The paper is devoted to the geometrical theory, on the phase space, of the classical concept of scleronomic Riemannian mechanical systems in the general case when the external forces depend on the material points and their velocities. We discuss the canonical semispray, the nonlinear connection, the metrical connection, the electromagnetic field and the almost Hermitian model of the mentioned m...

Categorization of rhythmic patterns is prevalent in musical practice, an example of this being the transcription of (possibly not strictly metrical) music into musical notation. In this article we implement a dynamical systems' model of rhythm categorization based on the resonance theory of rhythm perception developed by Large (2010). This model is used to simulate the categorical choices of pa...

0. Introduction The last five or six years have seen a substantial change in the nature of research into phonological theory. This change has been marked by the development of several new theoretical frameworks, for which we can use the somewhat awkward and misleading term "nonlinear phonology". In this short essay, I hope to give an introduction to the various ideas underlying nonlinear phonol...

The main goal of this note is to develop a metrical theory of Diophantine approximation within the framework of the de Mathan-Teulié Conjecture – also known as the ‘Mixed Littlewood Conjecture’. Let p be a prime. A consequence of our main result is that, for almost every real number α lim inf n→∞ n(log n)|n|p ‖nα‖ = 0 . Mathematics Subject Classification 2000: 11J83, 11J25, 11K55, 11K60

the fixed point alternative methods are implemented to givehyers-ulam  stability for  the quintic functional equation $ f(x+3y)- 5f(x+2y) + 10 f(x+y)- 10f(x)+ 5f(x-y) - f(x-2y) = 120f(y)$ and thesextic functional equation $f(x+3y) - 6f(x+2y) + 15 f(x+y)- 20f(x)+15f(x-y) - 6f(x-2y)+f(x-3y) = 720f(y)$   in the setting ofintuitionistic fuzzy normed spaces (ifn-spaces).  this methodintroduces a met...

Abstract In his Old English grammar , A. Campbell put forward theory of accentuation, according to which disyllabic words like Bēowulf and ǣniġ receive a half-stress only if made trisyllabic by the addition an inflection (as in Bēowulfes or ǣniġra ), provided middle syllable is heavy. J. Bliss tacitly rejected Campbell’s analysis when he postulated existence metrical type 3B2, rare rhythmical p...

In a production study, Bulgarian, English and German verses with regular poetic metrical metres of different types and elicited prose utterances with varied accentual patterns are produced in textual and iterative (dada) form and measured at syllable level according to the pairwise variability index (PVI) principle. Systematic differences in PVI values show that the measure is sensitive to metr...

We propose a factored approach to mobile robot mapbuilding that handles qualitatively different types of uncertainty by combining the strengths of topological and metrical approaches. Our framework is based on a computational model of the human cognitive map; thus it allows robust navigation and communication within several different spatial ontologies. This paper focuses exclusively on the iss...