Acoustic scattering by mildly rough unbounded surfaces in three dimensions

For a nonlocally perturbed half- space we consider the scattering of time-harmonic acoustic waves. A second kind boundary integral equation formulation is proposed for the sound-soft case, based on a standard ansatz as a combined single-and double-layer potential but replacing the usual fundamental solution of the Helmholtz equation with an appropriate half- space Green's function. Due to the unboundedness of the surface, the integral operators are noncompact. In contrast to the two-dimensional case, the integral operators are also strongly singular, due to the slow decay at infinity of the fundamental solution of the three-dimensional Helmholtz equation. In the case when the surface is sufficiently smooth ( Lyapunov) we show that the integral operators are nevertheless bounded as operators on L-2(Gamma) and on L-2(Gamma G) boolean AND BC(Gamma) and that the operators depend continuously in norm on the wave number and on G. We further show that for mild roughness, i.e., a surface G which does not differ too much from a plane, the boundary integral equation is uniquely solvable in the space L-2(Gamma) boolean AND BC(Gamma) and the scattering problem has a unique solution which satisfies a limiting absorption principle in the case of real wave number.

One’s own soundtrack: affective music synthesis

Computer music usually sounds mechanical; hence, if musicality and music expression of virtual actors could be enhanced according to the user’s mood, the quality of experience would be amplified. We present a solution that is based on improvisation using cognitive models, case based reasoning (CBR) and fuzzy values acting on close-to-affect-target musical notes as retrieved from CBR per context. It modifies music pieces according to the interpretation of the user’s emotive state as computed by the emotive input acquisition componential of the CALLAS framework. The CALLAS framework incorporates the Pleasure-Arousal-Dominance (PAD) model that reflects emotive state of the user and represents the criteria for the music affectivisation process. Using combinations of positive and negative states for affective dynamics, the octants of temperament space as specified by this model are stored as base reference emotive states in the case repository, each case including a configurable mapping of affectivisation parameters. Suitable previous cases are selected and retrieved by the CBR subsystem to compute solutions for new cases, affect values from which control the music synthesis process allowing for a level of interactivity that makes way for an interesting environment to experiment and learn about expression in music.

Trust and relational embeddedness: exploring a paradox of trust pattern development in key supplier relationships

This paper explores the role of trust as an enabler and constraint between buyers and suppliers engaged in long-term relationships. According to the relational view, cooperative strategies require trust-based mutual commitments to co-create value. However, complete pictures of the positive and negative outcomes from trust development have yet to be fully developed. In particular, trust as an originator of path dependent constraints resulting from over embeddedness is yet to be integrated into the relational view. We use a case-based methodology to explore whether trust is an optimizing phenomenon in key supplier relationships. Two cases where trust development processes demonstrate a paradox of trust-building behaviors cultivate different outcomes constraining value co-creation.

Der Wissenschaftlichkeit auf der Spur: zum Einsatz von Korpora in der Vermittlung des Deutschen als (fremder) Wissenschaftssprache

Recently, Corpus Linguistics has become a popular research tool in the field of German as a Foreign Language. However, little attention has been paid to teaching and learning potentials that corpora and corpus-based teaching offer. This paper seeks to demonstrate some of the ways in which corpus-based techniques can be used for teaching purposes, even by those who have little experience in Corpus Linguistics. The focus will be on teaching and learning German for Academic Purposes in German Studies abroad.