The paper demonstrates deep unity of classic and quantum physics at the space thermostat (ST) presence, which fulfilled all space by the temperature T0 = 2.73 K. The ST presents itself the Cosmic Microwave Background ...The paper demonstrates deep unity of classic and quantum physics at the space thermostat (ST) presence, which fulfilled all space by the temperature T0 = 2.73 K. The ST presents itself the Cosmic Microwave Background (CMB). From the main quantum position we consider the ST/CMB as the wave function carrier (“quantum background”). The paper is devoted to ST/CMB medium the classic conservation laws of mass, momentum and energy. We show the soliton like solutions of our classic model correspond to Schrodinger’s quantum solutions, demonstrate the atom hydrogen specter and other quantum peculiarities. The paper contains typical technical examples classic/ quantum simulation at the ST presence.展开更多
In 2000, Wu and Gong [1] introduced the thought of the Henstock integrals of inter-valvalued functions and fuzzy-number-valued functions and obtained a number of their properties. The aim of this paper is to introduce...In 2000, Wu and Gong [1] introduced the thought of the Henstock integrals of inter-valvalued functions and fuzzy-number-valued functions and obtained a number of their properties. The aim of this paper is to introduce the thought of the AP- Henstock integrals of interval-valued functions and fuzzy-number-valued functions which are extensions of [1] and investigate a number of their properties.展开更多
In this paper, we introduce weighted vector-valued Morrey spaces and obtain some estimates for vector-valued commutators on these spaces. Applications to CalderSn-Zygmund singular integral operators, oscillatory singu...In this paper, we introduce weighted vector-valued Morrey spaces and obtain some estimates for vector-valued commutators on these spaces. Applications to CalderSn-Zygmund singular integral operators, oscillatory singular integral operators and parabolic difference equations are considered.展开更多
为了解决张量鲁棒主成分分析(tensor robust principal component analysis,TRPCA)还原低秩结构时同等收缩奇异值造成的信息提取偏差问题,本文考虑区别对待奇异值,使用非凸加权张量Schatten-p范数(0<p<1)分析张量数据,可减少对奇...为了解决张量鲁棒主成分分析(tensor robust principal component analysis,TRPCA)还原低秩结构时同等收缩奇异值造成的信息提取偏差问题,本文考虑区别对待奇异值,使用非凸加权张量Schatten-p范数(0<p<1)分析张量数据,可减少对奇异值的惩罚。为解决数据受损严重难以恢复的问题,提出低秩预分离的方法实现近似低秩部分和近似稀疏部分的预先分离;为增强高阶张量之间相关性同时降低数据对特定噪声的敏感性,提出随机抖动正则器的机制对预分离后成分分别选取随机区域优化,利用噪声信息的随机性来正则化算法得以约束模型的复杂度;最后使用不同类型的图像数据集,包括彩色图像、核磁共振图像、高光谱及多光谱图像和灰度视频,进行高维数据恢复实验。结果表明该方法在图像恢复性能上明显优于其他TRPCA方法,并且在数据受损严重时同样具有优势,有效提取主成分信息的同时减小数据对特定噪声的依赖,具有较强的鲁棒性和适应性,可为TRPCA方法在图像恢复领域中提供参考。展开更多
文摘The paper demonstrates deep unity of classic and quantum physics at the space thermostat (ST) presence, which fulfilled all space by the temperature T0 = 2.73 K. The ST presents itself the Cosmic Microwave Background (CMB). From the main quantum position we consider the ST/CMB as the wave function carrier (“quantum background”). The paper is devoted to ST/CMB medium the classic conservation laws of mass, momentum and energy. We show the soliton like solutions of our classic model correspond to Schrodinger’s quantum solutions, demonstrate the atom hydrogen specter and other quantum peculiarities. The paper contains typical technical examples classic/ quantum simulation at the ST presence.
文摘In 2000, Wu and Gong [1] introduced the thought of the Henstock integrals of inter-valvalued functions and fuzzy-number-valued functions and obtained a number of their properties. The aim of this paper is to introduce the thought of the AP- Henstock integrals of interval-valued functions and fuzzy-number-valued functions which are extensions of [1] and investigate a number of their properties.
基金Supported by National Natural Science Foundation of China(Grant Nos.10901076and11271175)National Natural Science Foundation of Shandong Province(Grant No.ZR2012AQ026)the Key Laboratory of Mathematics and Complex System (Beijing Normal University),Ministry of Education,China
文摘In this paper, we introduce weighted vector-valued Morrey spaces and obtain some estimates for vector-valued commutators on these spaces. Applications to CalderSn-Zygmund singular integral operators, oscillatory singular integral operators and parabolic difference equations are considered.
文摘为了解决张量鲁棒主成分分析(tensor robust principal component analysis,TRPCA)还原低秩结构时同等收缩奇异值造成的信息提取偏差问题,本文考虑区别对待奇异值,使用非凸加权张量Schatten-p范数(0<p<1)分析张量数据,可减少对奇异值的惩罚。为解决数据受损严重难以恢复的问题,提出低秩预分离的方法实现近似低秩部分和近似稀疏部分的预先分离;为增强高阶张量之间相关性同时降低数据对特定噪声的敏感性,提出随机抖动正则器的机制对预分离后成分分别选取随机区域优化,利用噪声信息的随机性来正则化算法得以约束模型的复杂度;最后使用不同类型的图像数据集,包括彩色图像、核磁共振图像、高光谱及多光谱图像和灰度视频,进行高维数据恢复实验。结果表明该方法在图像恢复性能上明显优于其他TRPCA方法,并且在数据受损严重时同样具有优势,有效提取主成分信息的同时减小数据对特定噪声的依赖,具有较强的鲁棒性和适应性,可为TRPCA方法在图像恢复领域中提供参考。
