Sentence examples for behavior of the constants from inspiring English sources

As application, we obtain the sharp asymptotic behavior of the constants for the strong Lp inequalities, also unknown up to now.

For multilinear mappings, precise information on the asymptotic behavior of the constants of the Bohnenblust Hille inequality is of particular importance for applications in Quantum Information Theory and multipartite Bell inequalities.

The behavior of the constant c in (b) is not explicitly obtained in [6].

We are concerned with the global existence, boundedness of time-independent solutions, the asymptotical behavior of the constant steady states, and the bifurcations from the positive steady-state solutions.

Also, we consider the behavior of the constant ratio r of energy densities which is a function of the model parameters w1 and w2 given as r = ρ 2 ρ 1 = − 1 + 2 w 1 1 + 2 w 2 Open image in new window.

It suggests that both Si O and Si C polar groups present in the deposited films may have the predominant effect on the behavior of the dielectric constant.

This behavior of the dielectric constant is explained on the basis of coating of BaTiO3 particles by PANI which in turn is attributed to the highly surface adsorbing character.

These threshold pressures are also clearly visible in behavior of the dielectric constant ε ' (P) =  ε(P).

Thus, an Arrhenius behavior of the rate constant is obtained for all practical purposes, despite the quantum mechanical nature of the tunneling.

At La Soufrière de Guadeloupe (French Lesser Antilles), despite large rainfalls dramatically influencing the thermal behavior of the soil, a constant geothermal heat flux is retrieved by the ETH method, confirming the absence of fumarolic crisis during the observation period (February August 2010).

Open image in new window Fig. 6 Behavior of the model for constant λ × Q.