Abstract: In this paper, we defined i-open sets and i-star generalized w-closed sets in bitopological spaces  by using the definition of i-open sets in topological space  (see[6]). We present some fundamental properties and relations between these classes of sets, further we give examples to explain these relations.  

Abstract:       A (k ,r)-arc is a set of k points of a projective plane PG(2,q) such that some  r, but no r + 1 of them, are collinear. The  (k ,r)-arc is complete if it is not contained in a (k + 1,r)-arc.      In this paper we give geometrical construction of  complete (k r ,r)-arcs in PG(2,7),  r = 2,3,…, 7, and the related projective [n,3,d]7 codes.  

Abstract: Let R be a commutative ring with identity and AG(R) be the set of ideals with      non-zero annihilators. The annihilating ideal graph AG(R) is a graph of vertex set             AG (R)\{(0)}  and two distinct ideal vertices I  and J are adjacent if and only if  . In this paper , we establish a new fundamental properties of AG(R) as well as its connection with Γ(R).  

Abstract: Let R be a commutative ring with identity. We associate a graph . In this paper, we find Hosoya polynomial and Wiener index of  Zn , with  n= pm or n= pmq, where p and q are distinct prime numbers and m is an integer with m 2.  

Abstract: The process of classification and recognition of the digits is very important and accurate issue, it should depend on a strong, adequate rule, because there are differences in the representation of the digits for various type of font,  rather than to get homogeneous classification for group of digits to show the form or the constant shape for the digit from groups of font , where to be one shape represents each group of the shapes and sizes. This paper proposed a new method for recognition images of Arabic digits with various types and size of  font which captured by various kind of camera and various resolution depending on the characteristics of each digit which extracted from study of ten types of font with various size for each type. The characteristic of all shapes and sizes extracted for each digit. Then made a constant model for each digit to be compare with the digit image in any size or font type to recognize the digit in the image. A database of ten templates (one for each digit) built, and these templates are basic and general to recognize the Arabic digits with various font and size. The new method applied for recognition of Arabic digits in the images of license plate of the passenger cars. the recognition percentage was  98%.  

Abstract: The process of improvement software quality began from early stages of software engineering development. It uses multiple quality metrics which are very important in software development. To calculate the   standards quality of in software testing has been adopted.  The software testing is focusing on the Software defect. In this paper is proposed new methods which combine the particle swarm optimization (PSO) to handle the best features Extraction with back-propagation networks to  testing and evaluation of the data set . The paper depended database for NASA standards data.  The result and experiment method improved quality performance for all classification methods used in the research"Combining Particle Swarm Optimization based Feature Selection and Bagging for Software Defect Prediction ".  

Abstract: The aim of this paper, it's calculate Brownian dimension of fractal pattern  has self similarity (Von Koch Curve). This method is Random Middle Third Displacement in [0,1] has Gaussian distribution. Random processes are the main focus of research by analyzing dynamical systems to determine these ‘chaotic’ systems function. One such dynamical system is Brownian Motion. Basis of current definitions of physical phenomena.