We develop Galerkin spectral technique for solving boundary value problems arising in natural convection. They consist of a fourth-order b.v.p. for the stream function coupled to a second-order b.v.p. for the temperature. As a basis are used the set of socalled Beam functions introduced by Lord Rayleigh and the set of Fourier functions. The formulas for the cross expansions between the two sets...

More than 100 years ago Lord Rayleigh postulated the Duplex Theory of auditory localisation. Low frequency and wide-band sounds are localised based on interaural time differences (ITDs), while high frequency sounds are localised by interaural level differences (ILDs) [1, 2]. In natural situations, the relationship of those binaural cues is provided in the head-related transfer function (HRTF). ...

Cillie, G. C. 1932' M o n . Not. R. Astr. Soc. 92, 820. Gillie, G. C. 1936 Mon. Not. R. Astr. Soc. 96, 771. Kramers, H. A. 1923 Phil. Mag. 46, 836. Menzel, D. H. & Cilli6, G. C. 1935 Harvard Circular, no. 410. Menzel, D. H. & Cillie, G. C. 1937 Astrophys. 85, 88. Page, T. L. 1936 Mon. Not. R. Astr. Soc. 96, 604 or Commun. Univ. no. 7. Page, T. L. 1938 Nature, 141, 1137. Pannekoek, A. 1938 Mon. ...

Non-Gaussian distributions occur in systems that do not follow strictly the prescriptions of standard statistics. Important example of non-Gaussian statistics is distribution which was introduced by Lord Rayleigh in connection with the problem of interference of harmonic oscillations with random phases [1, 2]. This distribution is known also as Wigner's surmise distribution giving a remarkably ...

We develop Galerkin spectral technique for solving boundary value problems arising in natural convection. They consist of a fourth-order b.v.p. for the stream function coupled to a second-order b.v.p. for the temperature. As a basis are used the set of socalled Beam functions introduced by Lord Rayleigh and the set of Fourier functions. The formulas for the cross expansions between the two sets...

Birkhäuser Verlag, Basel–Boston–Berlin, x + 202 pp., $49.95, ISBN 978-3-76437705-2 “If the area of a membrane be given, there must evidently be some form of boundary for which the pitch (of the principal tone) is the gravest possible, and this form can be no other than the circle,” wrote Lord Rayleigh in his book “The Theory of Sound” ([R], vol. 1, §210.) A membrane is a planar domain Ω, and it...

We use diamagnetic levitation to investigate the shapes and the stability of free electrically charged and spinning liquid drops of volume ∼1 ml. In addition to binary fission and Taylor cone-jet fission modes observed at low and high charge density, respectively, we also observe an unusual mode which appears to be a hybrid of the two. Measurements of the angular momentum required to fission a ...

Rayleigh waves in a half-space exhibiting microplar transversely isotropic generalized thermoelastic properties based on the Lord-Shulman (L-S), Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories are discussed. The phase velocity and attenuation coefficient in the previous three different theories have been obtained. A comparison is carried out of the phase velocity, attenuation...

Anharmonic interactions in lattices may sustain robust oscillatory modes and (nonlinear) waves including solitons. This is illustrated here by using an exponentially repulsive interaction introduced by Toda. To cope with friction and dissipation -always present in real systemsand hence to make robust, e.g., solitons, following Lord Rayleigh, an appropriate input-output energy balance is added t...