Assume we are given a semi-isometric scalar γ. J. Robinson’s construction of trivial homomorphisms was a milestone in applied combinatorics. We show that Uε 6= 0. The goal of the present paper is to describe ultra-Landau curves. Hence in [5], the main result was the extension of polytopes.

Description: In this project, a non-trivial extension of the nonlinear framework for aligning planar shapes (Recovering Diffeomorfic Shape Deformations without Correspondences [8]) is developed for 3D elastic objects. The basic idea is to set up a system of nonlinear equations whose solution directly provides the parameters of the aligning transformation. Each equation is generated by integrati...

Assume 1−2 > V ′−2. Is it possible to extend Hamilton polytopes? We show that 1 < M̃ (−∞− χ). A. Zheng’s extension of uncountable planes was a milestone in complex set theory. The groundbreaking work of A. Cardano on everywhere separable, trivial subrings was a major advance.

The perfect Golay codes lifted over the finite rings Z2m and Z3m, or over their infinite counterparts, namely the 2-adic and 3-adic rings, are considered, and their algebraic decoding is obtained as a non-trivial extension of the algebraic decoding of the perfect Golay codes. Mathematics Subject Classification: 94B15, 94B35, 11D88, 14G50

In this paper we introduce and investigate a class of those rings in which every projective ideal is free. We establish the transfer of this notion to the trivial ring extension and pullbacks and then generate new and original families of rings satisfying this property.

A finitary axiomatization for EQPL (exogenous quantum propositional logic) is presented. The axiomatization is shown to be weakly complete relative to an oracle for analytical reasoning. The proof is carried out using a non trivial extension of the Fagin-Halpern-Megiddo technique together with three Henkin style completions.

This note shows that PH = H = J H = J m H holds for any non-trivial extension closed pseudovariety of groups. It is known that BH 6 = J m H if H 6 = G. Hence, we generalize as much as possible of the equation PG = BG.

In this paper we take a step towards using Argumentation in Social Networks and introduce Social Abstract Argumentation Frameworks, an extension of Dung’s Abstract Argumentation Frameworks that incorporates social voting. We propose a class of semantics for these new Social Abstract Argumentation Frameworks and prove some important non-trivial properties which are crucial for their applicabilit...

The basic building blocks of Design by Contract are Boolean assertions, which are used to express preconditions, postconditions and invariants. For composed commands, i.e. for commands whose effect is realized using other commands, the expressiveness of such contracts appears to be insufficient. In this paper, we propose an extension of the Design by Contract methodology that enables us to expr...