The general Meshless Local Petrov-Galerkin (MLPG) type weak-forms of the displacement & traction boundary integral equations are presented, for solids undergoing small deformations. Using the directly derived non-hyper singular integral equations for displacement gradients, simple and straight-forward derivations of weakly singular traction BIE's for solids undergoing small deformations are als...

In this thesis we study the problems of distance approximation to monotonicity and distance approximation to convexity. Namely, we are interested in (randomized) sublinear algorithms that approximate the Hamming distance between a given function and the closest monotone/convex function. For the monotonicity property, we focus on functions over the d-dimensional hyper-cube, [n]d, with any finite...

Vibronic coupling within the excited electronic manifold of the solute all-trans-β-carotene through the vibrational motions of the solvent cyclohexane is shown to manifest as the "molecular near-field effect," in which the solvent hyper-Raman bands are subject to marked intensity enhancements under the presence of all-trans-β-carotene. The resonance hyper-Raman excitation profiles of the enhanc...

Using the core model K we determine better lower bounds for the consistency strength of some combinatorial principles: I. Assume that A is a Jonsson cardinal which is ‘accessible’ in the sense that at least one of (l)-(4) holds: (1) A is a successor cardinal; (2) A = oE and 6 <A ; (3) A is singular of uncountable cofinality; (4) A is a regular but not weakly hyper-Mahlo.Then Ot exists. II. For ...

In the field of speech adaptability to environmental conditions, the intelligibility of hyper auditory and visual speech versus normal speech was investigated. The « Lombard » reflex was used to obtain auditory sequences produced with vocal effort for a set of French /b, d, g, p, t, k/ plosives. Analysis of plosive identifications showed an improvement with the auditory hyper condition in the p...

In this paper, we characterize the computational power of dynamical systems with piecewise constant derivatives (PCD) considered as computational machines working on a continuous real space with a continuous real time: we prove that piecewise constant derivative systems recognize precisely the languages of the ω th (respectively: ω + 1 th ) level of the hyper-arithmetical hierarchy in dimension...

We propose the Hyper-Kamiokande (Hyper-K) detector as a next generation underground water Cherenkov detector [1]. It will serve as a far detector of a long baseline neutrino oscillation experiment envisioned for the upgraded J-PARC beam, and as a detector capable of observing, far beyond the sensitivity of the Super-Kamiokande (Super-K) detector, proton decays, atmospheric neutrinos, and neutri...