We study the conformal properties of the multi-constraint KP hierarchy and its nonstandard partner by covariantizing their corresponding Lax operators. The associated second Hamiltonian structures turn out to be nonlocal extension of Wn algebra by some integer or half-integer spin fields depending on the order of the Lax operators. In particular, we show that the complicated second Hamiltonian ...

We combine two research directions of the past decade, namely the development of a lax-algebraic framework for categories of interest to topologists and analysts, and the exploration of key topological concepts, like separation and compactness, in an abstract category which comes equipped with an axiomatic notion “closed” or “proper” map. Hence, we present various candidates for such notions in...

We present a method for numerical wave propagation in a heterogeneous medium. The medium is defined in terms of an extended scatterer or target which is surrounded by many small scatterers. By extending the classic Foldy-Lax formulation we developed an efficient algorithm for numerical wave propagation in two dimension. In the method that we set forth multiple scattering among the point scatter...

This study examines the vowel-intrinsic fundamental frequency (IF0) for tense and lax vowels in German: These show a similar F0 but differ in their articulatory vowel height. This is contrary to commonly accepted biomechanical theories explaining IF0 by a physiological linkage between the upper vocal tract and the larynx. To examine this phenomenon, acoustic, electroglottographic and articulato...

This study uses the Rd glottal waveshape parameter to simulate the phonatory tense-lax continuum and to explore its affective correlates in terms of activation and valence. Based on a natural utterance which was inverse filtered and sourceparameterised, a range of synthesized stimuli varying along the tense-lax continuum were generated using Rd as a control parameter. Two additional stimuli wer...

For a quantaloid Q, considered as a bicategory, Walters introduced categories enriched in Q. Here we extend the study of monad-quantale-enriched categories of the past fifteen years by introducing monad-quantaloid-enriched categories. We do so by making lax distributive laws of a monad T over the discrete presheaf monad of the small quantaloid Q the primary data of the theory, rather than the l...

By regarding the classical non abelian cohomology of groups from a 2-dimensional categorical viewpoint, we are led to a non abelian cohomology of groupoids which continues to satisfy classification, interpretation and representation theorems generalizing the classical ones. This categorical approach is based on the fact that if groups are regarded as categories, then, on the one hand, crossed m...

The dependence of the sixth equation of Painlevé on its four parameters (2α,−2β, 2γ, 1− 2δ) = (θ ∞ , θ 0 , θ 2 1 , θ 2 x) is holomorphic, therefore one expects all its Lax pairs to display such a dependence. This is indeed the case of the second order scalar “Lax” pair of Fuchs, but the second order matrix Lax pair of Jimbo and Miwa presents a meromorphic dependence on θ∞ (and a holomorphic dep...

We study the conformal properties of the multi-constraint KP hierarchy and its nonstandard partner by covariantizing their corresponding Lax operators. The associated second Hamiltonian structures turn out to be nonlocal extension of Wn algebra by some integer or half-integer spin fields depending on the order of the Lax operators. In particular, we show that the complicated second Hamiltonian ...

conclusions it was the first study that attempted to detect the insertion elements isaba and ic lineages in mdr-ab species isolated from patients with burning in iran. background multidrug resistant strains of acinetobacter baumannii (mdr-ab) have emerged as alarming nosocomial pathogens among patients with burning. objectives the current study aimed to determine the susceptibility of a. bauman...