共查询到20条相似文献,搜索用时 46 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 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
3.
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
4.
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
5.
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
6.
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
7.
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
8.
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
9.
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
10.
Zhengfang Wang 《Algebras and Representation Theory》2016,19(2):397-404
Degeneration of modules is defined geometrically. Riedtmann and Zwara show that this degeneration is equivalent to the existence of a certain short exact sequence. Then Yoshino and independently Jensen, Su and Zimmermann generalised this notion to triangulated categories. We write X≤Δ Y if X degenerates to Y. In this paper, we prove that ≤△ applied to the singular category \(\mathcal {D}_{\text {sg}}(A)\) of a finite-dimensional k-algebra A induces a partial order on the set of isomorphism classes of objects in \(\mathcal {D}_{\text {sg}}(A)\). 相似文献
11.
Kuniaki Horie Mitsuko Horie 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》2010,80(1):47-57
Let p be either 17 or 19, let ℤ
p
denote the ring of p-adic integers, and let l be a prime number which is a primitive root modulo p
2. We shall prove, with the help of a computer, that the l-class group of the ℤ
p
-extension over the rational field is trivial. We shall also prove the triviality of the narrow 2-class group of the same
ℤ
p
-extension. 相似文献
12.
For a fixed q ℕ and a given Σ1 definition φ(d,x), where d is a parameter, we construct a model M of 1 Δ0 + ? exp and a non standard d M such that in M either φ has no witness smaller than d or phgr; is equivalent to a formula ϕ(d,x) having no more than q alternations of blocks of quantifiers.
Received: 29 September 1998 / Revised version: 7 November 2001 Published online: 10 October 2002
RID="⋆"
ID="⋆" Research supported in part by The State Committee for Scientific Research (Poland), KBN, grant number 2 PO3A 018 13.
RID="⋆"
ID="⋆" Research supported in part by The State Committee for Scientific Research (Poland), KBN, grant number 2 PO3A 018 13. 相似文献
13.
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). |
14.
Transformations for a bilateral 2
ψ
2-series are investigated by means of Abel’s lemma on summation by parts. Two q-extensions of Dougall’s classical identity for bilateral 2H2-sum are established. As by-products, the Rogers–Fine identity is recovered and a new proof is presented for Bailey’s identity
of bilateral well-poised 6
ψ
6-series. 相似文献
15.
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
16.
We introduce two new local 1-indices of the same type as the Bourgain 1-index; the +1-index and the +1-weakly null index. We show that the +1-weakly null index of a Banach space X is the same as the Szlenk index of X, provided X does not contain 1. The +1-weakly null index has the same form as the Bourgain 1-index: if it is countable it must take values for some <1. The different 1-indices are closely related and so knowing the Szlenk index of a Banach space helps us calculate its 1-index, via the +1-weakly null index. We show that I(C())=^1++1. 相似文献
17.
The near-group rings are an important class of fusion rings in the theory of tensor categories. In this paper, the irreducible ?+-modules over the near-group fusion ring K(?3, 3) are explicitly classified. It turns out that there are only four inequivalent irreducible ?+-modules of rank 2 and two inequivalent irreducible ?+-modules of rank 4 over K(?3, 3). 相似文献
18.
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
19.
The partial ordering of Medvedev reducibility restricted to the family of 01 classes is shown to be dense. For two disjoint computably enumerable sets, the class of separating sets is an important example of a 01 class, which we call a ``c.e. separating class'. We show that there are no non-trivial meets for c.e. separating classes, but that the density theorem holds in the sublattice generated by the c.e. separating classes.
Mathematics Subject Classification (2000): 03D30, 03D25 相似文献