An existence theorem of a positive solution to a semipositone Sturm–Liouville boundary value problem

We study a positive solution of the semipositone Sturm-Liouville boundary value problem in which the nonlinear term has no numerical lower bound. By considering the integration of certain limit growth functions and applying the Krasnosel’skii fixed point theorem on a cone, an existence theorem is proved, and a classical existence result is extended by this theorem.     

The slip boundary condition in the dynamics of solid particles immersed in Stokesian flows

This paper reviews the classical theories of the dynamics of solid particles in a viscous flow via traditional Navier–Stokes/Stokes equations with slip or nonslip boundary conditions, and also studies a corresponding dynamical equation. The emphasis of this paper is on the explicit expressions of the slip effect at the solid-fluid boundary in the dynamics of solid particles in Stokesian fluids.     

Local field enhancement of pair arrays of silver nanospheres

Local field surface plasmon excitation of pair arrays of silver nanospheres was studied using three-dimensional finite-difference time-domain method. The near-field enhancement was associated with the radius of nanosphere and the incident wavelength, the highest of which always appeared in the penultimate gaps, regardless of the number of the pairs. The surface plasmon resonance could be controlled and tuned by radius of nanosphere and incident wavelength.     

Resource contention games in multiclass stochastic flow models

We consider resource contention games in a stochastic hybrid system setting using Stochastic Flow Models (SFM) with multiple classes and class-dependent objectives. We present a general modeling framework for such games, where Infinitesimal Perturbation Analysis (IPA) estimators are derived for the derivatives of various class-dependent objectives. This allows us to study these games from the point of view of system-centric optimization of a performance metric and compare it to the user-centric approach where each user optimizes its own performance metric. We derive explicit solutions for a specific model in which the competing user classes employ threshold control policies and service is provided on a First Come First Serve (FCFS) basis. The unbiasedness of the IPA estimators is established in this case and it is shown that under certain conditions the system-centric and user-centric optimization solutions coincide.     

Ultrastructure of the compound eyes in the hangingfly Bittacus planus Cheng (Mecoptera: Bittacidae)

The ultrastructure of the apposition eyes in the hangingfly Bittacus planus Cheng was investigated using transmission electron microscopy. The compound eyes are composed of approximately 1000 contiguous ommatidia, each of which consists of a biconvex cornea, a crystalline cone, eight retinula cells, two primary pigment cells, and 12 secondary pigment cells. The rhabdom is of fused-type and formed by the rhabdomeres from eight retinula cells that run from the cone to the basal lamina, although the rhabdomere from the basal retinula cell (R8) only contributed to the lowest part of the rhabdom. The pigment granules are spread evenly in the primary pigment cells but are concentrated at the proximal and distal ends in the secondary pigment cells, and close to the rhabdom in retinula cells. The rhabdom is peculiar for the presence of gaps at the outer corner of each two adjoining rhabdomeres in different levels of retinula cell except for the proximal zone.     

新疆天山北坡典型研究区融雪期地物光谱特征分析

地物的波谱特性乃是整个遥感技术的物理基础,更是遥感技术应用尤其是定量遥感的基石。由于融雪期静态地物与冰-雪-水等动态地物交互存在,地物光谱特征更为复杂。选取了新疆天山北坡乌鲁木齐河流域以及军塘湖流域作为典型研究区,采用美国CID公司生产的CI700便携式野外光谱仪,通过2006年到2009年融雪期大量的野外调查和实地测量,获取了新疆天山北坡典型研究区融雪期典型地物包括各种积雪、冰、水以及土壤的光谱曲线及其变化规律,并对其进行了光谱特征分析。结果表明,融雪期虽然地物类型较为单一,但是因为积雪-冰-水-土壤复杂系统的交互式影响,地物的光谱特性及其变化均较为复杂,给融雪期地表参数的定量遥感研究带来了较大的挑战。对于融雪期复杂地物光谱的系列观测及特征分析无论是对于地物光谱特征基础研究还是定量遥感应用研究均具有重要意义。     

反射面形状对光纤位移传感器光强调制特性的影响

为了分析反射面形状对单模光纤照射的光纤位移传感器光强调制特性的影响,建立了反射面不为平面时的光强调制特性函数模型.该模型基于单模光纤出射光场为修正近似高斯分布假设,通过引入反射面形状因子,分析了反射面形状因子对光强调制特性的影响规律.仿真结果表明,随着凹形反射面曲率半径值的增大,传感器特性曲线的前坡无显著变化,而后坡灵敏度增大,线性范围减小;随着凸形反射面曲率半径值的增大,传感器特性曲线的前坡仍无显著变化,而后坡灵敏度减小,线性范围增大;当曲率半径增大的一定值时,反射面的非平面性影响较小,其作用趋近于平面.     

The detection of HBV DNA with gold-coated iron oxide nanoparticle gene probes

Gold-coated iron oxide nanoparticle Hepatitis B virus (HBV) DNA probes were prepared, and their application for HBV DNA measurement was studied. Gold-coated iron oxide nanoparticles were prepared by the citrate reduction of tetra-chloroauric acid in the presence of iron oxide nanoparticles which were added as seeds. With a fluorescence-based method, the maximal surface coverage of hexaethiol 30-mer oligonucleotides and the maximal percentage of hybridization strands on gold-coated iron oxide nanoparticles were (120 ± 8) oligonucleotides per nanoparticle, and (14 ± 2%), respectively, which were comparable with those of (132 ± 10) and (22 ± 3%) in Au nanoparticle groups. Large network aggregates were formed when gold-coated iron oxide nanoparticle HBV DNA gene probe was applied to detect HBV DNA molecules as evidenced by transmission electron microscopy and the high specificity was verified by blot hybridization. Our results further suggested that detecting DNA with iron oxide nanoparticles and magnetic separator was feasible and might be an alternative effective method.     

Pd-Si binary bulk metallic glass

Pd_80+x Si_20−x (x = 0, 1, and 2) binary metallic glasses with the diameter ranging from 7 to 8 mm were prepared by a combination of fluxing and water quenching or air cooling. Thermal analysis results show that with increasing Si content, the glass transition temperature T _g, the initial crystallization temperature T _x and the onset crystallization temperature T _p of Pd-Si binary glassy alloys increase. Moreover, the supercooled liquid region reaches 61 K. It indicates that Pd-Si binary alloys possess large glass forming ability, which can be greatly improved by fluxing treatment. Supported by the National Basic Research Program of China (Grant No. 2007CB613905) and the National Natural Science Foundation of China (Grant Nos. 50671050 and 50431030)