Semiparametric spatio‐temporal analysis of regional GDP growth with respect to renewable energy consumption levels

This article evaluates the impact of renewable energy consumption levels on GDP growth. Renewable energy sources may be significantly more costly as compared to classical (fossil) sources. Hence, high relative proportion of renewable energy has the potential of obstructing economic growth. On the other hand, in developed countries, renewable energy adoption processes are often subject to prominent state‐level incentives, administrative ingerence, and fiscal subsidies. For stratified and unbiased evaluation of the overall effect of renewables on GDP, this article applies a spatio‐temporal analysis of GDP growth at the regional NUTS2 level in a conveniently selected group of 11 spatially adjacent yet heterogeneous EU member states. As macroeconomic covariates are controlled for, along with spatial and temporal interdependencies, there is no sign of negative impact of renewable energy consumption on GDP growth. While the estimated overall effect is positive and statistically significant, its economic significance is small. Yet, given the data and economies considered, we may conclude that renewable energy consumption does not exert negative influence on economic growth rates.     

三对角矩阵的特征值及其应用

给出了计算一种三对角矩阵的特征值和特征向量的公式.利用矩阵的特征值理论证明了一些三角恒等式,特别是一些与Fibonacci数和第二类Chebyshev多项式有关的三角恒等式.     

非线性漂移的Fokker-Planck方程的近似非定态解

研究了由高斯白噪声和色噪声作用下的非线性动力学系统的不稳定态演化问题. 在弱噪声极限下, 运用本征值本征矢理论得到了非定态解ρ(x, t)的近似表达式; 分析了色噪声自关联时间τ, 强度α对ρ(x, t)以及对一、二阶矩的影响. 数值模拟发现: 1)t在一定范围内, ρ(x, t)是变量x和t的单调函数, 且随τ的增大而增大, 反之, 随α的增大而减小; 2)一阶矩是τ和α的单调函数, 但二阶矩却是非单调函数, 在参数影响下发生了相变现象. 关键词： 奥恩斯坦-乌伦贝克过程 本征值 本征矢 非定态解     

A note on reverse derivations

In this note, the notion of reverse derivation is studied. It is shown that in the class of semiprime rings, this notion coincides with the usual derivation when it maps a semiprime ring into its centre. However, we provide some examples to show that it is not the case in general.     

基于特征矢量的NLOS误差检测的定位算法

最小二乘估计算法常用于基于测距的源定位,然而,当移动基站与基站间呈非视距(Non Line of Sight, NLOS)路径时,最小二乘估计算法无法提供理想的定位精度。为了克服此问题,研究人员提出多类算法识别并消除NLOS误差。然而,现存的算法存在高运行时间的开销问题。为此,提出基于特征矢量的NLOS误差检测的定位 (Eigenvector-Based NLOS Error Identification Localization, E-NIL) 算法。E-NIL算法先利用基于测距数据的统计特性识别NLOS误差,然后,将NLOS误差看成确定加性噪声项,再利用误差函数与它的特征矢量间的互相关,寻找NLOS误差值。最后,再删除这些NLOS项,并依据这些无NLOS误差的数据估计移动基站的位置。实验数据表明,提出的E-NIL算法在定位精度和复杂度方面优于同类算法。     

基于支持向量机数据分析红外手势识别方法研究

该文提出了利用支持向量机结合仿生六点手势模型优化红外体感控制设备手势识别的方法。采集空间手势信息,仿生六点手势模型提取手势特征向量,利用支持向量机分类及校对数据,引用核函数将低维空间不可分信息映射至高维空间实现线性可分。结果表明,运用基于支持向量机的红外体感设备手势方法能有效识别手势,减轻计算机通信的传输负荷。     

特征值反问题的唯一性

证明了由特征值及特征向量反求矩阵时,特征值在对角矩阵中的排序可以是任意的,只须将对应特征向量作相应排序,所得矩阵唯一。对于重特征值的线性无关的特征向量可任意选取,所得矩阵唯一。     

满足AB=αBA的方阵A,B和AB的特征值的性质及其联系

设m阶方阵A,B满足AB=αBA,其中α=e~(2kπi/n),k,n为互素整数且n≥2.证明了σ(AB)■{α~(j-((n-1)/2))λ_AλB|λA∈σ(A),λB∈σ(B),j=0,1,…,n-1}及其它相关的结果,其中σ(A)表示方阵A的所有特征值的集合.