M.B.积分、B.E.积分、F.D.积分及其应用

本文给出了麦免斯韦—玻耳兹曼积分(M.B.积分)、玻色—爱因斯坦积分(B.E.积分)和费密—狄拉克积分(F.D.积分)的计算公式,并应用这些积分公式对经典理想气体、理想玻色气体和理想费密气体的主要热力学量进行了计算。其特点是对经典系统和量子系统都给出了统一的表述形式。     

B-值随机级数的强可积性

在已有文献中研究了eλ‖v‖的强可积性,其中V=sum εnun,un from 1 to ∞是固定B-值向量,ε1,…,εn,…是Rademacher序列,在此基础上一类随机级数sum εnun from 1 to ∞的性质被研究并得出了类似的结果.     

Neurotrophic regulation of synapse development and plasticity

Neurotrophic factors are traditionally thought to be secretory proteins that regulate long-tern survival and differe, ntiation of neurons. Recent studies have revealed a previously unexpected role for these factors in synaptie de velopment ami plasticity in diverse neuronal populations. Here we review experimeuts carried oul in our own laboratory in the last few years.. We have made two important discoveries.First,we were among the first to report that brain-derived. neurotrophie faclor (BDNF) facilitates hippocampal hmg-term potentiation (LTP), a form of synaptic plaslicity believed to be involved in learning and memory. BDNF modulates LTP al CAI synapses by enhaneing synaptic responses to high frequency, tetanic slimulalion. This is achieved primafily by facilitating synaptie vesicle doeking, possibly due to an in crease in the levels of the vesicle prolein synaptobrevin and synaptoplysin in the nerve terminals. Gene knockout study demonstrates thai the effects of BDNF are primarily mediated through presynaptic mechanisms. Second, we demonstrated a form of long-term, neurotrophin-mediated synaptic regulation. We showed that long-term treatment of the neuromuscu lar synapses with neurotrophin-3 (NT3) resulted in an enhancement of both spontaneous and evoked synaptic currcuts, as well as profound changes in thc number of synaptic varicosities and syuaptic vesicle proteins in motoneurons, all of which are indicative of more mature synapses. Our current work addresses the following issues:(i) activity-dependent trafficking of neurotrophin receptors, and its role in synapse-specific modulation; (ii) signal transduction mechanisms medialing the acute enhancement of synaplic transmission by neurotrophins; (iii) acute and long-tenn synaptie actions of the GDNF family; (iv) role of BDNF in late-phase LTP and in the development of hippocampal circuit.     

MODSOFT软件在承钢高炉的突破

本文针对MODSOFT软件在生产使用过程中存在的问题,进行了分析,并提出了相对应的解决方案。     

带有Neumann边界的P-Laplacian方程组正解的存在性

在本文中,我们讨论带有齐次Neumann边界条件的拟线性方程组的边值问题,在合适的参数条件下得到了正解的存在性.本文所依赖的方法是特征值理论和P.S.条件.     

随机广义概周期序列

运用随机多项式的界估计,研究了一般随机广义概周期序列,得到了一般随机序列是H．a．p序列和R．a．p序列且谱是空集的一个充分条件．     

纸机分布传动计算机监控系统

介绍用89C52单片机和工业控制计算机组成的纸机分布传动计算机监控系统.主要包括系统的硬件结构和软件设计.     

二次供水系统用水模型与管网状态预测

现有的二次加压供水中存在很大的能量浪费,主要表现在其供水方式的不合理和缺乏 较好的控制方法.本文介绍了可利用市政管网压强能量的二次供水系统的用水模型.并针对城市供水系统的复杂性、非线性、时变性和多因素影响的特点,引入人工神经网络,用于管网状态负荷预测.     

Molecular evolution of scorpion a-toxins----Accelerated substitutions and functional divergence

Scorpion a-toxins are a family of toxic proteins with similar scaffold, but possess divergent pharmacological properties. Analysis of cDNA sequences reveals that the numbers of nucleotide substitutions per site ( K ) for 5' and 3' UTRs are smaller than those per synonymous site ( Ks) for the mature peptide-coding sequences, whereas the numbers of nucleotide substitutions per nonsynonymous site (-Ka) are close to or larger than Ks values for relevant pairs of cDNAs. These results, together with phylogenetic analysis, indicate that scorpion a-toxins have evolved by accelerated substitutions in the mature toxin regions. In addition, the 15 amino acids, absolutely conserved in all the scorpion a-toxins described so far. are mostly located in molecular interior, which may be involved in structural constraints for stabilizing the CSa(3 fold in evolution of these molecules. Four hot spot mutation sites in the molecular surface are found to distribute in the putative functional regions of a-toxins. suggesting that positive Darwinian selection drives the accelerated evolution of scorpion a-toxins. These findings reasonably explain the relationship between three-dimensional structure conservation and functional divergence of scorpion a-toxins and are of important value in guiding us in our engineering experiments to obtain higher affinity ligands to Na+ channels.     

D.S.规划的uv-分解

主要利用uv-分解理论分析D.S.规划。先将D.S.函数uv-分解,再给出D.S.规划算法和最优性条件。     

非绝对积分与绝对积分的关系

说明了Newton积分与Henstoek积分为非绝对积分，Riemann积分与Laebesgue积分为绝对积分，讨论了这几种积分之间的关系，证明了Henstoek积分是这几种积分的统一形式，同时证明了R([a．b])是不完备空间，H([a，b])是完备空间。     

关于对称性在积分学中的几个命题及其应用

利用对称性解题是数学解题教学中常见的策略之一，本文通过给出对称性在定积分、重积分、曲线积分以及曲面积分的几个命题，并运用如上命题计算了一类典范性的积分题例．     

关于元素法应用的一点探索

本探讨了元素法在解决重积分化累次积分，对弧长的曲线积分化为定积分及对面积的曲面积分化为二重积分的应用。     

黎曼积分的可积性研究

分析了诸多积分概念的共性,抽象出黎曼积分的定义,给出了黎曼可积的条件.     

抽象函数的积分

文章讨论了抽象函数弱连续性与Pettis可积性之间的关系。特别地,当抽象空间为自反Banach空间时,证明了抽象函数的Pettis可积与Riemann可积的等价性,最后讨论了p次Bochner可积抽象函数空间Lp(B,μ)的完备性。     

浅谈工科高等数学教材中的积分学理论体系

系统阐述了积分思想,概括各类积分的统一定义,总结了几类积分之间的关系.     

近代积分论中的三种观点

在剖析Riemann积分的基础上,研究积分论中各种积分的思想和特点,并提供了进展情况。     

直观性原则在重积分计算中的应用

在重积分理论中 ,积分限的安排与交换积分次序是教学上的重点亦是难点 ,本文就如何处理这些问题进行了较为深入的探讨 ,并用集合的观点 ,指出了一系列易于接受和理解的方法 ,把重积分积分限的安排及次序交换与中学数学有关集合与曲线的概念联系在一起 .     

关于安道什猜想的推广

关于方程multiply from i=1 to k x_i~z_1=Z~z的奇数解问题,文献[4]证明了对k>3的所有k,方程(1)都有奇数解,本文再给出几组新的奇数解。     

用含参变量积分解决积分计算的数学模式

含参变量积分是一类比较特殊的积分，由于它是函数但又是以积分形式给出的，所以它在积分计算中起着桥梁作用，本文主要总结解决积分计算的数学模式。