张量广义特征值的S-型包含区域

设{A,B}为m阶n维正则张量对,通过将指标集N={1,2,…,n}划分为非空真子集S及其补集S珚=N/S,利用分类讨论的思想以及张量对{A,B}某些元素选取的任意性和不等式缩放技巧,解决了张量对{A,B}的特征值定位问题,并给出张量对{A,B}特征值的S-型包含区域.数值结果表明,所得包含区域比已有包含区域更精确.     

Combining multivariate volatility forecasts using weighted losses

The ability to improve out-of-sample forecasting performance by combining forecasts is well established in the literature. This paper advances this literature in the area of multivariate volatility forecasts by developing two combination weighting schemes that exploit volatility persistence to emphasise certain losses within the combination estimation period. A comprehensive empirical analysis of the out-of-sample forecast performance across varying dimensions, loss functions, sub-samples and forecast horizons show that new approaches significantly outperform their counterparts in terms of statistical accuracy. Within the financial applications considered, significant benefits from combination forecasts relative to the individual candidate models are observed. Although the more sophisticated combination approaches consistently rank higher relative to the equally weighted approach, their performance is statistically indistinguishable given the relatively low power of these loss functions. Finally, within the applications, further analysis highlights how combination forecasts dramatically reduce the variability in the parameter of interest, namely the portfolio weight or beta.     

单取代1,3-[2H,4H]-异喹啉二酮的合成

四氢异喹啉类生物碱在自然界分布广泛且活性多样,使得这一结构成为有机合成的热点,然而在众多的有机合成方法学中,绝大多数报道都是围绕着四氢异喹啉C-1位的官能团化,对C-4位活化的方法较少,本文从1,3-[2H,4H]-异喹啉二酮出发经过两步反应即可得到4-取代的1,3-[2H,4H]-异喹啉二酮,并以1HNMR,13CNMR和HRMS确定其化学结构。产物1,3-[2H,4H]-异喹啉二酮可以根据文献报道方法得到4-取代四氢异喹啉化合物,为4-取代的四氢异喹啉类化合物的合成提供了一条便捷的路径。     

基于广义梯形模糊数相似度的交叉效率集结

在不确定环境下,针对模糊数据的多样性和复杂性,本文结合广义梯形模糊数相似度理论将广义梯形模糊数的交叉效率矩阵转换为交叉互评相似度矩阵,并根据模糊信息检索系统中的布尔模型,以能最大程度还原信息本身为准则,构建满足"正相容性"的有序几何平均集结函数对交叉互评相似度矩阵进行集结,从而得到关于每个决策单元的同行评价综合相似度.根据决策单元的同行评价综合相似度,建立反映决策者偏好的模糊一致性偏好矩阵,并对决策单元进行集结权重的分配,根据分配结果计算决策单元的全局交叉效率值.本文的集结方法可以解决不确定环境下,交叉效率矩阵数据多样性的问题,有较高的适用性;并且其集结结果具有较高的一致性和稳定性.最后本文以梯形模糊数的交叉效率矩阵为算例,来说明该方法的合理性和适用性.     

基于粗糙集和证据理论的设备状态评估方法

为准确判定复杂设备健康状态，提出一种基于粗糙集理论和证据理论的健康状态评估方法。鉴于粗糙集只能处理离散指标，首先提出一种基于动态模糊C-均值聚类算法的连续型评估指标的离散化方法；再通过基于互信息的属性约简算法对复杂设备健康状态评估指标进行约简；然后对约简的评估决策表进行处理，构建基本信度分配函数；最后利用D-S合成规则进行多指标合成得到健康状态，进一步挖掘评估指标与健康状态间的关系。实例研究及对比分析表明该方法能有效提高决策可信度，减少评估的不确定性。     

张量伪谱的新包含域

张量伪谱可以看成是矩阵伪谱的推广,它在齐次动力系统中有着重要的作用.对张量伪谱圆盘定理进一步研究.利用张量伪谱中特征向量的最大元,给出了张量伪谱的新包含域.数值例子验证了结果的有效性.     

Processing and characterization of the microstructure and mechanical properties of Al6061–TiB2 composite

In the present research, aluminum metal matrix composites were processed by the stir casting technique. The effects of TiB2 rein-forcement particles, severe plastic deformation through accumulative roll bonding (ARB), and aging treatment on the microstructural charac-teristics and mechanical properties were also evaluated. Uniaxial tensile tests and microhardness measurements were conducted, and the micro-structural characteristics were investigated. Notably, the important problems associated with cast samples, including nonuniformity of the rein-forcement particles and high porosity content, were solved through the ARB process. At the initial stage, particle-free zones, as well as particle clusters, were observed on the microstructure of the composite. However, after the ARB process, fracturing phenomena occurred in brittle ceramic particles, followed by breaking down of the fragments into fine particles as the number of rolling cycles increased. Subsequently, com-posites with a uniform distribution of particles were produced. Moreover, the tensile strength and microhardness of the ARB-processed com-posites increased with the increase in the reinforcement mass fraction. However, their ductility exhibited a different trend. With post-deforma-tion aging treatment (T6), the mechanical properties of composites were improved because of the formation of fine Mg2Si precipitates.     

Hom-Jordan李超代数的交换扩张

先利用Hom-Jordan李超代数T的表示和上同调理论, 给出构造Hom-Jordan李超代数TV的充分必要条件, 并证明Hom-Jordan李超代数的等价交换扩张可给出相同的表示; 然后通过表示和交换扩张得到2-上圈.