Existing bounds on the minimum weight d of the dual 7-ary code of a projective plane of order 49 show that this must be in the range of 75 < d < 99. We use combinatorial arguments to improve this range to 87 < d < 99, noting that the upper bound can be taken to be 91 if the plane has a Baer subplane, as in the desarguesian case. A brief survey of known results for the minimum weight of the dual...

In ring theory, the notion of annihilator is an important tool for studying the structures. Many characterizations and structure theorems can be derived by using this notion. On the other hand, certain classes of rings (e.g., Baer rings and Rickart rings) are defined by considering annihilators ideals. In the present work, we introduce a class of rings which is close to the class of Rickart rin...

Suppose that q is a prime power exceeding five. For every integer N there exists a 3-connected GF(q)-representable matroid, in particular, a free spike or a free swirl, that has at least N inequivalent GF(q)-representations. In contrast to this, Geelen, Oxley, Vertigan and Whittle have conjectured that, for any integer r > 2, there exists an integer n(q, r) such that if M is a 3-connected GF(q)...

In this paper, we introduce a new concept of generalized matrix rings and build up the general theory of radicals for g.m.rings. Meantime, we obtain r̄b(A) = g.m.rb(A) = ∑ {rb(Aij) | i, j ∈ I} = rb(A)

word count: 209 Full text word count: 15,305 Figures: 3 Address correspondence to: Elliot Berkman [email protected] 1227 University of Oregon Eugene, OR USA 97403-1227 Phone: 541-346-4909 Fax: 541-346-4911 IN PRESS AT PSYCHOLOGICAL INQUIRY IDENTITY-VALUE MODEL 2

Fractional calculus (FC) generalizes standard integrals and derivatives to non-integer or even to complex order [Diethelm, 2010], [Kilbas et al., 2006], [Klimek, 2009], [Miller & Ross, 1993], [Oldham & Spanier, 1974], [Podlubny, 1999], [Samko et al., 1993]. During the last decade it was found that FC plays a fundamental role in the modelling of a considerable number of phenomena characterized b...

We prove that the interaction among neutral atoms in ThomasFermi theory behaves, for large separation I, like Π~. The constant Γ is independent of the atomic nuclear charges, but does depend on the relative positions of the nuclei. We also show that Γ is not a simple sum of pair terms, i.e. in TF theory three and higher body terms persist into the asymptotic (in /) region.

The ways of using the Elliot–MacMahon algorithm to compute the Hilbert base of a system of linear Diophantine equations known so far are either not efficient or can fail to terminate. We present a version of an algorithm exploiting this range of ideas, which however is reasonably efficient as well as finite.

Gudrun Bachmann, University of Basel, Switzerland Peter Baumgartner, Fern-University of Hagen, Germany Claudia Bremer, University of Frankfurt/Main, Germany Rafael Corchuelo, University of Sevilla, Spain Gregor Engels, University of Paderborn, Germany Andreas Holzinger, University of Graz, Austria Ali R. Hurson, Pennsylvania State University, USA Reinhard Keil-Slawik, University of Paderborn, G...

Based on the fact that the relationships among student teachers’ efficacy beliefs, achievement goals, and conceptions about teaching and learning has remained to be investigated to date, this study aimed to examine student teachers’ efficacy beliefs and achievement goals as predictors of their conceptions about teaching and learning. Results of the present study showed that student teachers’ co...