Spectral analysis considers the problem of determining (the art of recovering) the spectral content (i.e., the distribution of power over frequency) of a stationary time series from a finite set of measurements, by means of either nonparametric or parametric techniques. This paper introduces the spectral analysis problem, motivates the definition of power spectral density functions, and reviews...

cu-mo and cu-ti contact structures were fabricated on multi-crystalline silicon substrates to provide a low resistance ohmic contact. deposition steps are done in an excellent vacuum chamber by means of electron beam evaporation and samples are then annealed for the realization of an efficient alloy layer. the effects of process parameters such as film thickness, annealing duration and temperat...

Rigid body dynamics with contact constraints can be solved locally using linear complementarity techniques. However, these techniques do not impose the original constraints and need stabilization. In this paper we show how constraint stabilization can also be done in a complementarity framework. Our technique effectively eliminates the drift problem for both equality and inequality constraints ...

A solution is presented to a doubly mixed boundary value problem of the torsion of an elastic layer, partially resting on a rigid circular base by a circular rigid punch attached to its surface. This problem is reduced to a system of dual integral equations using the Boussinesq stress functions and the Hankel integral transforms. With the help of the Gegenbauer expansion formula of the Bessel f...

Solving technical problems involves the use of good techniques. Data processing problems frequently involve a great deal of data manipulation and computing resources. When confronted with problems of this nature, you could approach them using conventional DATA, and/or PROC step methods, or you could use the strengths of the SQL procedure to manipulate and process this data. Attendees will learn...

This paper describes a new algorithm for determining all discrete contact symmetries of any differential equation whose Lie contact symmetries are known. The method is constructive and is easy to use. It is based upon the observation that the adjoint action of any contact symmetry is an automorphism of the Lie algebra of generators of Lie contact symmetries. Consequently, all contact symmetries...

We are interested in minimizing functionals with l2 data and gradient fitting term and l1 regularization term with higher order derivatives in a discrete setting. We examine the structure of the solution in 1d by reformulating the original problem into a contact problem which can be solved by dual optimization techniques. The solution turns out to be a ’smooth’ discrete polynomial spline whose ...

Inhomogeneity and anisotropy play a crucial role in attributing articular cartilage its properties. The frictionless contact model constructed here consists in two thin biphasic transversely isotropic transversely homogeneous (TITH) cartilage layers firmly attached onto rigid substrates and shaped as elliptic paraboloids of different radii. Using asymptotic techniques, a solution to the deforma...