Mathematics
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On Continued Fractions and its Applications
(AnNajah National University, 20161127)In this thesis, we study finite simple continued fractions, convergents, their properties and some examples on them. We use convergents and some related theorems to solve linear Diophantine equations. We also study infinite ... 
Cone Metric Spaces
(2016)Cone metric spaces were introduced in [1] by means of partially ordering real Banach spaces by specified cones. In [4] and [8] , the nation of cone – normed spaces was introduced. cone metric spaces, and hence, cone ... 
A Comparative Study in Cone Metric Spaces and Cone Normed Spaces
(2016)Cone metric spaces are, not yet proven to be generalization of metric spaces. In many occasions the answer was proved, not to be affirmative. In this thesis we made a comparison between) Cone Metric Spaces and Cone Normed ... 
Estimation of Multivariate Multiple Linear Regression Models and Applications
(2015)Regression is a statistical method which is widely used in various fields of science for defining the relationships between the variables in the form of an equation to estimate the parameters, the strength and direction ... 
Analytical and Numerical Aspects of Wavelets
(2015)Almost every physical phenomenon can be described via a waveform –a function of time, space or some other variables, in particular, sound waves. The Fourier transform gives us a unique and powerful way of viewing these ... 
An Analytic and Dynamic Programming Treatment for Solow and Ramsey Models
(2014)In this thesis, we studied two of the most important exogenous economic growth models; Solow and Ramsey models and their effects in microeconomics by using dynamic programming techniques. Dynamic programming (DP) is a ... 
Fuzzy Fredholm Integral Equation of the Second Kind
(2014)Fuzzy Fredholm integral equations of the second kind have received considerable attention due to the importance of these types of equations in studies associated with applications in mathematical physics and fuzzy financial ... 
Mathematical Analysis of Heat Radiation Problems
(2015) In this thesis we focus on the analytical aspects of the Fredholm integral equation a rising as a result of the heat energy exchange inside a convex and nonconvex enclosure geometries. The phenomenon of heat radiation ... 
On Ztransform and Its Applications
(2015)In this thesis we study Ztransform (the twosided Ztransform), the onesided Ztransform and the twodimensional Ztransform with their properties, their inverses and some examples on them. We also present the relation ... 
Topological Characters of Complete Metric Spaces
(2015)In this thesis the topological aspects of complete metric spaces are studied. Complete metric spaces, Characterizations of complete metric spaces and examples of complete metric spaces are presented. A completion ... 
On The Theory of Convergence Spaces
(2015)In this thesis we investigate some information about convergence space concepts such as closure and interior of sets , open sets, closed set, cluster point of a filter , closed adherences of convergence spaces , separation ... 
Finite Difference and Finite Element Methods for Solving Elliptic Partial Differential Equations
(2016)Elliptic partial differential equations appear frequently in various fields of science and engineering. These involve equilibrium problems and steady state phenomena. The most common examples of such equations are the ... 
Analytical and Numerical Methods for Solving Linear Fuzzy Volterra Integral Equation of the Second Kind
(2016)Integral equations, in general, play a very important role in Engineering and technology due to their wide range of applications. Fuzzy Volterra integral equations in particular have many applications such as fuzzy ... 
Linear Fredholm IntegroDifferential Equation of the Second Kind
(2016)In this thesis we focus on solving linear Fredholm integrodifferential equation of the second kind due to it's wide range of physical applica tions. We will investigate some analytical and numerical methods to ... 
On Fuzzy Metric Spaces and their Applications in Fuzzy Environment
(2015)In this thesis, the fuzzy metric spaces were investigated using different definitions and point of views. Some were applied on regular sets while others were applied on sets of fuzzy points. The concept of complement of ... 
The SProperty and Best Approximation
(2000)The problem of best approximation is the problem of finding , for a given point x and a given set G in a normed space (X,.) , a point go in G which should be nearest to x among all points of the set G . However , ... 
The Effect Of Using The Computer As An Educational Teaching Aid In The Achievement Of Fifth Grade Students In A Unit On Areas
(2003)This study aimed at investigating the effect of using the computer as an educational teaching aid in the achievement of the fifth grade students in a unit on Areas , compared with two ways the traditional method with ... 
Decoding Turbo Codes with Linear Programming
(2013)In this thesis we investigate the application of Linear Programming LP relaxation to the problem of decoding an errorcorrecting code. LP relaxation is a standard technique in approximation algorithms and operation research, ... 
Extending Topological Properties to Fuzzy Topological Space
(2014)In this thesis the topological properties of fuzzy topological spaces were investigated and have been associated with their duals in classical topological spaces. Fuzzy sets, fuzzy functions and fuzzy relations were presented ... 
Mathematical Theory of Wavelets
(2009)Wavelets are functions that satisfy certain requirements and are used in representing and processing functions and signals, as well as, in compression of data and images, in many fields such as: mathematics, physics, ...