In this short paper, new properties of transition matrix were introduced. Eigen values for small order transition matrices are calculated in flexible method. For benefit of these properties applications of these properties were studied in the solution of Markov's chain via steady state vector, and information theory via channel entropy. The implemented test examples were promised for usages. Ke...

The study of submanifolds with harmonic mean curvature vector field was initiated by B. Y. Chen in 1985 and arose in the context of his theory of submanifolds of finite type. For a survey on submanifolds of finite type and various related topics was presented in [8, 9]. Let M r be an n-dimensional, connected submanifold of the pseudo-Euclidean space E s . Denote by x⃗, H⃗, and △ respectively the ...

In this Article dispersion characteristic of conventional optical waveguide with helical winding at core – cladding interface has been obtained. The model dispersion characteristics of optical waveguide with helical winding at core-cladding interface have been obtained for five different pitch angles. This paper includes dispersion characteristics of optical waveguide with helical winding, and ...

In this paper Aitken’s extrapolation normally applied to convergent fixed point iteration is extended to extrapolate the solution of a divergent iteration. In addition, higher order Aitken extrapolation is introduced that enables successive decomposition of high Eigen values of the iteration matrix to enable convergence. While extrapolation of a convergent fixed point iteration using a geometri...

This search engine allows users to quickly obtain information from networks. Traditional search engines can only search the data of modal characters. To solve this problem, Image Comparison Search Engine (ICSE) makes use of “Fractal Image processing “to create a database using image Eigen values. When a user input is an image query, this system will generate image Eigen value data, compare this...

In recent years, in various sectors of our society, there have been nationalist stirrings which were crystallized and articulated by the late Claro M. Recto, There were jealous demands for the recognition of Philippine sovereignty on the Bases question. There were appeals for the correction of the iniquitous economic relations between the Philippines and the United States. For a time, Filipino ...

We exhibit a stochastic discrete time model that has the Eigen model as its deterministic continuous limit. Such model can be divided into two phases: reproduction followed by neutral selection. This result suggests that Eigen model describes the competition among individuals differing for reproductive capability but equivalent as survivors. We explicitly write down the Markov matrix of the sto...

The multiple classifier system (MCS) is an effective automatic classification method, useful in connection with remote sensing analysis techniques. Combining MSC with induced fuzzy topology enables a decomposition of image classes. This fuzzy topological MCS then provides a new and improved approach to classification. The basic classification methods discussed in this paper include maximum like...

We present a new procedure for testing satisfiability (over the reals) of a conjunction of polynomial equations. There are three possible return values for our procedure: it either returns a model for the input formula, or it says that the input is unsatisfiable, or it fails because the applicability condition for the procedure, called the eigen-condition, is violated. For the class of constrai...