Confutazione dell' Esame del cristianesimo fatto dal signor Eduardo Gibbon nella sua Storia della decadenza dell'impero romano /

Contiene: v. 2.

The student's Gibbon : a history of the decline and fall of the Roman Empire /

v.1. From A.D. 98 to the death of Justinian / A.H.J. Greenidge -- v.2. From A.D. 565 to the capture of Constantinople by the Turks / J.G.C. Anderson.

Examen crítico de las doctrinas de Gibbon Strauss y Salvador : sobre Jesucristo, su Evangelio y en Iglesia /

Mode of access: Internet.

Memoirs of the life and writings of Edward Gibbon, Esq. /

Added title page for series.

Illustrations from history; or, historical facts, suitable for illustrations in speaking....Drawn from Gibbon's History of the Roman Empire /

"Non sine numine."

The life of Edward Gibbon : with selections from his correspondence and illustrations /

Running title : Memoirs of my life and writing.

The memoirs of the life of Edward Gibbon with various observations and excursions,

Mode of access: Internet.

A veteran of 1812; the life of James Fitz Gibbon.

Mode of access: Internet.

Edward Gibbon Wakefield: the colonization of South Australia and New Zealand.

Title in red and black.

Recording primate vocalizations

Ornithologists have been exploring the possibilities and the methodology of recording and archiving animal sounds for many decades. Primatologists, however, have only relatively recently become aware that recordings of primate sound may be just as valuable as traditional scientific specimens such as skins or skeletons, and should be preserved for posterity (Fig. 16.1). Audio recordings should be fully documented, archived and curated to ensure proper care and accessibility. As natural populations disappear, sound archives will become increasingly important (Bradbury et al., 1999). Studying animal vocal communication is also relevant from the perspective of behavioural ecology. Vocal communication plays a central role in animal societies. Calls are believed to provide various types and amounts of information. These may include, among other things: (1) information about the sender's identity (e.g. species, sex, age class, group membership or individual identity); (2) information about the sender's status andmood (e.g. dominance, fear or aggressive motivation, fitness); and (3) information about relevant events or discoveries in the sender's environment (e.g. predators, food location). When studying acoustic communication, sound recordings are usually required to analyse the spectral and temporal structure of vocalizations or to perform playback experiments (Chapter 11)...

Vorticity moments in four numerical simulations of the 3D Navier-Stokes equations

The issue of intermittency in numerical solutions of the 3D Navier-Stokes equations on a periodic box 0, L](3) is addressed through four sets of numerical simulations that calculate a new set of variables defined by D-m(t) = (pi(-1)(0) Omega(m))(alpha m) for 1 <= m <= infinity where alpha(m) = 2m/(4m - 3) and Omega(m)(t)](2m) = L-3 integral(v) vertical bar omega vertical bar(2m) dV with pi(0) = vL(-2). All four simulations unexpectedly show that the D-m are ordered for m = 1,..., 9 such that Dm+1 < D-m. Moreover, the D-m squeeze together such that Dm+1/D-m NE arrow 1 as m increases. The values of D-1 lie far above the values of the rest of the D-m, giving rise to a suggestion that a depletion of nonlinearity is occurring which could be the cause of Navier-Stokes regularity. The first simulation is of very anisotropic decaying turbulence; the second and third are of decaying isotropic turbulence from random initial conditions and forced isotropic turbulence at fixed Grashof number respectively; the fourth is of very-high-Reynolds-number forced, stationary, isotropic turbulence at up to resolutions of 4096(3).

Regimes of nonlinear depletion and regularity in the 3D Navier-Stokes equations

The periodic 3D Navier-Stokes equations are analyzed in terms of dimensionless, scaled, L-2m-norms of vorticity D-m (1 <= m <= infinity). The first in this hierarchy, D-1, is the global enstrophy. Three regimes naturally occur in the D-1-D-m plane. Solutions in the first regime, which lie between two concave curves, are shown to be regular, owing to strong nonlinear depletion. Moreover, numerical experiments have suggested, so far, that all dynamics lie in this heavily depleted regime 1]; new numerical evidence for this is presented. Estimates for the dimension of a global attractor and a corresponding inertial range are given for this regime. However, two more regimes can theoretically exist. In the second, which lies between the upper concave curve and a line, the depletion is insufficient to regularize solutions, so no more than Leray's weak solutions exist. In the third, which lies above this line, solutions are regular, but correspond to extreme initial conditions. The paper ends with a discussion on the possibility of transition between these regimes.

Depletion of nonlinearity in magnetohydrodynamic turbulence: Insights from analysis and simulations

It is shown how suitably scaled, order-m moments, D-m(+/-), of the Elsasser vorticity fields in three-dimensional magnetohydrodynamics (MHD) can be used to identify three possible regimes for solutions of the MHD equations with magnetic Prandtl number P-M = 1. These vorticity fields are defined by omega(+/-) = curl z(+/-) = omega +/- j, where z(+/-) are Elsasser variables, and where omega and j are, respectively, the fluid vorticity and current density. This study follows recent developments in the study of three-dimensional Navier-Stokes fluid turbulence Gibbon et al., Nonlinearity 27, 2605 (2014)]. Our mathematical results are then compared with those from a variety of direct numerical simulations, which demonstrate that all solutions that have been investigated remain in only one of these regimes which has depleted nonlinearity. The exponents q(+/-) that characterize the inertial range power-law dependencies of the z(+/-) energy spectra, epsilon(+/-)(k), are then examined, and bounds are obtained. Comments are also made on (a) the generalization of our results to the case P-M not equal 1 and (b) the relation between D-m(+/-) and the order-m moments of gradients of magnetohydrodynamic fields, which are used to characterize intermittency in turbulent flows.

Clasicismo e Ilustración: modelos sin nostalgia

Javier Alonso Aldama, Cirilo García Román e Idoia Mamolar Sánchez (eds)