Epidemic spreading in a scale-free network of regular lattices

The susceptible-infected-susceptible (SIS) epidemics in a scale-free network in which each node is a square lattice itself is investigated through large-scale computer simulations. The model combines a local contact process among individuals in a node (or city) with stochastic long-range infections due to people traveling between cities interconnected by the national transportation scale-free network. A nonzero epidemic threshold is found and it is approached with a power-law behavior by the density of infected individuals, as observed in the small-world network of Watts and Strogatz. Also, the epidemic propagation follows a 1/f$1/f$, hierarchical dynamics from the highly connected square lattices to the smaller degree nodes in outbreaks with sizes distributed accordingly a Gaussian function.     

Anti-holomorphic involutive isometry of hyper-Kähler manifolds and branes

We study complex Lagrangian submanifolds of a compact hyper-Kähler manifold and prove two results: (a) that an involution of a hyper-Kähler manifold which is antiholomorphic with respect to one complex structure and which acts non-trivially on the corresponding symplectic form always has a fixed point locus which is complex Lagrangian with respect to one of the other complex structures, and (b) there exist Lagrangian submanifolds which are complex with respect to one complex structure and are not the fixed point locus of any involution which is anti-holomorphic with respect to one of the other complex structures.     

A new characterization of the Berger sphere in complex projective space

We give a complete classification of Lagrangian immersions of homogeneous 3-manifolds (the Berger spheres, the Heisenberg group ${\text{Nil}}_3$, the universal covering of the Lie group $\text{PSL}(2,\mathbb{R})$ and the Lie group ${\text{Sol}}_3$) in 3-dimensional complex space forms. As a corollary, we get a new characterization of the Berger sphere in complex projective space.     

基于电源电流和输出电压的模拟电路故障模型研究

基于模拟电路电源电流和输出电压的协同分析,研究了复数域的故障建模方法,提出了一种2D故障模型的数学表达式,该模型为复平面上的一簇圆轨迹。为了扩大故障轨迹之间的距离,在相同测量精度和元件容差条件下提高故障检测率和隔离率,进一步提出了3D复数空间的优化故障模型。两种故障模型都极大简化了测点选择算法和模拟故障状态仿真的复杂度,理论上对模拟电路单故障的覆盖率为100%。基于滤波器电路的实验仿真结果验证了两种故障模型的有效性。     

Fabrication and characterization of Grass pea (Lathyrus sativus) protein isolate-Alyssum homolocarpum seed gum complex coacervate

The present work was carried out to fabricate Grass pea (Lathyrus sativus) protein isolate (GPPI) and Alyssum homolocarpum seed gum (AHSG) complex coacervate and investigate its morphological and structural properties. Formation of complex coacervates were studied by zeta potentiometry and turbidimetric analysis as function of different pHs (7.0–2.0) and GPPI to AHSG ratios (3:1 to 1:3). The critical pH values associated with the formation of soluble (pH_c) and insoluble (pH_φ1) complexes, and complete dissociation (pH_φ2) at GPPI to AHSG ratio (1:1) were found to be 4.8, 4.0, and 2.5, respectively. Formation of insoluble complex coacervate was maximum at pH 3.2 and GPPI to AHSG ratio of 1:1, where the highest yield (69%) was observed. Scanning electron microscopic (SEM) demonstrated that GPPI-AHSG complex had a rough branched-like structure. Results also showed that the complexation between GPPI and AHSG were formed through the electrostatic interaction and hydrogen bonding. Circular dichroism spectroscopy (CD) indicated that the β-sheet and random coil content in GPPI increased when AHSG molecules were added to protein solution. The fading of pure peaks of GPPI and AHSG in X-Ray diffraction (XRD) patterns of GPPI-AHSG complexes confirmed the alterations in the physical state of mixture from crystalline to amorphous. GPPI-AHSG complex coacervates had lower weight loss compared to individual GPPI and AHSG.     

混配配合物[Co(cpida)(C7H5N2)2]·C7H5N2·5H2O

在溶液中用N-(邻苯甲酸基)-亚氨基二乙酸、苯并咪唑和Co(Ac)2·4H2O进行自组装合成了标题三元金属混配配合物.用元素分析、红外光谱、单晶衍射对配合物的组成和结构进行了表征,确定配体N-(邻苯甲酸基)-亚氨基二乙酸中的3个羧基为单齿形式与中心金属钴离子配位.     

荧光法研究牛血清白蛋白与三羟基苯基荧光酮-钼(Ⅵ) 配合物探针的作用机理

用荧光光谱法研究了三羟基苯基荧光酮(TH-PF)-钼(Ⅵ)配合物与牛血清白蛋白的结合反应。探讨了TH-PF-Mo(Ⅵ)配合物对蛋白质内源荧光的猝灭机理,并测定了不同温度下的结合常数,温度为25 ℃时,荧光猝灭法测得该反应的结合常数为K=4.78×104 L·mol-1,温度为40 ℃时,荧光猝灭法测得该反应的结合常数为K=3.72×104 L·mol-1。根据Frster非辐射能量转移理论,确定了给体-受体之间的作用距离和能量转移效率(E=0.314),并根据热力学参数确定了TH-PF-Mo(Ⅵ)配合物与牛血清白蛋白之间的作用力类型,以静电引力为主。     

空间雷电探测实时采集定位系统

星载雷电探测定位系统是利用光学探测器探测闪电事件的地理位置和光脉冲波形,系统采用CPLD+DSP的数字图像处理方案,利用了CPLD复杂逻辑可编程特性将系统的部分或全部功能集成在一片CPLD上,减小了系统硬件复杂程度,节省了印制版空间.利用DSP高速数字信号处理特性完成实时处理图像数据的功能.系统用CPLD完成图像信号的采集、编码和存储控制,缩小了星载设备体积,简化了电路结构;用DSP完成大量图像数据处理工作,提高了系统工作的实时性.     

Synthesis and Structure of a Manganese(Ⅱ) Complex: [Mn2·(dinitrobenzoic acid)4·(1,10-phen)2]n

The title compound, [Mn2·(dinitrobenzoic acid)4·(1,10-phen)2]n, has a linear chain structure containing binuclear [Mn2·(dinitrobenzoic acid)4(1,10-phen)2] repeat units. It crystallizes in the triclinic system, space group P1- with a = 7.9261(8), b = 12.1329(15), c = 14.847(2)(A), α = 103.845(5), β =101.424(5), γ= 92.618(4)°, Mr= 657.37, V= 1352.3(2) (A)3, Z = 2, Dc= 1.614 g/cm3, F(000) = 666, μ =0.567 mm-1, the final R = 0.0407 and wR = 0.1015 for 4081 observed reflections with I ＞ 2σ(Ⅰ). The Mn atom is six-coordinated by two N and four O atoms, forming a slightly distorted octahedral geometry. All Mn-O and Mn-N bond distances range from 2.093(2) to 2.310(2)(A). Two adjacent octahedral units are bridged together by two pairs of bi-monodentate carboxyl groups of different dinitrobenzoic acids to form an eight-membered ring with chair-typed configuration, thus generating a one-dimensional chain along the a axis.