Cosmochronologie nucleaire

Manoi

OPTICAL SURFACE ROUGHNESS MEASUREMENT OF MACHINED SURFACES

An optical method is described that makes measurement of surface roughness of machined parts in a wide roughness range possible. The apparatus based on a diode laser can be mounted on CNC machining centers as diagnostic tool for checking tool wear. Principles of operation and calibration results are described

JIG AND FIXTURE CAD/CAM SYSTEM

Development of CAD/CAM systems for workpiece jig and fixture has to rely on a generalpurpose CAD system, such as an AutoCAD system comprising the needed standard interfaces. So it is relatively easy to change types of the underlying CAD system and the computer. The design process is helped by a 3D functional model. This so-called Jig & Fix CAD system is an open system constructed of a modular (unified) set of 3D elements, permitting to change the set of elements, the database and the manipulation set. This CAD system may be of help in factories in the design and manufacture of NC, CNC machine tools and production cells, as well as in concluding contracts, and in tender transactions

Statistical Consequences of Devroye Inequality for Processes. Applications to a Class of Non-Uniformly Hyperbolic Dynamical Systems

In this paper, we apply Devroye inequality to study various statistical estimators and fluctuations of observables for processes. Most of these observables are suggested by dynamical systems. These applications concern the co-variance function, the integrated periodogram, the correlation dimension, the kernel density estimator, the speed of convergence of empirical measure, the shadowing property and the almost-sure central limit theorem. We proved in \cite{CCS} that Devroye inequality holds for a class of non-uniformly hyperbolic dynamical systems introduced in \cite{young}. In the second appendix we prove that, if the decay of correlations holds with a common rate for all pairs of functions, then it holds uniformly in the function spaces. In the last appendix we prove that for the subclass of one-dimensional systems studied in \cite{young} the density of the absolutely continuous invariant measure belongs to a Besov space.Comment: 33 pages; companion of the paper math.DS/0412166; corrected version; to appear in Nonlinearit

A Metric Discrepancy Result With Given Speed

It is known that the discrepancy DN{ kx} of the sequence { kx} satisfies NDN{ kx} = O((log N) (log log N) 1 + ε) a.e. for all ε> 0 , but not for ε= 0. For nk= θk, θ> 1 we have NDN{ nkx} ≦ (Σ θ+ ε) (2 Nlog log N) 1 / 2 a.e. for some 0 0 , but not for ε 0 , there exists a sequence { nk} of positive integers such that NDN{ nkx} ≦ (Σ + ε) Ψ (N) eventually holds a.e. for ε> 0 , but not for ε< 0. We also consider a similar problem on the growth of trigonometric sums. © 2016, Akadémiai Kiadó, Budapest, Hungary