On Small Contractible Subgraphs in 3-connected Graphs of Small Average Degree

We study the distribution of small contractible subgraphs in 3-connected graphs under local regularity conditions.     

实际气体内能的另一求法

利用统计理论导出实际气体的内能公式，较传统方法的结果物理含义更清晰．     

Improper Riemann Integral and Henstock Integral in ℝn

The Henstock integral in ℝⁿ and its relation to the n-dimensional improper Riemann integral are studied. A Hake-type theorem for the Henstock integral in ℝⁿ is proved.__________Translated from Matematicheskie Zametki, vol. 78, no. 2, 2005, pp. 251–258.Original Russian Text Copyright © 2005 by P. Muldowney, V. A. Skvortsov.     

命题公式集F(S)的基于R0-算子的16类分划

利用R₀-蕴涵算子对命题公式集F(S)进行分类,得出了F(S)的一个16类分划,并证明了这种分类关于非运算是同余分类.最后讨论了各类关于MP运算与HS运算的封闭性.     

Partitioned Tensor Products and Their Spectra

A pleasant family of graphs defined by Godsil and McKay is shown to have easily computed eigenvalues in many cases.     

A general approach to association using cluster partition functions

A systematic and fundamental approach to associating mixtures is presented. It is shown how the thermodynamic functions may be computed starting from a partition function based on the cluster concept such as occurs in chemical theory. The theory provides a basis for and an extension of the existing chemical theory of (continuous) association. It is applicable to arbitrary association schemes. Analysis of separate cases is not necessary. The assumptions that were made to allow the development were chosen such as to make the principle of reactivity valid. It is this same principle that links various theories: the chemical theory of continuous association, the lattice fluid hydrogen bonding model, and first-order perturbation theory. The equivalence between these theories in appropriate limits is shown in a general and rigorous way. The theory is believed to provide a practical framework for engineering modeling work. Binary interaction parameters can be incorporated. The association scheme is accounted for by a set of generic equations, which should facilitate robust implementation in computer programs.     

与k1∪Pm0的补图有相同色划分的图

本应用色项式的性质讨论了K1∪Pm0的补图的色划分，并完全刻画了与此类图有相同色划分的图。     

ON THE EMPTY CONVEX PARTITION OF A FINITE SET IN THE PLANE

The authors discuss the partition of a finite set of points in the plane into empty convex polygons, and improve some upper bound and lower bound in the related enumeration problems.     

有机物在水/双阳离子有机膨润土界面的吸附贡献率研究

在长、短碳链表面活性剂总量恒定条件下制备了一系列双阳离子有机膨润土，研究了其对水中苯胺，对硝基苯酚2，4－二氯酚的吸附行为，结果表明双阳离子有机膨润土对有机物的分配系数（Kd）与有机碳含量（f∝)、辛醇－水分配系数（lgKow)成线性正相关，与溶解度（lgS)成线性负相关，通过数学模拟，首次描述了表面吸附和分配作用两种吸附机制的相对贡献率和改性表面活性剂配比的关系；结果表明双阳离子有机膨润土对水中有机物两种吸附机制的主导地位与有机物本身性质有关，其主导作用发生变化的拐点与长碳链表面活性剂所占比重相关。