This paper aims to present cartographic rules for the production of paper and electronic navigational charts and main differences in compilation, visualisation and representation of nautical information. Major differences between paper nautical charts and ENC are visualisation of nautical data: colour mixing, resolution of represented nautical objects, human control of display representation an...

We provide a coupling proof that the transposition shuffle on a deck of n cards is mixing of rate n log(n) with a moderate constant. This has already been shown by Diaconis and Shahshahani but no natural coupling proof has been demonstrated to date. We also enlarge the methodology of coupling to include intuitive but nonadapted coupling rules, for example, to take in account future events and t...

We review the properties of quarkonia under strong magnetic fields. The main phenomena are (i) mixing between different spin eigenstates, (ii) quark Landau levels and deformation wave function, (iii) modification $$\bar{Q}Q$$ potential, (iv) motional Stark effect. For theoretical approaches, we constituent models, effective Lagrangians, QCD sum rules, holographic approaches.

The φa 0 γ-and φσγ-vertices in light cone QCD Abstract We study φa 0 γ-and φσγ-vertices in the framework of the light cone QCD sum rules and we estimate the coupling constants g φa 0 γ and g φσγ utilizing ωφ-mixing. We compare our results with the previous estimations of these coupling constants in the literature obtained from phenomenological considerations .

In this work, the cholesterol concentration in the supercritical (SC) CO2, under working conditions, is calculated by implementing the modified Peng Robinson equation of state (EoS) combined with the Van Der Waals mixing rules. Here, optimisations of the interaction coefficient (kij) between solvent and solute and the solute critical parameters (i.e. critical pressure and temperature) are the m...

The games of three-dimensional life are the extension models of Conway’s Game of Life. Under the framework of symbolic dynamics, we undertake an analysis of the complexity of gliders in games of threedimensional life rules by the directed graph representation and transition matrix. More specifically, the gliders here are topologically mixing and possess positive topological entropy on their con...

We investigate the Kepler problem using a symplectic structure consistent with the commutation rules of the noncommutative quantum mechanics. We show that a noncommutative parameter of the order of 10m gives observable corrections to the movement of the solar system. In this way, modifications in the physics of smaller scales implies modifications at large scales, something similar to the UV/IR...

Abstract Generalized Kramers–Kronig (K–K) type dispersion relations and sum rules are derived in the static limit for moments of degenerate four wave mixing susceptibility. The nonlinear susceptibility is different from a typical use conventional K–K relations, which assume absence complex poles function upper half frequency plane, whereas has simultaneous both planes. In derivation generalized...