We consider 5-dimensional cosmological solutions of a single brane. The correct cosmology on the brane, i.e., governed by the standard 4-dimensional Friedmann equation, and stable compactification of the extra dimension is guaranteed by the existence of a nonvanishing T̂ 5 5 which is proportional to the 4-dimensional trace of the energy-momentum tensor. We show that this component of the energy-...

This paper describes the initial results of a new form of evolutionary system specifically designed for time series modeling. The system combines a grammaticallybased Genetic Programming system with various optimisation techniques. The system uses the evolutionary system to construct the structure of equations and optimisation techniques to essentially fill in the details. Three forms of optimi...

A curve which is called geodesic on a surface M in Lorentz 3-space is a special curve that its acceleration is everywhere normal to M. In this paper, we analyzed the non-linear differential equation to determine the geodesic curves on ruled surfaces which is obtained by a strictly connected spacelike straight line moving with Frenet’s frame along a timelike curve in . When we assume that curvat...

Solitons can be well described by the Lagrange formalism of effective field theories. But usually mass and coupling constants constitute phenomenological dimensions without any relation to the topological processes. This paper starts with a two-spinor Dirac equation in radial symmetry including vector Coulomb and scalar Lorentz potentials, and arrives after bosonization at the sine-Gordon equat...

In this article, we investigate the parabolic logistic equation with blow-up initial and boundary values over a smooth bounded domain Ω: ( ut −∆u = a(x, t)u− b(x, t)u in Ω× (0, T ), u =∞ on ∂Ω× (0, T ) ∪ Ω× {0}, where T > 0 and p > 1 are constants, a and b are continuous functions, with b > 0 in Ω × [0, T ), b(x, T ) ≡ 0. We study the existence and uniqueness of positive solutions, and their as...

The stability of the molecular host-guest inclusion complexes of beta-cyclodextrin with benzoate and four different hydroxybenzoates is investigated. For the measurement of the binding constants an experimental method is devised that is based on affinity capillary electrophoresis (ACE) with indirect UV absorbance detection. We derive an explicit equation for effective mobilities in ACE experime...

Temperature dependencies of thermal expansion coefficients for the alloys of Pd-Ag, Pd-Cu and Pd-Co binary systems were measured at temperatures up to 900 degrees C, with heating and cooling rates of 5 degrees C/min. The coefficient of thermal expansion of alloys with no transformation in the temperature range of interest in porcelain firing was well approximated by a linear equation of tempera...

The active component of phosphate solutions, in relation to promoter action on oxidising enzymes, is the PO(4) (''') ion. This is shown by the demonstration of a hyperbolic relationship between per cent production of CO(2) (of Elodea) and pPO(4), the measure of the phosphate ion potential. This is consistent with the rate of respiration as affected by changing pPO(4) through change of total pho...

In nematic liquid crystals light is strongly scattered from director fluctuations. We are interested in the limit where the incoming light wave is scattered many times. Then, the light transport can be described by a diffusion equation for the energy density of light with diffusion constants D‖ and D⊥, respectively, parallel and perpendicular to the director. We start from a radiative transfer ...

canola is one of the most important crops in the world and ranked as the third most important oil seed crop. adverse environmental storage conditions including high temperature and relative humidity could affect canola seed quality. the aim of this study was to evaluate the seed quality of canola seed under various seed moisture content, temperature and storage time using okapi cultivar. also, ...