We prove the existence of a Gevrey family of invariant curves for analytic reversible mappings under weaker nondegeneracy condition. The index of the Gevrey smoothness of the family could be any number μ > τ 2, where τ > m − 1 is the exponent in the small divisors condition and m is the order of degeneracy of the reversible mappings. Moreover, we obtain a Gevrey normal form of the reversible ma...

A palladium composite membrane was prepared via electroless plating technique using organic-inorganic method during activation process. The ceramic support surface was modified by two TiO2-boehmite and one γ-alumina layers to avoid Pd penetration in support pores. Thin and defect-free Pd composite membrane was obtained by creating a relative smoothness on the ceramic support and using Pd nanopa...

The feeling of smoothness during the touching is delivered when the finger is rubbed on the surface. A static contact cannot provide such an information. The roughness noise, that is the friction noise generated during the sliding of two rough surfaces, is therefore the key phenomenon for the feeling of smoothness. To this end, a triboacoustical probe has been designed. This is a sort of artifi...

We investigate a method for extracting nonlinear principal components (NPCs). These NPCs maximize variation subject to smoothness and orthogonality constraints; but we allow for a general class of constraints and multivariate probability densities, including densities without compact support and even densities with algebraic tails. We provide primitive sufficient conditions for the existence of...

Uniform quantization of wavelet coefficients introduces perceptually disturbing artifacts by decreasing the visual smoothness. In this paper, the local Holder regularity is used to quantify these changes in visual smoothness. A modified uniform quantization scheme that constrains local regularity reduction is proposed. The quantizer modification is applicable to any uniform quantization scheme ...

Abstract We summarise the results of a computational study involved with Uncertainty Quantification (UQ) in benchmark turbulent burner flame simulation. UQ analysis this simulation enables one to analyse convergence performance most widely-used uncertainty propagation techniques, Polynomial Chaos Expansion (PCE) at varying levels system smoothness. This is possible because simulations, smoothne...

In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has.

In this paper, we consider the problem of devising a loop scheduler that allocates slots to users according to their relative weights as smoothly as possible. Instead of the existing notion of smoothness based on balancedness, we propose a variance-based metric which is more intuitive and easier to compute. We propose a recursive loop scheduler for a class-based scheduling scenario based on an ...