We introduce infinitary propositional theories over a set and their models which are subsets of the set, and define a generalized geometric theory as an infinitary propositional theory of a special form. The main result is that the class of models of a generalized geometric theory is set-generated. Here a class X of subsets of a set is set-generated if there exists a subset G of X such that for...

In this paper, we introduce a near set approach to image analysis. Near sets result from generalization of rough set theory. One set X is near another set Y to the extent that the description of at least one of the objects in X matches the description of at least one of the objects in Y. Near set Evaluation And Recognition (NEAR) system is used to measure the degree of resemblance between facia...

This report presents the Near set Evaluation And Recognition (NEAR) system. The goal of the NEAR system is to extract perceptual information from images using near set theory, which provides a framework for measuring the perceptual nearness of objects. The contributions of this report are an introduction to the NEAR system as an application of near set theory to image processing, a featurebased...

In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but  some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*...

by using bifurcation theory of planar ordinary differential equations all different bounded travelling wave solutions of the generalized zakharov equation are classified in different parametric regions . in each of these parametric regions the exact explicit parametric representation of all solitary , kink (anti kink) and periodic wave solutions as well as their numerical simulation and thei...