A new formula is obtained for the holomorphic bi-differential operators on tube-type domains which are associated to decomposition of tensor product two scalar representations, thus generalizing classical Rankin-Cohen brackets. The involves a family polynomials several variables may be considered as (weak) generalization Jacobi polynomials.

Exergy analysis is based on combined first and second laws of thermodynamics and is a useful tool to analyze the energy systems in a better and more realistic way than an energy analysis, based on the first law of thermodynamics. Combination of exergy from thermodynamics with conventional concepts from engineering economy which is referred to as thermo-economy (exergo-economy) is a valuable too...

This paper aims at studying a trigeneration system, based on an internal combustion engine and a steam ejector refrigeration system. The designed cycle is to generate cooling and heating energies, and supply power simultaneously. The cycle is studied from thermodynamics point of view and for this purpose, the first law of thermodynamics is applied to all components of the cycle. The efficiency ...

The cycle-by-cycle power differential determines the noise introduced due to inductive ground bounce. However, very few attentions are paid to minimize the cycle-by-cycle power differential in high-level synthesis stage. In this paper, we investigate the simultaneous application of operation scheduling and operation delay selection for minimizing the cycle-by-cycle power differential. An intege...

We recently established the holomorphic continuation and functional equation of the exterior square L-function for GL(n,Z), and more generally, the archimedean theory of the GL(n) exterior square L-function over Q. We refer the reader to our paper [15] for a precise statement of the results and their relation to previous work on the subject. The purpose of this note is to give an account of our...

Zagier pursues the study of the algebraic structure that this operation gives to the ring of modular forms viewed as a differential module, observing that it is “not clear how far we would have to go to get the first relation or how much further to ensure that all subsequent relations obtained would be consequences of ones already found”. Instead of determining the relations, he proposes the ab...