设X={X(t),t∈RN+}为以d×d可逆矩阵B为指数的N指标Rd值算子稳定Lévy过程,讨论了X在R+N的子区域上的像集Hausdorff维数问题,证明了dim X([1,2]N)=min{d,αkN+sum from j=1 to k dj(1-αk/αj),k=1,…,p},a.s.,其中α1>α2&...设X={X(t),t∈RN+}为以d×d可逆矩阵B为指数的N指标Rd值算子稳定Lévy过程,讨论了X在R+N的子区域上的像集Hausdorff维数问题,证明了dim X([1,2]N)=min{d,αkN+sum from j=1 to k dj(1-αk/αj),k=1,…,p},a.s.,其中α1>α2>…>αp为B的p个不同的特征值实部的倒数,d1,…,dp分别为它们所对应子空间的维数.该结论表明X在R+N的子区域上像集Hausdorff维数完全由B的特征值的实部来确定.展开更多
Magnetism and the stability of (Ga 1-xFe x)As are investigated using the first principles LMTO-ASA band calculation by assuming supercell structures.Four concentrations of the 3d impurities are studied (x=1,1/2,1/...Magnetism and the stability of (Ga 1-xFe x)As are investigated using the first principles LMTO-ASA band calculation by assuming supercell structures.Four concentrations of the 3d impurities are studied (x=1,1/2,1/4,and 1/8).The results show the effect of varying Fe concentration on the magnetic and stable properties.展开更多
In the paper, we study the stability of Hilbert space generalized frames under perturbations. We get some results that are in spirit close to classical results for discrete frames, due to OLE Christensen.
An algorithm using fixed-lag smooth filtering to improve the precision of EIS algorithm is presented in this paper. Ftrstly, gray projection algorithm （GPA） is used to calculate the interframe global motion vectors....An algorithm using fixed-lag smooth filtering to improve the precision of EIS algorithm is presented in this paper. Ftrstly, gray projection algorithm （GPA） is used to calculate the interframe global motion vectors. Secondly, the fixed-lag smooth filter is used to smoothen the motion track of the original video sequence, according to different motion models. At last, the original sequence is compensated by using the compensation vectors calculated from filtering. This algorithm has been proved superior in filtering precision by experiments of video sequences in different motion scenes. This algorithm also satisfies the real-time request.展开更多
The structural stabilities and electronic structures of Ga atomic chains are studied by the first-principles plane wave pseudopotential method based on the density functional theory. The present calculations show that...The structural stabilities and electronic structures of Ga atomic chains are studied by the first-principles plane wave pseudopotential method based on the density functional theory. The present calculations show that gallium can form planar chains in linear-, zigzag- and ladder-form one-dimensional structures. The most stable one among the studied structures is the zigzag chain with a unit cell rather close to equilateral triangles with four nearest neighbors, and all the other structures are metastable. The relative structural stability, the energy bands and the charge densities are discussed based on the ab initio calculations and the Jahn-Teller effect.展开更多
文摘设X={X(t),t∈RN+}为以d×d可逆矩阵B为指数的N指标Rd值算子稳定Lévy过程,讨论了X在R+N的子区域上的像集Hausdorff维数问题,证明了dim X([1,2]N)=min{d,αkN+sum from j=1 to k dj(1-αk/αj),k=1,…,p},a.s.,其中α1>α2>…>αp为B的p个不同的特征值实部的倒数,d1,…,dp分别为它们所对应子空间的维数.该结论表明X在R+N的子区域上像集Hausdorff维数完全由B的特征值的实部来确定.
基金supported by the National Natural Science Foundation of China(Grant No.11601083)the Program for Probability and Statistics:Theory and Application(Grant No.IRTL1704)the Program for Innovative Research Team in Science and Technology in Fujian Province University(IRTSTFJ)
文摘Magnetism and the stability of (Ga 1-xFe x)As are investigated using the first principles LMTO-ASA band calculation by assuming supercell structures.Four concentrations of the 3d impurities are studied (x=1,1/2,1/4,and 1/8).The results show the effect of varying Fe concentration on the magnetic and stable properties.
文摘In the paper, we study the stability of Hilbert space generalized frames under perturbations. We get some results that are in spirit close to classical results for discrete frames, due to OLE Christensen.
文摘An algorithm using fixed-lag smooth filtering to improve the precision of EIS algorithm is presented in this paper. Ftrstly, gray projection algorithm （GPA） is used to calculate the interframe global motion vectors. Secondly, the fixed-lag smooth filter is used to smoothen the motion track of the original video sequence, according to different motion models. At last, the original sequence is compensated by using the compensation vectors calculated from filtering. This algorithm has been proved superior in filtering precision by experiments of video sequences in different motion scenes. This algorithm also satisfies the real-time request.
基金ACKN0WLEDGMENT This work was supported by the National Natural Science Foundation of China （No.10374076） and the Natural Science Foundation of Fujian Province （No.E0320001）.
文摘The structural stabilities and electronic structures of Ga atomic chains are studied by the first-principles plane wave pseudopotential method based on the density functional theory. The present calculations show that gallium can form planar chains in linear-, zigzag- and ladder-form one-dimensional structures. The most stable one among the studied structures is the zigzag chain with a unit cell rather close to equilateral triangles with four nearest neighbors, and all the other structures are metastable. The relative structural stability, the energy bands and the charge densities are discussed based on the ab initio calculations and the Jahn-Teller effect.
