共查询到20条相似文献,搜索用时 15 毫秒
1.
A. V. Menovshchikov 《Siberian Mathematical Journal》2017,58(4):649-662
Given a homeomorphism ? ∈ W M 1 , we determine the conditions that guarantee the belonging of the inverse of ? in some Sobolev–Orlicz space W F 1 . We also obtain necessary and sufficient conditions under which a homeomorphism of domains in a Euclidean space induces the bounded composition operator of Sobolev–Orlicz spaces defined by a special class of N-functions. Using these results, we establish requirements on a mapping under which the inverse homeomorphism also induces the bounded composition operator of another pair of Sobolev–Orlicz spaces which is defined by the first pair. 相似文献
2.
Paul Erdos 《数学研究与评论》1982,(1)
In conversation I was told by Professor R.Brigham the following conjecture [1].Let G(n) be a graph of n vertices.Denote by f(G(n))=t the smallest integer for which the vertices of G(n) can be covered by t cliques. Denote further by h(G(n)) =l the largest integer for which there are l edges of our G(n) no two of Which are in the same clique.Clearly h(G(n)) can be much larger than f(G(n))e.g.if n=2m and G(n) is the complete bipartite graph of m white and m black vertices.Then l(G(n))=m and l(G(n))=m~2. It was conjectured that if G(n).has no isolated vertices then 相似文献
3.
InequalityfortheMomentofaFunctionofaRandomVariable¥LiBainianHuShuhe(李柏年,胡舒合)(AnhuiInstituteofFinanceandTrade)(AnhuiUniversity... 相似文献
4.
《The Journal of Mathematical Behavior》1999,18(2):223-241
Several theories have been proposed to describe the transition from process to object in mathematical thinking. Yet, what is the nature of this “object” produced by the “encapsulation” of a process? Here, we outline the development of some of the theories (including Piaget, Dienes, Davis, Greeno, Dubinsky, Sfard, Gray, and Tall) and consider the nature of the mental objects (apparently) produced through encapsulation and their role in the wider development of mathematical thinking. Does the same developmental route occur in geometry as in arithmetic and algebra? Is the same development used in axiomatic mathematics? What is the role played by imagery? 相似文献
5.
Let F={H1,...,Hk}(k> 1) be a family of graphs.The Turán number of the family F is the maximum number of edges in an n-vertex {H1,...,Hk)-free graph,denoted by ex(n,F) or ex(n,{H1,H2,...,Hk}).The blow-up of a graph H is the graph obtained from H by replacing each edge in H by a clique of the same size where the new vertices of the cliques are all different.In this paper we determine the Turán number of the family cons... 相似文献
6.
Alfred Auslender 《Mathematical Programming》1982,24(1):257-268
We study differential properties of the support function of the-subdifferential of a convex function; applications in algorithmics are also given. 相似文献
7.
A. D. Gorbulsky 《Journal of Mathematical Sciences》2006,138(3):5686-5690
In the present paper, we study the σ-algebra of pasts Ξ = {ξ
n
}
n
of a random walk T over the orbits of a Bernoulli action of the group Zd. We calculate the proper scaling and the scaling entropy of this sequence of partitions. We show that the proper scaling
entropy of the σ-algebra of pasts is equal to
. Bibliography: 4 titles.
__________
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 325, 2005, pp. 103–112. 相似文献
8.
OnthePropertiesoftheSolutionofaStronglyDegenerateParabolicEquationChengFuxia(DepartmentofAppliedMathematics,TsinghuaUniversit... 相似文献
9.
We address the topology of the set of singularities of a solution to a Hamilton–Jacobi equation. For this, we will apply the idea of the first two authors (Cannarsa and Cheng, Generalized characteristics and Lax–Oleinik operators: global result, preprint, arXiv:1605.07581, 2016) to use the positive Lax–Oleinik semi-group to propagate singularities. 相似文献
10.
In this paper,we discuss a loop by the separatrix of a saddle point of two dimensional autonmoussystem.It contains two sections.In section 1,a short proof of the criterion theorem of stability ofthe loop of saparatrix is given wi~h ~he help o~th~ ~h~orjr 0~ i'otatin~ vector field, and some in~ormatioafor the study of stability of that loop in critical case is supplied.In section 2,we give a sufficientcondition under which a limit cycle is produced from the loop of separatrix. 相似文献
11.
The number of representations of the elements of the ringℤ/dℤ as a sum of invertible squares is computed, provided that each
square occurs in the sum no more tha a fized number of times. For prime d an exhaustive answer is given in term of the class
number and the fundamental unit of the real quadratic field
. Biblography: 5 titles.
Translted fromZapiski Nauchnykh Seminarov POMI, Vol. 227, 1995, pp. 5–8. 相似文献
12.
On solutions of a common generalization of the Go?a?b-Schinzel equation and of the addition formulae
Anna Mureńko 《Journal of Mathematical Analysis and Applications》2008,341(2):1236-1240
Under some additional assumptions we determine solutions of the equation
f(x+M(f(x))y)=f(x)○f(y), 相似文献
13.
L. Di Terlizzi 《Acta Mathematica Hungarica》2009,124(4):399-401
We considered in Example 3.1 of the paper [1] an S-structure on R2n+s
. We concluded that when s > 1 this manifold cannot be of constant φ-sectional curvature. Unfortunately this result is wrong. In fact, essentially due
to a sign mistake in defining the φ-structure and a consequent transposition of the elements of the φ-basis (3.2), some of
the Christoffel’s symbols were incorrect. In the present rectification, using a more slendler tecnique, we prove that our
manifold is of constant φ-sectional curvature −3s and then it is η-Einstein. 相似文献
14.
Da Yue CHEN Fu Xi ZHANG 《数学学报(英文版)》2007,23(11):1949-1954
The authors consider the simple random walk on the infinite cluster of the Bernoulli bond percolation of trees, and investigate the relation between the speed of the simple random walk and the retaining probability p by studying three classes of trees. A sufficient condition is established for Galton-Watson trees. 相似文献
15.
We prove a conjecture of Zahariuta which itself solves a problem of Kolmogorov on the -entropy of some classes of analytic functions. For a given holomorphically convex compact subset K in a pseudoconvex domain D in Cn, Zahariutas conjecture consists in approximating the relative extremal function u*K,D, uniformly on any compact subset of DK, by pluricomplex Green functions on D with logarithmic poles in the compact subset K. 相似文献
16.
Vladimir Maz'ya 《Comptes Rendus Mathematique》2009,347(9-10):517-520
It is shown that solutions of the Neumann problem for the Poisson equation in an arbitrary convex n-dimensional domain are uniformly Lipschitz. Applications of this result to some aspects of regularity of solutions to the Neumann problem on convex polyhedra are given. To cite this article: V. Maz'ya, C. R. Acad. Sci. Paris, Ser. I 347 (2009). 相似文献
17.
On a transformation of the wiener process in ℝ
m
by a functional of the local time type on a surface
M. M. Osipchuk 《Ukrainian Mathematical Journal》1993,45(6):954-958
A transformation of the Wiener process t in m is considered. This transformation is realized by a multiplicative functional l=u(l/u(0), where the functionu is constructed in a certain way by using a functional of the local time type on a surface. It is proved that this transformation is equivalent to the successive application of an absolutely continuous change of a measure and killing on the surface.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 6, pp. 863–866, June, 1993. 相似文献
18.
Zbigniew Lipecki 《manuscripta mathematica》2001,104(3):333-341
Cardinals that arise as the number of extreme quasi-measure extensions of a quasi-measure [resp., measure] μ defined on an
algebra [resp., σ-algebra] of sets to a larger algebra [resp., σ-algebra] of sets are characterized in the general case as
well as under some natural assumptions on μ.
Received: 19 September 2000 相似文献
19.
20.
In the paper“The equitype and quasi-equitype decompositions of arbitrarypermutation by permutations of order 2 or 3”,we proved that any even permu-tation can be expressed as a product of two equitype involutions and any odd per-mutation can be expressed as a product of two quasi-equitype involutions. Meanwh-ile,we gave the condition on t such that an even permutation has(2~t)equitypedecompositions and the condition on t such that an odd permutation has(2;2~t)quasi-equitype decompositions.In this paper,we give the numbers of the equitypeand quasi-equitype decompositions of a permutation.The main results are 相似文献