Measurement methodology of projectors in confined environment

The intent of this paper is to describe the first stages of potentially ongoing collaborative research between the United States Naval Research Laboratory's Underwater Sound Reference Detachment (USRD) and France's DCN Ingénierie centre Sud Département Lutte Sous-Marine (DCN/SUD/DLSM). The immediate focus of this collaborative work is on high Q electroacoustic transducer calibration in reverberation limited environments. This paper will be divided into three sections : the first one, a description of the motivating problem in reverberation limited measurements, the second one, a description of the two techniques developed by each laboratory, finally, research results and the activities necessary to complete the work in progress

Generalization of Risch's Algorithm to Special Functions.

Symbolic integration deals with the evaluation of integrals in closed form. We present an overview of Risch’s algorithm including recent developments. The algorithms discussed are suited for both indefinite and definite integration. They can also be used to compute linear relations among integrals and to find identities for special functions given by parameter integrals. The aim of this presentation is twofold: to introduce the reader to some basic ideas of differential algebra in the context of integration and to raise awareness in the physics community of computer algebra algorithms for indefinite and definite integration