共查询到20条相似文献,搜索用时 15 毫秒
1.
Summary The main purpose of this paper is to introduce the concepts of η-sets, ηζ-sets,η-continuity and ηζ-continuity and to obtain
a decomposition of continuity. 相似文献
2.
Á. Császár 《Acta Mathematica Hungarica》2008,120(4):351-354
The paper discusses the generalization of a construction described in [6] for the case when the starting point topology is
replaced by a generalized topology.
Research supported by Hungarian Foundation for Scientific Research, grant No. T 49786. 相似文献
3.
We prove a theorem on the commutativity of the PI ring and use it to generalize a famous theorem of Herstein. 相似文献
4.
Erdal Ekici 《Periodica Mathematica Hungarica》2007,54(1):77-84
The purpose of this paper is to introduce properties of the notion of α-compactness for fuzzy topological spaces. Moreover, α
c-compact spaces are introduced and properties of them are also discussed for fuzzy topological spaces.
相似文献
5.
V. F. Murzina 《Algebra and Logic》2008,47(6):405-419
Using the language of temporal logic, we construct a decidable calculus L* α and prove that the calculus is complete w.r.t.
the class of all strictly linearly ordered α-frames.
Supported by RFBR (project No. 06-01-00358) and by the Council for Grants (under RF President) and State Aid of Leading Scientific
Schools (grant NSh-335.2008.1).
__________
Translated from Algebra i Logika, Vol. 47, No. 6, pp. 723–749, November–December, 2008. 相似文献
6.
We consider the construction of the plateau of the α-function in a hyperbolic and positive definite Lagrangian system, and link the boundries of the α-function’s plateau with the distribution of c-minimal homoclinic orbits to Aubry sets. 相似文献
7.
B. Al-Nashef 《Acta Mathematica Hungarica》2002,97(1-2):115-120
The following two decomposition theorems are obtained. (1) A function f is α-continuous if and only if f is pre-continuous and αα-continuous, (2) A function f is semi-continuous if and only if f is spr-continuous and αLC-continuous.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
8.
In this paper, the matrix of equidiagonal-dominance is defined and several theorems about ‖A
−1‖∞ and its evaluation are established. Many interesting numerical examples are given.
This work is supported by the National Natural Science Foundation of China and the Science Foundation of Academy of Engineering
Physics of China 相似文献
9.
Let X be an infinite-dimensional Banach space with weight τ. By Cld
AW
(X), we denote the hyperspace of nonempty closed sets in X with the Attouch—Wets topology. By Fin
AW
(X), Comp
AW
(X) and Bdd
AW
(X), we denote the subspaces of Cld
AW
(X) consisting of finite sets, compact sets and bounded closed sets, respectively. In this paper, it is proved that
Fin
AW
(X)≈Comp
AW
(X)≈ℓ2(τ)×ℓ2
f
ℓandℓBdd
AW
(X)≈ℓ2(2τ)×ℓ2
f
where ≈ means ‘is homeomorphic to’, ℓ2(τ) is the Hilbert space with weight τ (ℓ2(ℵ0)=ℓ2 the separable Hilbert space) and
ℓ2
f
={(x
i
)
iεN
εℓ2∣x
i
=0 except for finitely many iεN}. 相似文献
10.
A graph is said to be super-connected if every minimum vertex cut isolates a vertex. A graph is said to be hyper-connected
if the deletion of each minimum vertex cut creates exactly two components, one of which is an isolated vertex. In this note,
we proved that a vertex transitive bipartite graph is not super-connected if and only if it is isomorphic to the lexicographic
product of a cycle Cn(n ≥ 6) by a null graph Nm. We also characterized non-hyper-connected vertex transitive bipartite graphs. 相似文献
11.
B. Sh. Kulpeshov 《Siberian Mathematical Journal》2009,50(2):282-301
We continue studying the analogs of o-minimality and weak o-minimality for circularly ordered sets. We present a complete characterization of the behavior of unary definable functions in an ?0-categorical 1-transitive weakly circularly minimal structure. Using it, we describe the ?0-categorical 1-transitive nonprimitive weakly circularly minimal structures of convexity rank greater than 1 up to binarity. 相似文献
12.
We characterize δ-I-sets, discuss the relation between δ-sets, δ-I-sets and I
δ-sets and generalize some of the results. 相似文献
13.
Alejandro Balbás José Garrido Silvia Mayoral 《Methodology and Computing in Applied Probability》2009,11(3):385-399
The current literature does not reach a consensus on which risk measures should be used in practice. Our objective is to give
at least a partial solution to this problem. We study properties that a risk measure must satisfy to avoid inadequate portfolio
selections. The properties that we propose for risk measures can help avoid the problems observed with popular measures, like
Value at Risk (VaR
α
) or Conditional VaR
α
(CVaR
α
). This leads to the definition of two new families: complete and adapted risk measures. Our focus is on risk measures generated by distortion functions. Two new properties are put forward for these:
completeness, ensuring that the distortion risk measure uses all the information of the loss distribution, and adaptability,
forcing the measure to use this information adequately.
This research was partially funded by
1,3
Welzia Management, SGIIC SA, RD Sistemas SA, Comunidad Autónoma de Madrid Grant s-0505/tic/000230, and MEyC Grant BEC2000-1388-C04-03 and by
2
the Natural Sciences and Engineering Research Council of Canada (NSERC) Grant 36860-06. 相似文献
14.
M. V. Ladoshkin 《Mathematical Notes》2006,79(5-6):664-674
For each left graded module M over a graded algebra A, a Hochschild cochain complex S*(A, M) whose homology is responsible for the existence of nontrivial structures of A ∞-modules over A ∞-algebras on the given module is constructed. 相似文献
15.
Á. Császár 《Acta Mathematica Hungarica》2008,121(4):395-400
It is shown in the paper [1] that every generalized topology can be generated by a generalized neighbourhood system. Following
the paper [3], we discuss some questions related to this construction.
Research supported by Hungarian Foundation for Scientific Research, grant No. T 49786. 相似文献
16.
Based on the specified grades of satisfaction, we propose two new concepts of (α, β)-acceptable optimal solution and (α, β)-acceptable
optimal value of a fuzzy linear fractional programming problem with fuzzy coefficients, and develop a method to compute them.
An example is provided to demonstrate the method. 相似文献
17.
Jian Ming ZHAN Bijan DAVVAZ K. P. SHUM 《数学学报(英文版)》2007,23(8):1345-1356
We describe the relationship between the fuzzy sets and the algebraic hyperstructures. In fact, this paper is a continuation of the ideas presented by Davvaz in (Fuzzy Sets Syst., 117: 477- 484, 2001) and Bhakat and Das in (Fuzzy Sets Syst., 80: 359-368, 1996). The concept of the quasicoincidence of a fuzzy interval value with an interval-valued fuzzy set is introduced and this is a natural generalization of the quasi-coincidence of a fuzzy point in fuzzy sets. By using this new idea, the concept of interval-valued (α,β)-fuzzy sub-hypermodules of a hypermodule is defined. This newly defined interval-valued (α,β)-fuzzy sub-hypermodule is a We shall study such fuzzy sub-hypermodules and sub-hypermodules of a hypermodule. generalization of the usual fuzzy sub-hypermodule. consider the implication-based interval-valued fuzzy 相似文献
18.
Ferenc Móricz 《Acta Mathematica Hungarica》2008,120(4):355-366
We introduce the higher order Lipschitz classes Λ
r
(α) and λ
r
(α) of periodic functions by means of the rth order difference operator, where r = 1, 2, ..., and 0 < α ≦ r. We study the smoothness property of a function f with absolutely convergent Fourier series and give best possible sufficient conditions in terms of its Fourier coefficients
in order that f belongs to one of the above classes.
This research was supported by the Hungarian National Foundation for Scientific Research under Grant T 046 192. 相似文献
19.
Michael Schlosser 《The Ramanujan Journal》2008,17(3):305-319
By multidimensional matrix inversion, combined with an A
r
extension of Jackson’s 8
φ
7 summation formula by Milne, a new multivariable 8
φ
7 summation is derived. By a polynomial argument this 8
φ
7 summation is transformed to another multivariable 8
φ
7 summation which, by taking a suitable limit, is reduced to a new multivariable extension of the nonterminating 6
φ
5 summation. The latter is then extended, by analytic continuation, to a new multivariable extension of Bailey’s very-well-poised
6
ψ
6 summation formula.
Partly supported by FWF Austrian Science Fund grants P17563-N13, and S9607 (the second is part of the Austrian National Research
Network “Analytic Combinatorics and Probabilistic Number Theory”). 相似文献
20.
A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.
相似文献