The Kochia Chronicles by Khanjan Mehta

Events in Multimedia Electronic Chronicles (E-Chronicles)

The nature of information has changed significantly in the last two decades. Now information is multimedia, sensitive to its spatio-temporal roots, live, and dynamic. Current database and search technology is very limited in addressing organization, management, and access of emerging information systems. In this paper, we address some of the fundamental issues that must be addressed in general ...

Dronenet: The Quad Chronicles

A complex electrical engineering project, Dronenet, is a design and system integration of four major subsystems: an unmanned aerial vehicle (UAV), a control terminal for the UAV, a mobile UAV carrier, and a control terminal for the mobile UAV carrier. Dronenet has a unique regenerative charging system based on the design of a Bedini motor to extend the duration of Pb and LiPo batteries. This pr...

Difference Macdonald - Mehta conjecture

with respect to the Gaussian measure. Macdonald extended it from An−1 to other root systems and verified his conjecture for classical ones by means of the Selberg integrals [M1]. It was established by Opdam in [O1] in full generality using the shift operators. The integral is an important normalization constant for a k-deformation of the Hankel transform introduced by Dunkl [D]. The generalized...

On Cherednik–macdonald–mehta Identities

In this note we give a proof of Cherednik’s generalization of Macdonald–Mehta identities for the root system An−1, using representation theory of quantum groups. These identities give an explicit formula for the integral of a product of Macdonald polynomials with respect to a “difference analogue of the Gaussian measure”. They were suggested by Cherednik, who also gave a proof based on represen...

Diierence Macdonald-mehta Conjecture