We demonstrate that a log-linear relation does not provide an adequate description of the correlation between the masses of Super-Massive Black-Holes (SMBH, Mbh) and the velocity dispersions of their host spheroid (σ). An unknown relation between logMbh and log σ may be expanded to second order to obtain a log-quadratic relation of the form log (Mbh) = α+β log (σ/200kms )+β2[log (σ/200kms )]2. ...

Simple harmonic motion of two moving tines can induce a relative motion between two adjacent stationary lines. There is both a maximum and minimum stimulus amplitude within which this motion can be seen and this depends on frequency. For a wide range of low frequencies the lower amplitude limit for induced motion is inversely proportional to frequency, suggesting that the phenomenon requires a ...

In the present paper, the Zelt algorithm has been extended for ray tracing through an anisotropic model. In anisotropic media, the direction of the propagated energy generally differs from that of the plane-wave propagation. This makes velocity values to be varied in different directions. Therefore, velocity modeling in such media is completely different from that in an isotropic media. The vel...

We construct a simple analytic model for wall-bounded turbulence, containing only four adjustable parameters. Two of these parameters are responsible for the viscous dissipation of the components of the Reynolds stress tensor. The other two parameters control the nonlinear relaxation of these objects. The model offers an analytic description of the profiles of the mean velocity and the correlat...

We construct traveling wave solutions with vortex helix structures for the Schrödinger map equation ∂m ∂t = m× (∆m−m3~e3) on R × R, of the form m(s1, s2, s3 − δ| log | t) with traveling velocity δ| log | along the direction of s3 axis. We use a perturbation approach which gives a complete characterization of the asymptotic behavior of the solutions.

1. The decay curve of the light produced in the course of the luminescent reaction in Cypridina is, after the first second, in complete agreement with the theoretical expectation for a monomolecular reaction, if light intensity at any instant is assumed to be proportional to reaction velocity at that instant. It is shown that for such a reaction log I = - kt + log Ak and that the experimental v...