活跃在高考卷中的数列问题

数列是高中代数的重点之一,也是高考的考查重点,在高考中占有相当大的比重.纵观近几年的高考试题,数列题无处不在.这些试题不仅考查数列、等差数列和等比数列,数列极限的基础知识、基本技能、基本思想和方法,     

拓扑向量空间中的一类平衡问题研究

通过对偶的方法研究了拓扑向量空间上的一类平衡问题,并详细的证明了平衡问题解的存在性结果,又利用集值映射的拟凸性讨论了一类集值映射的平衡问题,并给出了详细的证明过程,得到其平衡问题的解的存在性结果.     

GFC-空间中的KKM定理及其对一般拟平衡问题系统的应用

在GFC-空间中建立了新的KKM定理和Browder型不动点定理,作为应用,狭得了GFC-空间中的一般拟平衡问题系统和拟平衡问题系统的平衡存在定理．     

Bifurcations of limit circles and center conditions for a class of non-analytic cubic Z 2 polynomial differential systems

In this paper, bifurcations of limit cycles at three fine focuses for a class of Z ₂-equivariant non-analytic cubic planar differential systems are studied. By a transformation, we first transform nonanalytic systems into analytic systems. Then sufficient and necessary conditions for critical points of the systems being centers are obtained. The fact that there exist 12 small amplitude limit cycles created from the critical points is also proved. Henceforth we give a lower bound of cyclicity of Z ₂-equivariant non-analytic cubic differential systems.     

Electron Momentum Distributions for 4a1 Orbitals of CFxCl4-x in Low Momentum Region： a Possible Evidence of Molecular Geometry Distortion

Electron momentum distributions for 4a1 orbitals of serial freon molecules CFaC1, CF2Cl2, and CFCl3 （CFxC14-x, x=1-3） have been reanalyzed due to the severe discrepancies between theory and experiment in low momentum region. The tentative calculations using equilibrium geometries of molecular ions have exhibited a great improvement in agreement with the experimental data, which suggests that the molecular geometry distortion may be responsible for the observed high intensities at p〈0.5 a.u.. Further analyses show that the severe discrepancies at low momentum region mainly arise from the influence of molecular geometry distortion on C-Cl bonding electron density distributions.     

一次引爆型固相FAE云雾爆轰半径的研究

研究了氧平衡及爆炸下极限条件对燃料空气炸药（Fuel Air Explosive,FAE）云雾爆轰半径的影响。由固相FAE燃料的氧平衡及爆炸下极限条件,导出一次引爆型固相FAE云雾爆轰半径计算公式,并从理论上给出了FAE云雾爆轰半径的范围。通过对FAE爆炸场超压的测量及对FAE爆炸过程高速摄像分幅照片的定量分析,得到一次引爆型固相FAE的云雾爆轰半径,并将其与计算的云雾爆轰半径进行了对比,计算的云雾爆轰半径与试验值是一致的。研究结果表明,FAE燃料负氧越多,对应的云雾爆轰半径值越大;燃料爆炸下极限值越小,对应的云雾爆轰半径值越大,且固相FAE的爆轰半径不超过爆炸下极限条件爆轰半径。FAE中的高效燃料可以通过氧平衡以及爆炸下极限条件来选择,以此提高FAE的功率。     

80°/65°双三角翼摇滚特性风洞实验研究

介绍了在FL-23高速风洞中研究自由摇滚的装置、试验方法、数据采集等试验技术.在马赫数从0.3到0.6范围内,对应的雷诺数从0.56×107/m至1.126×107/m范围内,开展了双三角翼大迎角下的摇滚特性的研究,包括迎角、马赫数、初始释放等参数的影响,给出了典型的结果.结果表明,随着模型迎角的增加,双三角翼呈现不同的滚转运动形态,包括静态稳定、准极限环摇滚、双周期震荡等;试验中马赫数提高对翼摇滚起抑制作用;摇滚运动的最终平衡状态和摇滚幅值与初始状态无关.     

一种求解有限元问题结点平衡方程的快速方法

目前随着工程实际问题复杂程度的增加及分析的要求,特别是材料非线性分析的引入,尽管计算机的运算速度、内存、外存容量等不断提高,但并不能完全满足大规模计算的需要,更快、更节省存贮空间的算法一直是有限元法分析过程中的一项核心技术要求。本文针对一些结点及单元均规律化地排列的有限元问题,提出可以透过其相邻结点的关系记录结点平衡方程中系数矩阵的非零元素,无需再像等带宽存贮那样去记录带宽内大量的零元素。此方法可以大大地减少系数矩阵元素的存贮量,从而可以提高计算机读取数据的速度及改善利用迭代法求解的效率。     

Size-dependent coalescence kernel in fertilizer granulation-A comparative study

Granulation is a key process in several industries like pharmaceutical, food, fertilizer, agrochemicals, etc. Population balance modeling has been used extensively for modeling agglomeration in many systems such as crystallization, aerosols, pelletisation, etc. The key parameter is the coalescence kernel, β（ij） which dictates the overall rate of coalescence as well as the effect of granule size on coalescence rate. Adetayo, Litster, Pratsinis, and Ennis （1995） studied fertilizer granulation with a broad size distribution and modeled it with a two-stage kernel. A constant kernel can be applied to those granules which coalesce successfully. The coalescence model gives conditions for two types of coalescence, Type I and II. A twostage kernel, which is necessary to model granule size distribution over a wide size distribution, is applied in the present fluidized bed spray granulation process. The first stage is size-independent and non-inertial regime, and is followed by a size-dependent stage in which collisions between particles are non-random, i.e. inertial regime. The present work is focused on the second stage kernel where the feed particles of volume i and j collide and form final granule ij instead of i ＋j （Adetayo et al., 1995） which gives a wider particle size distribution of granules than proposed earlier.