共查询到20条相似文献,搜索用时 531 毫秒
1.
Semën S. Podkorytov 《Central European Journal of Mathematics》2011,9(6):1232-1241
Following a Bendersky-Gitler idea, we construct an isomorphism between Anderson’s and Arone’s complexes modelling the chain
complex of a mapping space. This allows us to apply Shipley’s convergence theorem to Arone’s model. As a corollary, we reduce
the problem of homotopy equivalence for certain “toy” spaces to a problem in homological algebra. 相似文献
2.
James Hirschorn 《Israel Journal of Mathematics》2007,157(1):123-153
We extend Jensen’s Theorem that Souslin’s Hypothesis is consistent with CH, by showing that the statement Souslin’s Hypothesis holds in any forcing extension by a measure algebra is consistent with CH. We also formulate a variation of the principle (*) (see [AT97], [Tod00]) for closed sets of ordinals,
and show its consistency relative to the appropriate large cardinal hypothesis. Its consistency with CH would extend Silver’s
Theorem that, assuming the existence of an inaccessible cardinal, the failure of Kurepa’s Hypothesis is consistent with CH,
by its implication that the statement Kurepa’s Hypothesis fails in any forcing extension by a measure algebra is consistent with CH. 相似文献
3.
Isabel Parra-Frutos 《Computational Statistics》2009,24(4):671-693
This is a simulation study that analyzes the robustness properties of tests for equality of variances in terms of both, Type
I error rate and power. The well-known Levene’s and Bartlett’s tests, along with different modifications proposed for Levene’s
test with and without bootstrapping are examined. Without bootstrapping, some of the modifications may produce better homogeneity
tests. Bootstrapping Levene’s test based on the median and this test simultaneously modified by Keyes–Levy’s adjustment and
Satterthwaite’s correction are always robust for the significance level under any kind of distribution and combination of
sample sizes. None of the tests examined provides protection against extreme values in symmetric distributions. 相似文献
4.
On the Equivalence and Generalized of Weyl Theorem Weyl Theorem 总被引:3,自引:0,他引:3
M. BERKANI 《数学学报(英文版)》2007,23(1):103-110
We know that an operator T acting on a Banach space satisfying generalized Weyl's theorem also satisfies Weyl's theorem. Conversely we show that if all isolated eigenvalues of T are poles of its resolvent and if T satisfies Weyl's theorem, then it also satisfies generalized Weyl's theorem. We give also a sinlilar result for the equivalence of a-Weyl's theorem and generalized a-Weyl's theorem. Using these results, we study the case of polaroid operators, and in particular paranormal operators. 相似文献
5.
We describe a robust method for constructing a tubular surface surrounding a spacelike curve with a spacelike principal normal
in Minkowski 3-Space. Our method is designed to eliminate undesirable twists and wrinkles in the tubular surface’s skin at
points where the curve experiences high torsion. In our construction the tubular surface’s twist is bounded by the spacelike
curve’s curvature and is independent of the spacelike curve’s torsion.
相似文献
6.
In this paper the insurer’s solvency ratio model with or without jump diffusion process in the presence of financial distress cost is constructed, where an insurer’s solvency ratio is characterized by a Markov-modulated dynamics. By Girsanov’s theorem and the option pricing formula, the expected present value of shareholders’ terminal payoff is provided. 相似文献
7.
Joseph G. Moore 《Acta Analytica》2010,25(1):89-103
The paper is a critical discussion of the rich and insightful final chapter of Mitchell Green’s Self-Expression. There, Green seeks to elucidate the compelling, but inchoate intuition that when we’re fully and most expertly expressing
ourselves, we can ‘push out’ from within not just our inner representations, but also the ways that we feel. I question, first,
whether this type of ‘qualitative expression’ is really distinct from the other expressive forms that Green explores, and
also whether it’s genuinely ‘expressive’. I then scrutinize the nature of the ‘qualitative congruences’ that lie at the heart
of Green’s theory; and I wonder whether they can play the role Green claims they can in providing a novel account of artistic
expression. 相似文献
8.
Some ideas of T. Kamae’s proof using nonstandard analysis are employed to give a simple proof of Birkhoff’s theorem in a classical
setting as well as Kingman’s subadditive ergodic theorem. 相似文献
9.
Atsushi Moriwaki 《Inventiones Mathematicae》2000,140(1):101-142
In this paper, we propose a new height function for a variety defined over a finitely generated field over ℚ. For this height
function, we prove Northcott’s theorem and Bogomolov’s conjecture, so that we can recover the original Raynaud’s theorem (Manin-Mumford’s
conjecture).
Oblatum 7-VI-1999 & 21-IX-1999 / Published online: 24 January 2000 相似文献
10.
Yoshihiro Takeyama 《The Ramanujan Journal》2012,27(1):15-28
We obtain a class of quadratic relations for a q-analogue of multiple zeta values (qMZV’s). In the limit q→1, it turns into Kawashima’s relation for multiple zeta values. As a corollary we find that qMZV’s satisfy the linear relation contained in Kawashima’s relation. In the proof we make use of a q-analogue of Newton series and Bradley’s duality formula for finite multiple harmonic q-series. 相似文献
11.
Ioannis K. Argyros 《Journal of Applied Mathematics and Computing》1999,6(2):267-275
In this study we examine the applicability of Newton’s method and the modified Newton’s method for approximating a locally unique solution of a nonlinear equation in a Banach space. We assume that the Newton-Kantorovich hypothesis for Newton’s method is violated, but the corresponding condition for the modified Newton method holds. Under these conditions there is no guarantee that Newton’s method starting from the same initial guess as the modified Newton’s method converges. Hence, it seems that we must always use the modified Newton method under these conditions. However, we provide a numerical example to demonstrate that in practice this may not be a good decision. 相似文献
12.
In this paper, we attempt to give a unified approach to the existing several versions of Ekeland’s variational principle.
In the framework of uniform spaces, we introduce p-distances and more generally, q-distances. Then we introduce a new type
of completeness for uniform spaces, i.e., sequential completeness with respect to a q-distance (particularly, a p-distance),
which is a very extensive concept of completeness. By using q-distances and the new type of completeness, we prove a generalized
Takahashi’s nonconvex minimization theorem, a generalized Ekeland’s variational principle and a generalized Caristi’s fixed
point theorem. Moreover, we show that the above three theorems are equivalent to each other. From the generalized Ekeland’s
variational principle, we deduce a number of particular versions of Ekeland’s principle, which include many known versions
of the principle and their improvements. 相似文献
13.
Maria Zelenova 《P-Adic Numbers, Ultrametric Analysis, and Applications》2011,3(2):157-164
Shanks’s baby-step-giant-step algorithm to count the order of the group of points of an elliptic curve over a finite prime
field is described. The algorithm’s improvements are also discussed. The first one is based on Mestre’s theorem. The second
improvement is based on the Sutherland’s probabilistic result allowing to calculate the exponent of an arbitrary finite abelian
group. 相似文献
14.
Consider a family of zero-sum games indexed by a parameter that determines each player’s payoff function and feasible strategies.
Our first main result characterizes continuity assumptions on the payoffs and the constraint correspondence such that the
equilibrium value and strategies depend continuously and upper hemicontinuously (respectively) on the parameter. This characterization
uses two topologies in order to overcome a topological tension that arises when players’ strategy sets are infinite-dimensional.
Our second main result is an application to Bayesian zero-sum games in which each player’s information is viewed as a parameter.
We model each player’s information as a sub-σ-field, so that it determines her feasible strategies: those that are measurable with respect to the player’s information.
We thereby characterize conditions under which the equilibrium value and strategies depend continuously and upper hemicontinuously
(respectively) on each player’s information. 相似文献
15.
By using the concept of cone extensions and Dancs-Hegedus-Medvegyev theorem, Ha [Some variants of the Ekeland variational
principle for a set-valued map. J. Optim. Theory Appl., 124, 187–206 (2005)] established a new version of Ekeland’s variational principle for set-valued maps, which is expressed by
the existence of strict approximate minimizer for a set-valued optimization problem. In this paper, we give an improvement
of Ha’s version of set-valued Ekeland’s variational principle. Our proof is direct and it need not use Dancs-Hegedus-Medvegyev
theorem. From the improved Ha’s version, we deduce a Caristi-Kirk’s fixed point theorem and a Takahashi’s nonconvex minimization
theorem for set-valued maps. Moreover, we prove that the above three theorems are equivalent to each other. 相似文献
17.
Jean Mawhin 《Journal of Fixed Point Theory and Applications》2007,1(2):159-187
Some applications given in Jean Leray’s thesis of 1933 seem to have been forgotten, before being rediscovered and then widely
developed. The reason may be found in the fact that the Arzelà–Schmidt’s method introduced in the thesis was superseded one
year later by the more general and fruitful Leray-Schauder’s method. We also show that, despite its fame and a steadily increasing
number of applications, some aspects of Leray–Schauder’s paper were somewhat forgotten too.
Dedicated, with admiration, to the living memory of Jean Leray 相似文献
18.
Aristophanes Koutoungos 《Acta Analytica》2005,20(3):59-79
Moral internalism and moral externalism compete over the best explanation of the link between judgment and relevant motivation
but, it is argued, they differ at best only verbally. The internalist rational-conceptual nature of the link’ as accounted
by M. Smith in The Moral Problem is contrasted to the externalist, also rational, link that requires in addition support from
the agent’s psychological-dispositional profile; the internalist link, however, is found to depend crucially on a, similarly
to the externalist, psychologically ‘loaded’ profile. It is also argued that the differentiation of the two competing explanations
is insufficient partly because they both fail to consider crucial quantitative parameters of the judgment-motivation link.
Such parameters become very important particularly in the light of Smith’s claim that this link is grounded on the observable
“striking fact” where changes in the set of one’s moral beliefs systematically bring about changes in one’s moral behavior.
Examples of algorithms measuring moral coherence and moral worth are provided to serve as evidence for what it comes down
to, vis-à-vis the alleged fact, only a verbal dispute between the two camps. Finally, the ‘misfiring’ of these explanations
is understood in connection to the irreducibility of concepts such as ‘moral worth’, and/or, ‘moral sensitivity’. 相似文献
19.
Nonholonomic systems are described by the Lagrange-D’Alembert’s principle. The presence of symmetry leads, upon the choice
of an arbitrary principal connection, to a reduced D’Alembert’s principle and to the Lagrange-D’Alembert-Poincaré reduced
equations. The case of rolling constraints has a long history and it has been the purpose of many works in recent times. In
this paper we find reduced equations for the case of a thick disk rolling on a rough surface, sometimes called Euler’s disk, using a 3-dimensional abelian group of symmetry. We also show how the reduced system can be transformed into a single second
order equation, which is an hypergeometric equation. 相似文献
20.
Wolfgang Barz 《Acta Analytica》2007,22(3):183-188
It is argued that Searle’s argument for the thesis that there is a conceptual connection between intentionality and consciousness
suffers from serious ambiguities. Searle’s argument is reconstructed as consisting of three premises that contain the notions
of aspectual shape and irreducible subjectivity. Having identified two different readings of ‘aspectual shape’ and ‘irreducibly
subjective,’ I conclude that each version of Searle’s argument incorporates at least one false premise.
This paper is a descendant of a paper presented at the Wittgenstein Symposium at Kirchberg am Wechsel in August 2004. I would
like to thank the reviewer of this journal for his/her helpful comments on a previous draft. 相似文献