一类二阶非线性变时滞差分方程解的振动性

研究了一类具有正负系数的二阶非线性中立型变时滞阻尼差分方程的振动性,通过引入参数函数和Riccati变换,获得了该类方程振动的判别准则,所得结论推广并改进了现有文献中的一系列结果,并给出了具体例子用以说明文中的主要结论．     

关于丢番图方程pX4-(p-1)y2=z4

姜信君等利用初等方法给出了丢番图方程px4-(p-1)y2=x4当p=2q+1,q≡5(mod8),p,q为奇素数时的全部正整数解.但由于篇幅限制,并未给出全部证明,我们给出了补充证明.     

任务型教学在大学英语语音教学中的实践

文章将任务型教学的理念应用于英语专业语音教学当中,把学生分成若干学习小组,设置安排有具体语音学习目标的各种任务,引导学生完成具有明确教学目的的任务,最终提高学生运用正确的语音语调进行语言交际的能力。     

关于丢番图方程x6±y6=2pz2

设p＞3为素数,证明了丢番图方程x6-y6=2pz2无正整数解,证明了丢番图方程x6+y6=2pz2在p≠1(mod 24)时无正整数解,同时获得了方程在p≡1(mod 24)时有正整数解的计算公式.     

隐喻认知与大学英语词汇教学

隐喻认知是人类思维的一种方式。隐喻理解被认为是从喻体到本体的映射。笔者结合大学英语教学实践,探讨词汇隐喻的认知机制和策略,并进行个案分析。     

常微分方程教学模式转变初探

常微分方程作为数学类专业的基础课程，在教学过程中存在教学方法单一、教学内容偏理论化、教学观念陈旧、相关知识联系被忽视等问题。结合多年的实践教学经验，对上述问题提出了一些新的改革思路，以期能提高大学生的创新能力、自主学习能力和独立思考能力，为社会培养更多综合素质高、应用能力强的实用性人才。     

一类含混合时滞非自治神经网络的指数稳定性

考虑一类含有混合时滞的非自治神经网络系统,通过构造合适的Lyapunov-Krasovskii泛函及应用Razunmikhin方法,分析该系统的零解指数稳定性.在文献[4]所研究的系统中引入了新的控制函数,使得所研究的系统更为一般,所得指数稳定性结果应用范围更广.     

Reconceptualising equilibrium in Boltzmannian statistical mechanics and characterising its existence

In Boltzmannian statistical mechanics macro-states supervene on micro-states. This leads to a partitioning of the state space of a system into regions of macroscopically indistinguishable micro-states. The largest of these regions is singled out as the equilibrium region of the system. What justifies this association? We review currently available answers to this question and find them wanting both for conceptual and for technical reasons. We propose a new conception of equilibrium and prove a mathematical theorem which establishes in full generality – i.e. without making any assumptions about the system׳s dynamics or the nature of the interactions between its components – that the equilibrium macro-region is the largest macro-region. We then turn to the question of the approach to equilibrium, of which there exists no satisfactory general answer so far. In our account, this question is replaced by the question when an equilibrium state exists. We prove another – again fully general – theorem providing necessary and sufficient conditions for the existence of an equilibrium state. This theorem changes the way in which the question of the approach to equilibrium should be discussed: rather than launching a search for a crucial factor (such as ergodicity or typicality), the focus should be on finding triplets of macro-variables, dynamical conditions, and effective state spaces that satisfy the conditions of the theorem.     

基于BP神经网络的房地产市场比较法价格评估

将ＢＰ神经网络理论应用于房地产市场比较法价格评估,讨论了网络结构的设计、学习算法等问题;计算实例表明,应用神经网络评估房地产价格具有方便、真实、可靠的特点。     

扩展Hermite方程及其求解

用级数展开法,严格求解了一二阶微分方程,此方程的特殊情况是Ｈｅｒｍｉｔｅ方程,并讨论了方程的本征值以及本征函数的正交性问题,最后还讨论了方程所对应的数种实际物理模型。