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61.
也论电磁波的预言及其发现过程 总被引:1,自引:0,他引:1
文章根据麦克斯韦的著作和赫兹的《综合文集》、《电波》和《回忆、书信和日记》以及相关文献,对麦克斯韦预言电磁波的问题和赫兹实验发现电磁波的过程进行了仔细考察,指出麦克斯韦没有明确预言电磁波的存在,麦克斯韦的理论不是赫兹电磁学实验研究的直接指导思想.文章认为亥姆霍兹为普鲁士科学院所提出的1879年悬赏课题对赫兹发现电磁波起到了直接的引导作用,而电磁波的发现则主要归因于赫兹精湛的实验技能和敏锐的观察力. 相似文献
62.
The classical James constant and the nth James constants, which are measure of B-convexity for the Cesàro sequence spaces cesp and the Cesàro-Orlicz sequence spaces cesM, are calculated. These investigations show that cesp,cesM are not uniformly non-square and even they are not B-convex. Therefore the classical Cesàro sequence spaces cesp are natural examples of reflexive spaces which are not B-convex. Moreover, the James constant for the two-dimensional Cesàro space is calculated. 相似文献
63.
Abstract Semiparametric linear regression with censored data assumes a linear relationship between failure time and covariates without specifying the distributional form of the error term. This approach has attracted considerable attention recently. Most notably, rank regression methods have been derived for parameter estimation, hypothesis testing, and goodness-of-fit analysis. The implementation of these methods requires minimizing discrete objective functions with multiple local minima. Conventional optimization algorithms cannot be used to solve such minimization problems. We develop computational methods to implement rank regression procedures using simulated annealing. Two real data sets are used for illustration. Applications of the new algorithms to the modified least squares estimator of Buckley and James and several other related problems are also described. 相似文献
64.
A new condition for mappings, called condition (C), which is more general than nonexpansiveness, was recently introduced by Suzuki [T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095]. Following the idea of Kirk and Massa Theorem in [W.A. Kirk, S. Massa, Remarks on asymptotic and Chebyshev centers, Houston J. Math. 16 (1990) 364-375], we prove a fixed point theorem for mappings with condition (C) on a Banach space such that its asymptotic center in a bounded closed and convex subset of each bounded sequence is nonempty and compact. This covers a result obtained by Suzuki [T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095]. We also present fixed point theorems for this class of mappings defined on weakly compact convex subsets of Banach spaces satisfying property (D). Consequently, we extend the results in [T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095] to many other Banach spaces. 相似文献
65.
Let A2(X) be the constant introduced by Baronti, Casini and Papini. This paper discusses the constant A2(X) and states an estimate in terms of the James constant. The estimate enables us to improve an inequality between the James and von Neumann-Jordan constants. 相似文献
66.
A brief introduction and review of new book about the Elements of Computational Statistics is given. 相似文献
67.
Ken-Ichi Mitani Kichi-Suke Saito 《Nonlinear Analysis: Theory, Methods & Applications》2009,71(11):310-5247
In [M. Kato and L. Maligranda, On James and Jordan–von Neumann constants of Lorentz sequence spaces, J. Math. Anal. Appl. 258 (2001) 457–465], it is an open problem to compute the James constant of the dual space of two dimensional Lorentz sequence space d(2)(w,q). In this paper, we shall determine the dual norm of d(2)(w,q) and completely compute the James constant of d(2)(w,q). 相似文献
68.
Let CNJ(X) and J(X) be the von Neumann-Jordan and James constants of a Banach space X, respectively. We shall show that CNJ(X)?J(X), where equality holds if and only if X is not uniformly non-square. This answers affirmatively to the question in a recent paper by Alonso et al. [J. Alonso, P. Martín, P.L. Papini, Wheeling around von Neumann-Jordan constant in Banach spaces, Studia Math. 188 (2008) 135-150]. This inequality looks quite simple and covers all the preceding results. In particular this is much stronger than Maligranda's conjecture: . 相似文献
69.
70.
《Expositiones Mathematicae》2020,38(1):138-147
We study Birkhoff–James orthogonality of compact (bounded) linear operators between Hilbert spaces and Banach spaces. Applying the notion of semi-inner-products in normed linear spaces and some related geometric ideas, we generalize and improve some of the recent results in this context. In particular, we obtain a characterization of Euclidean spaces and also prove that it is possible to retrieve the norm of a compact (bounded) linear operator (functional) in terms of its Birkhoff–James orthogonality set. We also present some best approximation type results in the space of bounded linear operators. 相似文献