Having just arrived in Beijing from crowded Seoul, I am impressed with the provision and variety given the provision and variety given to public spaces here.
In this note,we define a new kind of spaces TF of Triebel-Lizorkin type and characterize it via sequence space lp Also a Fourier multiplier theorem is established in this new spaces TFpaq
By introducing the notions of L-spaces and L_r-spaces, a complete generalization of Kalton's closed graph theorem is obtained. It points out the class of L_r-spaces is the maximal class of range spaces for the clo...By introducing the notions of L-spaces and L_r-spaces, a complete generalization of Kalton's closed graph theorem is obtained. It points out the class of L_r-spaces is the maximal class of range spaces for the closed graph theorem when the class of domain spaces is the class of Mackey spaces with weakly * sequentially complete dual.Some examples are constructed showing that the class of L_r-spaces is strictly larger than the class of separable B_r-complete spaces.Some properties of L-spaces and L_r-spaces are discussed and the relations between B-complete (resp. B_r-complete) spaces and L-spaces (resp. L_r-spaces) are given.展开更多
From a strategic perspective,the paper presents a forward-looking thinking supported by interdisciplinary of modern logistics,estuary and coast,environment and ecology,economic management and mathematical statistics. ...From a strategic perspective,the paper presents a forward-looking thinking supported by interdisciplinary of modern logistics,estuary and coast,environment and ecology,economic management and mathematical statistics. It leads to a reasonable solution to space expansion by reclamation. Construction of new deepwater terminal is the best usage of land resources and can strengthen the status of Shanghai as an international shipping center,thus support the preparation and strategic decision of future urban development of Shanghai.展开更多
This paper discusses the urgency to further develop China’s space technological industry;analyzes the gaps between China and other advanced countries in space industry,including technological level,development scale,...This paper discusses the urgency to further develop China’s space technological industry;analyzes the gaps between China and other advanced countries in space industry,including technological level,development scale,application scope and investment;describes the current severe situation that the China’s space industry is faced with and proposes the overall objective,guiding principles and major tasks of China’s space technological sector in the Ninth-Five Year Plan and the coming decade.Finally,it proposes some policies and effective measures to speed up the development of China’s space industry to meet the challenge in the 21st century.展开更多
In this article,we propose a new finite element spaceΛh for the expanded mixed finite element method(EMFEM)for second-order elliptic problems to guarantee its computing capability and reduce the computation cost.The ...In this article,we propose a new finite element spaceΛh for the expanded mixed finite element method(EMFEM)for second-order elliptic problems to guarantee its computing capability and reduce the computation cost.The new finite element spaceΛh is designed in such a way that the strong requirement V h⊂Λh in[9]is weakened to{v h∈V h;d i v v h=0}⊂Λh so that it needs fewer degrees of freedom than its classical counterpart.Furthermore,the newΛh coupled with the Raviart-Thomas space satisfies the inf-sup condition,which is crucial to the computation of mixed methods for its close relation to the behavior of the smallest nonzero eigenvalue of the stiff matrix,and thus the existence,uniqueness and optimal approximate capability of the EMFEM solution are proved for rectangular partitions in R d,d=2,3 and for triangular partitions in R 2.Also,the solvability of the EMFEM for triangular partition in R 3 can be directly proved without the inf-sup condition.Numerical experiments are conducted to confirm these theoretical findings.展开更多
Ground has been broken for a new space launch complex in Hainan Province china on September 14 began building a space launch center on tropical Hainan Island and continued to construct the foundations for the nation’...Ground has been broken for a new space launch complex in Hainan Province china on September 14 began building a space launch center on tropical Hainan Island and continued to construct the foundations for the nation’s sophisticated space program.展开更多
John Glenn(约翰·格伦,我们不妨尊称他“格老”)是美国最年长的宇航员。这名36年前作为美国第一个进入地球轨道的宇航员,如今又以77岁的古稀高龄,兼有美国参议员的显赫身份,到太空作了一周的“逍遥游”。然而,此游并不“逍遥”:他...John Glenn(约翰·格伦,我们不妨尊称他“格老”)是美国最年长的宇航员。这名36年前作为美国第一个进入地球轨道的宇航员,如今又以77岁的古稀高龄,兼有美国参议员的显赫身份,到太空作了一周的“逍遥游”。然而,此游并不“逍遥”:他浑身插满实验管、感应器,还要不断地抽血、验尿、吞药丸。本文对此情况也略有介绍。笔者要补充的材料是:当Glenn决定以77岁高龄重返太空后,“在家中引来了一片反对声”。可是,他还是毅然重返太空,去当一位医学科学实验的对象,去做人体健康和衰老的过程的研究,被誉为“为实现人类长寿而努力的探索者”。他的崇高精神,令人敬佩！展开更多
文摘Having just arrived in Beijing from crowded Seoul, I am impressed with the provision and variety given the provision and variety given to public spaces here.
基金The author is partially supported by the National Natural Science of Chinathe Zhejiang Provincal Science Foundation
文摘In this note,we define a new kind of spaces TF of Triebel-Lizorkin type and characterize it via sequence space lp Also a Fourier multiplier theorem is established in this new spaces TFpaq
文摘By introducing the notions of L-spaces and L_r-spaces, a complete generalization of Kalton's closed graph theorem is obtained. It points out the class of L_r-spaces is the maximal class of range spaces for the closed graph theorem when the class of domain spaces is the class of Mackey spaces with weakly * sequentially complete dual.Some examples are constructed showing that the class of L_r-spaces is strictly larger than the class of separable B_r-complete spaces.Some properties of L-spaces and L_r-spaces are discussed and the relations between B-complete (resp. B_r-complete) spaces and L-spaces (resp. L_r-spaces) are given.
基金Shanghai Science and Technology Research Plan(No.13dz1204900)
文摘From a strategic perspective,the paper presents a forward-looking thinking supported by interdisciplinary of modern logistics,estuary and coast,environment and ecology,economic management and mathematical statistics. It leads to a reasonable solution to space expansion by reclamation. Construction of new deepwater terminal is the best usage of land resources and can strengthen the status of Shanghai as an international shipping center,thus support the preparation and strategic decision of future urban development of Shanghai.
文摘This paper discusses the urgency to further develop China’s space technological industry;analyzes the gaps between China and other advanced countries in space industry,including technological level,development scale,application scope and investment;describes the current severe situation that the China’s space industry is faced with and proposes the overall objective,guiding principles and major tasks of China’s space technological sector in the Ninth-Five Year Plan and the coming decade.Finally,it proposes some policies and effective measures to speed up the development of China’s space industry to meet the challenge in the 21st century.
基金supported by NSF of China grant 11971276H.Chen was supported by NSF of China grants 12171287,10971254 and 11471196+1 种基金H.Wang was supported by the ARO MURI Grant W911NF-15-1-0562by the National Science Foundation under Grant DMS-2012291.
文摘In this article,we propose a new finite element spaceΛh for the expanded mixed finite element method(EMFEM)for second-order elliptic problems to guarantee its computing capability and reduce the computation cost.The new finite element spaceΛh is designed in such a way that the strong requirement V h⊂Λh in[9]is weakened to{v h∈V h;d i v v h=0}⊂Λh so that it needs fewer degrees of freedom than its classical counterpart.Furthermore,the newΛh coupled with the Raviart-Thomas space satisfies the inf-sup condition,which is crucial to the computation of mixed methods for its close relation to the behavior of the smallest nonzero eigenvalue of the stiff matrix,and thus the existence,uniqueness and optimal approximate capability of the EMFEM solution are proved for rectangular partitions in R d,d=2,3 and for triangular partitions in R 2.Also,the solvability of the EMFEM for triangular partition in R 3 can be directly proved without the inf-sup condition.Numerical experiments are conducted to confirm these theoretical findings.
文摘Ground has been broken for a new space launch complex in Hainan Province china on September 14 began building a space launch center on tropical Hainan Island and continued to construct the foundations for the nation’s sophisticated space program.
