The extraction of local tempo and beat information from audio recordings constitutes a challenging task, particularly for music that reveals significant tempo variations. Furthermore, the existence of various pulse levels such as measure, tactus, and tatum often makes the determination of absolute tempo problematic. In this paper, we present a robust mid-level representation that encodes local ...

Nomenclature A new representation of engineering analysis models, termed product model-based analytical models (PBAMs) was introduced previously [Peak and Fulton, 1992b]. Since PBAMs link analysis information with detailed design information, they enable rapid, flexible analysis in support of product design. Nf average cycles to failure ∆ε p plastic cyclic strain range c fatigue ductility expon...

Abstract We classify $SU(2)$-cyclic and $SU(2)$-abelian 3-manifolds, for which every representation of the fundamental group into $SU(2)$ has cyclic or abelian image, respectively, among geometric 3-manifolds that are not hyperbolic. As an application, we give examples hyperbolic do admit degree-1 maps to any Seifert Fibered manifold other than $S^3$ a lens space. also produce infinitely many o...

This article describes a detailed methodology for the A-phase classification of cyclic alternating patterns (CAPs) present in sleep electroencephalography (EEG). CAPs are valuable EEG marker instability and represent an important pattern with which to analyze additional characteristics processes, manifestations have been linked some specific conditions. CAP phase detection not commonly carried ...

A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cyclic code over a field as a linear code over an auxiliary ring. By the use of the Chinese Remainder Theorem (CRT), or of the Discrete Fourier Transform (DFT), that ring can be decomposed into a direct product of fields. That ring decomposition in turn yields a code construction from codes of lower ...

Abstract. A cyclic graph is a graph with at each vertex a cyclic order of the edges incident with it specified. We characterize which real-valued functions on the collection of cubic cyclic graphs are partition functions of a real vertex model (P. de la Harpe, V.F.R. Jones, Graph invariants related to statistical mechanical models: examples and problems, Journal of Combinatorial Theory, Series ...

For any knot, the following are equivalent. (1) The infinite cyclic cover has uncountably many finite covers; (2) there exists a finite-image representation of the knot group for which the twisted Alexander polynomial vanishes; (3) the knot group admits a finite-image representation such that the image of the fundamental group of an incompressible Seifert surface is a proper subgroup of the ima...

By means of a proper notion of periodic cyclic matrix, we study the possibility of transforming a given periodic system into a canonical companion form. The passage from such form to an input-output periodic representation is straightforward. We characterize the structural properties of a system in canonical form in terms of coprimeness of the two periodic polynomials appearing in the input-out...

We use the theory of S.A.G.B.I. bases to construct a generating set for the ring of invariants for the four and five dimensional indecomposable modular representations of a cyclic group of prime order. We observe that for the four dimensional representation the ring of invariants is generated in degrees less than or equal to 2p − 3, and for the five dimensional representation the ring of invari...

We consider a finite dimensional indecomposable modular representation of a cyclic p-group and we give a recursive description of an associated separating set: We show that a separating set for a representation can be obtained by adding to a separating set for any subrepresentation some explicitly defined invariant polynomials. Meanwhile, an explicit generating set for the invariant ring is kno...