Volume 6, Issue 2, Autumn 2014, Page 1-200


On cocompact open set

Farah Hassan Jasim Al-Hussaini; Raad Aziz Hussain Al-Abdulla

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 1-18

In this paper, we have studied coc-continuous, coc-closed, coc-open functions and coc-compact space. We shall provided some properties of these concepts and it will explain the relationship among them and some results on this subjects are proved Throughout this work, some important and new concept have been illustrated including coc-compact, K-space.

Deriving Composite Functions as Activation Function for Neural Networks or for Wavenets

Bushra Hussien Aliwi

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 19-29

This study present new idea in way to more future wonderful ideas, exploiting mathematical side of specific, through several ways employing very wide resources of mathematical functions and their properties that with natural in improve features of activation function, from these studies this study which drive an activation function through compose two (and more) functions with properties to be continuous and drivable.
We can drive membership function under fuzzy logic by this as composite function on wavelet function or vice versa, and for many different functions (as future work).
Also there idea to compose wavelets from families such SLOG mother wavelets with RASP or POLYWOG wavelets, that specifically arises from NNs representation and classification problems ,which also drivable .Each one from these functions have derivative which also can be composed to get an other activation function .

Strongly regular Palais proper G – space

Inam Farhan Adhab; Habeeb Kareem Abdullah

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 30-43

The main goal of this work is to create a general type of proper G – space , namely, strongly regular Palais proper G - space and to explain the relation between st – r – Bourbaki proper and st – r – Palais proper G – space and studied some of examples and propositions of strongly regular Palais proper G - space.

On Some Results for M-band Sub Filter Bank

Ghufran Sahib Kadhim; Waggas Galib Atshan; Hisham MohammedaliHasan

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 44-52

In the present paper, we study aliasing signal, filter banks-band and sub M-band. Weobtain some results, like, the relationship between input and output signal, subsampling, input signal, output signal.

Separation theorem for fuzzy normed space

Dunea A . Abd alsaheb; Noori F.Al Mayahi

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 53-64

. The aim of this paper is to study the generalization of the fuzzy normed space . we discussed some theorems in fuzzy normed space and we have some new results on separation theorems .

The Relationship Between Boronological Convergence of Net and Topological Convergence of Net

Fatma Kamil Majeed Al-Basri

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 65-76

: In this paper, we study the convergence of nets in convex bornological vector space and the related concepts and investigate some properties of them. We study the relationship between the convergence net in bornological space and topological space in which we explain the convergence net in bornological space be convergent in topological space. After that we apply the conditions on the contrary to be valid through the properties which explain that.

Some New result of Compact sets in fuzzy metric space

Sarim H . Hadi; Noori F. AL-Mayahi

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 77-82

In this paper, we have introduce definition of compact set in fuzzy metric space,also we have to prove some result in compact fuzzy metric space and we have to proved equivalent between compact and sequentially compact .

Subclass of Univalent Functions with Positive Coefficients

Huda Khalid AbidZaid; Waggas Galib Atshan

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 83-93

In this paper, we consider the classH(γ,α) consisting of analytic function with positive coefficients. We obtain some geometric properties, like, arithmetic mean, some distortion theorems and Hadmard product in the class H(γ,α).

On Bc-Lindelof spaces and nearly Bc-Lindelof spaces

Raad Aziz Hussain Al-Abdulla; Ruaa Muslim Abed

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 94-116

In this paper, we have discussed a new class of wBc-open sets and wBc-regular open sets. Throughout this work, new concepts have been illustrated including an Bc-Lindelof spaces and nearly Bc-Lindelof spaces and the behavior of these invariant under kinds of functions.

Solving Some Kinds of the Three Order Partial Differential Equations with Homogeneous Degree

Rusul Hassan Naser

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 117-135

In this paper, wefind the solution for some kinds of nonlinear third order partial differential
equations of homogeneous degree which have the general form

whereA,B,C,D,EandF are linear functions of the dependent variable Zand partial derivatives
ofthe dependent variable with respect to the independent variables x and y,and that by using some of the assumptions .

Certain Types of Compact Spaces

Saied A. Johnny; Sattar Hameed Hamzah AL-Janabi

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 136-148

In this paper , weusedthe concept of generalized closed (g-closed) and generalized compact (g-compact) sets to constructa new types of compact spaces and functions which are compactly generalized closed space (cgc-space) , generalized compactly generalized closed space and generalized coercive function (g-coercive) and investigate the properties of these concepts .

On Essentially Normality of the Composition Operator C_σ

Aqeel Mohammed Hussain

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 149-156

In this paper we have studied the composition operator induced by the automorphism σ and discussed the adjoint of the composition of the symbol σ.We have look also at some known properties on composition operators and tried to see the analogue properties in order to show how the results are changed by changing the function σ on U.
In order to make the work accessible to the reader, we have included some known results with the details of the proofs for some cases and proofs for the properties .

On Soft 2-Inner Product Spaces

Dhuha Abdulameer Kadhim

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 157-168

In this paper an idea of soft 2-inner product on soft linear spaces has been introduced and some of their properties are investigated. Soft 2-normed spaces, Soft 2-metric spaces, Soft 2-Banach spaces and Soft 2-Hilbert spaces are also studied.

Enhancing the Security of Playfair Cipher by Stream Cipher

Fairouz Mushtaq Sher Ali

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 169-175

Cryptography is a science of converting clear message into secret message "nonreadable message",where message was encrypted at sender side then decrypted at receiver side. Playfair is an example of substitution cipher,it has various limitations, inthis paper we proposean advanced encryption algorithm which improves the security of Playfair method by combining it with modern cipher method like Stream cipher, Stream cipher relatively regards as unbreakable method, and bit oriented method (instead of character-oriented) where the Plaintext, Ciphertext and the Key are strings of bits.
When applying the proposed algorithm, we see that the mentioned above combination cipher has a high degree of security, where cipher based on just Playfair method is not secure. Also the proposed algorithm makesthe cryptanalysis more difficult.

Modify Initialization k-means Clustering Algorithm to Generate Initial Centroids

Lamia AbedNoor Muhammed

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 176-185

K-means is one of the most common clustering techniques used with numeric data. Different issues are conducted in k-means algorithm in order to reach the optimum solutions with best situations, weather producing good results or the ways used to produce the results efficiently. Initial centroids of this algorithm play important role, so the generation initial centroids attracting more work. However, this paper aims to discuss a new proposed step to improve the generation of initial centroids i.e. modification the first iteration of k-means algorithm. The experiment work of this paper would be applied with one of the famous data that is "iris", this data is suited with k-means algorithm. The experiments were tested with the origin k-means algorithm in two parameters: "execution time" and "cost function" that is represented by sum square error SSE. The results are promise work with this modification

A comparison among methods for estimation of the parameter of the Maxwell- Boltzmann distribution using simulation

Layla Matter Nassir

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 186-200

The Maxwell or Maxwell- Boltzmann distribution was invented to solve problems related to physics, chemistry and plays an important role in and other allied sciences. So in this paper Bayesian using special priorinformation for estimating the scale parameter of Maxwell distribution, the maximum likelihood estimation andthree different types of moments are presented for this. The simulation by matlab program is used to compare these estimators with respect to the Mean Square Error (MSE) and Mean Absolute Percentage Error (MAPE), the results of comparison showed that for all the varying sample size, the estimators of Bayes method with special prior distribution is followed by the Maximum likelihood estimatorhas smaller MSE and MAPE compared to others, and in all cases the statistical hypotheses had been satisfied for both methods the MSEand MAPE decrease as sample size increases.

Evaluation of Double integrals with Continuous Integrands by using Acceleration Methods Aitken‘ s with Rule.

Ali Hassan Mohammed; Safaa Mahdi Muosa; Roua Hamid

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 1-9

The main aim of this research is to evaluate the value of double integrations whose integrands continuous function numerically by using rule (this rule compound from Simpson‘s rule on the exterior dimension Y and Mid point rule on the interior dimension X) when the number of subintervals on the interior dimension equal to the number of subintervals on the exterior dimension , that is mean where as means the distances between ordinates on the X-axis and means the distances between ordinates on the Y-axis . And to improve the results we applied Aitken‘s acceleration over the Yielded values from the SM rule to accelerate the convergence of the approximate to the real value of integrations and we named this method (ASM) and we got good resulte with respect to the accuracy and speed of convergence to the analytic ( real ) values by using little subintervals.

Evaluation of Triple Integrals with Continuous Integrands Numerically by Using Two Methods AI(MMS) and RO(MMS) and comparison Between them

Safaa Mahdi Muosa AL-Gasas

Journal of Al-Qadisiyah for Computer Science and Mathematics, Volume 6, Issue 2, Pages 10-23

The main aim of this paper is to evaluate the triple integrals with continuous integrands numerically by using two method obtained from two accelerations Aitken‘s and Romberg with the combination rule from( two rules Mid- point rule on both two dimensions of exterior Z and middle dimension Y and Simpson‘s rule on the interior dimension X, denoted by MMS) where the number of divisions on the exterior dimension is equal to the number of divisions on the middle dimension and equal to the number of divisions on the interior dimension where we have introduced theorem with proof to find this rule and the correction error bounds with respect its and to improve the results we used two accelerations mentioned with rule MMS and we shall call these two methods AI(MMS) and RO(MMS) where we got high accuracy in the results by few subintervals relatively and short time .