1 Strongly Order-Preserving Semiflows 6 1.1 Definitions and Basic Results . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Nonordering of Omega Limit Sets . . . . . . . . . . . . . . . . . . . . . . 12 1.3 Local Semiflows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.4 The Limit Set Dichotomy . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.5 Q is plentiful ....

As an application of the dual equivalence between the category of L-spatialC-objects and the category of L-sober C-M-L-spaces, it is shown in this paper that for a fixed augmented partially ordered set A, there exists a dual equivalence between the category of A-spatial augmented partially ordered sets and the category of A-sober A-valued spaces. Then, with regard to this duality, for a fixed (...

This document denotes the typos in the following paper: N. Ohkura, K. Hirata, T. Kuboyama, M. Harao: The q-Gram Distance for Ordered Unlabeled Trees, Proc. 8th International Conference on Discover Science (DS2005), LNAI, Springer-Verlag, 2005 (to appear). 1 Section 2, the First Paragraph Please replace the first paragraph with the following statements. A tree is a connected graph without cycles...

An ordered partition with k blocks of [n] := {1, 2, . . . , n} is a sequence of k disjoint and nonempty subsets, called blocks, whose union is [n]. In this article, we consider Steingŕımsson’s conjectures about Euler-Mahonian statistics on ordered partitions dated back to 1997. We encode ordered partitions by walks in some digraphs and then derive their generating functions using the transfer-m...

Using the idea of a quasi-coincedence of a fuzzy point with a fuzzy set, the concept of an (α, β)-fuzzy bi-ideal in ordered semigroups is introduced, which is a generalization of the concept of a fuzzy bi-ideal in ordered semigroups and some interesting characterizations theorems are obtained. A special attention is given to (∈,∈ ∨q)-fuzzy bi-ideals. 2000 Mathematics Subject Classification: 06F...

0092-6566/$ see front matter 2013 Elsevier Inc. All rights reserved. http://dx.doi.org/10.1016/j.jrp.2013.08.013 ⇑ Corresponding author. Address: Department of Psychology, Florida Atlantic University, 777 Glades Road, Boca Raton, FL 33431, United States. E-mail address: [email protected] (D.G. Serfass). 1 While a large body of research using Q-Sorts follows the procedure prescribed by Stephenson...

The \unsharpness problem" is solved by the construction of a nite Although this equation fails in general, it does hold under slightly stronger hypotheses. x1 In recent years various relation-algebraic formulations of the properties of pairs of projection functions naturally associated with direct products have appeared in the literature of computer science. Two particular relevant examples are...

Let P and Q be finite partially ordered sets with |P | = |Q| = d, and C(P ) ⊂ R and C(Q) ⊂ R their chain polytopes. The twinned chain polytope of P and Q is the normal Gorenstein Fano polytope Γ(C(P ),−C(Q)) ⊂ R which is the convex hull of C(P )∪(−C(Q)). In this paper, we study combinatorial properties of twinned chain polytopes. First, we will give the formula of the volume of twinned chain po...

The Q-state Potts model in two dimensions is very fertile ground for the investigation of phase transitions and critical phenomena. For Q = 2 and 3 there is a second order phase transition between Q ferromagnetic ordered states and a disordered state. For Q = 4 the transition is also second order, but the usual critical behavior is modified by strong logarithmic corrections. For Q > 4 the trans...

For an anti-congruence q we say that it is regular anti-congruence on semigroup (S,=, =, ·, α) ordered under anti-order α if there exists an antiorder θ on S/q such that the natural epimorphism is a reverse isotone homomorphism of semigroups. Anti-congruence q is regular if there exists a quasi-antiorder σ on S under α such that q = σ ∪ σ−1. Besides, for regular anti-congruence q on S, a constr...