Professor Kung-Ching Chang （Zhang Gongqing） is an outstanding figure in contemporary Chinese mathematics. He made fundamental contributions to the study of PDEs with discontinuous nonlinearities and that of Harmonic...Professor Kung-Ching Chang （Zhang Gongqing） is an outstanding figure in contemporary Chinese mathematics. He made fundamental contributions to the study of PDEs with discontinuous nonlinearities and that of Harmonic Maps and Minimal Surfaces. He is a leading world expert in studying Infinite-dimensional Morse Theory. Born in the middle of messy wars, and educated at a time when China was going through traumatic modern transformations, Chang overcame unimaginable difficulties to achieve as not only a deep and influential mathematician, but also an admirable human being. He has spent a lifetime on his beloved field of mathematics and has become a source of inspiration for several generations of Chinese mathematicians.展开更多
By making use of the classification of real simple Lie algebra, we get the maximum of the squared length of restricted roots case by case, and thus get the upper bounds of sectional curvature for irreducible Riemannia...By making use of the classification of real simple Lie algebra, we get the maximum of the squared length of restricted roots case by case, and thus get the upper bounds of sectional curvature for irreducible Riemannian symmetric spaces of compact type. As an application, this paper verifies Sampson＇s conjecture in most cases for irreducible Riemannian symmetric spaces of noncompact type.展开更多
Rafael C. Gnzalez has mentioned an algorithm on adaptive local noise elimination filter in the book named Digital Image Processing. This paper points out the algorithm＇s deficiency and presents an improved harmonic m...Rafael C. Gnzalez has mentioned an algorithm on adaptive local noise elimination filter in the book named Digital Image Processing. This paper points out the algorithm＇s deficiency and presents an improved harmonic mean filter algorithm which makes mean square error emse cutting quarter but SNR, SNPm and PSNR increasing a tenth more than original algorithm. This filter algorithm is verified to be effective by simulation experiment.展开更多
文摘Professor Kung-Ching Chang （Zhang Gongqing） is an outstanding figure in contemporary Chinese mathematics. He made fundamental contributions to the study of PDEs with discontinuous nonlinearities and that of Harmonic Maps and Minimal Surfaces. He is a leading world expert in studying Infinite-dimensional Morse Theory. Born in the middle of messy wars, and educated at a time when China was going through traumatic modern transformations, Chang overcame unimaginable difficulties to achieve as not only a deep and influential mathematician, but also an admirable human being. He has spent a lifetime on his beloved field of mathematics and has become a source of inspiration for several generations of Chinese mathematicians.
文摘By making use of the classification of real simple Lie algebra, we get the maximum of the squared length of restricted roots case by case, and thus get the upper bounds of sectional curvature for irreducible Riemannian symmetric spaces of compact type. As an application, this paper verifies Sampson＇s conjecture in most cases for irreducible Riemannian symmetric spaces of noncompact type.
基金This project is supported by National Natural Science Foundation of China （60473024） and the Natural Science Foundation of Zhejiang Province（603009）..
文摘Rafael C. Gnzalez has mentioned an algorithm on adaptive local noise elimination filter in the book named Digital Image Processing. This paper points out the algorithm＇s deficiency and presents an improved harmonic mean filter algorithm which makes mean square error emse cutting quarter but SNR, SNPm and PSNR increasing a tenth more than original algorithm. This filter algorithm is verified to be effective by simulation experiment.
