‎in this paper, we formulate the fourth order sturm-liouville problem (fslp) as a lie group matrix differential equation. by solving this ma- trix differential equation by lie group magnus expansion, we compute the eigenvalues of the fslp. the magnus expansion is an infinite series of multiple integrals of lie brackets. the approximation is, in fact, the truncation of magnus expansion and a gauss...

o bjectives: this study aimed to compare a number of new nanocomposites capable of pro- tecting the jaw from ionizing radiation. mat erials and methods: four different types of nano-powders [ti, zr (iv) oxide, ag and co] were mixed in a polymer matrix to create nano-composites with doping values of 8% in weight. small-angle x-ray scattering (saxs) analysis was performed using a hecus- saxs syst...

In this paper a new original approach to the analysis of fuzzy multi dimensional distributions is described A uniform method for representing fuzzy multi dimensional distributions by means of sectioned vectors and matrices is proposed Sectioned ma trix is interpreted as fuzzy conjunctive normal form while its line vectors are interpreted as fuzzy disjunctions Several useful characteristics of f...

Abstract The fish population could expand in a healthy habitat with adequate water quality and fertile conditions. Banten bay estuaries were known as an area high fishing activities source of income for fishermen. Many human occur the vicinity estuaries, which can impact aquatic fertility. This study aims to determine trophic status fourth estuary Bay. Water was sampled estuarine Bay, namely Wa...

In this paper we propose an e cient iconic indexing strategy called Unique ID based Ma trix UID Matrix for symbolic pictures in which each spatial relationship between any two objects is assigned with a unique identi er ID and is recorded in a matrix Basically the proposed strategy can represent those complex relationships that are represented in D C strings in a matrix and an e cient range che...

For solving complex robot tasks it is necessary to incorpo rate path planning methods that are able to operate within di erent high dimensional con guration spaces containing an unknown number of obstacles Based on Advanced A algorithm AA using expansion matrices instead of a simple expansion logic we propose a further im provement of AA enabling the capability to learn directly from sample pla...

or the trifocal constraint amongst three, for example. Ignoring lighting affects and object occlusions. i t is actually Film restoration involves locating the position of possible to predict the appearance of a rigidly moving object. This is the essence of the approach investigated in this paper. 2 Rigid Motion Geometry artifacts and replacing the "missing" portion of the film (obscured by the ...

This is a summary of the research on NDE performed during the last two years by the authors and Professor W. Sachse and Messrs . S. Sancar and G. C. C. Ku of the Department of Theoretical and Applied Mechanics at Cornell University. The report is divided into t hree par ts: (1) Theoretical SpectraResults based on the method of wave function expansion and the method of transition n~trix (T-~trix...

The discharge of nutrients, phytoplankton and pathogenic bacteria through ballast water may threaten the Cayo Arcas reef system. To assess this threat, the quality of ballast water and presence of coral reef pathogenic bacteria in 30 oil tankers loaded at the PEMEX Cayo Arcas crude oil terminal were determined. The water transported in the ships originated from coastal, oceanic or riverine regi...

This paper describes a framework for applying templates to applications and documents on the Web. The primary motivation is the need of Web application developers to separate program logic from presentation logic. A template is a prototypical document or part thereof. It consists of content in the target language, HTML, XML, or plain text, plus markup specifying variable parts of the document. ...