We compute the Selberg trace formula for Hecke operators (also called the trace formula for modular correspondences) in the context of cocompact Kleinian groups with finite-dimentional unitary representations. We give some applications to the distribution of Hecke eigenvalues, and give an analogue of Huber’s theorem.

A discriminative feature extraction based on Principal component analysis (PCA) and Gaussian mixture models is presented to increase the discrimative capability of modified two dimentional root cepstrum analysis (MTDRC). The exprimental results show that F-ratio tests indicate better separability of phonemes by using discriminative feature extraction than MTDRC. Key–Words: Feature extraction,PC...

the non-uniformity factor is used for correction of the formulas obtained from the one-dimentional fluid flow method in a centrifugal impeller pump. the variations of radial velocity at the outlet of five centrifugal impellers with the specific speed of about ns =50 are calculated at design point by using two-dimentional potentional flow method for an invisid fluid. on the other hand~ the varia...

the fabrication of complex-shaped parts out of (wt %) co-28cr-6mo alloy by three-dimensional printing (3dp) was studied using two grades of the alloy with average particle sizes of 20 and 75 μm. to produce sound specimens, 3dp processing parameters were tuned. the sintering behavior of the powders was characterized by the dilatometric analysis. batch sintering in argon atmosphere at 1280 °c for...

We find that with uniform mesh, the numerical schemes derived from finite element method can keep a preserved symplectic structure in one-dimensional case and a preserved multisymplectic structure in two-dimentional case in certain discrete version respectively. These results are in fact the intrinsic reason that the numerical experiments indicate that such finite element algorithms are accurat...

In this article we consider an n-dimentional thermoelastic system with a viscoelastic damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a larger class of relaxation functions and generalizes previous results existing in the literature.

This article presents the recent work we are carrying out regarding SDIF file manipulation and SDIF sound description data representation in the Computer Assisted Composition environment OpenMusic. It explains how we use it to integrate sound processing and descriptions in the compositionnal field. Particularly, it introduces a new OpenGL based 3-dimentional SDIF file editor which we