两类特殊循环图的直径下界

本文对有向循环图 G(N;1.S_2,S_3)的直径下界进行了讨论,并且在两种特殊情形下,得到了新的直径下界.     

Random walks,totally unimodular matrices,and a randomised dual simplex algorithm

We discuss the application of random walks to generating a random basis of a totally unimodular matrix and to solving a linear program with such a constraint matrix. We also derive polynomial upper bounds on the combinatorial diameter of an associated polyhedron.Supported by NATO grant RG0088/89.Corresponding author. Supported by NSF grants CCR-8900112, CCR-9024935 and NATO grant RG0088/89.     

Development and characterization of electrospun cellulose acetate nanofibers modified by cationic surfactant

Polymeric electrospun nanofibers have been gaining notoriety in the same way as their industrial applications, since the manufacturing of this type of material is simple and low-costed. In order to obtain fibrous polymeric material with small diameters and with reduced beads formation, a 2⁴ factorial experiment with triplicate at center point was performed. Cellulose acetate (CA) and cationic cetylpyridinium bromide (CPB) surfactant nanofibers were made using a homemade electrospinning apparatus. The assessed inputs were as follows: CA%, CPB%, flow rate, and applied voltage. From the analysis of the response surface methodology and scanning electron microscope (SEM), the optimal concentrations of CA and CPB for producing nanofibers were 21 w/v-% and 0.5 w/v-%, respectively, using a flow rate of 0.7 mL h⁻¹ and applied voltage of 18 kV. Fibers mats morphology shows average diameter of 0.2 μm and 7 nm pore size, as well as it was found that the single fiber unit presented nanoheterogeneity. Mechanical resistance of 2.70 MPa was obtained in the tensile strength test. The modification of CA by the addition of surfactant attributed better thermal and mechanical resistances to the nanofibers without, however, affecting their biodegradability and water resistance properties. The morphological characteristics of the newly obtained CA/CPB nanofibers combined with mechanical resistance provided subsidies to suggest that the as-obtained material presents potential to be applied as an air filter.     

Emission characteristics of diameter controlled SnO2 nanowires

SnO₂ nanowires with controlled diameters were grown by chemical vapor deposition process for which four different diameters ranging from 50 to 140 nm were grown by the controlling thickness of gold-thin-films as catalysts. The influence of the diameter-to-thickness ratio as well as the mechanism of its formation was studied. The relationship between photoluminescence intensities and aspect ratio with considering surface effects of SnO₂ nanowires was also investigated. The room temperature luminescence intensity was diminished with decreasing the diameter of nanowires due to the increasing surface/volume ratio. The transition energy and emission intensity show abnormal behavior as temperature decreased from room temperature to 5 K.     

重力场下生物膜表面的金纳米棒吸附

纳米颗粒在生物膜表面的吸附对其生物医学应用至关重要.在本研究中,采用正置与倒置石英电子微天平及耗散系数测量实验,表征了不同溶液高度的支撑膜表面金纳米棒的吸附动力学.发现金棒在重力场下产生溶液浓度不均性.长宽比增大能够提高金棒的流体力学尺寸,延缓金棒的不均再分布过程,从而维持不同溶液高度生物膜表面吸附量的一致.同时,由于浓度不均程度差异,短棒、中棒、长棒在不同溶液高度的吸附量排序关系也是变化的.在溶液底层短棒的吸附量最大,在溶液顶层中棒的吸附量最大.研究深化考察了调控纳米颗粒在生物膜表面吸附的物理因素,为纳米材料的医学应用提供了参考.     

无向双环网络直径的估计

设h,n是满足条件2≤h＜n/2的两个正整数.无向双环网络G(n,1,h)是一个无向图(V,E),这里顶点集V=Zn={0,1,2….,n-1},边集E={i→i 1(modn),i→i-1(modn),i→i h(modn),i→i-h(modn)|i=0,1,2,…,n-1}.双环网络在并行处理的互连网络与局域通信网络的设计中有着重要的应用.利用G(n,1,h)的直径与平行四边形中格点间距离的关系,我们给出了无向双环网络G(n,1,h)新的直径上界估计.设n=qh r这里0≤r＜h.当q＜r时,我们所给出的上界估计比D.Z.Du等人所给的上界估计精确.     

西昌大箐林场尔舞点云南松树高——胸径生长关系分析

树高与胸径是两个林分调查的主要因子,同时也是衡量林分生长的两个重要标志。树高(H)与胸径(D_(1.3))的关系并非不变的,随时间推移和林分状况的变化,其生长关系需重新模拟,否则在各种调查设计上都会产生偏差。此文针对该地云南松的生长状况拟合出了较为适合当前龄阶的 H—D_(1.3)生长关系模型。     

飞播云南松树干根颈径与胸径关系分析

本文针对云南松在东西河飞播林区的生长状况,分析其根颈(树基根涨尾部)径和胸径之间的关系,目的在于找出它们的关系变化,以便衡量当该树被盗伐、滥伐后被伐木的胸径大小,从而确定其材积量,为林政工作的顺利开展提供方便。经分析根颈径与胸径存在良好的线性关系。