This study is concerned to check the validity and applicability of a five parameter viscoelastic model for harmonic wave propagating in the non-homogeneous viscoelastic rods of varying density. The constitutive relation for five parameter model is first developed and validity of these relations is checked. The non-homogeneous viscoelastic rods are assumed to be initially unstressed and at rest....

We give sufficient conditions for the tautness of a transversely homogenous foliation defined on compact manifold, by computing its base-like cohomology. As an application, we prove that if is non-unimodular then either ambient closure leaves or total space associated principal bundle fiber over S 1 .

A more realistic way to describe a model is the use of intervals which contain required values parameters. In practice we estimate parameters from set data and it natural that they will be in confidence intervals. present study, study Non-Homogeneous Markov Systems (NHMS) processes for basic are We call such Set (NHMSS). First relative expected population structure memberships prove under certa...

Rendering of highly scattering media is computationally expensive in general. While existing BSSRDF models can accurately and efficiently approximate light scattering in homogeneous media, we still have to resort to costly Monte Carlo simulation for heterogeneous media. We propose a simple parameter estimation method which enables homogeneous BSSRDF models to approximate the appearance of heter...

The aim of the present paper is to investigate the surface waves in a non-homogeneous, isotropic, visco-elastic solid medium of nth order including time rate of strain. The theory of generalized surface waves has firstly been developed and then it has been employed to investigate particular cases of waves, viz., Stonely and Rayleigh, Love type. The wave velocity equations have been obtained for...

in this paper we introduce a new definition of the first non-abelian cohomology of topological groups.  we relate the cohomology of a normal subgroup $n$ of a topological group $g$ and the quotient $g/n$ to the cohomology of $g$. we get the inflation-restriction exact sequence. also, we obtain a seven-term exact cohomology sequence up to dimension 2. we give an interpretation of the first non-a...