基于IGS方法的最佳分类数研究*

针对选择Gap Statistic(GS)方法估计聚类数能够得到数据集的粗略分类,但不能进一步对数据集进行细分类这一问题,对GS方法进行改进;将Gap统计量引入到ISODATA算法中,提出了IGS模型;实证表明,IGS模型不仅可以实现数据的细分类,而且通过IGS模型估计数据集的最佳分类数准确率明显高于原GS模型。     

Variation in ovariole number within the Aphidoidea

Several different morphs from over 50 species of aphids were dissected and the number of ovarioles recorded for each. By using these results and published data, details of ovariole number in more than 125 species of aphid from seven families were analysed.

Variation in ovariole number between generations was found in six of the seven families studied. Variation within a generation appeared to be restricted to certain subfamilies.

Certain trends in variability of ovariole number appear to be linked with the morph of the aphid, migratory morphs (particularly within the Aphididae) having greater variability than non-migratory morphs. Heteroecious aphids tend to show greater variability than autoecious aphids which, in turn, show greater variability than anholocyclic aphids.     

完全模糊线性规划及其近似计算

在扩充LR-模糊数定义的基础上,讨论了完全模糊约束条件的近似表示和转化定理;在新的模糊数序关系下,将完全模糊线性规划问题直接转化为分明的线性规划进行求解;与已有的结果进行了比较,并给出了算例.     

平屋顶水平封闭方腔空气层厚度数值分析

为分析平屋顶水平封闭方腔作为保温系统时其内部空气层的相对最佳厚度,通过建立二维数值模型,选择"Presto!"压力插值格式及SIMPLE(Semi-Implicit Method for Pressure-Linked Equations)解耦算法,计算了在不同边界温差和边界材料导热系数下平屋顶水平封闭方腔内辐射传热量和对流换热量及其随空气层厚度的变化.在一定条件下,通过对计算结果进行回归分析,得到平屋顶水平封闭方腔在不同温差和不同边界材料导热系数下的相对最佳空气层厚度值.     

最小自然数原理在初等数论中的几个应用

利用最小自然数原理简化了一些重要的数论问题的证明,阐述了最小自然数原理的重要性和应用问题.     

Receding horizon H∞ control for discrete-time Markovian jump linear systems

Receding horizon H∞ control scheme which can deal with both the H∞ disturbance attenuation and mean square stability is proposed for a class of discrete-time Markovian jump linear systems when minimizing a given quadratic performance criteria. First, a control law is established for jump systems based on pontryagin’s minimum principle and it can be constructed through numerical solution of iterative equations. The aim of this control strategy is to obtain an optimal control which can minimize the cost function under the worst disturbance at every sampling time. Due to the difficulty of the assurance of stability, then the above mentioned approach is improved by determining terminal weighting matrix which satisfies cost monotonicity condition. The control move which is calculated by using this type of terminal weighting matrix as boundary condition naturally guarantees the mean square stability of the closed-loop system. A sufficient condition for the existence of the terminal weighting matrix is presented in linear matrix inequality (LMI) form which can be solved efficiently by available software toolbox. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.     

对爆破振动速度影响因素的探讨

爆破振动速度是爆破地震强度的一个重要参数,准确地计算好爆破振动速度对指导爆破作业有重要意义。文章根据贵阳市金阳新区金岭东路爆破现场测试情况,采用最小二乘法原理分析数据结果,探讨爆破振动速度的影响因素。     

基于柔性约束的EAF配料模型研究

基于现代EAF炼钢流程的工艺特点,通过引入模糊数的概念,将配料成分约束模糊化,建立了基于柔性约束的配料模型,来提高配料的灵活性和适应性。采用模糊区间和模糊机会约束规划技术实现柔性约束的清晰化,合理解决了传统线性规划中由于约束条件过多、过于严格而导致的成本增加,甚至模型无解的问题,并通过仿真试验验证了方法的有效性。     

基于色度学的浮点数算法设计

以浮点数为基础,首先对色度学基本公式进行化简,使程序更为简洁,并节省硬件资源.随后按照自顶向下的系统设计流程,采用模块化设计方法,利用Verilog HDL语言设计硬件电路,对64位双精度浮点数运算模块进行设计.利用仿真软件对3个模块分别进行功能仿真,给出功能仿真图和仿真实数显示图.在通过仿真验证之后,采取调用运算模块的方法将各个模块组合起来进行系统的设计和仿真.为了验证程序的正确性,选用Mat-lab软件进行算法验证.通过对比两组结果发现:Modelsim程序的输出结果由于受到位数的限制,最终只能精确到小数点后第6位,而Matlab的输出结果位数可以精确到小数点后第14位,但两组结果在同时保留6位小数的情况下可以保证数值的一致性.因此,浮点数运算模块误差较小,具有较高的可行性和可靠性,适合在进一步设计中加以应用.     

量子棒中磁极化子的回旋共振特性和光学声子平均数

基于Huybrechts线性组合算符法,采用Lee—Low-Pines幺正变换和变分技术研究了磁场中量子棒内抛物限制势下电子一体纵光学声子强耦合磁极化子基态的回旋共振特性,推导出磁极化子回旋共振频率和光学声子平均数与磁场的回旋频率、电子一声子耦合强度、量子棒的纵横比和受限强度的变化规律。数值结果表明：磁极化子的光学声子...