关于一类环确定的上根

对环类Ｍ，用ＵＭ表示由Ｍ所确定的上根．若Ｍ中环都是有单位元的单环，则（ａ）ＵＭ是遗传根；（ｂ）对任意环Ｒ，ＵＭ（Ｒ）＝∩｛Ｉ：ＩＲ，Ｒ／Ｉ∈Ｍ｝．讨论了由亚直既约环类所确定的上根，给出了满足条件（ｂ）的上根的一些刻画     

四角系统的一般Randidc标的下界

一个图（分子）G的一般Randic指标定义为图G的所有边上的权（d（u）d（v））^a之和，这里d（u）表示G中点u的度且α是任意一个实数．确定了有n块格子的四角系统的一般Randid指标在α≥1时的下界，并且给出了相应的极图．     

Bound lipids in lacustrine sediments in Guchenghu Lake, East China

Conclusion Lipids present in different modes of occurrence in lacustrine sediments vary obviously in their composition. The ester-bound and amide-bound lipids are more likely to be derived from autochthonous input such as bacteria, algae and fungi in the lake, and they were more stable than the free lipids in the process of early diagenesis. Bound lipids record the more actual information about the paleoclimatic and paleoenvironmental changes. Amide-bound P-hydroxy fatty acids can be used as a fingerprint of the past bacterial communities which is informative to the paleoenvironment.     

关于Mersenne数的最大无平方部分

设P是奇素数，本文证明了：Mersenne数2p-1的最大无平方部分Q（2p-1）满足：Q（2p－1）≥min（2p－1，（πp／logp）2）。     

浅析以“下界面调式”为基础的朝鲜族民歌

朝鲜族是我国能歌善舞的少数民族之一，具有灿烂的民族文化遗产。以民谣作为基石发展起来的朝鲜族音乐，具有清新、柔美、婉转、明朗、轻快的旋律和丰富多彩的“长短”节奏之美。以民歌题材为分类方式，以下界面调式为研究视角，对朝鲜族民歌的结构进行研究，进而分析出以“下界面调式”为基础的朝鲜族民歌的结构特征及其创作特点。     

Scott开滤子拓扑的连续性巩(英文)

该文证明了完备格Ｌ为连续格当且仅当Ｌ上的Ｓｃｏｔ开滤子拓扑σＦ（Ｌ）为连续格，且细于Ｌ上的上拓扑．特别地，若Ｌ的素元集是序生成集，则Ｌ为连续格当且仅当σＦ（Ｌ）为连续格．     

Mixed monotone decomposition of dynamical systems with application

The notions of mixed monotone decomposition of dynamical systems are introduced. The fundamental idea is to make an elaborate use of the natural growth and decay mechanism inherent in the structure of a dynamical systems to decompose its dynamics into increase and decrease parts, and thereby to constitute an augmented dynamical system as the secalled “two-sided comparison system” of the original one. The corresponding two-sided comparison theorems show that the solution of the comparison system gives lower and upper bounds of that of the original system. Therefore, the properties of a dynamical system can be obtained through the study of its two-sided comparison system. Compared with the conventional comparison method in literature, the mixed monotone decomposition method developed herein takes in a natural way structural properties of dynamical systems into account instead of requiring strict conditions of (quasi-)monotonicity on them, and could yields refined, usually nonsymmetrical, state estimates, and thus is more suitable for systems with nonsymmetrical state constraints. As an application of the method, a sufficient condition is established for the global asymptotic stability of the trivial solution of a class of continuous-time systems with nonsymmetrical state saturation. The condition is given in terms of coefficients and state saturation levels of such systems, and contains as a special case a recent result on systems with symmetric state saturation in literature.     

铁路编组站阶段计划编制的模型及其算法研究

以压缩车辆在编组站停留时间为目标，建立阶段计划车流推算模型，考虑列车解体顺序与列车出发计划的综合协调问题，并通过求解带分枝定界策略的网络流及有准备时间的带权最小误工工件数问题，解决了编组站因车流不足需停运出发列车运行线的问题.     

学校拓展训练课程的几点思考

首先阐述了学校拓展训练课程的含义，分析了学校拓展训练课程设置的目标、课程的特点，最后阐述了学校拓展训练与企业拓展训练及体育游戏的区别．     

对康德认识论总问题的再认识

“先天综合判断如何可能”的问题是康德认识论的总问题，也是康德认识论所要解决的根本问题。康德在寻求这个根本问题的解决时，既不是从主体和对象的关系上想办法，也不是从外部经验方面来找出路，而是从主体的先天条件着手，他认为这对解决这个问题具有重大的意义。康德在逻辑学、认识论、方法论等方面，找出感性、知性和理性三种不同认识能力本身固有的先天知识形式和知识原理，从而确定人类认识能力在某一范围内可以构成科学知识，超出这一范围便会产生假知识、伪科学，进而表明“先天综合判断”这一命题在康德认识论中的地位及意义。对康德这一总问题的再认识，有利于更好地理解和评价康德哲学。