β-烷基对卟吩异构化的取代基效应

用AM1 MO方法和过渡状态理论研究了β-甲基和β-乙基对卟吩异构化反应的影响.具体计算了卟吩和这2个β-烷基卟啉异构化的反应势能剖面, 以及卟吩反应与它们的反应速率常数的比值.结果表明, β-烷基取代后, 活化焓因素对异构化反应是不利的,而活化熵是一个影响权重更大的因素.活化熵变化的本质是由β-烷基引起的相对构型无序造成的.     

数值法确定化学反应速度常数(Ⅰ)——数值法求曲线斜率的方法

本文介绍一种数值法求曲线斜率的方法。在由实验所得的曲线(f(x))上任意点M两侧以△X间距取点,求得△f(x)/△X,然后以△f(x)/△X对△X作图,得一平滑曲线,当△X=0时所对应的△f(x)/△X即为M点的斜率,该方法计算简便相对误差<1％。     

关于概率多项式时间谱系的一些结果

研究概率多项式时间谱系的结构性质,证明了:(1)如果BP∑_(k+1)~pBP∑_k~P,则PH=BP∑∏_K~P;(2)如果BP∑_k~PBP∏_k~P,则;PH=BP∑_K~PP;(3)对任意n,k≥0,BP∑_K~P(BP∑_n~P)=BP∑_(n+k)~p,BP∑_n~P(BP△_(k+1)~P)=BP∑_(n+k)~n;(4)对任意n,k≥1,BP∑_n~P(BP∑_k~p∩BP∏_k~P)=BP∑_(n+k-1)~P这些结果说明概率多项式时间谱系与多项式时间谱系有相同的结构性盾,但也有差别.     

LROTH''''S THEOREM IN DIFFERENTIAL FIELDS

In this paper, we present a constructive proof of Luroth's theorem in differential case. We also give a method to find the inversion maps for general differential rational parametric equations. As a consequence, we prove that a differential rational curve always has a set of proper parametric equations.     

Optimal Polygonal Approximation of Digital Planar Curves Using Genetic Algorithm and Tabu Search

Three heuristic algorithms for optimal polygonal approximation of digital planar curves is presented.With Genetic Algorithm (GA), improved Genetic Algorithm (IGA) based on Pareto optimal solution and Tabu Search (TS), a near optimal polygonal approximation was obtained.Compared to the famous Teh-chin algorithm, our algorithms have obtained the approximated polygons with less number of vertices and less approximation error.Compared to the dynamic programming algorithm, the processing time of our algorithms are much less expensive.     

三维振动轨迹曲线演示方法

在传统的振动与波动学教学中,只能通过机械装置对个别振动与波动现象进行演示.利用Mathematica软件,结合计算机系统的图像和声音处理能力,可以直观地显示各种振动与波动时空曲线及轨迹曲线,并能输出任意振动方程对应的声振动(声音),全面突破传统教学手段的局限.     

MAI 集成气体传感器在鉴酒中的应用

采用美国ＭＡＩ公司的一种集成气体传感器做实验，利用气体传感器对酒的气味独特的响应曲线，把标准酒的响应曲线，预先存入图象识别电路或计算机的存储器中，再把要鉴别酒的响应曲线与之相比较，就可以鉴别出酒的种类和质量。本实验装置简单，加适当偏置和选择不同的输出组合，就可以得到满意的鉴酒效果，从而预示了这种传感器的应用前景。     

Forecasting of electricity price through a functional prediction of sale and purchase curves

This work proposes a new approach for the prediction of the electricity price based on forecasting aggregated purchase and sale curves. The basic idea is to model the hourly purchase and the sale curves, to predict them and to find the intersection of the predicted curves in order to obtain the predicted equilibrium market price and volume. Modeling and forecasting of purchase and sale curves is performed by means of functional data analysis methods. More specifically, parametric (FAR) and nonparametric (NPFAR) functional autoregressive models are considered and compared to some benchmarks. An appealing feature of the functional approach is that, unlike other methods, it provides insights into the sale and purchase mechanism connected with the price and demand formation process and can therefore be used for the optimization of bidding strategies. An application to the Italian electricity market (IPEX) is also provided, showing that NPFAR models lead to a statistically significant improvement in the forecasting accuracy.     

一种新型高效率振冲器结构的设计及动态性能研究

通过对振冲器的工作机理进行分析,提出了一种新型电机-质量块横向布局的振冲器结构,并绘制了能量在新旧振冲器不同位置的分布曲线、能量分布曲线证明了新型结构的合理功率利用。此外,通过理论公式对新旧结构振冲器顶尖的谐响应振幅进行了对比,并从能量分布、振冲器体承受扭矩等方面进行了比较分析。最后,利用计算机进行仿真建模、动特性分析比较,得出了可供参考的具体数据。     

曲线投射与相似变换

以平行、相似、同向的曲线为投射线,运用相似变换,可不画投射曲线的投影,能图解传统方法不能解决的任意曲母线曲面的截交线和相贯线。由于不画辅助曲线,从而提高了图解效率和精度。