共查询到20条相似文献,搜索用时 640 毫秒
1.
Yu. Yu. Kochetkov 《Functional Analysis and Its Applications》2010,44(2):118-124
The cell structure of the spaces ℳ2,1 and ℳ3,1 is considered. These are the spaces of complex curves of genus 2 and 3 with one marked point. For the space ℳ2,1, nine cells of the highest dimension 8 are described and their adjacency is studied. For the space ℳ3,1, a list of all 1726 cells of the highest dimension 14 (with orientation) is obtained. The list of adjacent couples of cells
is also obtained. These lists can be found on the web. 相似文献
2.
We study 2 reals x in terms of how they can be approximated symmetrically by a computable sequence of rationals. We deal with a natural notion of approximation representation and study how these are related computationally for a fixed x. This is a continuation of earlier work; it aims at a classification of 2 reals based on approximation and it turns out to be quite different than the existing ones (based on information content etc.)Mathematics Subject Classification (2000): 03F60, 03D30 相似文献
3.
We are interested in minimizing functionals with ℓ2 data and gradient fitting term and ℓ1 regularization term with higher order derivatives in a discrete setting. We examine the structure of the solution in 1D by
reformulating the original problem into a contact problem which can be solved by dual optimization techniques. The solution
turns out to be a ’smooth’ discrete polynomial spline whose knots coincide with the contact points while its counterpart in
the contact problem is a discrete version of a spline with higher defect and contact points as knots. In 2D we modify Chambolle’s
algorithm to solve the minimization problem with the ℓ1 norm of interacting second order partial derivatives as regularization term. We show that the algorithm can be implemented
efficiently by applying the fast cosine transform. We demonstrate by numerical denoising examples that the ℓ2 gradient fitting term can be used to avoid both edge blurring and staircasing effects.
相似文献
4.
M. S. Mahmoud P. Shi A. W. A. Saif 《Journal of Optimization Theory and Applications》2009,142(3):583-601
This paper presents new results pertaining to the delay-dependent stability and control synthesis of a class of linear switched
continuous-time systems with time-varying delays. A new state transformation is introduced to exhibit the delay-dependent
dynamics in the slow-time scale. For stability, we construct an appropriate selective Lyapunov functional to derive delay-dependent
LMI-based sufficient conditions under arbitrary switching and without relying to overbounding. For the control synthesis,
we design switched feedback schemes based on quadratic ℋ2, ℋ∞ and simultaneous ℋ2/ℋ∞ performance criteria. Under the developed transformation, it is established that both the instantaneous and delayed feedback
control yield identical results. Numerical examples are presented to illustrate the analytical development. 相似文献
5.
Akira Hiraki 《Graphs and Combinatorics》2009,25(1):65-79
Let Γ be a distance-regular graph of diameter d ≥ 3 with c
2 > 1. Let m be an integer with 1 ≤ m ≤ d − 1. We consider the following conditions:
In [12] we have shown that the condition (SC)
m
holds if and only if both of the conditions (BB)
i
and (CA)
i
hold for i = 1,...,m. In this paper we show that if a
1 = 0 < a
2 and the condition (BB)
i
holds for i = 1,...,m, then the condition (CA)
i
holds for i = 1,...,m. In particular, the condition (SC)
m
holds. Applying this result we prove that a distance-regular graph with classical parameters (d, b, α, β) such that c
2 > 1 and a
1 = 0 < a
2 satisfies the condition (SC)
i
for i = 1,...,d − 1. In particular, either (b, α, β) = (− 2, −3, −1 − (−2)
d
) or holds. 相似文献
(SC) m : For any pair of vertices at distance m there exists a strongly closed subgraph of diameter m containing them. | |
(BB) m : Let (x, y, z) be a triple of vertices with ∂Γ(x, y) = 1 and ∂Γ(x, z) = ∂Γ(y, z) = m. Then B(x, z) = B(y, z). | |
(CA) m : Let (x, y, z) be a triple of vertices with and |C(z, x) ∩ C(z, y)| ≥ 2. Then C(x, z) ∪ A(x, z) = C(y, z) ∪ A(y, z). |
6.
Suppose π1(E, F) is the space of all absolutely 1-summing operators between two Banach spacesE andF. We show that ifF has a copy of c0, then π1 (E, F) will have a copy of c0, and under some conditions ifE has a copy of ℓ1 then π1 (E, F) would have a complemented copy of ℓ1. 相似文献
7.
I. I. Shneiberg 《Functional Analysis and Its Applications》2008,42(1):78-80
We give the definition of the full potential with descendants, which is a genus expansion of the Barannikov-Kontsevich solution of the WDVV equation. This potential satisfies the Getzler relation, which comes from the geometry of the moduli space of curves Open image in new window . 相似文献
8.
Emily J. King Maria A. Skopina 《P-Adic Numbers, Ultrametric Analysis, and Applications》2010,2(3):222-231
With an eye on applications in quantum mechanics and other areas of science, much work has been done to generalize traditional
analytic methods to p-adic systems. In 2002 the first paper on p-adic wavelets was published. Since then p-adic wavelet sets, multiresolution analyses, and wavelet frames have all been introduced. However, so far all constructions
have involved dilations by p. This paper presents the first construction of a p-adic wavelet system with a more general matrix dilation, laying the foundation for further work in this direction. 相似文献
9.
The dyadic diaphony, introduced by Hellekalek and Leeb, is a quantitative measure for the irregularity of distribution of point sets in the unit-cube. In this paper we study the dyadic diaphony of digital nets over ℤ2. We prove an upper bound for the dyadic diaphony of nets and show that the convergence order is best possible. This follows from a relation between the dyadic diaphony and the
discrepancy. In order to investigate the case where the number of points is small compared to the dimension we introduce the limiting dyadic diaphony, which is defined as the limiting case where the dimension tends to infinity. We obtain a tight upper and lower bound and we compare this result with the limiting dyadic diaphony of a random sample.The first author is supported by the Australian Research Council under its Center of Excellence Program.The second author is supported by the Austrian Research Foundation (FWF), Project S 8305 and Project P17022-N12. 相似文献
10.
We construct a simple transformation whose centralizer is isomorphic to (?)2 ? A ?, where A is an aperiodic automorphism of ?2. As a corollary we obtain an example of a ?2-action \({({T_g})_{g \in {Z^2}}}\) with minimal self-joinings which is conjugate to the (twisted by A) action \({({T_{Ag}})_{g \in {Z^2}}}\). This answers a question of E. Glasner. 相似文献
11.
Three new summation formulas for 6
ψ
6 bilateral basic hypergeometric series attached to root systems are presented. Remarkably, two of these formulae, labelled
by the A2n−1 and A2n
root systems, can be reduced to multiple 6
φ
5 sums generalising the well-known van Diejen sum. This latter sum serves as the weight-function normalisation for the BC
n
q-Racah polynomials of van Diejen and Stokman. Two 8
φ
7-level extensions of the multiple 6
φ
5 sums, as well as their elliptic analogues, are conjectured. This opens up the prospect of constructing novel A-type extensions
of the Koornwinder–Macdonald theory. 相似文献
12.
V. A. Abilov F. V. Abilova M. K. Kerimov 《Computational Mathematics and Mathematical Physics》2009,49(7):1103-1110
Two estimates useful in applications are proved for the Fourier-Bessel integral transform in L 2(?+) as applied to some classes of functions characterized by a generalized modulus of continuity. 相似文献
13.
Sandy H. L. Chen William Y. C. Chen Amy M. Fu Wenston J. T. Zang 《The Ramanujan Journal》2011,25(1):37-47
We use the Algorithm Z on partitions due to Zeilberger, in a variant form, to give a combinatorial proof of Ramanujan’s 1
ψ
1 summation formula. 相似文献
14.
In the present paper we study the orbits of action of the group GL2(ℂ) on the space of binary forms. The main result of the paper is the proof of the criterion which divides the GL2(ℂ)-orbits of binary forms. 相似文献
15.
Heekyoung Hahn 《The Ramanujan Journal》2008,15(2):235-257
In this paper, we define the normalized Eisenstein series ℘, e, and
associated with Γ0(2), and derive three differential equations satisfied by them from some trigonometric identities. By using these three formulas,
we define a differential equation depending on the weights of modular forms on Γ0(2) and then construct its modular solutions by using orthogonal polynomials and Gaussian hypergeometric series. We also construct
a certain class of infinite series connected with the triangular numbers. Finally, we derive a combinatorial identity from
a formula involving the triangular numbers.
相似文献
16.
We obtain formulas for the volume of a spherical tetrahedron with ℤ2-symmetry realized as rotation about the axis passing through the midpoints of a pair of skew edges. We show the dependence
of the volume formula on the edge lengths and dihedral angles of the tetrahedron. Several different formulas result whose
scopes are determined by the geometric characteristics of the tetrahedron. 相似文献
17.
For Ω bounded and open subset of
andX a reflexive Banach space with 1-symmetric basis, the function spaceJF
X
(Ω) is defined. This class of spaces includes the classical James function space. Every member of this class is separable
and has non-separable dual. We provide a proof of topological nature thatJF
X
(Ω) does not contain an isomorphic copy of ℓ1. We also investigate the structure of these spaces and their duals. 相似文献
18.
Let
be the Galois ring of characteristic 23 and rank n and let
. We give an explicit construction of Hadamard difference sets in
.}Research supported by NSA grant MDA 904-02-1-0080. 相似文献
19.
Let p
1, p
2, p
3, p
4 be four pairwise distinct points in the boundary of complex hyperbolic 2-space H
ℂ2 and any three points do not lie in the same C-circle. We show that we are always able to group the four points into two classes such that each class contains two points,
the two complex lines spanned by each class are ultra-parallel or intersect. As an application, we can simplify the discussion
in the paper [7], in which Parker and Platis used the global geometry coordinates to describe the Falbel’s cross-ratio variety
of the four pairwise distinct points on the ∂H
ℂ2. 相似文献
20.
We obtain asymptotic equalities for the least upper bounds of approximations by Zygmund sums in the uniform metric on the
classes of continuous 2π-periodic functions whose (ψ, β)-derivatives belong to the set H
ω in the case where the sequences ψ that generate the classes tend to zero not faster than a power function. 相似文献