对称分类在非线性偏微分方程组边值问题中的应用

研究了微分方程对称分类在非线性偏微分方程组边值问题中的应用.首先,利用偏微分方程(组)完全对称分类微分特征列集算法确定了给定非线性偏微分方程组边值问题的完全对称分类;其次,利用一个扩充对称将非线性偏微分方程组边值问题约化为常微分方程组初值问题;最后,利用龙格-库塔法求解了常微分方程组初值问题的数值解.     

风干含水量W65用作膨胀土判别分类指标的可行性研究

本文针对膨胀土的判别分类指标存在的一些问题,提出一种新指标--风干含水量W65.文中详细研究了它的测试方法,它与膨胀土的物理化学活性,物性指标及自由膨胀率δef等的关系。结果表明,W65能很好反映膨胀土的矿物组成或物理化学活性特征,而δef或WL则更能反映土的粒度组成或分散性特征。最后,在继承δef的判别分类成果基础上,考虑到塑性图的优点,建议采用W65-WL判别分类图。该图能区分膨胀土与典型红粘土,较单一指标判分膨胀土更合理适用。     

Water Redistribution in Irrigated Soil Profiles: Invariant Solutions of the Governing Equation

Exact solutions for a class of nonlinear partial differential equations modelling soil water infiltration and redistribution in irrigation systems are studied. These solutions are invariant under two-parameter symmetry groups obtained by the group classification of the governing equation. A general procedure for constructing invariant solutions is presented in a way convenient for investigating numerous new exact solutions.     

白水峪水电站右岸坝下游边坡岩体的RMR-SMR分类及稳定性评价

本文简要介绍了边坡岩体分类的RMR-SMR系统。结合白水峪边坡, 通过自然历史分析和稳定性计算, 讨论了运用SMR系统进行边坡岩体分类的改进意见。     

A Unified Lorenz-Like System and Its Tracking Control

This paper introduces the finding of a unified Lorenz-like system.By gradually tuning the only parameter d,the reported system belongs to Lorenz-type system in the sense defined by Clikovsky.Meanwhile,this system belongs to Lorenz-type system,Lu-type system,Chen-type system with d less than,equivalent to and greater than 1.5,respectively,according to the classification defined by Yang.However,this system can only generate a succession of Lorenz-like attractors.Some basic dynamical properties of the system are investigated theoretically and numerically.Moreover,the tracking control of the system with exponential convergence rate is studied.Theoretical analysis and computer simulation show that the proposed scheme can allow us to drive the output variable x\ to arbitrary reference signals exponentially,and the guaranteed exponential convergence rate can be estimated accurately.     

应用近红外光谱分析不同年度工业分级烟叶的特性

以红塔集团2007年—2010年在云南省玉溪烤烟产区内采集的主要工业分级烟叶样品为试验对象,其品种为红大,包括不同部位及色组的主要工业分级,共计近红外光谱5 730条;应用光谱特征投影及相关分析方法对不同年度的主要分级烟叶近红外光谱的分析结果表明：相同年度下,将各类型工业分级样品随机按2∶1划分为分析集与验证集后,其分析集与验证集特征投影均值的相关系数达0.98以上,具有较好的一致性;不同年度间,其工业分级样品光谱特征投影均值的相关系数在0.97以上,其中年度一致性最高的是2008年和2009年,较低的是2007年和2010年。同时,应用一种相似度计算方法得到了各工业分级样品光谱之间的相似度值,该相似度值以及不同年度之间的一致性系数,可为烟叶的模块配方组合或替代等提供量化的参考数据。     

Selectivity patterns in micellar electrokinetic chromatography: Characterization of fluorinated and aliphatic alcohol modifiers by micellar selectivity triangle

The usefulness of the micellar selectivity triangle (MST) for prediction and interpretation of separation patterns in micellar electrokinetic chromatography (MEKC) separations is presented. In addition, we demonstrate the capability of controlling selectivity properties of micelles through addition of organic modifiers with known solvation properties as predicted by MST. The examples are modification of the hydrogen bond donor (HBD) micelle of lithium perfluorooctanesulfonate, the hydrogen bond acceptor (HBA) micelle of tetradecyltrimethylammonium bromide, and the sodium dodecyl sulfate micelles with intermediate hydrogen bonding properties with two hydrophobic organic modifiers. One is an aliphatic alcohol, n-pentanol that can act as both a HBA and a HBD; by contrast, the other organic modifier is a fluorinated alcohol, hexafluoroisopropanol that is a strong HBD modifier and would enhance the hydrogen bond donor strength of micelles. A test sample composed of 20 small organic solutes representing HBA, HBD, and non-hydrogen bond aromatic compounds was carefully selected. The trends in retention behavior of these compounds in different micelles are consistent with the selectivity patterns predicted by the MST scheme. To the best of our knowledge, this is the first report on the unique selectivity of fluorinated alcohols as modifiers in MEKC. These results demonstrate the usefulness of the MST scheme for identifying pseudo-phases with highly similar or different selectivities and can serve as a guide for judicious selection of modifiers to create pseudo-phases with desired selectivity behavior on a rational basis.     

SMOOTH CLASSIFICATION AND LINEARIZATION OF HYPERBOLIC VECTOR FIELDS ON R~3

This paper is devoted to studying smooth normal form theory of hyperbolic vector fields. As a continuation of our previous work on smooth classification and linearization of vector fields near a hyperbolic singular point,in this paper,we deal with the case of hyperbolic vector fields on R3 by examining all possible resonant classes.     

There are 1,132,835,421,602,062,347 nonisomorphic one‐factorizations of K14

We establish by means of a computer search that a complete graph on 14 vertices has 98,758,655,816,833,727,741,338,583,040 distinct and 1,132,835,421,602,062,347 nonisomorphic one‐factorizations. The enumeration is constructive for the 10,305,262,573 isomorphism classes that admit a nontrivial automorphism. © 2008 Wiley Periodicals, Inc. J Combin Designs 17: 147–159, 2009     

Orbital analysis in the planar circular Copenhagen problem using polar coordinates

We examine the orbital dynamics of the planar Copenhagen problem, by classifying sets of starting conditions of orbits, expressed in polar coordinates. Specifically, we examine how the Jacobi constant influences several aspects of the overall dynamics of the test particle, such as its final state, as well as the time of escape/collision. By using modern diagrams with color codes, we manage to present the different types of basins. It is shown that both the character of the orbits and the fractal degree of the system are highly dependent on the Jacobi constant.