*Correspondence: [email protected] 1Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N. W., Calgary, AB T2N 1N4, Canada Full list of author information is available at the end of the article Abstract In this paper, we report an error in the paper of the first author in Advances in Difference Equations, 2009, article 104310, present the revised versio...

In this work we count the number of involutory, unimodal, and alternating elements of the group of signed permutations Bn, and the group of even-signed permutations Dn. Recurrence relations, generating functions, and explicit formulas of the enumerating sequences are given. © 2006 Elsevier B.V. All rights reserved. MSC: primary: 05A15; secondary: 05A19; 05A05

Let [T (n, k)]n,k>0 be a triangle of positive numbers satisfying the three-term recurrence relation T (n, k) = (a1n + a2k + a3)T (n− 1, k) + (b1n + b2k + b3)T (n− 1, k − 1). In this paper, we give a new sufficient condition for linear transformations

ASD (Abstract Stone Duality) is a re-axiomatisation of general topology in which the topology on a space is treated, not as an infinitary lattice, but as an exponential object of the same category as the original space, with an associated lambda-calculus. In this paper, this is shown to be equivalent to a notion of computable basis for locally compact sober spaces or locales, involving a family...

dent processes and domain-specific knowledge. Until recently, information extraction has leaned heavily on domain knowledge, which requires either manual engineering or manual tagging of examples (Miller et al. 1998; Soderland 1999; Culotta, McCallum, and Betz 2006). Semisupervised approaches (Riloff and Jones 1999, Agichtein and Gravano 2000, Rosenfeld and Feldman 2007) require only a small am...

Let T be an Archimedean (continuous) t-norm and ∈]0, 1 2 [. Fodor and Ovchinnikov have studied a relation between the inequality T (max(x− , 0),min(x+ , 1)) T (x, x) and the convexity of the additive generator of T . Here we clarify this relation and answer open problems from previous studies. © 2004 Elsevier B.V. All rights reserved. MSC: primary 03E72; secondary 20M05; 26E50; 68T37

Compressive properties of elastic cellular solids are studied via experiments upon foam and upon single-cell models. Open-cell foam exhibits a monotonic stress-strain relation with a plateau region; deformation is localized in transverse bands. Single-cell models exhibit a force-deformation relation which is not monotonic. In view of recent concepts of the continuum theory of elasticity, the ba...

In the first half we show an interesting relation between coherent states and the Bell states in the case of spin 1/2, which was suggested by Fivel. In the latter half we treat generalized coherent states and try to generalize this relation to get several generalized Bell states. Our method is based on a geometry and our task may give a hint to open a deep relation between a coherence and an en...