R~s空间中Lagrange插值问题研究

研究空间Rs中多项式空间中的Lagrange插值问题.给出了R1和R2上Lagrange插值多项式的构造,同时,给出了R2上插值问题的几个例子.另外,给出了矩形网点上的Lagrange插值多项式和三角形网点上的Lagrange插值多项式.讨论了Rs空间中的Lagrange插值多项式及其余项.     

板梁偏心连接结构有限元分析

为了合理处理列车车体结构分析中典型的板梁偏心连接问题,分别基于罚单元法和La-grange乘子法构造了板梁组合结构模型,将组合结构中相关节点对之间通过偏心关系建立的约束方程引入到平衡方程中,解决了梁单元因偏心连接而对组合结构总体刚度矩阵的贡献问题,并编制了求解板梁组合结构静强度计算问题的有限元程序。实例计算表明不但两种计算方法的计算结果吻合,而且其计算结果均与有限元分析软件ANSYS 9.0计算结果接近,位移误差在1%以内,应力误差在2%以内,分析表明二者均是处理板梁偏心连接组合结构的有效方法。     

带回程取货的逆向物流车辆路径建模及其蚁群算法

对逆向物流车辆路径问题进行了概述和分类,构建了以VRPPDTW为基础的带回程取货的逆向物流车辆路径数学模型,设计了求解该模型的最大-最小蚁群算法,对设计要素进行了详细介绍,包括初始蚁群分布,状态转移策略,以及信息素更新策略等,并给出了具体的算法步骤. 最后,以Solomon中的R101、R102、R103、R104和R105等5项示例为背景,分别取前25节点和50节点,以取货点的取货量比例分别占全部客户节点需求量的10％、30％、50％取货,得到30个算例的计算结果,并将其与Tangian和模拟退火等计算结果进行了比较,结果表明最大-最小蚁群算法在某种程度上优于其他算法     

Chinese Remainder Codes

Chinese Remainder Codes are constructed by applying weak block designs and Chinese Remainder Theorem of ring theory．The new type of linear codes take the congruence class in the congruence class ring R/I1∩I2∩…∩In for the information bit,embed R/Ji into R/I1∩I2∩…∩In,and asssign the cosets of R/Ji as the subring of R/I1∩I2∩…∩In and the cosets of R/Ji in R/I1∩I2∩…∩In as check lines.There exist many code classes in Chinese Remainder Codes,which have high code rates.Chinese Remainder codes are the essential generalization of sun Zi Codes.     

四川6种毛茛属植物的核型分析

报道了四川6种毛茛的染色体数目及其核型.研究结果表明:高原毛茛R.tanguticus的染色体数为2n=16,云生毛茛R.nephelogenes的染色体数为2n=32,西南毛茛R.ficariifolius的染色体数为2n=16,石龙芮R.sceleratus的染色体数为2n=32,毛茛R.japonicus的染色体数为2n=14,卷喙毛茛R.silerifolius的染色体数为2n=16.在此基础上,对毛茛属4个组的亲缘关系进行了讨论,结果毛茛组是该属内较进化的类群.     

欧洲规范中列车脱轨撞击结构设计的研究

为了研究适用于我国情况的高速铁路列车脱轨撞击临近结构的碰撞机理和设计方法,分析了欧洲规范EN1991-1-7中列车脱轨撞击临近结构条款制定所依据的英国铁路集团标准GC/RT5112和国际铁路联盟规程UIC777-2R,包括轨道两侧危险区域、作用荷载、预防措施等,介绍了欧洲规范EN1991-1-7中偶然荷载的设计策略,评述了对欧洲规范产生重要影响的列车脱轨撞击结构作用机理的主要研究成果.研究表明:欧洲规范关于列车脱轨结构撞击临近结构的研究方法和设计策略值得借鉴,但我国高铁站房结构特点、运行速度、道床做法、车辆编组等与欧洲均不同,需要根据我国的情况研究列车脱轨撞击临近结构问题.      

Radon-Nikodym定理的两种证明方式的比较

笔者在本文讨论应用Riesz-Frechet定理证明R-N定理.拟定的证明改进了文[1]中给出的简略证明,且在问题的处理方面与文[1]的论述略有不同.R-N定理的两种证明方式各有其独特之处.这两种证法都值得研究.     

瞬目反射在诊断多发性硬化中的意义

目的　观察多发性硬化 (MS)时瞬目反射 (BR)的变化 ,了解BR对于MS诊断价值。方法　于眶上切迹处以方波脉冲电刺激眶上神经 ,双侧眼轮匝肌记录 ,测定刺激同侧所记录的R1 、R2 和对侧R′2 的潜伏期及波幅的改变。结果　MS的BR异常率高达 64.7% ,以R1 异常表现突出。有脑桥病损临床表现者R1 异常率 87.5 %、R2 5 0 % ,其它脑干部位病损的R1 异常率5 8.3%、R2 33.3% ,临床亚脑干病损的R1 异常率 42 .9%、R2 2 8.6%。结论　亚脑干病损的高异常率BR ,提示BR可作为评价MS脑干功能的一个客观指示 ,BR检查有助于MS的早期诊断     

连续交通网络设计的全局双层多项式优化模型

提出了一种面向典型连续交通网络设计问题的全局双层多项式优化模型,其函数均为多项式,且下层问题为凸问题;上层问题旨在优化网络性能,下层问题用来刻画确定性用户均衡(DUE)交通流模式;利用Fritz John条件和乘子代替下层规划,将提出的双层多项式优化模型转换为等价单层优化问题,并利用矩半定规划(MSDP)方法得到其全局最优解;利用矩矩阵的秩作为保证全局最优性的充分条件,并估计全局最优解的个数;给出了最优道路收费问题的数值算例,用提出的双层多项式优化模型描述了算例中的最优道路收费问题,并通过Wardrop用户均衡约束调整现有路段上的交通流量,使总通行费收益最大化。研究结果表明:该简单算例的最大收益为13.5元,同时可以得到该算例的矩矩阵的秩为1,从而证明了该结果的全局最优性,提出的方法克服了均衡约束数学规划(MPEC)法和值函数法等现有求解双层优化问题的经典算法由于连续交通网络设计固有的非凸性,只能找到局部最优的问题;提出的全局双层多项式优化模型与算法为典型连续交通网络设计提供了更好的探索工具。      

Geometrical design of blade＇s surface and boundary control of Navier-Stokes equations

In this article a new principle of geometric design for blade＇s surface of an impeller is provided. This is an optimal control problem for the boundary geometric shape of flow and the control variable is the surface of the blade. We give a minimal functional depending on the geometry of the blade＇s surface and such that the flow＇s loss achieves minimum. The existence of the solution of the optimal control problem is proved and the Euler-Lagrange equations for the surface of the blade are derived. In addition, under a new curvilinear coordinate system, the flow domain between the two blades becomes a fixed hexahedron, and the surface as a mapping from a bounded domain in R2 into R3 , is explicitly appearing in the objective functional. The Navier-Stokes equations, which include the mapping in their coefficients, can be computed by using operator splitting algorithm. Furthermore, derivatives of the solution of Navier- Stokes equations with respect to the mapping satisfy linearized Navier-Stokes equations which can be solved by using operator splitting algorithms too. Hence, a conjugate gradient method can be used to solve the optimal control problem.     

CAE-Based Robust Optimization for Deep-Drawing Process of Sheet Metal Forming Using Grey Relational Analysis Method

The theory of grey systems is a new technique for performing prediction, relational analysis and decision making in many areas. The grey relational analysis was used to optimize the deep-drawing process parameters with considerations of the multiple response (the wrinkle, crack and thinning variation). The deep-drawing parameters, such as the blank holding force (F_ bh ), the radii of punch and die (R_1,R_2), the coefficients of friction (μ_1,μ_2,μ_3) are considered. An orthogonal array is used for the experimental design. The multiple response values are obtained making use of finite element analysis (FEA). Optimal process parameters are determined by the grey relational grade obtained from the grey relational analysis for multi-performance characteristics (the wrinkle, crack and the thinning). The analysis of variance (ANOVA) for the grey relational grade is implemented. The results show that the quality of stamped parts can be improved effectively through the new approach. The grey relational analysis can be applied in sheet metal forming.     

Optimization of Demosaicing Algorithm for Autofluorescence Imaging System

Autofluorescence imaging(AFI) systems are widely used in the detection of precancerous lesions.Fluorescence images of precancerous tissue are usually red(R) or blue(B), so this kind of system has high requirement for colour recovery, especially in R and B channels. Besides, AFI system requires bulk data transmission with no time delay. Existing colour recovery algorithms focus more on green(G) channel, overlooking R and B channels. Although the state-of-art demosaicing algorithms can perform well in colour recovery, they often have high computational cost and high hardware requirements. We propose an efficient interpolation algorithm with low complexity to solve the problem. When calculating R and B channel values, we innovatively propose the diagonal direction to select the interpolation direction, and apply colour difference law to make full use of the correlation between colour channels. The experimental results show that the peak signal-to-noise ratios(PSNRs)of G, R and B channels reach 37.54, 37.40 and 38.22 dB, respectively, which shows good performance in recovery of R and B channels. In conclusion, the algorithm proposed in this paper can be used as an alternative to the existing demosaicing algorithms for AFI system.     

单位球上小Bloch型空间之间的紧复合算子

用类似于单位圆盘D上小Bloch型空间之间紧复合算子的论证方法,得到了对所有的0〈p,q〈∞,C^n中单位球上小Bloch型空间β0^Dβ0^q之间的复合算子Cφ为紧算子的充要条件：对一切l=1,2,…,n有φl∈β0^q且 1）当0〈p〈1/2时,lim ｜z｜→1 （1-｜z｜^2）^q/（1-1φ（z）｜^2）^p｜〈Rφ（z）,φ（z）〉｜=0; 2）当p=1/2时,lim｜z｜→1（1-｜z｜^2）^q/（1-｜φ（z）｜^2）^2/1｜（1-｜φ（z）｜^2）In^22/1-｜φ（z）｜2｜Rφ（z）｜^2＋｜〈Rφ（z）〉｜^2}^1/2=0; 3）当p〉1/2时,lim｜z｜→1（1-｜z｜^2）^q/（1-｜φ（z）｜^2）^p{（1-｜φ（z）｜^2）｜Rφ（z）｜^2＋1〈Rφ（z）,φ（z）〉｜^2}^1/2=0.     

醇液中水含量的快速测定

通过测定醇水溶液（主要是醇和水）的电流和电阻，阐明了醇水溶液中水含量与电流、电阻或电导呈线性关系。为工矿企业工作现场快速而较准确地测定醇水溶液中的水含量提供了一种快捷的方法。     

椭圆方程奇异非线性问题与奇异边值问题正解的存在性

用上下解方法得到了 Ｒｎ 中光滑有界区域上ｆ （ ｘ , ｕ , Ｄｕ） 在ｕ ＝ ０ 处具奇性的椭圆方程 Δｕ＋ ｆ （ ｘ , ｕ , Ｄｕ） ＝ ０ 零边值问题正解的存在性并由此直接获得了“超布朗运动” 中所需的椭圆方程奇异边值问题正确的存在性．     

A new solution to the inverse position analysis of the redundant serial robot

A new solution to the inverse position analysis of the redundant serial robot is presented. The inverse position analysis problem of the redundant serial robot is transformed into a minimization problem and then the optimization method is adopted to solve the nonlinear least square problem with the analytic form of a new Jacobi matrix. In this way, the inverse solution of the redundant serial robot can be searched out quickly under the desired precision when the positions of the three non-collinear end effector points are given. The inverse position analysis of the 7R redundant serial robot is illustrated as an example and the simulation results verify the efficiency of the proposed algorithm.     

非线性最小二乘问题数值迭代法的统一模型及其不适定性

通过综合归纳在路面模量反算和测量平差等领域中求解非线性最小二乘问题的各种数值迭代解法,建立了非线性最小二乘问题数值迭代法的统一模型．根据不适定问题理论,结合非线性最小二乘问题,定义了非线性最小二乘问题的两种不适定性,对产生这两种不适定问题的现象进行了分析,并给出了实例．结果表明,在NLS问题上使用各种数值迭代解法时,需考虑其迭代过程的不适定问题．     

共形平坦流形的一类具常平均曲率的完备超曲面

设肘是共形平坦流形N^n＋1中具有常平均曲率的完备超曲面．如果肘的法向量是Nn＋1的Ricci主方向,则（1）S〈2√n-1C时,M是全脐超曲面．（2）S=2√n-1C时,M=S1（u）χSn-1（v）,其中S是M的第二基本形式模长的平方,C＝（2nr-（n＋1）R/（n2-2）,R与r分别表示N^n＋1的Ricci曲率的上、下确界．该结果是文[1,2]中结论的推广．     

基于进化规划的BP神经网络学习

通过对将传统的BP算法和遗传算法应用到BP神经网络的学习的研究和分析,指出它们存在的缺陷。提出一个改进的进化规划算法,并将其应用于BP神经网络的权值优化。取XOR问题和4奇偶性问题的实验对传统的进化规划算法和改进的进化规划算法进行实验对比。实验结果表明,本文中提出的改进的进化规划算法优于前2个算法。     

钢筋混凝土拱桥的发展

本文评述了钢筋混凝土拱桥在型式和施工方法方面的最新发展,提出在铁路桥梁建设中应重新 考虑拱桥的应用,并以两个实例的比较方案说明拱桥的经济性。