In this paper, a set of transformations is defined on to. Some basic and naïve mathematical structure of is introduced. The concept of discrete dynamical systems through IVT and some further research scope of IVTs are highlighted. and 4]. A class of discrete transformations on named as Integral Value Transformations (IVT), corresponding to each of those CA rules, is introduced in the formation ...

Mathematical programming is a language for describing optimization problems; it is based on parameters, decision variables, objective function(s) subject to various types of constraints. The present treatment is concerned with the case when objective(s) and constraints are algebraic mathematical expressions of the parameters and decision variables, and therefore excludes optimization of black-b...

The reductions of the Heun equation to the hypergeometric equation by rational transformations of its independent variable are enumerated and classified. Heun-tohypergeometric reductions are similar to classical hypergeometric identities, but the conditions for the existence of a reduction involve features of the Heun equation that the hypergeometric equation does not possess; namely, its cross...

Before Einstein’s publication in 1905 of his theory of special relativity, the mathematical manipulations that were a product of his theory were in fact already known. The so called Lorentz transformations were tricks that had been found that allowed the speed of light to propagate in all directions at the same speed, which accounted for its strange behavior when traveling through the now infam...

Electronic music constantly uses transformations of functions of time. Some frequently-used mathematical operations are described, with an eye to their effects on sound spectra and possible musical applications.

Based on a mathematical analysis involving Radon measure explicit formulars of continuous (integral) wavelet transformations are given and further used to direct how to use rotational wavelets in edge detection.

This paper addresses the critical need for the development of intelligent or assisting software tools for the scientist who is working in the initial problem formulation and mathematical model representation stage of research. In particular, examples of that representation in fluid dynamics and instability theory are discussed. The creation of a mathematical model that is ready for application ...

Half a century ago, Noam Chomsky introduced the field of linguistics to new mathematical tools drawn largely from recursive function theory. These were exciting tools that imparted mathematical precision, perhaps for the first time in the history of Linguistics, to the enterprise of grammar construction. The cornerstone of Chomsky’s new theoretical edifice, was the grammatical transformation, a...

DNA Methylation is an epigenetic phenomenon in which methyl groups are added to the cytosines, thereby altering the physio-chemical properties of the DNA region and influencing gene expression. Aberrant DNA methylation in a set of genes or across the genome results in many epigenetic diseases including cancer. In this paper, we use entropy to analyze the extent and distribution of DNA methylati...

As UML 2.0 is evolving into a family of languages with individually specified semantics, there is an increasing need for automated and provenly correct model transformations that (i) assure the integration of local views (different diagrams) of the system into a consistent global view, and, (ii) provide a well– founded mapping from UML models to different semantic domains (Petri nets, Kripke au...