### Volume 7, Issue 2, Autumn 2015, Page 1-180

##### On s-coc-separation axioms

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 1-28

In this paper we introduced new type of separation axioms called s-coc-separation axiomsand we introducedtypes of continuous functionsand study the relation among them. We studiedthe definitions of s-coc-separation axioms ,properties and relation among them .

##### Korovkin Type Theorem in Weighted Spaces (Lp,a-Space)

Alaa H. Al-Abdulla

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 29-35

In this study, we obtain some Korovkin type approximation theorem by positive linear operators on Lp,-space of unbounded functions by using the test functions {1,x,x2}.

##### Jordan Left Derivation and Jordan Left Centralizer of Skew Matrix Rings

Abdul Rahman.H.Majeed; Rajaa .C.Shaheen

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 36-45

In this paper, we determine the form of Jordan left derivation and Jordan Left Centralizers of a Skew matrix ring M_2 (R;σ,q) over a ring R .

##### Derivation of composite rules for numerical calculation of double integrals using Romberg acceleration to improve results

Rehab Ali Kudear

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 46-60

The main goal of this work is to find numerical value of a double integral where the integrand is continuous, by derivation composite rules and its correction terms. Depending on these terms we improve these values by using Romberg acceleration, after that we used these rules to find the values of integral with continuous integrands on the region of integral and we compare these results with composite rule of trapezoidal on the two dimensions (exterior and interior), the resulting values are better if accuracy and number of sub-intervals are taken in account.

##### Redefine Fuzzy Topological Vector Space by using Michalek's Fuzzy Topological Space

Salah Mahdy Ali

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 61-65

In this paper, a new definition of fuzzy topological vector space was introduced. this kind of fuzzy topological vector spaces have peculiarity that differ from the other kinds. An idea of this definition was dependence on fuzzy topology that define by science of Michálek. Some theorems about this subject was proved.

##### On Derivations of Period 2 On Near–Rings

Abdul Rahman H. Majeed; Enaam F. Adhab

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 66-71

In this paper , we introduce the notion of mapping of period 2 on near-ring N. Also we investigate the existence and properties of derivations and generalized derivations of period 2 on near – rings.

##### On Maps Of Period 2 On Prime Near – Rings

Abdul Rahman H. Majeed; Enaam F. Adhab

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 72-79

In this paper , we introduce the notion of maps of period 2 on near-ring N, the main our purpose is to study and investigate the existence and properties of mapping such as homomorphisms, anti - homomorphisms, α -derivations and α-centeralizers when they are of period 2 on near – rings.

##### Some Generalized Sets and Mappings in Intuitionistic Topological Spaces

Taha H. Jassim; Samer R.Yaseen; Luma S. AbdualBaqi

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 80-96

In this paper we introduce new types of intuitionistic regular generalized closed set intuitionistic generalized pre regular -closed set,intuitionistic weakly generalized closed set , intuitionistic strongly generalized semi closed set,intuitionistic weakly closed set ,intuitionistic semi weakly generalized closed set,intuitionistic pre weakly generalized closed set, intuitionistic regular-weakly generalized closed set,intuitionistic regular w-closed set , intuitionistic regular generalized α-closed set and study the relations among them .Through the seconcepts we introduce a new class of mapping of intuitionistic generalized pre regular -closed map intuitionistic , weakly generalized closed map, intuitionistic strongly generalized semi closed map,intuitionistic weakly closed map ,intuitionistic semi weakly generalized closed map intuitionistic pre weakly generalized closed map, intuitionistic regular weakly generalized closed map,intuitionistic regular w-closed map , strongly Irgα-continuous ,Irgα-irresolute map, Irgα-continuous map .We study and investigate some characterizations and relationships among them .

##### Bifurcation analysis and caustic of sixth order nonlinear differential equation

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 97-110

In this paper we studied the nonlinear elastic beams equation on elastic foundations. We used the local Lyapunov- Schmidt method to find The bifurcation equation and the Discriminant set. Also, we calculated the topological indices of the solutions of the problem.

##### WHITNEY THEOREM FOR COPOSITIVE APPROXIMATION IN 1 , ) ( ,  p I L p 

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 111-125

In this research, we have important results about finding the relationship between the best approximation degree and the so called modulus ( or Sendov- Popov modulus ) of order in the space , and the polynomial is copositive with the function at the points in an interval , and also found assessment between the best approximation degree by algebraic polynomial of degree , and the modulus of smoothness of degree , to the function , .

##### Some Results on Weak and Strong Fuzzy Convergence for Fuzzy Normed Spaces

Noori F. Al Mayahi; Hind William Twair

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 126-131

In this paper we study the fuzzy norm and the fuzzy normed space, then we define the fuzzy normed space and study the notion of weak and strong fuzzy convergence of sequences in fuzzy normed spaces. After that we prove some basic results of fuzzy convergent in these spaces.

##### On Asymptotic Behavior of Metric Dynamical Systems

Salah H. Abid; Ihsan J. Kadhim

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 132-145

In this paper we shall study the asymptotic behavior of metric dynamical systems when the time domain is any locally compact topological group. We investigate some new properties of ergodic, mixing, and weakly mixing metric dynamical system.

##### On ArtinCokernel of The Group D_n×C_5 When n is an Odd Number

Bassim Kareem Mihsin

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 146-165

The group of all Z-valuedgeneralized characters of G over the group of induced unit characters from all cyclic subgroups of G, AC(G)= (G)/T(G) forms a finite abelian group, called ArtinCokernel of G .The problem of
finding the cyclic decomposition of Artincokernel AC(D_n×C_5) has been considered in this paper when n is an odd number , we find that if n = p .p ..p , where p1,p2,…, pm are distinct primes and not equal to 2 , then :
AC(D_n×C_5)= C2
= AC(Dn) C2
And we give the general form of Artin's characters table Ar(D_n×C_5)when n is
an odd number .

##### Fingerprint Image Enhancement – A Survey

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 166-180

Fingerprint image enhancement is one of the most important operation in (Automated fingerprint Identification system, AFIS), and affect directly on the accuracy of the results in all other steps in fingerprint system (like feature extracting, noise removal, alignment, and matching), so the selection of suitable and efficient method is very important to avoid faulty results and to make fingerprint systems more reliable. Fingerprint images are rarely of perfect quality; they may be degraded and corrupted due to variations in skin and impression conditions. The available enhancement algorithms are based on either the local orientation field filtering scheme in space domain or the Gabor filtering scheme in the frequency domain. The local orientation could not be correctly estimated for fingerprint images of poor quality, which greatly restricts the applicability of these filtering techniques. The Gabor filters could obtain the reliable orientation estimate even for corrupted images, but it is time consuming. It is unsuitable for an on-line fingerprint recognition system such as AFIS.

##### Numerical Method for Evaluation of Double Integrals its Integrands have Singular Derivatives and Singular by Using Simpson's Rule when Number of Subintervals at the Two Dimensions Unequal

Ali Hassan Mohammed; Roaa Aziz fadhil

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 1-16

The main aim of this research is to derive numerical rule to calculate values of double integrals its integrands have singular partial derivatives and singular integrals at one end of limits region of integration by using Simpson's rule with two dimensions (on the interior x and exterior y) , and to find correction terms (formula of error) for it ،and using Romberg acceleration to improve the results of integrations by depending on correction terms that we found when the number of subintervals (m)on the dimension yequal to twice of subintervals (n)on the dimension x,((n),(m) even integers number), preciselywhenh1=2h2 where h1 is the distance between ordinates on x-axis and h2 the distance between ordinates on y-axis .
we will use the symbol ( sim2 ) to indicate this Simpson'srulewith two dimensionsandsymbolized the base with Romberg accelerationthe symbol (Rsim2 ) ,and we can depend on this rule to calculate like these integrals because it gave high accuracy on the results with respect to the analytical values of integration with little subintervals.

##### Numerical Method for Evaluation of Double Integrals with continuous Integrands by using Trapezoidal rule and Romberg acceleration when the number of subintervals at the two dimensions are unequal

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 17-28

The main of this research is to find the values of the double integrals numerically by using Trapezoidal method for two dimensions it's integrands are continuous in region of integral and derives error form (correction terms) when number of subintervals on both dimensions are unequal and we will study and apply special case on well choosen integrals when numbers of subintervals on dimension equals to twice of numbers of subintervals on dimension in other word means that and we will improve the results by using Romberg acceleration [3] and [4] .High accuraceg in results had appeared of the choosen integals by using alittle number of subintervals , thus , It can be depend on this way in calculating like these integrals. We will give asymbole for this rule (method) , indicates to Trapezoidal rule on both dimensions, indicates to Romberg acceleration.

##### A comparison of some semi-parametric Estimators for partial linear regression model by using simulation

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 29-42

A comparison of some semi-parametric Estimators For Partial Linear Regression Model by using simulation

##### The use of reliability in the design of experiments with practical application

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 7, Issue 2, Pages 43-57

Many concerned and pay attention to when the term reliability or estimate the reliability of existing product , we will examine how to improve the reliability of products and processes through the use of designed experiments, in such experiments, each unit is tested up to fail or are still working at the end of the experiment. If it fails to respond will be the time of failure .reliability and design of experiments (DOE) different types of threads. Reliability is character the product , and design of experiments is the advantage of access to knowledge and organization , but they share a midwife application on a range of product designs , and are also the most effective when used together as tools by professionals in disciplines such as design engineering and process engineering and even product purchase marketing . We have addressed in this paper combine design experiments and reliability to improve product . Using design of experiments is to know and determine the level of the factors affecting the reliability it is certain that there are specific factors affecting theReliability . In the theoretical side touched on some basic concepts about the design of experiments and reliability and evolve overlapping and the relationship between them , It was possible to derive the greatest natural function of the logarithmic as algorithm to program (-R-) used to estimate model parameters and factors affecting the time of the failure (product life) through likelihood ratio test , The practical side of the data recorded for the time of the failure of the two types of tires after exposure to various Quicken and sample number (51) Show from the lab records Tires Babylon in the province of Najaf to see the estimated values of the parameters ( β_0 ، β_1 ، β_2 ، σ ( and the limits of confidence and ratio test possible main factor (B & A) and statistical significance of this ratio and the level of significance (5% and 1%). have been identified variance for every the ability of a parameter [ Var((β ) ̂_0 ) ، Var((β ) ̂_1 ) ، Var((β ) ̂_2 ) ، Var((σ^' ) ̂ )] Add to estimate the covariance between each two parameters , through a matrix calculation Fisher (F) and (F^(-1)) depending on the logarithmic function of the possibility of the greatest .