Third order three-dimensional symmetric and traceless tensors play an important role in physics and tensor representation theory. A minimal integrity basis of a third order three-dimensional symmetric and traceless te...Third order three-dimensional symmetric and traceless tensors play an important role in physics and tensor representation theory. A minimal integrity basis of a third order three-dimensional symmetric and traceless tensor has four invariants with degrees two, four, six, and ten, respectively. In this paper, we show that any minimal integrity basis of a third order three-dimensional symmetric and traceless tensor is also an irreducible function basis of that tensor, and there is no syzygy relation among the four invariants of that basis, i.e., these four invariants are algebraically independent.展开更多
电池储能在当前能源结构中有着至关重要的作用,其荷电状态(state of charge,SOC)的准确预估是电池管理系统工作的前提。通过在MATLAB/Simulink中建立电池的Thevenin模型,并经过实验获得SOC与开路电压之间的关系,对扩展卡尔曼滤波(extend...电池储能在当前能源结构中有着至关重要的作用,其荷电状态(state of charge,SOC)的准确预估是电池管理系统工作的前提。通过在MATLAB/Simulink中建立电池的Thevenin模型,并经过实验获得SOC与开路电压之间的关系,对扩展卡尔曼滤波(extended Kalman filter,EKF)算法、无迹卡尔曼滤波(unscented Kalman filter,UKF)算法进行了分析与模型的搭建,在实际工况输入下进行了SOC预估并与真实值进行了对比分析。最后,依据对EKF、UKF算法仿真结果的分析,提出了联合EKF-UKF算法,即初始阶段采用收敛速度快的EKF算法,之后采用误差低的UKF算法求取SOC值,仿真结果表明该算法能够有效提升SOC预估过程中稳定性。展开更多
N-p-Hydroxybenzoyl-N′-aryl-ureas(Ⅶ) were prepared in CH 2Cl 2 or DMF using oxalyl chloride as traceless linker and poly(ethylene glycol) as soluble polymer support with yields of 65%～77%. The reaction process was r...N-p-Hydroxybenzoyl-N′-aryl-ureas(Ⅶ) were prepared in CH 2Cl 2 or DMF using oxalyl chloride as traceless linker and poly(ethylene glycol) as soluble polymer support with yields of 65%～77%. The reaction process was readily monitored by conventional analytic way. It was easy in work-up.展开更多
基金National Natural Science Foundation of China (Grant Nos. 1177132& 11771405, 1157117& 11372124)Hong Kong Research Grant Council (Grant Nos. PolyU 15302114, 15300715, 15301716, 15300717).
文摘Third order three-dimensional symmetric and traceless tensors play an important role in physics and tensor representation theory. A minimal integrity basis of a third order three-dimensional symmetric and traceless tensor has four invariants with degrees two, four, six, and ten, respectively. In this paper, we show that any minimal integrity basis of a third order three-dimensional symmetric and traceless tensor is also an irreducible function basis of that tensor, and there is no syzygy relation among the four invariants of that basis, i.e., these four invariants are algebraically independent.
文摘N-p-Hydroxybenzoyl-N′-aryl-ureas(Ⅶ) were prepared in CH 2Cl 2 or DMF using oxalyl chloride as traceless linker and poly(ethylene glycol) as soluble polymer support with yields of 65%～77%. The reaction process was readily monitored by conventional analytic way. It was easy in work-up.
