### Volume 1, Issue 1, Spring 2009, Page 1-6

##### Global Estimates for Monotone Approximation

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-8

We define the statistic known as the sample correlation coefficient based on n pairs of observed values of two characters which is represented by random variables as:

The aim of this paper is to find the dist. of when :

(i) are mutually independent r.vs if .

(ii) has abivariate normal dist.

##### Coconvex Polynomial Approximation

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-13

Let change its convexity finitely many times in the interval , say times at , We estimate the degree of approximation of by polynomials which change convexity exactly at the points where does.

##### A gene-base DBMS

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-4

The task of the query optimizer is to accept as input a tree of relational algebra operators and to produce a query execution plan. This plan specifies exactly which operations should be performed, in which order. Algebra space can express the solution space, whereas a good search algorithm can finding an optimal solution. In this work a genetic algorithm with two crossover strategies will be tested on a B+ tree sorted database example and nested loop join strategy. The results show that using M2S crossover with left-deep strategy will give better solutions.

##### On certain properties of α -continuous functions

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-8

In this work , we introduce and study a new type of continuous functions, which we call α - continuous function , these are the functions in which the inverse image of α- open set is also α- open. Several properties of these functions are proved

##### On Simultaneous Approximation for a Generalization ofBaskakov–Beta operators

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-11

Abstract: This paper introduces and studies a generalization of Baskakov-Beta operators, denotes it by , where ( the set of nonnegative integers). First, we show that is an approximate process for as where . Next, we discuss a Voronovaskaja-type asymptotic formula for . Finally, we present a theorem which gives us an estimate of the degree of approximation by the operator .

##### Three Genetic Solutions for Travel Salesman problem

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-6

The classic Traveling Salesman Problem (TSP) has been frequently used as a test bed for the study of new local search techniques developed for general circuit-based permutation problems, local search heuristics for the traveling salesman problem (TSP) is chiefly based on algorithms using the classical Lin-Kernighan (L-K) procedure, La Lena simple genetic algorithm. This work give a detailed description of the three genetic solutions for this problem and found that genetic algorithms different in behavior according to the tour length.

##### Study of MINQUE and Simple estimator of Covariance Matrix in the multivariate linear Model

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-16

Under the multivariate linear model equality of MINQUE and so called "simple" estimator with , for Σ is considered. It is revealed that this equality holds if and only if the quadratic form admits a Wishart-distribution under multivariate normality of Y. Also comparison of MINQUE and simple estimator of Σ in the multivariate normal linear model under the risk of entropy loss function criterion where the design matrix X need not have full rank and the dispersion matrix V can be singular A is considered . It is interested to prove that MINQUE is superior to simple estimator OLSE

Keywords: multivariate linear model, MINQUE, BLUE, OLSE, Wishart -distribution

##### Reliability Allocation in Parallel – Series Systems

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 3-6

In this paper we evaluate the reliability allocation in parallel - series systems by using reduction to series element method which it helping to reduced these systems and complex systems to series systems easier computing .

##### Study of MINQUE and Simple estimator of Covariance Matrix in the multivariate linear Model

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-16

Under the multivariate linear model equality of MINQUE and so called "simple" estimator with , for Σ is considered. It is revealed that this equality holds if and only if the quadratic form admits a Wishart-distribution under multivariate normality of Y. Also comparison of MINQUE and simple estimator of Σ in the multivariate normal linear model under the risk of entropy loss function criterion where the design matrix X need not have full rank and the dispersion matrix V can be singular A is considered . It is interested to prove that MINQUE is superior to simple estimator OLSE

Keywords: multivariate linear model, MINQUE, BLUE, OLSE, Wishart -distribution

##### ON RADIAL BASIS FUNCTION NEURAL NETWORKS AND ITS APPLICATIONS

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-10

In this paper ,we examine the similarities and differences between RBFNNs and compare the performance of learning, then we applied to the interpolation problem by using data of blood pressure disease which taken from health office in diwaniya city .

##### The Completion of -measure

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-9

The theory of measure is an important subject in mathematics; in Ash [4,5] discusses many details about measure and proves some important results in measure theory.

In 1986, Dimiev [7] defined the operation addition and multiplication by real numbers on a set , he defined the operation multiplication on the set E and prove that E is a vector space over R and for any a>1 Ea is field, also he defined the fuzzifying functions on arbitrary set X.

In 1989, Dimiev [6] discussed the field Ea as in [7] and defined the operations addition, multiplication and multiplication by real number on a set of all fuzzifying functions defined on arbitrary set X, and also defined -measure on a measurable space and proved some results about it.

we mention the definition of the field , and the fuzzifying functions on the arbitrary set X also we mention the definition of the operations.

##### On certain properties of α -continuous functions

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-8

In this work , we introduce and study a new type of continuous functions, which we call α - continuous function , these are the functions in which the inverse image of α- open set is also α- open. Several properties of these functions are proved

##### On Simultaneous Approximation for a Generalization of Baskakov–Beta operators

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-11

This paper introduces and studies a generalization of Baskakov-Beta operators, denotes it by , where ( the set of nonnegative integers). First, we show that is an approximate process for as where . Next, we discuss a Voronovaskaja-type asymptotic formula for . Finally, we present a theorem which gives us an estimate of the degree of approximation by the operator .

##### Generalized Derivations with Commutativity of Prime Rings

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-14

The main purpose of this paper is to study and investigate some results concerning generalized derivations (D,d) and (G,g) of prime ring R ,when the additive mapping acts as a left centralizer of R ,we obtain either d=0 or g=0,and when R contain a non –zero ideal U,R is commutative.

Key words: Generalized derivations, centralizer,commutativity and prime rings.

AMS Mathematics Subject Classification (2000) : 16W25, 16N60, 19U80.

##### Generalized mean function

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-21

In 1969 S.K.Skaff introduced the generalized mean function

In this work we present the theory of an integral mean for generalized GN*-function .We will show under what conditions the mean function is a GN*-function and satisfies a condition. Moreover, we examine how the minimizing points in the definition of the mean function affect a basic property of the ordinary integral mean.

1.Introduction and Basic Concept:

From the functional analysis as a function space, Orlicz spaces appeared in the first of the by W.R. Orlicz in Orlicz paper [1]. Many theorems and properties about generalized mean function for GN-function is introduced in [5].

we have consolidated the investigation of a new definition generalized mean function for GN*-functions and discussed their properties.

##### Coconvex Polynomial Approximation

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-13

Let change its convexity finitely many times in the interval , say times at , We estimate the degree of approximation of by polynomials which change convexity exactly at the points where does.

##### Some Properties of Generalized Feebly Closed Maps and Feebly Closed Maps

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-8

The main purpose of this paper is study and investigate some properties of generalized feebly closed maps and feebly closed maps ,we give several results about that by using some concepts of topological as feebly closed sets,feebly open sets,generalized feebly closed sets and feebly normal space.

##### Generalized Sum of Fuzzy Subgroup and α-cut Subgroup

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-8

In this paper we study some results of the generalized sum of a fuzzy subgroup and α-cut subgroup ,we define a α-cut subset and α-cut subgroup, and then .We study some of their properties.

##### APPROXIMATION METHODS IN THE THEORY OF OPERATOR INCLUSIONS

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-17

In the present paper we use approximation methods for the study of operator inclusions of the form , where a is a closed linear surjective operator from a Banach space onto another one, and Φ is a multimap being a composition of a multimap with ”good” values and a continuous singlevalued map. As application we consider the solvability of an integro- diﬀerential system which may be treated as a control object with an integral feedback. Key Words and Phrases: multivalued map, ﬁxed point, coincidence point, continuous selection, operator inclusion, closed linear operator, integro-differential system.

##### A gene-base DBMS

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-11

The task of the query optimizer is to accept as input a tree of relational algebra operators and to produce a query execution plan. This plan specifies exactly which operations should be performed, in which order. Algebra space can express the solution space, whereas a good search algorithm can finding an optimal solution. In this work a genetic algorithm with two crossover strategies will be tested on a B+ tree sorted database example and nested loop join strategy. The results show that using M2S crossover with left-deep strategy will give better solutions.

##### The Dynamics Of Tri-Trophic Food Web Model With Mixed Selection Of Functional Responses

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-12

In this paper, a tri-trophic food web model with mixed selection of functional responses is proposed and analyzed. It is assumed that, the food web system consisting of one prey and two predators, in which there is an explicit inter-specific competition between the two predators. Dynamical behavior of all possible equilibrium points has been investigated locally as well as globally. Sufficient conditions for the system to be uniformly persistent and / or extinction have been derived.

##### On -Centralizers of Prime and Semiprime Rings

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-9

The purpose of this paper is to prove the following result : Let R be a 2-torsion free ring and T : RR an additive mapping such that 2T(x2) = T(x)(x) + (x)T(x) holds for all x R. . In this case T is left and right -centralizer , if one of the following statements hold (i) R semiprime ring has a commutator which is not a zero divisor . (ii) R is a non commutative prime ring . (iii) R is a commutative semiprime ring , where be surjective endomorphism of

##### Using Genetic Algorithm for classification of flower plants

*Journal of Al-Qadisiyah for Computer Science and Mathematics*,
*2009,* Volume 1, Issue 1, Pages 1-9

The aim of this research is use adaptive search (genetic Algorithm) for classification of flower plants depend on its features, these features are extracted from outline shape of these flower's plants. The classification of flower plants are a well known problem in plants science and encountered almost of researchers in that domain.

In this paper we produce a Simple Genetic Algorithm (SGA) for classifier system, the classifier system is an application mode because it have sufficiency learning is accomplished, the proposed system receive a massage (features) from environment (that features may be overlapping ) , the SGA responsible for take that features to arrive final appropriate class, the proposed system implemented using visual basic programming language and applied on P4 processor