轮廓进行了分析。     

原位合成Bi3O4Br/Bi12O17Br2光催化剂及其对磺胺甲噁唑降解性能

Bi_xO_yBr_z光催化剂在有机药物废水处理领域有着非常广阔的潜在应用价值,但因光生电子和空穴的快速复合而表现出较低的光催化效率,进而限制了其应用范围。通过简易的水解-焙烧法原位制得一种新型的Bi₃O₄Br/Bi₁₂O₁₇Br₂复合光催化剂,并以磺胺甲噁唑(SMX)为模拟药物污染物进行了光催化性能测试,对所制催化剂进行了X射线衍射(XRD)、X射线光电子能谱(XPS)、扫描电子显微镜(SEM)、紫外可见漫反射光谱(UV-Vis DRS)、电化学阻抗(EIS)、光致发光光谱(PL)等表征。结果表明所制备的Bi₃O₄Br/Bi₁₂O₁₇Br₂复合光催化剂具有较强的光生载流子分离率、较低的界面电荷转移电阻,进而展示出优异的光催化降解SMX性能,在模拟太阳光下照射30 min,SMX降解率达到87%,相较于纯的Bi₃O₄Br和Bi₁₂O₁₇Br₂催化剂,降解率分别提升了30%和24%。最后基于自由基捕获实验和催化剂能带结构分析了所制催化剂的降解机理。     

A survey on book-embedding of planar graphs

The book-embedding problem arises in several area, such as very large scale integration (VLSI) design and routing multilayer printed circuit boards (PCBs). It can be used into various practical application fields. A book embedding of a graph G is an embedding of its vertices along the spine of a book, and an embedding of its edges to the pages such that edges embedded on the same page do not intersect. The minimum number of pages in which a graph G can be embedded is called the pagenumber or book-thickness of the graph G. It is an important measure of the quality for book-embedding. It is NP-hard to research the pagenumber of book-embedding for a graph G. This paper summarizes the studies on the book-embedding of planar graphs in recent years.     

Enhanced deep-red emission in donor-acceptor molecular architecture:The role of ancillary acceptor of cyanophenyl

Organic solid-state luminescent materials with high-efficiency deep-red emission have attracted considerable interest in recent years.Constructing donor-acceptor(D-A) type molecules has been one of most commonly used strategies to achieve deep-red emission,but it is always difficult to achieve high photoluminescence(PL) quantum yield(η_(PL)) due to forbidden charge-transfer state.Herein,we report a new D-A type molecule 4-(7-(4-(diphenylamino)phenyl)-9-oxo-9 H-fluoren-2-yl)benzonitrile(TPAFOCN),deriving from donor-acceptor-donor(D-A-D) type 2,7-bis(4-(diphenylamino)phenyl)-9 Hfluoren-9-one(DTPA-FO) with a fluorescence maximum of 627 nm in solids.This molecular design enables a transformation of acceptor from fluorenone(FO) itself to 4-(9-oxo-9 H-fluoren-2-yl)benzonitrile(FOCN).Compared with DTPA-FO,the introduction of cyanophenyl not only shifts the emission of TPA-FOCN to deep red with a fluorescence maximum of 668 nm in solids,but also maintains the high η_(PL) of 10%.Additionally,a solution-processed non-doped organic light-emitting diode(OLED)was fabricated with TPA-FOCN as emitter.TPA-FOCN device showed a maximum luminous efficiency of0.13 cd/A and a maximum external quantum efficiency(EQE) of 0.22% with CIE coordinates of(0.64,0.35).This work provides a valuable strategy for the rational design of high-efficiency deep-red emission materials using cyanophenyl as an ancillary acceptor.     

预热处理对褐煤热解过程氧元素迁移的影响

以中国呼伦贝尔褐煤为原料，基于工业分析、元素分析、傅里叶变换红外光谱、气相色谱-质谱联用分析，考察140-230℃预热处理对褐煤650℃等温热解氧迁移的影响。结果表明，与未经预热处理的干煤热解相比，褐煤经200℃预热处理后热解，迁移至热解水和半焦中的氧分别下降7.55%和1.43%，迁移至焦油和气体中的氧分别增加6.66%和1.61%，焦油中酚类氧增加一倍。褐煤预热过程中氢键的减少与热解焦油中正己烷可溶物所含酚类化合物的增加，经原位红外漫反射光谱分析，发现源自OH…π、OH…N和羟基自缔合氢键在预热过程中断裂形成自由OH·，导致酚类化合物中苯酚和甲酚含量增加。     

爆炸载荷作用下具有可折叠芯层夹芯梁的动态响应

基于目前研究最广泛的刚性折纸(Tachi-origami)样式，通过改变其初始折叠角度构建出4种不同的蜂窝胞元，并且通过排列分布将其组成夹芯梁。采用商用有限元软件Abaqus/explicit对准静态和爆炸载荷作用下可折叠芯层夹芯梁的力学响应进行研究，分析可折叠芯层的泊松比变化规律、夹芯梁背板挠度以及能量吸收机理；并将夹芯梁与等质量的实体梁进行对比。采用后面板最大挠度作为抗爆性能的评价，结果发现:可折叠芯层在准静态载荷下具有一定的负泊松比效应；夹芯梁的抗爆性能优于实体梁，曲边蜂窝的初始折角对其作为芯层夹芯梁的抗爆性能有较大影响，随着初始折角的逐渐增大，其抗爆性能逐渐下降；当初始折角为直角时对应于方孔直边蜂窝，其抗爆性能最差。