用测量法求平面封闭区域之面积及空间封闭区域之体积

怎样用测量的方法来分别求由无解析表达式或由积分法很难求面积或体积的已知表达式的平面封闭曲线或空间封闭曲面所围的面积或体积?本文分别给出了简单易行的求面积的“改进了的方格法”及求体积的“立方体分割法”,并且证明了对于满足一定条件的平面封闭曲线或空间封闭曲面,当测量所用单位(平面小正方形的边长或空间小立方体的边长)充分小时,所测得的面积或体积与实际的面积或体积之差的绝对值是所用单位的二阶无穷小.并且,当曲线或曲面的某些性质已知或至少可以估计出其范围的情况下,本文给出了为使测量结果达到任意精度,应当使用多大的测量单位.     

USING MEASURING METHOD TO FIND AREA OF ENCLOSED PLANE REGION AND VOLUME OF ENCLOSED SPACE REGION

Two simple methods to calculate the area and volume called improved square gridmethod and cube cutting method are proposed in this paper. For any plane curve orspace surface satisfying certain conditions, by our method, the error of measurement isof the second infinitive order of measuring unit (the side length of the square grid or theside length of the little cube) when the unit is small enough. And when some properties ofthe curve or the surface can be found or its varying bounds can be evaluated, it is pointedout, in order to make the error smaller than any given value, how small the length of themeasuring unit should be.     

一种基于加权最多邻近点距离的相关跟踪方法

针对相关跟踪过程中障碍物遮挡,噪声和目标形变对跟踪稳定性的影响,提出了一种基于加权最多邻近点距离的相关跟踪方法。采用模板图像与实时图像的相似点个数并与距离进行加权的方式定义相似性度量,结合相似度对目标模板进行更新,采用Kalman算子预测目标位置并进行分层搜索,实现快速稳定跟踪目标。实验结果表明,该方法能较好地抑制噪声和目标遮挡的影响,目标遮挡重新捕获成功率高于80%,目标跟踪精度低于10个像素。     

二次微分系统(III)_n=0的极限环和分支现象

本文应用分支理论得到了二次系统（ＩＩ）ｎ＝０在Ｏ（０，０）外围极限环的存在和数目及分界线环和半稳定环分支曲线的所有可能的分支图进一步地，证明了该系统在Ｏ外围至多有三个极限环，且有以一个有限和两个无穷远鞍点或鞍结点为顶点的非单值多边环     

SINGULAR PERTURBATION OF INITIAL BOUNDARY VALUE FROBLEMS OF REACTION DIFFUSlON EQUATION WITH DELAY

ＳＩＮＧＵＬＡＲＰＥＲＴＵＲＢＡＴＩＯＮＯＦＩＮＩＴＩＡＬＢＯＵＮＤＡＲＹＶＡＬＵＥＦＲＯＢＬＥＭＳＯＦＲＥＡＣＴＩＯＮＤＩＦＦＵＳｌＯＮＥＱＵＡＴＩＯＮＷＩＴＨＤＥＬＡＹＺｈａｎｇＸｉａｎｇ（张祥）（ＡｎｈｕｉＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ）Ｗｕ...     

双核铂(Ⅱ)配合物[{Pt(H2O)2I}μ-OOC-COO-{Pt(H2O)2I}]对人体癌细胞的作用

采用MTT和SRB法研究了双核铂(Ⅱ)配合物[{Pt(H2O)2I}μ-OOC-COO-{Pt(H2O)2I}](BPI)对人体癌细胞的增殖抑制作用,又通过流式细胞法、Giemsa染色法、等离子体质谱法研究了它的抗癌机制.实验结果表明:在10 μmol·L-1浓度下,该配合物对HL-60, BGC-823,Bel-7402,KB,Hela,HCT-8,MCF-7和EJ 8种肿瘤细胞都表现出有较高的活性,对HL-60、BGC-823和Bel-7402 3种肿瘤细胞的抑制率都在70%以上,它能阻止HL-60细胞G2+M→G1期的进行;对HL-60细胞的凋亡诱导作用不明显;在相同浓度情况下其与HL-60细胞的DNA键合量大于顺铂.     

奇摄动Volterra型积分微分方程Robin问题

本文利用上、下解证明了Volterra型积分微分方程解的存在性。然后，应用所获得的微分不等式理论，在适当的假设下，通过构造特殊的上、下解函数，证明Volterra型 奇摄动积分微分方程解的存在性，并给出一致有效的解的渐近估计。     

Completely Integrable Hamiltonian Systems Generated by Poisson Structures in R^3

The completely integrable Hamiltonian systems have been applied to physics and mechanics intensively. We generate a family of completely integrable Hamiltonian systems from some kinds of exact Poisson structures in R^3 by the realization of the Poisson algebra. Moreover, we prove that there is a Poisson algebra which cannot be realized by an exact Poisson structure.     

高阶拟线性椭圆型方程奇摄动问题

本文利用微分不等式和多重尺度，研究了一个高阶椭圆型偏微分方程摄动边值问题，并得到了一致有效的渐近展开式。     

Boundary and interior layer behavior for singularly perturbed vector problem

In this paper,we consider the vector nonlinear boundary value problem:εy~v=f(x,y,z,y′,ε),y(0)=A_1,y(1)=B_1εz~v=g(x,y,z,z′,ε),z(0)=A_2,z(1)=B_2whereε>0 is a small parameter,0≤x≤1 ,f and g are continuous functions in R~4,Under appropriate assumptions,by means of the differential inequalities,we demonstratethe existence and estimation,involving boundary and interior layers,of the solutions to theabove problem.