purpose: to assess the agreement of ultrasonic pachymetry, the galilei dual scheimpflug analyzer and orbscan ii in measuring central corneal thickness (cct) in normal and keratoconic eyes. methods: in this prospective comparative study, cct was measured in 88 refractive surgery candidates and 76 (39 right) eyes of 45 keratoconic patients using ultrasonic pachymetry, galilei and orbscanii. readi...

The Lie bialgebras of the (1+1) extended Galilei algebra are obtained and classified into four multiparametric families. Their quantum deformations are obtained, together with the corresponding deformed Casimir operators. For the coboundary cases quantum universal R-matrices are also given. Applications of the quantum extended Galilei algebras to classical integrable systems are explicitly deve...

A particular deformation of central extended Galilei group is considered. It is shown that the deformation influences the rules of constructing the composed systems while one particle states remain basically unaffected. In particular the mass appeared to be non additive.

as wireless networks with high data rate get widely deployed, improving the performance of tcp over these networks plays vital role. wireless link losses have dramatic adverse impact on tcp performance due to the difficulty in distinguishing the congestion losses from wireless link losses. we first, studied the various existing bandwidth estimation algorithms over the wireless networks. in this...

Finite-dimensional nonrelativistic conformal Lie algebras spanned by polynomial vector fields of Galilei spacetime arise if the dynamical exponent is z = 2/N with N = 1, 2, . . . . Their underlying group structure and matrix representation are constructed (up to a covering) by means of the Veronese map of degree N . Suitable quotients of the conformal Galilei groups provide us with Newton-Hooke...

The noncommutative spacetimes associated to the κ-Poincaré relativistic symmetries and their “non-relativistic” (Galilei) “ultra-relativistic” (Carroll) limits are indistinguishable, since coordinates satisfy same algebra. In this work, we show that three quantum kinematical models can be differentiated when looking at spaces of time-like worldlines. Specifically, construct geodesics with κ-Gal...

The “Jackiw-Nair” non-relativistic limit of the relativistic anyon equations provides us with infinite-component wave equations of the Dirac-Majorana-Lévy-Leblond type for the “exotic” particle, associated with the two-fold central extension of the planar Galilei group. An infinite dimensional representation of the Galilei group is found. The velocity operator is studied, and the observable coo...