几何模型应用于液态合金时体系对称性的一个热力学判据

针对液态合金提出以正规溶液作为判断实际体系对称性的热力学基准,将Toop法、周国治法、Kohler法以及新一代几何模型4种几何模型应用于10个液态合金体系的活度预测,比较预测效果的差异。结果表明,采用正规溶液模型作为判断实际体系对称性的热力学判据是方便可靠的。在4种模型中,Toop模型预测效果最好,所需参数最少。新一代几何模型(Chou’)预测效果较好,所需参数最多。Kohler和周国治(Chou)模型预测效果相对较差,所需参数数量较多。     

分子轨道方法在有机反应机理中的应用

利用分子轨道理论直观解释了有机反应机理中所涉及到的立体化学、区域选择性以及对称性选择规律等有机化学中不易解释清楚的问题。相较于传统的"电子推动"方法,分子轨道方法更加直观,并能为有机反应机理的学习提供更深的理解。     

Linearization through state immersion of nonlinear systems admitting Lie symmetries

In this paper, it is shown that if a nonlinear system admits a Lie symmetry that can be transformed into its Poincaré-Dulac normal form by a state diffeomorphism, then, under some technical conditions, such a nonlinear system can be immersed into a linear one. This allows us to compute in closed-form the flow, all algebraic invariant curves (through semi-invariants) of the nonlinear system, and Lyapunov functions to study stability properties.     

Spatiotemporal symmetry and multifractal structure of head movements during dyadic conversation.

This study examined the influence of sex, social dominance, and context on motion-tracked head movements during dyadic conversations. Windowed cross-correlation analyses found high peak correlation between conversants’ head movements over short (≈2-s) intervals and a high degree of nonstationarity. Nonstationarity in head movements was found to be positively related to the number of men in a conversation. Surrogate data analysis offsetting the conversants’ time series by a large lag was unable to reject the null hypothesis that the observed high peak correlations were unrelated to short-term coordination between conversants. One way that high peak correlations could be observed when 2 time series are offset by a large time lag is for each time series to exhibit self-similarity over a range of scales. Multifractal analysis found small-scale fluctuations to be persistent, τ(q) 0.5. These results are consistent with a view that symmetry is formed between conversants over short intervals and that this symmetry is broken at longer, irregular intervals. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

一种新式键槽中心对称度测量仪的设计

针对目前键槽对称度测量仪存在的不足,设计一种操作方便、读值直观、精度较高的键槽中心对称度测量仪。阐述装置结构和测量方法,并给出一个具体实例。     

轴对称地下结构受力分析

本文推导了轴对称地下结构承受的岩石压力公式、地下结构塑性区的应力表达式和它的极限载荷表达式。     

计算大型对称结构的固有频率和振型

在计算对称结构的静强度问题时，广泛采用仅剖分由对称面分割出的部分结构，再附加上其对称面的边界条件，进行有限元计算就可得到满意的结果，既节省了有限元计算前的大量数据的准备时间，又缩短了计算机解题的时间，但在计算其固有频率和振型时，怕遗漏某些固有频率和振型，往往采用剖分整体结构计算出全部固有频率和振型，但大型对称结构剖分时节点数较多，甚至有时在大型计算机上也难以进行计算，能否也剖分由对称面分割出的部分结构？给出什么样的边界条件？可以等效于整体结构的固有频率和振型；本文从理论上闸明其可行性，并用几个算例说明其正确性．     

一种智力玩具的研究

本文总结了作者对智力玩具多年研究的成果,对它的基本知识、图形表达、拼(?)规律、“式”与“解”的举例、操作要求、有关制造的问题、以及对未来的展望,均作了扼要的阐述。可以看出:这种智力玩具变化万千,兴味无穷,制作简易,成本低廉,体积轻小,携带方便,一定可以成为人们长期爱不释手的玩具,有很大的开发价值。