A new class of solutions of Einstein field equations has been investigated for inhomogeneous cylindrically symmetric space-time with string source. To get the deterministic solution, it has been assumed that the expansion (θ) in the model is proportional to the eigen value σ 1 of the shear tensor σ j . Certain physical and geometric properties of the models are also discussed.

A new class of cylindrically symmetric inhomogeneous string cosmological models is investigated. To get the deterministic solution, it has been assumed that the expansion (θ) in the model is proportional to the eigen value σ 1 of the shear tensor σ i j . The physical and geometric aspects of the model are also discussed.

This paper describes a novel appearance based scheme for extraction and representation of video objects. The tracking algorithm used for video object extraction is based upon a new eigen-space update scheme. We propose a scheme for organisation of video objects in an appearance based hierarchy. Appearance based hierarchy is constructed using a new SVD based eigen-space merging algorithm. The hi...

For the free vibrations of multi-degree mechanical structures appeared in structural dynamics, we solve quadratic eigenvalue problem either by linearizing it to a generalized or directly treating developing iterative detection methods for real and complex eigenvalues. To problem, impose nonzero exciting vector into eigen-equation, nonhomogeneous linear system obtain response curve, which consis...

We prove Reilly-type upper bounds for the first non-zero eigen-value of Steklov problem associated with p-Laplace operator on sub-manifolds boundary Euclidean spaces as well Riemannian products R × M where is a complete manifold.

The so-called ”acoustic revival mechanism” of core-collapse supernova proposed recently by the Arizona group is an interesting new possibility. Aiming to understand the elementary processes involved in the mechanism, we have calculated the eigen frequencies and eigen functions for the g-mode oscillations of a non-rotating proto neutron star. The g-modes have relatively small eigen frequencies. ...

In one-class classification (OCC) tasks, only the target class (class-of-interest (CoI)) samples are well defined during training, whereas other totally absent. OCC algorithms, high dimensional data adds computational overhead apart from its intrinsic property of curse dimensionality. For learning, conventional dimensionality reduction (DR) techniques not suitable due to negligence unique stati...