实时直接分析-串联质谱法快速筛查火锅底料、牛肉面汤及调味料中罂粟壳生物碱

建立了采用实时直接分析-串联质谱(DART-MS/MS)对火锅底料、牛肉面汤及调味料中5种非法添加的罂粟壳生物碱进行快速筛查的方法。样品经乙腈提取净化后,在离子化温度为300℃、栅极电压为150 V、进样速率为0.8 m m/s的DART离子源正离子模式条件下进样,以电喷雾离子源正离子多反应监测(MRM)模式进行检测,实现了样品经简单预处理后使用DART-MS/MS进行检测的新方法。该方法简便、快速,能满足大批量非法添加样品的快速筛查分析要求。     

基于真实情境的初中化学微项目教学实践与反思*——以“溶液的形成”为例

以“溶液的形成”为例进行微项目教学实践,选择学生熟悉的护手霜为主题情境,巧妙设计了“原料分散”“微观探秘”“辨识活动”“对比实验”“感知乳化”等系列微项目活动,通过情境不断地设置认知冲突,引导学生反思、修正并最终形成更完善的概念,在环环相扣的探究活动中使学生自主建构结构化的知识。通过制作“护手霜”将“溶解”和“乳化”串联,感知溶液,感受乳化,感悟人与自然、社会的和谐、可持续发展。     

Applying Hybrid ARIMA-SGARCH in Algorithmic Investment Strategies on S&P500 Index

This research aims to compare the performance of ARIMA as a linear model with that of the combination of ARIMA and GARCH family models to forecast S&P500 log returns in order to construct algorithmic investment strategies on this index. We used the data collected from Yahoo Finance with daily frequency for the period from 1 January 2000 to 31 December 2019. By using a rolling window approach, we compared ARIMA with the hybrid models to examine whether hybrid ARIMA-SGARCH and ARIMA-EGARCH can really reflect the specific time-series characteristics and have better predictive power than the simple ARIMA model. In order to assess the precision and quality of these models in forecasting, we compared their equity lines, their forecasting error metrics (MAE, MAPE, RMSE, MAPE), and their performance metrics (annualized return compounded, annualized standard deviation, maximum drawdown, information ratio, and adjusted information ratio). The main contribution of this research is to show that the hybrid models outperform ARIMA and the benchmark (Buy&Hold strategy on S&P500 index) over the long term. These results are not sensitive to varying window sizes, the type of distribution, and the type of the GARCH model.     

基于GARCH方法研究非效率投资中金融冲击的影响机理

代理理论认为,在动荡和不确定环境下,管理者会做出偏离企业价值最大化的非效率投资行为。为探究金融冲击这个带有不确定色彩的因素,是否会恶化企业非效率投资行为,论文先是使用一个数学模型来说明金融冲击与非效率投资的可能关系,而后以GARCH方法的条件异方差来度量金融冲击的潜变量股市冲击、货币冲击和汇率冲击。最后,实证检验了这三个金融冲击潜变量和非效率投资的关系。研究发现:货币冲击和汇率冲击会显著提升非效率投资,而股市冲击能够显著降低非效率投资。进一步研究表明,货币冲击和汇率冲击会通过显著增加过度投资来加大非效率投资行为,而股市冲击则通过显著减少投资不足来达到降低非效率投资行为。     

矩阵的广义特征值及特征向量的神经网络方法

矩阵特征值及特征向量计算在实际问题中有广泛的应用.应用神经网络方法来计算广义特征值及对应的特征向量,给出了相应的算法,并对给出的算法在数学上进行了严格证明.并用实例验证了其正确性.     

非牛顿幂律流体有界双重介质渗流模型实空间解析解与样版曲线

在前人工作的基础上,建立了非牛顿幂律流体有界双重介质试井模型.根据模型的特点,提出了相应的特征值问题,求出了特征值和特征函数.定义了油层压力关于空间变量的正交积分变换.根据特征函数系的完备正交性和矩阵微分方程理论,获得了油层压力分布以及井底压力,压力导数的实空间解析解(无穷级数形式).首次直接根据实空间解析解绘制了样版曲线,并在同一张双对数坐标纸上描出拉普拉斯方法制作的样版曲线,同时给出二者间的误差走势图.通过对比分析发现,随着级数项数的增大,根据解析解制作的样版曲线逐渐逼近拉普拉斯方法制作的样版曲线.新疆油田实例证实了该方法的有效性.研究结果进一步补充,完善了试井分析理论.     

超实数系统及其一致连续问题

基于模型论的观点与方法介绍超实数系统的构造及其公理体系,以说明非标准分析.由于超实数系统是普通实数系统的一个真扩张,所以,实数系统中的一致连续问题可推广至超实数系统.     

Rapid determination of ginkgolic acids in Ginkgo biloba kernels and leaves by direct analysis in real time‐mass spectrometry

A novel method based on direct analysis in real time integrated with mass spectrometry was established and applied into rapid determination of ginkgolic acids in Ginkgo biloba kernels and leaves. Instrument parameter settings were optimized to obtain the sensitive and accurate determination of ginkgolic acids. At the sample introduction speed of 0.2 mm/s, high intensity of [M–H]^– ions for ginkgolic acids were observed in the negative ion mode by utilization of high‐purity helium gas at 450°C. Two microliters of methanol extract of G. biloba kernels or leaves dropped on the surface of Quick‐Strip module was analyzed after solvent evaporated to dryness. A series of standard solutions of ginkgolic acid 13:0 in the range of 2–50 mg/L were analyzed with a correlation coefficient r  = 0.9981 and relative standard deviation (n  = 5) from 12.5 to 13.7%. The limit of detection was 0.5 mg/L. The results of direct analysis in real time‐mass spectrometry were in agreement with those observed by thermochemolysis gas chromatography. The proposed method demonstrated significant potential in the application of the high‐throughput screening and rapid analysis for ginkgolic acids in dietary supplements.     

带交易费用的可数无限态两期经济的均衡存在性

To some two-period economies with countable infinite state spaces,the existence of expectation equilibrium of real asset economies with transaction costs is given. This work extends the researches of Zame in 1993.