Phonological ganging is a type of cumulativity in constraint interaction where one strong constraint C1 can be overtaken by two weaker constraints C2 and C3 together but not by C2 or C3 independently (e.g., Jäger and Rosenbach 2006). In strict-ranking Optimality Theory (OT), phonological ganging is achieved via (local) constraint conjunction (e.g., Smolensky 1993, 2006; Baković 2000; Ito and Me...

The analytic signal of a real signal is a standard concept in 1D signal processing. However, the deenition of an analytic signal for real 2D signals is not possible by a straightforward extension of the 1D deenition. There rather occur several diierent approaches in the literature. We review the main approaches and propose a new deenition which is based on the recently introduced quaternionic F...

We consider a labelled tableau presentation of constant domain rst-order S5 and prove a strong cut-elimination theorem.

In this paper, we derive an analytic representation of the eigenvectors and coefficients for in-plane rotated images. This, on the one hand, allows an efficient PCA-basis calculation in the learning stage and on the other hand a direct computation of the rotation angle in the recognition stage. In the experimental section, we demonstrate that the new method is feasible and the recognition and o...

In this paper, we present analytic conditions for the existence of oscillations in gene regulatory networks with cyclic structure. In particular, inherent time delays in transcription, translation and translocation process are explicitly treated, and the effects of such time delays are revealed. We first show that local instability of a unique equilibrium state results in oscillations of protei...

We consider ensembles of random polynomials of the form p(z) = ∑N j=1 ajPj where {aj} are independent complex normal random variables and where {Pj} are the orthonormal polynomials on the boundary of a bounded simply connected analytic plane domain Ω ⊂ C relative to an analytic weight ρ(z)|dz| . In the simplest case where Ω is the unit disk and ρ = 1, so that Pj(z) = z j , it is known that the ...

In Multi-Criteria Decision Analysis, the well-known weighted sum method for aggregating normalised relative priorities ignores the unit of scale that may vary across the criteria and thus causes rank reversals. A new aggregation rule that explicitly includes the norms of priority vectors is derived and shown as a remedy for it. An algorithmic procedure is presented to demonstrate how it can as ...

This paper examines the class of generalized Morse wavelets, which are eigenfunction wavelets suitable for use in time-varying spectrum estimation via averaging of time-scale eigenscalograms. Generalized Morse wavelets of order (the corresponding eigenvalue order) depend on a doublet of parameters ( , ); we extend results derived for the special case = = 1 and include a proof of “the resolution...