Ref : 269
Title : Prospective of Hyperbolic Function Applications
Author(s) :
 Name : Ahmed Mohamed El-Ezaby Address : University of Science and Technology - Zewail City

 Name : Abdelmoez El Saadany Address : University of Science and technology - zewail city

 Name : Mohamed Megahed Abas Address : University of Science and Technology - Zewail City

Accepted : 2/10/2016 4:29:00 AM
Abstract :
The widespread use of electricity started in the mid 1850’s with the development of telegraphs. Generating plants and transmission lines started to spread and this transmission of electrical power involves the application of hyperbolic functions. Finally, during the early decades of the 1900’s, applications of hyperbolic functions could be found in every scientific discipline, which had significantly improved the efficiency of these applications.

Ref : 268
Title : Quantum Information; The Future of Computation
Author(s) :
 Name : Nadine Amr Address : Zewail City of Science and Technology

 Name : Karim Taher Address : Zewail City of Science and Technology

 Name : Ahmed Fouad Selim Address : Zewail City of Science and Technology

 Name : Omar Osama Alsheikh Address : Zewail City of Science and Technology

Accepted : 2/8/2016 4:29:00 PM
Abstract :
Information science is one of the greatest applications of mathematics, in which mathematicians have made countless contributions to in the past few decades, and made it possible for computers to operate as efficiently as they are nowadays. However, the classical theory of information does have a limit to its power, because of the laws of physics that govern the materials used in them. To continue on our path of development, however, and keep on moving towards improvement of technology, scientists thought of using materials, or rather particles, in which the laws of physics that govern them allow extremely complicated computations to be performed in just a few seconds, a capability not present and will never be present in classical computers; and what defies the laws of nature and our intuition more than quantum physics? Instead of the classical binary unit, which is usually called the bit, physicists worked collaboratively with mathematicians in many institutes in order to make the existence of a quantum binary unit, which is called a qubit, possible. Such technology will be revolutionary to the world of science, information and computation, and it will open the field of innovation for many brains around the world to refine it and apply it on many things, ranging from molecular biology and bioinformatics to security and encryption. It will simply be like the invention of the light bulb, but for the twenty first century.

Ref : 267
Title : Analysis of increasing reliability by equipment redundancy from the systemic perspective for Oil and Gas projects
Author(s) :
 Name : Yerkezhan Shakenova Address : Faculty of Information Technology, Kazakh-British Technical University. 59, Tole bi str, Almaty, Kazakhstan

Accepted : 2/5/2016 3:13:00 PM
Abstract :
In many industrial systems, especially in Oil and Gas industry, reliability has been considered as an important design measure. One way to increase safety and reliability and to make the project as a whole more robust and resilient is to apply equipment redundancy at the design and implementation stages. This process involves selection of components and redundancy levels either in an active or cold-standby mode for individual subsystems. This is achieved by building over capacity into the system through multiple sets of components or standby equipment operating in parallel. However redundancy can also reduce system reliability and increase requirements on system maintenance. So redundancy could possibly be disadvantageous and it’s more likely to occur in offshore projects, especially in subsea systems than in other oil and gas applications. Additionally, redundancy can adversely affect the cost of project, and also other aspects such as the weight of the equipment or the space (“real estate”) needed for the components. Moreover, uptime or availability of redundant components or equipment depends on the maintenance programs used to manage the system. If not properly managed, and if the possibly common cause of failure has not been resolved, the standby components or equipment could fail just as readily at the crucial moment, thereby jeopardising the project itself. Instead of analysing availability of isolated components or equipment, we intend to approach this from the systemic perspective and optimise system wide availability and uptime – we do this by incorporating redundant components or equipment in the most appropriate phases or stages of the project so that the project schedule as a whole is not adversely affected by any equipment failure.

Ref : 266
Title : Analysing of equipment redundancy for increase reliability from the systemic perspective
Author(s) :
 Name : Yerkezhan Shakenova Address : Faculty of Information Technology, Kazakh-British Technical University. 59, Tole bi str, Almaty, Kazakhstan

Accepted : 2/5/2016 3:13:00 PM
Abstract :
In many industrial systems, especially in Oil and Gas industry, reliability has been considered as an important design measure. One way to increase safety and reliability and to make the project as a whole more robust and resilient is to apply equipment redundancy at the design and implementation stages. This process involves selection of components and redundancy levels either in an active or cold-standby mode for individual subsystems. This is achieved by building over capacity into the system through multiple sets of components or standby equipment operating in parallel. However redundancy can also reduce system reliability and increase requirements on system maintenance. So redundancy could possibly be disadvantageous and it’s more likely to occur in offshore projects, especially in subsea systems than in other oil and gas applications. Additionally, redundancy can adversely affect the cost of project, and also other aspects such as the weight of the equipment or the space (“real estate”) needed for the components. Moreover, uptime or availability of redundant components or equipment depends on the maintenance programs used to manage the system. If not properly managed, and if the possibly common cause of failure has not been resolved, the standby components or equipment could fail just as readily at the crucial moment, thereby jeopardising the project itself. Instead of analysing availability of isolated components or equipment, we intend to approach this from the systemic perspective and optimise system wide availability and uptime – we do this by incorporating redundant components or equipment in the most appropriate phases or stages of the project so that the project schedule as a whole is not adversely affected by any equipment failure.

Ref : 265
Title : Development of fuzzy expert system for healthcare system research problems
Author(s) :
 Name : Assemgul Duisenbayeva Address : Department of Information Systems Management, Kazakh- British Technical University, Almaty, Kazakhstan

 Name : Lyazzat Atymtayeva Address : Department of Information Systems Management, Kazakh- British Technical University, Almaty, Kazakhstan

Accepted : 2/5/2016 3:13:00 PM
Abstract :
The nowadays statistics shows a frightening picture of an increase in mortality due to cardio - vascular diseases. So the early identification, detection and prevention of disease development become very crucial task in medicine. The development of expert systems in medicine may give the good foundation for the improvement of medical diagnostics.
In this paper we consider the issues of representation of medical knowledge and development of algorithms for inference engine. Main task is to develop a generic fuzzy expert system for detection and prevention of cardio - vascular diseases that are based on the different methods of fuzzy mathematics. The generic fuzzy expert system has been designed for diagnosis of cardiac diseases. The interface of MatLab is powerful feature of the system that offers user friendly graphical user interface.

Ref : 264
Title : The algorithm of the construction an inverted page table based on the non-classical swapping strategy
Author(s) :
 Name : Yeskendir Sultanov Address : Kazakh-British Technical University

 Name : Anuar Duysembaev Address : Kazakh-British Technical University

Accepted : 2/5/2016 4:49:00 AM
Abstract :
As is known, an efficiency of the transformation of a virtual address into a physical address significantly affects on the performance of the paged systems. These systems are built on flexible and very fast system algorithms, which take into account the features of problems to be solved, as well as data. An important role is played here the choice of the data structures, which support the system algorithms. In this paper as such structure is taken the inverted page table (IPT), which allows to optimize some parameters of the system, such as the size of the memory occupied by the page table, which ultimately reduces the time to transform the virtual address. The famous transform strategy is a strategy based on the XOR functions. The question arises, is it possible to build such transformation algorithm based rather quickly calculated function p mod m, where m - the length of the inverted page table. In this work, we constructed the effective algorithm of the non-numerical type, which transforms the virtual address into the physical address, while as a hash function we used the function p mod m.

Ref : 263
Title : The algorithm of the construction an inverted page table based on the non-classical swapping strategy
Author(s) :
 Name : Yeskendir Sultanov Address : Kazakh-British Technical University

 Name : Anuar Duysembaev Address : Kazakh-British Technical University

Accepted : 2/5/2016 4:49:00 AM
Abstract :
As is known, an efficiency of the transformation of a virtual address into a physical address significantly affects on the performance of the paged systems. These systems are built on flexible and very fast system algorithms, which take into account the features of problems to be solved, as well as data. An important role is played here the choice of the data structures, which support the system algorithms. In this paper as such structure is taken the inverted page table (IPT), which allows to optimize some parameters of the system, such as the size of the memory occupied by the page table, which ultimately reduces the time to transform the virtual address. The famous transform strategy is a strategy based on the XOR functions. The question arises, is it possible to build such transformation algorithm based rather quickly calculated function p mod m, where m - the length of the inverted page table. In this work, we constructed the effective algorithm of the non-numerical type, which transforms the virtual address into the physical address, while as a hash function we used the function p mod m.

Ref : 262
Title : Using system dynamics and simulation to model analyze bank risk management in Kazakhstan and developed world
Author(s) :
 Name : Yertay Rakhimov Address : Faculty of Information Technology, 59, Tole be str. Kazakh-British Technical University

Accepted : 2/5/2016 12:50:00 AM
Abstract :
Evaluating new bank loans has been considered as one of the main dilemmas that banks managers have to deal with in order to reduce the probability of default. This paper describes the simulation tools and techniques that approaches to provide risk management for banking sector using mathematical models/methodologies.

Ref : 261
Title : Intelligent Firewall
Author(s) :
 Name : Raman Buzaubakov Address : Information Systems Department, Faculty of Information Technologies, Kazakh-British Technical University, Almaty/Kazakhstan

Accepted : 2/5/2016 12:51:00 AM
Abstract :
Nowadays in the era of high technology when everything becomes smarter and faster day by day, we should concern and be ready for future threats and danger from cyber attacks. The network security becomes essential part of computer infrastructure of any company. Effective network security targets a variety of threats and stops them from entering or spreading on your network. Firewall is the main part of Network security components that used to block unauthorized access to your network. But how to adapt our firewall for growing number of vast threats and viruses. The main aim of this project is to make firewall more flexible for the future attacks and analyze all the possible solutions that exist today in the market.

Ref : 260
Title : System Dynamics approach for resource management modeling
Author(s) :
 Name : Zhassan Baipakbayev Address : Kazakhstan, Almaty, Navoi str. 38

Accepted : 2/5/2016 12:51:00 AM
Abstract :
Scenario based project management is probably the feature of the project management. The core of which, lies in resource management. Modeling the resource management process is one of the crytical steps in the hole project management process. The system dynamics modeling can show us the holistic view of the process, and makes us understand better.
In this work we consider the resource management modeling from the system dynamics approach.

Ref : 259
Title : Solution of the Fractional Epidemic Model of a vector Born Disease with direct transmission by L-ADm
Author(s) :
 Name : Fazal Haq Address : Hazara University Mansehra Pakistan.

Accepted : 2/4/2016 6:06:00 AM
Abstract :
In this Paper the fractional order epidemic model of a vector-borne disease is consider, assume that having a constant size over the period. Laplace-adomian decomposition method (L-ADM) is used an analytical solution of the system of nonlinear fractional differential equations governing the problem. The result will obtain by RK4 method in case of integer order derivatives.

Ref : 258
Title : A Polynomial Time Quantum Random Walk Algorithm for Boolean Satisfiability
Author(s) :
 Name : Ahmed Younes Address : Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

 Name : Jonathan E. Rowe Address : School of Computer Science, University of Birmingham, Birmingham, B15 2TT, United Kingdom

Accepted : 2/3/2016 12:24:00 AM
Abstract :
The aim of the paper is to answer a long-standing open problem on the relationship between NP and BQP. The paper shows that BQP contains NP by proposing a BQP quantum algorithm for the E3-SAT problem which is a fundamental NP-complete problem. Given an E3-CNF Boolean formula with $n$ inputs, the aim of the E3-SAT problem is to decide if the E3-CNF Boolean formula is satisfiable or not. The proposed algorithm decides if the set of clauses is satisfied using a random walk approach in polynomial time. The random walk chooses randomly to run one of two sub-algorithms at each step. The first algorithm amplifies the probability of the solution using a novel iterative partial negation and partial measurement technique in $O(n^6)$ while the second algorithm amplifies the probability of the solution using entanglement and partial diffusion operator in $O(\sqrt {2^n})$. The algorithm is shown to achieve an arbitrary high probability of success of $1-\epsilon$ for small $\epsilon>0$ using a polynomial resources.

Ref : 257
Title : Entropy Model for SKCANUM (Symmetric Key Cryptography Algorithms Based on Numerical Methods)
Author(s) :
 Name : Hiba Othman Address : Department of Mathematics, American University of Science and Technology (AUST)

Accepted : 2/3/2016 12:24:00 AM
Abstract :
Cryptography is used to protect information content communicated over a network from being accessed by adversaries. This is achieved by transforming (encrypting) plain text before transmission in such a way so that its contents can only be disclosed upon application of a reverse transformation (decryption). Transformations often involve some key used in the process. This paper focuses on estimating the security of a symmetric key cryptography algorithms based on solving non-linear equations using numerical methods. Security is estimated using Shannon’s information theory, in particular, the concept of key equivocation taken as a security measure. The aim of this paper is to investigate the security of the substitution cipher and to recommend ways to improve it.

Ref : 256
Title : Approximate Solution of Fredholm Integral Equation of The Second Kind Using A Combine Method
Author(s) :
 Name : Shoukralla. E. S Address : Prof. Dr. at Faculty of Engineering, Future University

 Name : El-Serafi. S. A Address : Prof.Dr. at Faculty of Electronic Engineering, Menofia University

 Name : Saber. Nermein. A Address : Teaching Assistant at the Faculty of Engimeering, Badr University in Cairo(BUC)

Accepted : 2/3/2016 12:24:00 AM
Abstract :
A Combine method is given for the approximate solution of Fredholm integral equation of the second kind. The proposed method based on the integration techniques, while the kernel and the given known functions of the integral equation are approximated using Maclourin polynomials of degree n with error estimations. An algorithm of the obtained solution is established via matrices. Thus reducing the required solution so that only one coefficient matrix is required to be computed. Therefore computational complexity can be considerably reduced and more computational time can be saved. The new proposed approach needs a small number of iterations to provide an exact result, that proofs the power of the presented combine method.

Ref : 254
Title : The spectrum of the a finite quasi-modular pseudocomplemented lattices
Author(s) :
 Name : Sanaa El assar Address : Tanta university, Faculty of Science, Math Department

 Name : Atallah M. Address : Tanta university, Faculty of Science, Math Department

 Name : E. Atef Address : Tanta university, Faculty of Science, Math Department

Accepted : 2/1/2016 2:56:00 PM
Abstract :
In this note, we propose the minimal representation of an element in a quasi-modular pseudocomplemented lattice (PCL) satisfying the descending chain condition generalizing of the result of Ji and Xin for modular PCLs. We prove that the minimal representation of an element is unique. Necessary and sufficient conditions are given under which a sequence of positive integers can be the spectrum of a quasi-modular PCL. An alternative proof is presented following Katrinaks work. These results settle the problems raised by Gratzer, Gungerson and Quackenbush in 2009, in case of quasi-modular PCLs which form a larger class that contains the modular one. Finally, we characterize the spectrum of a finite quasi-modular S-algebras.

Ref : 253
Title : Parameter estimation in metabolic control analysis in enzyme kinetic systems
Author(s) :
 Name : Mustafa Bayram Address : Department of Healthcare Management, Uskudar university, Istanbul, Turkey

Accepted : 2/1/2016 12:26:00 AM
Abstract :
Determination of enzyme kinetic parameters has traditionally been made by isolating individual enzymes in vitro and performing initial rate experiments.
It is possible to write down the equations governing a one-stageenzyme-catalysed reaction (according toMichaelis–Menten kinetics) quite easily, and deduce information about the steady-state flux in such a system. The situation is some what more complicated if several such reactions form a linear chain. A procedure for fitting enzyme kinetic data directly to the flux equation was described. It involves choosing parameters that minimize the sum of the squares of deviations due to errors in s, the substrate concentration at time t. Estimates of the standard errors of the parameters are provided using computer algebra and numerical analysis techniques.

Ref : 252
Title : Influence of Bi-doped TiO2 layer on the performance of dye-sensitized solar cells
Author(s) :
 Name : Alshimaa Ali Address : Department of Physics, Faculty of Science, Menoufia University, Egypt.

 Name : Ahmed Alhamalawy Address : Department of Physics, Faculty of Science, Menoufia University, Egypt.

 Name : Meawad Elkholy Address : Department of Physics, Faculty of Science, Menoufia University, Egypt.

Accepted : 2/1/2016 12:26:00 AM
Abstract :
A new method to prepare Bi-doped TiO2 pastes with different ratios was used to obtain dye sensitized solar cells(DSSCS).TiO2 powder was derived from home- made TiO2 nano-particles. The crystalline size of Bi-doped TiO2,strain and lattice distortion were calculated. The samples were characterized by X-ray diffraction analysis (XRD), field emission scanning electron microscopy (FESEM) and energy dispersive X-ray (EDX). Photovoltaic behavior of dye sensitized solar cells prepared by Bi-doped TiO2 was studied.

Ref : 251
Title : Oscillation of Fractional Order Functional Differential Equations With Nonlinear Damping
Author(s) :
 Name : Hakan Adiguzel Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

 Name : Mustafa Bayram Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

 Name : Suleyman Ogrekci Address : Department of Mathematics, Sciences&Arts Faculty, Amasya University, Amasya, Turkey

Accepted : 1/29/2016 2:43:00 PM
Abstract :
In this paper, we are concerned with the oscillatory behavior of a class of fractional
differential equations with functional terms. The fractional derivative defined in the sense of
the modified Riemann-Liouville derivative. Based ona a certain variable transformation, by
using generalized Riccati transformation, Generalized Philos type kernels and averagaging
technique we establish new interval oscillation criteria. Illustrative examples also given.

Ref : 250
Title : Oscillation Criteria for A class of Fractional Order Functional Differential Equation with Nonlinear Damping Term
Author(s) :
 Name : Aydin Secer Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

 Name : Mustafa Bayram Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

 Name : Hakan Adiguzel Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

Accepted : 1/29/2016 2:43:00 PM
Abstract :
In this paper, we are concerned with the oscillations in a class of fractional order funtional differential equation with nonlinear damping term. By generalized Riccati transformation and inequality technique, some new oscillation criteria for the equations are obtained

Ref : 248
Title : Oscillation of Solutions to Nonlinear Fractional Differential Equation with Damping Term
Author(s) :
 Name : Hakan Adiguzel Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

 Name : Mustafa Bayram Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

 Name : Aydin Secer Address : Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yildiz Technical University, Istanbul, Turkey

Accepted : 1/29/2016 2:44:00 PM
Abstract :
In this study, we study the oscillation of solutions to a nonlinear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. Based on a certain variable transformation, by using a generalized Riccati transformation, inequality, and integration average technique, we establish new oscillation criteria. Several illustrative examples are also given.

Ref : 247
Title : On Slightly G-Precontiuous functions
Author(s) :
 Name : A. A. AZZAM Address : Department of Math. Faculaty of science, Assuit university, New Vally

Accepted : 1/29/2016 2:45:00 PM
Abstract :
In this paper a new class of functions called slightly G-precontinuous functions has been de ned and studied Grill topological spaces. Some characterization and several basic properties of this class of functions are obtained.

AMS Mathematics Subject Classi cation: (2000) 54A05, 54C10.
Keywords and Phrases: Grill topological space, G-preopen sets, Slightly
G-precontinuty.
1

Ref : 245
Title : Management of Quantum Databases
Author(s) :
 Name : M A. A. Zidan, Abdel-Haleem Abdel-Aty Address : Physics Department, Faculty of Science, Al-Azhar University, Assiut , Egypt

Accepted : 1/25/2016 3:30:00 PM
Abstract :
Databases is the essential entity for building quantum operating systems. In this paper we propose a novel quantum algorithm to perform manipulation of quantum databases based on the unique properties of quantum information and computation such as superposition and entanglement.

Ref : 244
Title : EKNN: Ensemble Classification by Incorporating Connectivity and Density into KNN Applied to Genetic Cancer Diagnosis
Author(s) :
 Name : Mohamed A. Mahfouz Address : 300, Gamal Abdelnaser St., Alexandria, Miami

Accepted : 1/25/2016 3:56:00 AM
Abstract :
Microarray based approach for automated diagnostic of cancer has been used in various research studies. By analyzing the gene expression deviation from its normal composition, classification algorithms are able to assign cancer grades to incoming sample. In this study, a novel ensemble classification scheme relative to the famous K-Nearest Neighbors algorithm (KNN) is proposed. The proposed algorithm (EKNN) exploits the increase in connectivity and density in classifying gene samples into normal and malignant classes. Novelty of EKNN is in two complementary ways. First, an efficient dimension reduction technique based on graph coloring is proposed and compared to two state of the art dimension reduction techniques. Second, a majority based ensemble of two novel classification models, beside the traditional k-nearest-neighbors, has been proposed. In the first model, the incoming pattern is classified as class t if class t achieves the highest increase in density if this pattern is added to it. In the second model, the class that achieves the highest reduction in the average distance of the k neighbors of its members when the incoming pattern is added to it, is chosen. Combining the predicted results of individual models makes the decision space more discriminative. The proposed technique has been tested on several datasets. An improved performance has been achieved compared to the traditional KNN algorithm and previously reported gene based cancer detection techniques.
Keywords: Cancer Diagnosis , Ensemble Classification, Gene Expressions, Dimension Reduction

Ref : 243
Title : Dynamical analysis of fractional-order biological model and its discretization
Author(s) :
 Name : A. A. Elsadany Address : Department of Basic Science, Faculty of Computers and Informatics, Ismailia 41522, Suez Canal University, Egypt

Accepted : 1/22/2016 10:09:00 AM
Abstract :
In this work, we study some dynamical behaviors in the fractional-order Lotka-Volterra system. We investigate the stability conditions in the system. Also, the analytical conditions of stability of the discretized system are studied. Furthermore, chaotic behaviors in the discretized system are obtained. It is shown that the discretized system exhibits much richer dynamical behaviors than its corresponding
fractional-order form; in the discretized system, many types of bifurcation and chaos are obtained however the dynamics of fractional-order counterpart is included only stable (unstable) equilibria.

Ref : 242
Title : On the Optimal Control for Multi􀀀Strain TB Models
Author(s) :
 Name : Nasser H. Sweilam Address : Cairo University, Faculty of Science, Mathematics Department, Giza, Egypt

Accepted : 1/21/2016 9:34:00 AM
Abstract :
In this paper, optimal control of a general nonlinear multi-strain TB model which incorporates three strains: drug-sensitive, emerging multi-drug resistant(MDR) and extensively drug-resistant(XDR) is presented. The general multi-strain TB model is introduced as a fractional-order multi-strain TB model. The fractional derivatives are described in the Caputo sense. An optimal control problem is formulated and studied theoretically using the Pontryagin maximum principle. Four controls variables are proposed to minimize the cost of interventions. Two simple numerical methods are used to study the nonlinear fractional optimal control problem (FOCP). The methods are, the iterative optimal control method (IOCM) and the generalized Euler method (GEM). Comparative studies are implemented, it is found that IOCM method is better than GEM

Ref : 241
Title : AVLINK: Robust Clustering Algorithm based on Average Link Applied to Protein Sequence Analysis
Author(s) :
 Name : Mohamed A. Mahfouz Address : 300, Gamal Abdelnaser St., Alexandria, Miami

Accepted : 1/21/2016 9:34:00 AM
Abstract :
Abstract— Robust Clustering methods are aimed at avoiding unsatisfactory results resulting from the presence of certain amount of outlying observations in the input data of many practical applications such as biological sequences analysis or gene expressions analysis. This paper presents a fuzzy iterative algorithm based on average link termed as AVLINK that maximizes the average similarity between pairs of patterns within the same cluster and at the same time the size of a cluster is maximized by computing the zeros of the derivative of appropriate objective function. The proposed algorithm is comprised of a judicious integration of the principles of Average link and possibilistic clustering paradigm. This integration enables robust selection of the minimum set of the most informative bio-bases from the lower bound of the produced clusters. AVLINK along with the proposed initialization procedure with a few less sensitive input parameters shows a high outliers rejection capability as it makes their membership very low furthermore it does not requires the number of clusters to be known in advance and it can discover clusters of non convex shape. The effectiveness and robustness of the proposed algorithms, along with a comparison with other algorithms, have been demonstrated on different types of protein data sets.

Ref : 240
Title : Fifty Years of Hoare Sorting Algoritms: A Global Stochastic View of the Quicksort Techniques
Author(s) :
 Name : Mahmoud Ragab Address : Mathematics Department, Faculty of Science, Al Azhar University, Nasr City (11884), Cairo, Egypt.

Accepted : 1/21/2016 1:34:00 AM
Abstract :
Quicksort was chosen as one of the 10 most important algorithms. Quick-sort serves also as a challenging random divide-and-conquer algorithm for a mathematical analysis. We focus here on the average cost of a special version of the Quicksort algorithm, depending on the choice of the Pivot element. Starting with the worst case, the best case and the expected running time we know nowadays much finer results on the limiting distribution, the existence via martingale methods and a characterization as a stochastic fixed point. The running time for many versions, actually all versions I know of, can be analyzed by smart tools. focus here on the average cost of these algorithms, depending on the choice of the sample. We also present the Contraction method and Weighted Branching Process invented for Quicksort. Keywords and phrases: sorting algorithms, Quicksort, running time analysis, stochastic process.

Ref : 239
Title : Fifty Years of Hoare Sorting Algoritms: A Global Stochastic View of the Quicksort Techniques
Author(s) :
 Name : Mahmoud Ragab Address : Mathematics Department, Faculty of Science, Al Azhar University, Nasr City (11884), Cairo, Egypt.

Accepted : 1/21/2016 1:34:00 AM
Abstract :
Quicksort was chosen as one of the 10 most important algorithms. Quicksort serves also as a challenging random divide-and-conquer algorithm for a mathematical analysis. We focus here on the average cost of a special version of the Quicksort algorithm, depending on the choice of the Pivot element. Starting with the worst case, the best case and the expected running time we know nowadays much finer results on the limiting distribution, the existence via martingale methods and a characterization as a stochastic fixed point.The running time for many versions, actually all versions I know of, can be analyzed by smart tools. focus here on the average cost of these algorithms, depending on the choice of the sample. We also present the Contraction method and Weighted Branching Process invented for Quicksort.

Ref : 237
Title : Recent developments on solving systems of coupled generalized Sylvester matrix equations using iterative algorithms
Author(s) :
 Name : Mohamed Abdel-Latif Ramdan Address : Department of Mathematics, Faculty of Science,Menoufia University, Shebeen El- Kom, Egypt

Accepted : 1/19/2016 7:51:00 AM
Abstract :
Abstract
The problem of solving matrix equations has become a hot topic in the field of numerical linear algebra. In this talk, I will shed light on my recent contributions dealing with solutions of systems Sylvester matrix equations. Three main gradient based iterative techniques will be presented
The first technique is called a relaxed gradient based algorithm for solving extended Sylvester-conjugate matrix equations. In the second technique a modified gradient based algorithm for solving extended Sylvester- conjugate matrix equations is considered. The third technique is a recent suggested joint work and we called it an accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations.
.

Ref : 236
Title : Recent developments on solving systems of coupled generalized Sylvester matrix equations using iterative algorithms
Author(s) :
 Name : Mohamed Abdel-Latif Ramadan Address : Department of Mathematics, Faculty of Science Menoufia University, Shebeen El- Koom, Egypt

Accepted : 1/19/2016 7:47:00 AM
Abstract :
The problem of solving matrix equations has become a hot topic in the field of numerical linear algebra. In this talk, I will shed light on my recent contributions dealing with solutions of systems Sylvester matrix equations. Three main gradient based iterative techniques will be presented. The first technique is called a relaxed gradient based algorithm for solving extended Sylvester-conjugate matrix equations. In the second technique a modified gradient based algorithm for solving extended Sylvester- conjugate matrix equations is considered. The third technique is a recent suggested joint work and we called it an accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations.

Ref : 235
Title : ON THE EVALUATION OF LEACH PROTOCOL FOR WSN
Author(s) :
 Name : Soha Mohamed Hassan Address : Harbin, China

Accepted : 1/19/2016 7:48:00 AM
Abstract :
The design of WSN is an issue that is considered a challenge for routing protocol with energy efficiency. An effective way in sensor nodes is clustering that achieves energy efficiency. low energy adaptive clustering hierarchy (LEACH) protocol is the first and most efficient hierarchical cluster based routing protocol used in WSN to increase the lifetime of network. In this paper, we give a detailed simulation study of LEACH protocol. Using proposed enhancement which consider the distance between the non-head nodes and the cluster head nodes. We get more accurate analysis of energy consumption that can be scaled. Thus, the user can define more limitations on nodes usage for data transmission. Simulation results show that the proposed enhancement decrease energy consumption and lengthen the total lifetime of WSN compared to original LEACH.

Ref : 234
Title : ESTIMATIONS FOR CONSTANT PARTIALLY ACCELERATED LIFE TESTS FOR LINDLEY DISTRIBUTION BASED ON PROGRESSIVE TYPE-II SENSORING
Author(s) :
 Name : Gamal A. Abd-Elmougod Address : Department of Mathematics, Faculty of Science, Taif University, Kingdom of Saudi Arabia

 Name : Saher A. Awaji Address : Department of Mathematics, Faculty of Science, Taif University, Kingdom of Saudi Arabia

Accepted : 1/19/2016 7:48:00 AM
Abstract :
In this paper, the constant PALT applied to items whose life times under design condition are assumed to follows Lindley distribution under a progressive type II censoring. The likelihood equations of the involved parameters are derived and then reduced to a single nonlinear equation to be solved numerically to obtain the maximum likelihood estimates (MLEs) of the parameters. Approximate confidence intervals (CIs) for the parameters, based on normal approximation to the asymptotic distribution of MLEs, as well as the bootstrap confidence intervals are also proposed. The Bayes estimators are computed using the idea of MCMC methods to generate from the posterior distributions. A Monte Carlo simulation study is carried out to investigate the precision of the MLEs and to compare the performance of different corresponding confidence intervals considered. Finally, analysis of a simulated data set has also been presented for illustrative purposes.

Ref : 233
Title : PERFORMANCE EVALUATION OF PROACTIVE AND REACTIVE
Author(s) :
 Name : Hamdy.H El-Sayed Address : Math Department - Faculty of Science- Sohag University-Egypt

 Name : Marghny H.Mohamed Address : CS Dept., Faculty of computer and information, Assiut University, Egypt

 Name : Mahmoud.A Mofaddel Address : Math Department - Faculty of Science- Sohag University-Egypt

Accepted : 1/17/2016 9:35:00 AM
Abstract :
A mobile ad hoc network (MANET) consists of mobile wireless nodes. The communication between these mobile nodes is carried out without any centralized infrastructure. MANET is a self-organized and self-configurable network where the mobile nodes move randomly. The mobile nodes act as router it can receive and forward packets. This type of networks has difficult to find a path between the communicating nodes because of limited resources and energy. Routing is the process of moving information across the network from source to destination. Routing is a critical issue in MANET and hence the focus of this paper on the performance of proactive and reactive routing protocols. We compared Optimized Link State Routing (OLSR) and Bee-Dijkstra Algorithm (BDA) using hop count, path cost, CPU time and delivery rate as a parameter with some network characteristics changes like topology changes, average number of neighbor nodes and node density. The study depicts that the BDA is more accurate than OLSR but OLSR protocol is particularly suitable for large and dense networks.

Ref : 232
Title : An efficient iterative method for solving Fredholm integral equations using Triangular functions
Author(s) :
 Name : Mohamed A. Ramadan Address : Department of Mathematics, Faculty of Science, Menoufia University. Shbeen El-Koom,Egypt

Accepted : 1/17/2016 9:35:00 AM
Abstract :
In this paper the orthogonal triangular function (TF) based method is first applied to transform the Fredholm integral equations and Fredholm system of integral equations to a coupled systems of matrix algebraic equations. The obtained systems are a variant of coupled Sylvester matrix equations. A finite iterative algorithm is then applied to solve these systems to obtain the coefficients used to get the form of approximate solution of the unknown functions of the integral problems. Some numerical examples are solved to illustrate the accuracy and the efficiency of the proposed hybrid method. The obtained numerical results are compared with other numerical methods and the exact solutions.

Ref : 231
Title : Characterizing Solutions of Rough Programming Problem Based on A Boundary Function
Author(s) :
 Name : H. G. Gomaa Address : Computer Science Institute, Suez, Egypt.

Accepted : 1/17/2016 2:19:00 AM
Abstract :
In this paper we introduce the concept of rough function based on a function of boundary region as well as the convexity and differentiability of rough function. Also a new kind of rough programming problem and its solutions are presented according to the notion of boundary function.

Ref : 230
Title : ESTIMATIONS FOR CONSTANT PARTIALLY ACCELERATED LIFE TESTS FOR LINDLEY DISTRIBUTION BASED ON PROGRESSIVE TYPE-II SENSORING
Author(s) :
 Name : Gamal A. Abd-Elmougod Address : Department of Mathematics, Faculty of Science, Taif University, Kingdom of Saudi Arabia

Accepted : 1/16/2016 9:21:00 PM
Abstract :
In this paper, the constant PALT applied to items whose life times under design condition are assumed to follows Lindley distribution under a progressive type II censoring. The likelihood equations of the involved parameters are derived and then reduced to a single nonlinear equation to be solved numerically to obtain the maximum likelihood estimates (MLEs) of the parameters. Approximate confidence intervals (CIs) for the parameters, based on normal approximation to the asymptotic distribution of MLEs, as well as the bootstrap confidence intervals are also proposed. The Bayes estimators are computed using the idea of MCMC methods to generate from the posterior distributions. A Monte Carlo simulation study is carried out to investigate the precision of the MLEs and to compare the performance of different corresponding confidence intervals considered. Finally, analysis of a simulated data set has also been presented for illustrative purposes.

Ref : 229
Title : A critical review of physiological bubble formation in the bio tissues
Author(s) :
 Name : Selim Ali Mohammadein Address : Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Accepted : 1/16/2016 11:42:00 AM
Abstract :
The growth and collapse of Nitrogen gas bubbles in the bio tissues of Divers who surface too quickly to the sea level is obtained. The extended Mohammadein mathematical model is formulated by Fick, and concentration equations and solved analytically. The collapse operation is affected by tissue concentration diffusivity and void fraction. The concentration distribution surrounded the collapsing gas bubbles proportional with time and inversely with tissue concentration diffusivity. The collapse of gas bubble performs lower values in under water stage than after the end of decompression pressure stages. The model is used to study the harmful effects of the decompression sickness (DCS).

Ref : 227
Title : Analysis of Waveguides and Antennas
Author(s) :
 Name : Mohamed Tarek ElHefnawy Address : 16A street 199 Degla - Maadi - Cairo

Accepted : 1/15/2016 1:57:00 PM
Abstract :
Waveguides assume many different forms that depend on the purpose of the guide and the waves to be transmitted. The simplest form is the parallel plate guide. Other forms are the hollow-pipe guides including the rectangular and circular guides. Dielectric waveguides used primarily at optical frequencies include slab waveguide and optical fibers. Each of these structures possesses certain advantages over the others depending on the application and the frequency of the waves to be transmitted. . In order to radiate EM waves efficiently in prescribed directions, the charges and currents must be distributed in specific ways. Antennas are structures designed for radiating EM energy in prescribed manner. Without an efficient antenna, EM energy would be localized. Maxwell’s equations govern the propagation of EM waves in all of these structures. Each structure and form has its own analysis. Analytical and numerical approaches can be investigated in various structures.

Ref : 226
Title : Effect of detuning on the dynamics of information for a non-Markovian regime
Author(s) :
 Name : A.-S.F. Obada Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt

 Name : M.E. Shaheen Address : Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt

Accepted : 1/15/2016 1:57:00 PM
Abstract :
Two qubits in two independent structured reservoirs or in a common structured reservoir with non-resonant interactions are considered. We study the effects of detuning on information and entanglement through temporal evolution of atomic quantum Fisher information and partial entropy of the qubit. The relationship between quantum Fisher information flow and quantum entanglement has been investigated.

Ref : 225
Title : Huffman compression algorithm
Author(s) :
 Name : Mahmoud El-Sayed Abdelhammed Address : University of science and technology in ZewailCity

Accepted : 1/15/2016 1:58:00 PM
Abstract :
Abstract:
In this research, We are testing various prediction error techniques including linear and non linear methods and report how they affect the entropy and thus the compression ratio of compressed data based on the lossless compression algorithm Huffman source coding and block coding which is based on variable code lengths rather than the fixed code length of the ascii coding. Moreover, new combined techniques and multi-layer prediction error will be tested on different data which will be Images or alphabetical data in form of coded messages

Ref : 224
Title : Effect of detuning on the dynamics of information for a non-Markovian regime
Author(s) :
 Name : A.-S.F. Obada Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt

Accepted : 1/15/2016 1:58:00 PM
Abstract :
Two qubits in two independent structured reservoirs or in a common structured reservoir with non-resonant interactions are considered. We study the effects of detuning on information and entanglement through temporal evolution of atomic quantum Fisher information and von Neumman entropy of the qubit. We discuss the relationship between quantum Fisher information flow and quantum entanglement for the non-Markovian regime .

Ref : 223
Title : Shykon theory and heat transfer between two-phase flow (Postulates and Applications)
Author(s) :
 Name : Selim Ali Mohammadein Address : 1Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Accepted : 1/15/2016 1:58:00 PM
Abstract :
A new theory of heat is built on the basis of thermal elementary particles (Shykons). The postulates of the present theory have been applied to solve the heat exchange problem between two phase-flow. Temperature distribution surrounding a growing vapour bubble is obtained analytically. Thermal relaxation time is calculated in terms of void fraction and initial bubble velocity. The obtained results are compared with the previous published models and MOBY DICK experiment a good agreement. The obtain results in terms of shykon mass prove the validity of present theory(assumptions and application and real step the unified theory.

Ref : 222
Title : Application Decision Making-Based Scheme for Method Offloading in Mobile Cloud Computing Environments
Author(s) :
 Name : Ahmed. A. A. Gad-ElRab Address : Department of Mathematics Faculty of Science Al-Azhar University, Cairo, Egypt

 Name : T. A. A. Alzohairy Address : Department of Mathematics Faculty of Science Al-Azhar University, Cairo, Egypt

 Name : Farouk. A. Emara Address : Department of Mathematics Faculty of Science Al-Azhar University, Cairo, Egypt

Accepted : 1/15/2016 1:58:00 PM
Abstract :

Ref : 221
Title : Growth of Vapour Bubbles Between Two-phase Bubbly Flow inside a Cylindrical Tube
Author(s) :
 Name : A. K. Abu-Nab Address : Department of Mathematics, Faculty of Science, Menoufia University, Shebin El-Koom , Egypt

 Name : S. A. Mohammadein Address : Department of Mathematics, Faculty of Science, Tanta University, Egypt

Accepted : 1/14/2016 1:42:00 PM
Abstract :
The growth of a vapour bubble in a superheated liquid in a cylindrical tube is studied. The problem is solved analytically using the modified method of Plesset and Zwick method. The pressure difference is described in terms of temperature difference. The growth of bubble radius is proportional with different physical parameters. The pressure distribution and flow velocities are obtained. Moreover, better agreements with some previous theoretical efforts.

Ref : 219
Title : Influences of Thermophoresis, Hall Currents and Heat Generation
Author(s) :
 Name : A.R.Abd Al-Mohaimen (Ahmed Refaie Abd Al-Mohaimen) Address : Department of Mathematics, Faculty of science, Damietta University, New Damietta city, Egypt.

 Name : N.T.M.Eldabe (Nabi Tawfeek Mohammed Eldabe) Address : Department of mathematics,Faculty of Education,Ain Shams University,Roxy,Heliopolis,cairo,Egypt

 Name : A.A.El-shekhipy (Abdelhafeez Ahmed El-shekhipy) Address : Mathematics Department, Faculty of Science, Minia University, El-Minia, Egypt.

Accepted : 1/14/2016 8:10:00 AM
Abstract :
A mathematical model analysis has been developed to investigate the effect of thermophoresis on unsteady flow of Non-Newtonian fluid with heat and mass transfer over a vertical infinite porous plate through a porous medium.The fluid is obeying to a second grade model where its flow is permeated by a uniform strong magnetic field and so the hall currents are taken into the consideration .Also, The effects of thermal radiation , heat generation or absorption and thermal diffusion (soret effect) have been studied in the presence of viscous dissipation and chemical reaction. The problem is modulated mathematically by a system of coupled Non-linear partial differential equations which pertaining to describe the Continuity,Momentum,Energy and Concentration.The Numerical solutions of the resulting dimensionless equations are founded as a functions of the physical parameters of this problem .The field variables from the numerical computations ,dimensionless velocities u \& w ,temperature $\theta$ and concentration C profiles as well as the local skin -friction coefficient($C_f$) , the local Nusselt number($Nu$) and Sherwood number($Sh$) are obtained and illustrated graphically for different values of the physical parameters that is significant in this study.

Ref : 218
Title : Estimation of coefficient of variation Based on Adaptive Type-II Progressive Censoring
Author(s) :
 Name : A. A. Soliman Address : Department of Mathematics, Sohag University, Sohag, Egypt, Department of Mathematics, Islamic University, Madinah, Saudi Arabia

 Name : N. A. Abou-Elheggag Address : Department of Mathematics, Sohag University, Sohag, Egypt

 Name : E. E. Ahmed Address : Department of Mathematics, Sohag University, Sohag, Egypt

 Name : S. M. Ahmed Address : Department of Mathematics, Sohag University, Sohag, Egypt

Accepted : 1/14/2016 8:11:00 AM
Abstract :
In applied statistics, the coefficient of variation (CV) of a distribution is considered as one of the useful descriptive measures for describing variability. However, inferences concerning the coefficient of variation of non-normal distributions are rarely reported. In this paper, estimation of coefficient of variation using an adaptive Type-II progressive censored data for the Inverse Weibull distribution (IWD) is developed. A point estimates as well as interval estimates of CV are obtained using Bayesian and non-Bayesian approaches. In Bayesian approach, the joint prior density as a product of two independent gamma densities for the unknown (IWD) parameters is considered. In addition, Markov Chain Monte Carlo (MCMC) method to generate from the posterior distributions and computing the Bayes estimate is proposed.. A numerical example is provided to illustrate our proposed methods. Results from simulation studies assessing the performance of the maximum likelihood and Bayes estimates are included.

Ref : 217
Title : Three-dimensional blood vessel detection from low-dose CT imaging using shape prior approach
Author(s) :
 Name : Esraa A. Mohamed Address : Department of Mathematics, Faculty of Science, Suez Canal University,Isamilia, Egypt

 Name : Essam A. Rashed Address : Department of Mathematics, Faculty of Science, Suez Canal University,Isamilia, Egypt

 Name : H. M. Hewedi Address : Department of Mathematics, Faculty of Science, Suez Canal University,Isamilia, Egypt

Accepted : 1/14/2016 12:16:00 PM
Abstract :
The identification of blood vessels is an important image processing technique in several medical imaging applications. Computed tomography (CT) is a common imaging modality used for blood vessels imaging. It can provide a high quality images for both diagnosis and treatment purposes. However, CT is known as a source of high radiation dose especially for cases required a follow up scans in short time. Reducing the CT dose is knows to produce statistical noise and artifacts that significantly reduce the image quality. In this paper, we propose a method for three-dimensional (3D) blood vessel detection from low-dose CT images. We employ a shape prior model to identify blood vessels as a post-processing step. The CT image reconstructed from low-dose projection data is used to identify the vessels using convex shape prior and morphological filters. Moreover, we develop a pixel connectivity model for 3D whole vascular network identification. The proposed method is tested for 3D blood vessel phantom and achieves superior results. It is also found that the proposed method is potentially useful in detecting lung airways.

Ref : 216
Title : Generalized Superposition of Squeezed Displaced Fock States
Author(s) :
 Name : Norhan H. Gerish Address : Department of Mathematics, Faculty of Science, Suez Canal University,Isamilia, Egypt

Accepted : 1/14/2016 12:16:00 PM
Abstract :
The s-parametrized characteristic function for the superposition of squeezed displaced rock states is presented . the s-parametrized distribution function for superposition of SDFSs are investigated for different coherent state.The moments are obtained by using this characteristic function. The Glauber second-order correlation function is calculated. The squeezing properties of the superposition of SDFSs are studied. Analytical and numerical results for the quadrature component distribution for the superposition of pair of SDFSs are presented.

Ref : 215
Title : Solving of nonlinear fractional differential equations by using Mittage - Leffler method
Author(s) :
 Name : S. Z. Rida Address : Dept. of Math., Faculty. of Science, Qina University

 Name : Y. G. Gouda Address : Dept. of Math., Faculty of Science, Aswan University

 Name : M. M. Farag Address : Dept. of Math. Faculty of Science, Aswan University

Accepted : 1/14/2016 12:16:00 PM
Abstract :
The fractional calculus plays an important role in many fields. It is considered as one of realistic modeling of a natural phenomenon that does not depend only on the instant time, but also on the history of the previous time which can be successfully achieved by using fractional calculus. In this article we use a Mittage – Leffler method to solve some problems of nonlinear differential equations with fractional order. The fractional derivatives are described in Caputo power series.

Ref : 214
Title : On Lyapunov Exponential Stability of Abstract First Order Dynamic Equations on Time Scales
Author(s) :

 Name : Alaa E. Hamza Address : Cairo, Egypt

Accepted : 1/14/2016 3:51:00 AM
Abstract :
In this paper, we establish new sufficient conditions for the exponential stability of the abstract first order dynamic equation
{█(x^∆ (t)=F(t,x(t)), t∈T_τ^+≔[τ,∞)_T,@x(τ)=x_τ∈H,)┤
Where F:T×H→H is rd-continuous function in the first argument with F(t,0)=0, by using lyapunov functions technique. Here, H is a Hilbert space. Finally, we give an illustrative example

Ref : 212
Title : Hellinger Optimal Criterion and HP_A- Optimum Designs for Model Discrimination and Probability-Based Optimality
Author(s) :
 Name : N. M. Kilany Address : Faculty of Science, Menoufia University, Egypt

 Name : W. A. Hassanein Address : Faculty of Science, Tanta University, Egypt

Accepted : 1/14/2016 3:51:00 AM
Abstract :
Kullback-Leibler (KL) optimality criterion has been considered in the literature for model discrimination. However, Hellinger distance has many advantages rather than KL-distance. For that reason, in this paper a new criterion based on the Hellinger distance named by Hellinger (H) -optimality criterion is proposed to discriminate between two rival models. An equivalence theorem is proved for this criterion. Furthermore, a new compound criterion is constructed that possess both discrimination and a high probability of desired outcome properties. Discrimination between binary and Logistic GLM are suggested based on the new criteria.

Ref : 210
Title : Wave equation using finite element analysis 1D
Author(s) :
 Name : Ahmed Samir Ewida Address : Zewail City of Science and Technology

 Name : Ahmed Alghanam Address : Zewail City of Science and Technology

 Name : Waleed Hamdy Elshemy Address : Zewail City of Science and Technology

Accepted : 1/14/2016 12:16:00 PM
Abstract :
Blogging the approximate solution back to the equation and multiplying by weighting function and integrate over the whole domain, we find weighting function.

Ref : 209
Title : Theoretical study on the influence of wavelength in laser-induced breakdown and plasma formation of CO2 gas.
Author(s) :
 Name : M.A A.Elsayed Address : Department of Physics, Faculty of Science, Menoufia University, Egypt.

 Name : Y. S. Rammah Address : Department of Physics, Faculty of Science, Menoufia University, Egypt.

 Name : M.M. El-Kholy Address : Department of Physics, Faculty of Science, Menoufia University, Egypt.

 Name : Y.EE-D. Gamal Address : National Institute of Laser Enhanced Science, Cairo University, Egypt.

Accepted : 1/14/2016 3:52:00 AM
Abstract :
During the last few decades the phenomenon of gas breakdown and plasma generation has attracted the interest of many physicists due to its important applications in different scientific and science life fields. Practically this phenomenon depends mainly on laser characteristics and nature of gas. Previous studies that carried out to investigate this phenomenon revealed with a great success many of the physical concepts when laser sources of wavelengths in the infra-red and visible regions of the electromagnetic spectrum are used. While for shorter wavelengths the investigation of this phenomenon still represents an open question. In this work a theoretical investigation of the breakdown of CO2 gas at atmospheric pressure induced by laser sources operating at different characteristics is presented. This gasis deliberately chosen since it represents one of the highest pollutants in the atmosphere. The study based on the application of a modified electron cascade model which solves numerically the time dependent Boltzmann equation for the electron energy distribution function (EEDF) simultaneously with a set of rate equations that describe the rate of change of the formed excited states population. The model takes into account all the possible physical processes which might take place in the interaction volume. Calculations are performed corresponding to published experimental measurements on the breakdown of CO2 by wide range of wavelengths to obtain the following outcomes: (i) a relation between the threshold irradiance and laser wavelength, (ii) comparison between the calculated and measured thresholds to validate the model, and (iii) the EEDF and its parameters to determine the contribution of each physical process to the breakdown phenomenon and its effect on determining the threshold intensity for the corresponding wavelength.

Ref : 208
Title : Peristaltic Transport with Cilia Influence of Magneto-Fluid Through a Porous Medium: Numerical Study
Author(s) :
 Name : Kh. S. Mekheimer Address : Mathematical Department, Faculty of Science (Men), Al-Azhar University, Nasr City 11884, Cairo, Egypt

 Name : R.E. Abo-Elkhair Address : Mathematical Department, Faculty of Science (Men), Al-Azhar University, Nasr City 11884, Cairo, Egypt

 Name : A.M.A. Moawad Address : Mathematical Department, Faculty of Science (Men), Al-Azhar University, Nasr City 11884, Cairo, Egypt

Accepted : 1/14/2016 3:53:00 AM
Abstract :
The aim of this problem is to study the peristaltic transport with cilia influence of magneto, Newtonian, homogeneous and incompressible viscous fluid through a porous medium in a two-dimensional symmetric channel by using Adomian Decomposition Method to solve it. The expressions for stream function, velocity and vorticity are obtained without any approximation for the governing equations and also for the choice of the problem parameters values, but we used the Adomian Decomposition Method as approximated one. The effects for arbitrary values of the problem parameters on flow characteristics are studied in detail.

Ref : 207
Title : Application Decision Making-Based Scheme for Method Offloading in Mobile Cloud Computing Environments
Author(s) :
 Name : Ahmed A.A. Gad-ElRab Address : Department of Mathematics Faculty of Science Al-Azhar University, Cairo, Egypt

 Name : T.A.A. Alzohairy Address : Department of Mathematics Faculty of Science Al-Azhar University, Cairo, Egypt

Accepted : 1/14/2016 3:53:00 AM
Abstract :

Ref : 205
Title : The estimations under power normalization for the tail index, with comparison
Author(s) :
 Name : E. M. Nigm Address : Zagazig University-Faculty of Science-Egypt

Accepted : 1/13/2016 8:09:00 AM
Abstract :
The objective of this talk is to suggest two classes of moment and moment ratio estimators under power normalization for the tail index. Moreover, for quantitative comparison of the suggested estimators and other estimators, we use a mean square error criterion. The problem of weighting between the linear and power models to describe the given extreme data is challenging. For this purpose, we suggest the coefficient variation criterion. A simulation study is conducted, to assess and compare the accuracy of the suggested estimators and other estimators, as well as the suggested statistical criterions. The suggested estimators and other estimators, as well as the suggested criterions are used to analyze a real data sets. All computations in this work
are performed by R-package.

AMS 2010 Subject Classification: :} 62G32, 62G30.
Key Words: :} Power normalization; generalized Pareto distributions; Hill estimators; moment estimator; moment ratio estimator

Remark: This talk is based on the recently submitted paper: Barakat, H. M. & Nigm, E. M. & Khaled, O. M. & Alaswed , A. M. (2015). The estimations under power normalization for the tail index, with comparison.

Ref : 204
Title : Asymptotic behavior of the joint record values, with applications
Author(s) :

Accepted : 1/13/2016 7:51:00 AM
Abstract :
Abstract: In this talk, the joint upper record values and the joint lower record values are discussed. The class of limit distribution functions of the joint upper record values, as well as the joint lower record values, is fully characterized. Sufficient conditions for the weak convergence are obtained. As an application of this result, the sufficient conditions for the weak convergence of the record quasi-range, record quasi-midrange, record extremal quasi-quotient and record extremal quasi-product are obtained. Moreover, the classes of the non-degenerate limit distribution functions of these statistics are derived.

AMS 2010 Subject Classification: Primary 60F05, 62E20; Secondary 62E15.
Key Words: Weak convergence; record values; joint record values, record functions.

Remark: This talk is based on the recently submitted paper: Barakat, H. M. and Abd Elgawad, M. A. (2015). Asymptotic behavior of the joint record values, with applications

Ref : 203
Title : Reviewing Computer Aided Systems for Breast Cancer Diagnosis in Ultrasound images
Author(s) :
 Name : Mohamed Meselhy Eltoukhy Address : Computer Science Department, Faculty of Computers and Informatics, Suez Canal University, Ismailia, Egypt

 Name : Abdelalim K. Farag Address : Computer Science Department, Faculty of Computers and Information, Menoufia University, Shebin El-kom, Egypt

 Name : Noura M. A. Abdelwahed Address : Faculty of Computers and Informatics, Suez Canal University, Ismailia, Egypt

Accepted : 1/13/2016 7:51:00 AM
Abstract :
Abstract— Breast cancer is a common disease among the women worldwide. Computer aided breast cancer diagnosis has been actively researched for last few decades. The main aim of the paper is to identify the method used in CAD for breast cancer detection in ultrasound images. This paper summarizes the methods used in segmentation, feature extraction and classification of breast cancer in ultrasound images. The advantages and disadvantages of different methods are illustrated. This review is helpful for appropriate use of existing methods as well as designing of new methods to improve the accuracy of CAD systems. In addition, some new directions are suggested.

Keywords— Computer aided diagnosis; Ultrasound images; Breast cancer; Image segmentation methods; Image classification techniques;

Ref : 202
Title : Another Modification of Generalized Closed Sets Via Nano Topology
Author(s) :
 Name : S. M. Darwesh Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.

 Name : A. A. Nasef Address : Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafr El-Sheikh University, Kafr El-Sheikh, Egypt.

 Name : A. I. Aggour Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.

 Name : S. M. Darwesh Address : S. M. Darwesh

Accepted : 1/13/2016 7:51:00 AM
Abstract :
This paper continues the study of some classes of generalized closed sets in a nano topological spaces. Our main objective is to establish results about the relationships between the various of nano generalized closed sets.

Ref : 201
Title : Improved Performance Of Text –Independent Speaker Identification Using MFCC, LPC and Gender Detection
Author(s) :
 Name : Nagwa M.AboElenein Address : Eygpt-gharbia- kafer elzayat

 Name : Khalid M.Amin Address : Eygpt-cario

 Name : Mina I. Samaan Address : Eygpt-cario

Accepted : 1/13/2016 7:51:00 AM
Abstract :
Speaker identification identifies the speaker among a set of users by matching against a set of voiceprints. In this paper text independent speaker identification model is developed by combining linear predictive coding (LPC) and Mel Frequency Cepstral Coefficients (MFCC). The objective of this method is to extract additional features to help in the recognition process, and the numbers of speakers are reduced in test by gender detection algorithm. The pertinence of Gaussian Mixture Mode (GMM) is studied as classifier. The proposed method is implemented for corpus database for 18 male speakers and 18 female speakers. The experiment result shows, that the speaker identification rate for LPC+MFCC is 91.6 % and proposed method is 97.2% .

Ref : 200
Title : Existence of almost automorphic solutions for some evolution equations
Author(s) :
 Name : Mohsen Miraoui Address : Institut Préparatoire aux Etudes dIngénieur de Kairouan, Kairouan, Tunisie.

Accepted : 1/13/2016 1:44:00 AM
Abstract :
In this work, we study some results regarding the completness and the invariance of the space consisting in (mu;nu)-pseudo almost automorphic functions and we show the existence and uniqueness of (mu;nu)-pseudo almost automorphic solutions to some nonautonomous differential equations

Ref : 199
Title : Electro-Magneto hydro oscillatory flow of dielectric fluid through a porous medium with heat transfer
Author(s) :
 Name : Kh. S. Mekheimer Address : Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Egypt.

 Name : R.E. Abo-Elkhair Address : Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Egypt.

 Name : A.Z.Zaher Address : Mathematics and Physics Engineering Department, Faculty of Engineering - Shubra- Benha University,Egypt.

Accepted : 1/13/2016 1:44:00 AM
Abstract :
In this paper we study the effect of electro-magnetic field and heat transfer on the oscillatory flow(peristaltic flow) of an incompressible viscous fluid through a porous medium in a symmetric flexible channel.Numerical solution of stream function ,axial velocity,electric field,and temperature obtained by regular perturbation method.The perturbation solution of the system is derived by considering a small wave number.The effect of pertinent parameters is demonstrated and discussed.

Ref : 198
Title : L-Fuzzy nbd topological groups and L-fuzzy uniformities
Author(s) :
 Name : Enas Hassan Samy Elkordy Address : Beni-Suif

Accepted : 1/13/2016 1:44:00 AM
Abstract :
Our main purpose of this paper is to highlight the concept of the topological group and introduce a stratified L-fuzzy neighborhood topological group and some related theorems. We managed to introduce two kinds of L-fuzzy uniformities of L-fuzzy neighborhood topological groups. The first one is of the stratification property and the second L-fuzzy uniformity is of the complete MV-algebra valued L-fuzzy neighborhood topological group. Some interesting results are obtained.

Ref : 196
Title : Tracking of multiple interacting objects based on Gabor-wavelet transform
Author(s) :
 Name : R. M. Farouk Address : Mathematics Department, Faculty of Science Zagazig University, Egypt.

 Name : Atef A. Galal Address : Department of Mathematics, Faculty of Science, Assuit University, Assuit, Egypt

 Name : M. H. Marghny Address : Faculty of Information and Computers, Assiut University, Egypt

Accepted : 1/13/2016 1:45:00 AM
Abstract :
The problem of tracking multiple interacting objects is considering one of the challenges in computer vision. In this paper we have proposed a new technique based on Gabor wavelets blobs tracking and particle filter technique. The proposed algorithm show a promise results of tracking multiple interacting objects in the presence of partial occlusion. The problem of partial occlusion in computer vision field is considering NP-problem. Gabor wavelet transform is interested in analyzing signal at different scales and different orientations. In the tracking process we have determined certain points on each object and then extracted a Gabor blobs around this points. For all objet tracking we have tracked, we have tracked the blobs on each moving object. We have tested our algorithm on a digital video with simple and complex background. In each video we have used our algorithm is able to tracking all interacting objects.

Ref : 195
Title : Modification to the Variation of Tutte Polynomial of n- Cycle Graphs
Author(s) :
 Name : Elrokh, A. Address : Mathematics Department, Faculty of Science, Sheben El-Kom University, Menoufia, Egypt.

Accepted : 1/13/2016 1:45:00 AM
Abstract :
Recently, the authors have investigated and discussed the variation of Tutte polynomial of n - cycle graphs under the action of the time [4]. In this paper ,we discuss the same variation but in higher dimensions to get partial derivatives of these n-cycle graphs with respect to x (edges) and y (loops) using the time consideration.

Ref : 194
Title : Power Lomax Distribution: Model for Bladder Cancer Data
Author(s) :

Accepted : 1/13/2016 1:45:00 AM
Abstract :
A new three-parameter continuous distribution, namely, Power Lomax distribution is proposed and studied for remission times of bladder cancer data. It offers a more flexible model for lifetime data. It can accommodate both inverted bathtub and decreasing hazard rate. Several statistical and reliability properties are derived, including the behavior of the density and hazard rate functions, the moments, the quantile function, and the limiting distributions of order statistics and extreme values. Point estimation via method of moments and maximum likelihood besides the interval estimation are studied. The simulation schemes are carried out to examine the bias and mean square error of the maximum likelihood estimators of the parameters. Finally, a real data application is illustrated the performance and applicability of the new distribution for bladder cancer data and compared with the fit attained known extensions of Lomax distribution.

Ref : 193
Title : On Some Generalizations of Certain Retarded Nonlinear Integral Inequalities and Their Applications in Delay Di erential Equations
Author(s) :
 Name : A. A. El-Deeb Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

 Name : Reda Gamal Ahmed Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

Accepted : 1/11/2016 2:52:00 PM
Abstract :
The main aim of this article is to investigate some new explicit bounds on solutions to a class of new nonlinear retarded integral inequalities of Gronwall type. By some new techniques, we generalize the results presented by Pachpatte in [10] to nonlinear retarded integral inequalities, where the case of non-retarded $t$ is changed into retarded case $\alpha(t)$. We also present an application to illustrate the usefulness of some of our results in estimation of the solution of delay nonlinear differential equations with given initial conditions.

Ref : 192
Title : A two dimensional approach for finding solutions of nonlinear fractional programming problems
Author(s) :
 Name : H.A.Eldidamony Address : Department of Basic Science, Higher Technological Institute, 10th of Ramadan city, Egypt.

 Name : E.A.Youness Address : Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.

 Name : M.A.Maaty Address : Department of Basic Science, Higher Technological Institute, 10th of Ramadan city, Egypt

Accepted : 1/10/2016 5:07:00 PM
Abstract :
The problem of finding the minimum value of the objective function of the fractional programming problems has attracted considerable research and interest in many fields such as production planning, financial and corporate planning, health care and hospital planning, etc. In this paper, a two-dimensional approach for finding solutions of nonlinear fractional optimization problems is introduced. The proposed algorithm shows how to obtain a new point and a new direction in the feasible region, improving the process of solution depending on choosing three initial points from the feasible region without any conditions. The proposed algorithm is based mainly upon parametric method, which is very easy to understand and apply. The convergence of the proposed algorithm is discussed and illustrative examples are presented.

Ref : 191
Title : Toward an Efficient Simulation of Colored Hybrid Petri Nets on the GPU
Author(s) :
 Name : Ismail Abd Elsattar Mohammed Ali Elansary Address : Mathematics and Computer Science Department, Faculty of Science, Port Said University

 Name : Mostafa Mahmoud Ali Herajy Address : Mathematics and Computer Science Department, Faculty of Science, Port Said University

 Name : Alaa Abd El Fattah Soliman Hefnawy Address : Computer and Systems Department, Electronics Research Institute

 Name : Nasser Hassan Sewilam Address : Mathematics and Computer Science Department, Faculty of Science, Cairo University

Accepted : 1/10/2016 5:07:00 PM
Abstract :
The scales of biological models have been rabidly increased. Colored Petri nets are a promising tool to model such biological system, which extend the power of Petri nets by assigning colours to places. Moreover, colored Petri nets permit scaling up the size of a model consisting of many similar component by adding new colours. However, the serial implementation of colored Petri nets is prohibitively slow. Particulary, when biger and more complex models are considered. Therefore, speeding up the simulation of colored models is of a paramount importance. One direction to achieve this goal is to resort to parallel processing.

In this paper, we report our work of progress of using Graphics Processing Unit (GPU) to increase the efficiency of simulating colored models. We focus on a speci c class of colored Petri nets called colored hybrid Petri nets (HPN^C), which integrate all the features of hybrid Petri nets and colored Petri nets into one class. Moreover, HPN^C are ideal for modeling and analyzing complex and multiscale biological systems.

Keywords: colored hybrid Petri nets, GPU, large scale biological systems, parallel simulation, CUDA

Ref : 188
Title : On Real-Time Recognition of Arabic License Plates Using GPU.
Author(s) :
 Name : Walid Hamdy Kamel Tolba Address : Mathematics and Computer Science Department, Faculty of Science, Port Said University

 Name : Mostafa Mahmoud Ali Herajy Address : Mathematics and Computer Science Department, Faculty of Science, Port Said University

 Name : Hatem Mohamed Abd El Kader Moharram Address : Mathematics and Computer Science Department, Faculty of Science, Cairo University.

 Name : Alaa Abd El Fattah Soliman Hefnawy Address : Head of Computer & Systems Department, Electronic Research Institute.

Accepted : 1/10/2016 8:20:00 AM
Abstract :
Automatic License plate recognition plays a key role in accelerating the process of identifying vehicle data. It has many applications in intelligent traffic systems such as parking fee, highway toll fee, traffic data collection
and traffic monitoring systems. However, there is a significant increase in the number of cars worldwide. Thus the process of license plate recognition consumes a substantial amount of time, particularly with the increase number of cars. Implementing LPR on a single core processor with a tremendous number of cars will take more time. However, LPR systems usually requires real-time processing to take advantage of applications to LPR. Therefore we use the graphics processing unit to accelerate license plate recognition performance where a large number of cores collaborate in achieving a real time performance of LPR. Furthermore, we apply LPR on Arabic written plates which result in new challenges to existing recognition systems.
In this paper we report our work in progress of exploring the power of parallel processing to increase the efficiency of license plate recognition (LPR). More specifically, we utilize graphical processing unit (GPU) to increase performance of LPR. We aim to get a real time performance using GPU. Moreover, we use CUDA to implement the proposed framework.

Keywords: License plate recognition (LPR), graphics processing unit(GPU), CUDA, Arabic plate recognition, parallel recognition, intelligent traffic systems.

Ref : 186
Title : A two dimensional approach for finding solutions of nonlinear fractional programming problems
Author(s) :
 Name : H.A.Eldidamony Address : Department of Basic Science, Higher Technological Institute, 10th of Ramadan city, Egypt

 Name : E.A.Youness Address : Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.

Accepted : 1/10/2016 8:20:00 AM
Abstract :
The problem of finding the minimum value of the objective function of the fractional programming problems has attracted considerable research and interest in many fields such as production planning, financial and corporate planning, health care and hospital planning, etc. In this paper, a two-dimensional approach for finding solutions of nonlinear fractional optimization problems is introduced. The proposed algorithm shows how to obtain a new point and a new direction in the feasible region, improving the process of solution depending on choosing three initial points from the feasible region without any conditions. The proposed algorithm is based mainly upon parametric method, which is very easy to understand and apply. The convergence of the proposed algorithm is discussed and illustrative examples are presented.

Ref : 185
Title : An Efficient Likelihood-Based Modulation Classification Algorithm for MIMO Systems
Author(s) :
 Name : Mohammad Rida Bahloul Address : Centre for Intelligent Signal and Imaging Research (CISIR), Department of Electrical and Electronics Engineering, Universiti Teknologi PETRONAS, 32610 Bandar Seri Iskandar, Perak, Malaysia

 Name : Abdel-Haleem Abdel-Aty Address : Physics and Computers Department, Faculty of Science, Al-Azhar University, Assiut, Egypt

Accepted : 1/10/2016 8:20:00 AM
Abstract :
Blind algorithms for multiple-input multiple-output (MIMO) signals interception have recently received considerable attention due to its important applications in modern civil and military communication fields. One key step in the interception process is to blindly recognize the modulation type of the MIMO signals. This can be performed by employing Modulation Classification (MC) algorithm, which can be feature-based or likelihood-based. In this paper, we focus on likelihood-based MC algorithms for MIMO systems rather than feature-based ones since they can provide optimal solutions, when the unknown parameters or their reliable estimates are available at the receiver side. To overcome the problems associated with the existing likelihood-based algorithms, a new algorithm is developed in this paper. The formulation of the MC problem is simplified in this algorithm by treating the individual estimated transmit signals as independent processes, where a weighted sum rule is introduced to combine the likelihood functions of the estimated transmit signals under each hypothesis. The proposed algorithm shows good performance under different operating conditions, over an acceptable range of SNR, without any prior information about the channel state. It also shows a performance close to the upper bound while having a significantly lower computational complexity.

Ref : 184
Title : Soft Metric Spaces
Author(s) :
 Name : Radwa Mohamed Ahmed Address : Mathematics Department, Faculty of Science, Suez Canal University, Ismailia, Egypt

Accepted : 1/10/2016 4:00:00 AM
Abstract :
After the famous article of Moldotsove in 1999 which initiate the theory of soft sets as a mathematical theory to dealing with the uncertainty, many research works in the soft mathematics and its applications in various field are appeared.
In the present paper, soft metric function is introduced using the soft elements of the soft space. By this definition each soft metric in view of Das and Samanta is also a soft metric in our concept but the converse is not true. Also, some soft topological properties are given in detail.
We hope that the findings in this paper will help researcher enhance and promote the further study on fuzzy soft topology to carry out a general framework for their applications in practical life.

Ref : 183
Title : A HYBRID GENETIC ALGORITHM FOR JOB_SHOP SCHEDULING PROBLEMS
Author(s) :
 Name : Sarah Mohammed Nasr Address : Department of Basic Engineering Science, Faculty of Engineering, Shebin El-Kom, Menoufia University, Egypt.

 Name : M.A. El-Shorbagy Address : Department of Basic Engineering Science, Faculty of Engineering, Shebin El-Kom, Menoufia University, Egypt.

 Name : I.M. El_Desoky Address : Department of Basic Engineering Science, Faculty of Engineering, Shebin El-Kom, Menoufia University, Egypt.

 Name : A.A. Mousa Address : Department of Basic Engineering Science, Faculty of Engineering, Shebin El-Kom, Menoufia University, Egypt.

 Name : Z. M. Hendawy Address : Department of Basic Engineering Science, Faculty of Engineering, Shebin El-Kom, Menoufia University, Egypt.

Accepted : 1/10/2016 12:28:00 AM
Abstract :
Abstract — Job Shop Scheduling Problem(JSSP) is an optimization problem in which ideal jobs are assigned to resources at particular times. In recent years many attempts have been made at the solution of this problem using a various range of tools and techniques. This paper presents a hybrid genetic algorithm(GA) for JSSP. The hybrid algorithm is a combination between genetic algorithm and local search. Firstly, A generation alternation model using GA is designed. A new initialization method is proposed. Advanced crossover and mutation operators are used. Then local search based on the neighborhood structure is applied in the GA result. The approach is tested on a set of standard instances taken from the literature. The computation results have validated the effectiveness of the proposed algorithm.

Keywords: Genetic algorithm, Job shop scheduling problem, Local search

Ref : 182
Title : Centralized Topological Map Extraction Technique for Low Density Wireless Sensor Network
Author(s) :
 Name : Walaa Ali Address : Menofia university

 Name : Osama Shebl Address : Menofiea University

 Name : Hatem Elsayed Address : Menofia university

Accepted : 1/10/2016 12:28:00 AM
Abstract :
Wireless sensor networks consist of varying number of randomly deployed tiny sensors. One of its main applications is monitoring environmental phenomena’s in remote and rugged places. In such applications, sensors are distributed with helicopter passing over the area of study. This way of distribution cause different density sub-regions and unknown topology structure. Information is needed to be shared between sensors to enable them to detect and extract topological features about their random distribution. In this paper, we propose a technique which depends on performing a simple spatial analysis on the nodes’ position. This technique enables the base station to construct a topological map using collected spatial information from sensors. To the best of our knowledge, this is the first study for this problem which concern low density networks.

Ref : 181
Title : Prediction of Missing Values of any Numerical Information System Tables by Using Rough Sets
Author(s) :
 Name : Elsayed Sallam Address : Computer and Automatic Control Department, Faculty of Engineering, Tanta University, Tanta, Egypt.

 Name : T. Medhat Address : Computer and Automatic Control Department, Faculty of Engineering, Kafrelsheikh University, 33516, Kafrelsheikh, Egypt.

 Name : A.Ghanem Address : Kafrelsheikh University portal manger, Kafrelsheikh University, 33516, Kafrelsheikh, Egypt

Accepted : 1/10/2016 12:29:00 AM
Abstract :
This paper proposes a model for predicting missing values of any attributes for numerical information system tables. The model depends on three methods: KNN (K nearest neighbors) Imputation, rough set and most common value. This model presents two methods and one improvement to them. This model will be discussed in detail with an example of a case study. Web application was developed to apply this proposed model by c#, asp.net and SQL server.

Ref : 180
Title : فاعلية التعلم المقلوب في تعل م وتعليم الرياضيات
Author(s) :
 Name : مريم زيد زيدان العمري Address : إدارة التعليم بمحافظة ينبع

Accepted : 1/9/2016 11:17:00 AM
Abstract :
It was observed that self-learning through the computer contributes to instill in students a variety of educational positions, through Giving skills and experience useful, as was noted academic achievement influenced to some students because of the large number of their absence, and the lack of communication mothers of the students; which necessitated the search for a
strategy to involve parents in the stand on level grades for the students; the goal of the use of education technology and techniques. And help students to mastery of new data. It also lies the importance of the experience to stand on the use of information and communication of modern technology, learning inverted and is defined as: "an educational model aims to use modern technologies and the Internet, in a manner allows the teacher to prepare the lesson through the media; to the attention of their students at home or anywhere else, using the computer, or smartphones, or tablets, as and locate Education, was selected video links. and measured the effectiveness of the inverted learning, through the design of a questionnaire to explore the views of parents, and highlighted the results of the experiment the evolution of the role of Almlqna parameter, to become oriented, and stimulating, and a guide, and help. The base configuration of the feedback for students in fourth-grade math. It is the key recommendations to provide dedicated time, reserve quotas;
to train students and develop their performance. work training workshops; to exchange experiences among students.

Ref : 179
Title : Soft Metric Spaces
Author(s) :
 Name : Osama Abd El-Hamid Tantawy Address : Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Accepted : 1/9/2016 11:08:00 AM
Abstract :
After the famous article of Moldotsove in 1999 which initiate the theory of soft sets as a mathematical theory to dealing with the uncertainty, many research works in the soft mathematics and its applications in various field are appeared. In the present paper, soft metric function is introduced using the soft elements of the soft space. By this definition each soft metric in view of Das and Samanta is also a soft metric in our concept but the converse is not true. Also, some soft topological properties are given in detail. We hope that the findings in this paper will help researcher enhance and promote the further study on fuzzy soft topology to carry out a general framework for their applications in practical life.

Ref : 178
Title : Managing uncertainty in an automotive industry supply chain model
Author(s) :
 Name : Duaa Gomaa Address : Shibin El-Kom, Menoufia, Egypt

 Name : Osama Abdel-Raouf Address : Shibin El-Kom, Menoufia, Egypt

Accepted : 1/9/2016 11:08:00 AM
Abstract :
Supply chain (SC) is one of these real-life problems with uncertain decision making variables. SC linear programming model tries to minimize the total transportation costs between elements of Supply chain management (SCM). SC works in an uncertain environment like customer demand, supply deliveries and market supply. The fuzzy sets, rough sets and rough-fuzzy sets are adequate for solving SC problem. This paper aims to use these sets in respect of their suitability for representing uncertain information. Finally, comparison between fuzzy set and rough set optimization results under uncertainty is presented. Rough set are used to give a better optimization basing on better accurate mathematical models. This set proved to be a convenient for decision maker for giving a wide optimized performance range.

Ref : 177
Title : On the existence of new solutions for the rotational motion of a rigid body under the action of a Newtonian force field
Author(s) :
 Name : Tarek Saleh Amer Address : Mathematics Department, Faculty of Science, Tanta University, Tanta 31527, Egypt.

 Name : Ibrahim Mohamed Abady Address : Mathematics Department, Faculty of Science, Tanta University, Tanta 31527, Egypt.

Accepted : 1/9/2016 8:37:00 AM
Abstract :
In this work, new solutions of the Euler’s dynamic equations for the rotational motion of a rigid body about a fixed point under the action of a Newtonian force field are studied. Some restrictions on the center of mass of the rigid body and on the values of the principle moments of inertia are assumed according to the investigated cases. The obtained solutions are represented graphically to describe the motion at any time and are considered as a modification of both Eulers and Lagranges cases. Moreover, the components of the angular velocity vector for these solutions are differing from the most famous cases. The obtained results can be exploited in industrial applications of the rigid body dynamics like robotics and computer games.

Ref : 176
Title : Prime Numbers and Application in Security Systems
Author(s) :

 Name : Mohammed Ashraf Abd El-Kareem Address : Egypt- Giza - El-Sheikh Zayed- 13th district

 Name : Osama Habshy Elsayed Address : 303/13 Suez canal st., Mohatram Pasha, Moharam Baik, Alexandria

 Name : Maryam Sobhy Hebeishy Address : Cairo- Hadayek El Koba - Al Sakia st., 1-Ibrahim El Shimy

Accepted : 1/8/2016 1:17:00 PM
Abstract :
-Some Properties of prime numbers: Being infinite(proved), decreasing in density as the number range increases,and-seemingly contradicting- Mills constants, and Mersenne primes
-Fermats primality test (Fermats little theorem)
- RSA Security System (the security system used on almost all online encryption systems) and its use of prime numbers,Fermats little theorem, and Eulers Phi function.

Ref : 175
Title : The growth of vapour bubble between two-phase flow for non viscous and viscous fluids
Author(s) :
 Name : M. H. Omran Address : Math. Department, Al-Arish Faculty of Science , Suez Canal University, Al-Arish, Egypt

Accepted : 1/8/2016 1:18:00 PM
Abstract :
In this paper , we studied the growth of vapour bubbles between two-phase flow. The growth problem is discussed for viscous and non viscous fluids. The mathematical model is performed by mass, momentum and heat equations and solved analytically by using a new assumption to derive the growth of a vapour bubble between two-phase viscous and non viscous fluid flow in terms of time and some another physical parameters. The growth of vapour bubble in a viscous fluids flow performs lower values than that in case of non viscous fluid flow. Moreover, the growth of vapour bubble between two-phase flow for viscous and non viscous fluid flow is affected by superheated, thermal diffusivity and initial growth. Results are compared with Mohammadein and Plesset models in case of bubble growth,
.

Ref : 174
Title : Soft Metric Spaces
Author(s) :
 Name : Osama Abd El-Hamid Tantawy Address : Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Accepted : 1/8/2016 1:18:00 PM
Abstract :
After the famous article of Moldotsove in 1999 which initiate the theory of soft sets as a mathematical theory to dealing with the uncertainty, many research works in the soft mathematics and its applications in various field are appeared.
In the present paper, soft metric function is introduced using the soft elements of the soft space.
By this definition each soft metric in view of Das and Samanta is also a soft metric in our concept but the converse is not true. Also, some soft topological properties are given in detail.
We hope that the findings in this paper will help researcher enhance and promote the further study on fuzzy soft topology to carry out a general framework for their applications in practical life.

Ref : 172
Title : Summation of all natural numbers gives a value of -1/12
Author(s) :

Accepted : 1/8/2016 8:18:00 AM
Abstract :
Its known that the natural numbers series (1+2+3+4..) is a divergent series, however, many summation methods are used to give a numerical value for the series which is -1/12. Its really exotic that all methods yield the same value for a divergent series. Im going to show how this works using summation methods for series and Riemann-zeta function, and the applications based on it.

Ref : 171
Title : Solving Multi-objective Unit commitment Problem using a Genetic Algorithm based clustering technique
Author(s) :
 Name : Mai A. Farag Address : Department of Basic Engineering Science, Faculty of Engineering, Menoufiya University, Egypt.

 Name : M.A. El-Shorbagy Address : Department of Basic Engineering Science, Faculty of Engineering, Menoufiya University, Egypt.

 Name : I.M. El_Desoky Address : Department of Basic Engineering Science, Faculty of Engineering, Menoufiya University, Egypt.&3Department of Mathematics, Faculty of Sciences, Taif University, Saudi Arabia

 Name : A.A. Mousa Address : Department of Basic Engineering Science, Faculty of Engineering, Menoufiya University, Egypt,

 Name : A.A. El-Sawy Address : 1Department of Basic Engineering Science, Faculty of Engineering, Menoufiya University, Egypt. Department of Mathematics, Faculty of Science, Qassim University, Saudi Arabia

Accepted : 1/6/2016 12:43:00 PM
Abstract :
This paper presents an intelligent computing based approach for solving multi-objective unit commitment problem (MOUCP) using binary-real-coded genetic algorithm (GA) based on K-means clustering technique to find the solution of the optimal schedule of the generation units. A binary-real-coded GA is used here in order to tackle both the unit scheduling and load dispatch problems. The binary part of the GA deals with the scheduling of units and the real part determines the amounts of power to be generated by committed units. K-means clustering algorithm is used to divide population into a specific number of subpopulation. In this way, different GA operators can apply to sub-populations instead of one GA operator applied to all population. The proposed algorithm has been tested on standard systems of MOUCPs. The results have been demonstrated the superiority of the proposed approach to solve MOUCPs. Furthermore, this paper presents a fuzzy model for the MOUCP. The model takes the uncertainties in fuel cost coefficients in a fuzzy frame. With this model, the proposed algorithm gives a set of non-dominated solutions using different α cut level.

Ref : 170
Title : DNA-based watermarking technique for protecting the copyrights
Author(s) :
 Name : Basmaa Ahmed AbdElHafez Address : Faculty of Science, South Valley University,Egypt

 Name : S. Z.Rida Address : Faculty of Science, South Valley University

 Name : Marghny H. Mohamed Address : Faculty of Computers and Information, Assiut University

Accepted : 1/5/2016 3:52:00 PM
Abstract :
The Development of the Internet along with the increasing availability of multimedia applications has Generated a number of copyright issues. One of the topic that Development has fueled is digital watermarking.Digital watermarking is the act of hiding a message related to a digital signal (i.e. an image, song, video, DNA) within the signal itself.DNA watermarking is a technique for copyright protection and ownership authentication of DNA sequences and ensures the security of private genetic information. In This paper, we proposes a coding DNA watermarking technique based on the Discrete WaveletTransform (DWT) domain that relies on frequency domain for DNA sequences. The technique divides a coding DNA sequence into number of subsequences and assign all codons in subsequences to a numerical code. Then, calculate DWT coefficients that are optimal for embedding watermark bits. Finally, we apply the data hiding equation and process IDWT with amino acid conservation.

Ref : 169
Title : Fast inversion of electromagnetic logging-while-drilling measurements acquired in multiple wells
Author(s) :
 Name : Shaaban Ali Bakr Address : Basque Center for Applied Mathematics (BCAM), Bilbao, Spain, and Department of Mathematics, Assiut University, Assiut 71516, Egypt.

 Name : David Pardo Address : Department of Applied Mathematics, Statistics, and Operational Research, University of the Basque Country (UPV/EHU), Leioa, Spain, Basque Center for Applied Mathematics (BCAM), and IKERBASQUE (Basque Foundation for Sciences), Bilbao, Spain.

Accepted : 1/5/2016 8:59:00 AM
Abstract :
This paper describes a method for the fast
inversion of borehole resistivity measurements acquired in multiple wells.
There are two key novel contributions on this work. First, we extend the set of formation models from previously existing two-dimensions (2D) ones to three-dimensional (3D) transversely isotropic (TI) formations that are approximated by a sequence of several stitched" one-dimensional (1D) sections. This provides added flexibility in order to approximate complex 3D formations. Second, the developed inversion method enables to simultaneously invert measurements acquired at different wells and/or with different logging instruments.

Numerical experiments performed over realistic 3D synthetic formations illustrate the flexibility and superb inversion results obtained with the library, which enables to interpret resistivity measurements acquired at various wells (e.g., an exploratory, an offset, and a geosteering well) and with any combination of co-axial and/or tri-axial commercial logging instruments with known antennae configurations.

Ref : 168
Title : The Weibull Exponential Distribution: Properties and Applications
Author(s) :
 Name : Ahmed M. T. Abd El-Bar Address : Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt

 Name : I. E. Ragaba Address : Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt

Accepted : 1/4/2016 9:56:00 AM
Abstract :
In this paper we introduce a three-parameter distribution called Weibull exponential (WE) distribution which
offers a more flexible model for lifetime data. We show that the hazard rate of the new distribution can be
increasing or decreasing. The hazard rate can also be bathtub shaped. A comprehensive mathematical treatment
of the WE distribution is provided. We give closed-form expressions for the density, hazard rate, moments,
quantile function, mean residual life function, mean deviations, Bonferroni and Lorenz curves. We also derive
the density of ith order statistic. Moreover, we discuss estimation by the maximum likelihood and obtain an
expression for the observed information matrix. Furthermore, simulation results on maximum likelihood
estimation are presented. A two real data applications illustrates the performance of the distribution.

Ref : 166
Title : Study of nonlinear vibration of an electrostatically actuated microbeam by using global residue harmonic balance method
Author(s) :
 Name : G. M. Ismail Address : Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt.

Accepted : 1/4/2016 1:53:00 AM
Abstract :
A suggested class of certain technique that called global residue harmonic balance method to obtain analytical approximate solutions for the large-amplitude vibration of electrostatically actuated microbeams is used in the present work. To illustrate the applicability and accuracy of the method, the approximate solution results are compared with the numerical solutions and existing results. The obtained results ensure that this method is an easy one to solve many sophisticated nonlinear problems.

Ref : 165
Title : Bayesian estimation using MCMC approach on progressive first - failure censoring from inverse Weibull distribution
Author(s) :
 Name : Azhari Abd Alla Alhag Address : Mathematics department, Faculty of Science, Taif university, Saudi Arabia

 Name : Hamda Saed Mohmel Alharthi Address : Mathematics department, Faculty of Science, Taif university, Saudi Arabia

 Name : Hamda Saed Mohmel Alharthi Address : Mathematics department, Faculty of Science, Taif university, Saudi Arabia

Accepted : 1/3/2016 8:43:00 AM
Abstract :
In this paper, we derive the maximum likelihood and Bayes estimation of the parameters of the inverse Weibull distribution (IWD) based on progressive first failure censored scheme. The Bayes estimator does not exist in an explicit form, so Markov chain Monte Carlo (MCMC) method is used generate from the posterior distribution . The approximate confidence intervals as well as credible intervals for the parameters are presented. Numerical example will be used to illustrate our purposes. Results from simulation studies will be used to assessing the performance of different method.

Ref : 164
Title : Bayesian estimation using MCMC approach on progressive first - failure censoring from inverse Weibull distribution
Author(s) :
 Name : Azhari Abd Alla Alhag Address : Mathematics department, Faculty of Science, Taif university, Saudi Arabia

 Name : Hamda Saed Mohmel Alharthi Address : Mathematics department, Faculty of Science, Taif university, Saudi Arabia

Accepted : 1/3/2016 8:43:00 AM
Abstract :
In this paper, we derive the maximum likelihood and Bayes estimation of the parameters of the inverse Weibull distribution (IWD) based on progressive first failure censored scheme. The Bayes estimator does not exist in an explicit form, so Markov chain Monte Carlo (MCMC) method is used generate from the posterior distribution . The approximate confidence intervals as well as credible intervals for the parameters are presented. Numerical example will be used to illustrate our purposes. Results from simulation studies will be used to assessing the performance of different method.

Ref : 163
Title : Nonclassical properties and geometric phase of Raman photon pairs in the presence of atomic motion effect
Author(s) :
 Name : Sadah. A. Alkhateeb Address : Mathematics department, Faculty of Science, King Abdulaziz university, Jeddah, Saudi Arabia

 Name : S. Abdel-Khalek Address : Mathematics department, Faculty of Science, Taif university, Saudi Arabia

 Name : Eman M. A. Hilal Address : Mathematics department, Faculty of Science, King Abdulaziz university, Saudi Arabia

Accepted : 1/3/2016 2:58:00 AM
Abstract :
In this paper, we will theoretically investigate the efficient of correlated-photon generation by irradiating a four-level driven in a double-Raman configuration with pomp and drive laser, which emits a pair of Stokes and anti-Stokes photon. We will present more practical situations for the generation of the pair of Stokes and anti-Stokes photons considering the case of time-dependent coupling with the effect of the atomic speed. On the other hand, we will investigate the geometric phase of the pair of photons in terms of the physical parameters. Finally, we will investigate some other important physical properties of the atom and pair of generated photons considering the purity and nonclassicaliry.

Ref : 162
Title : Lie point symmetries for a magneto couple stress fluid in a porous channel with expanding or contracting walls and slip boundary condition
Author(s) :
 Name : Rabea El Shennawy Abo elkhair Address : Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11448, Cairo, Egypt.

Accepted : 1/3/2016 1:20:00 AM
Abstract :
In this paper, an incompressible couple stress fluid flow with magnetic field in a porous
channel with expanding or contracting walls and slip boundary condition is considered. Lie
group analysis and group invariant solutions are obtained, the governing equations are reduced to nonlinear ordinary differential equations. The resulting equations are solved analytically, also this equations are solved by using Adomian method. The graphs for the axial and the normal velocity components and the pressure distribution for different values of the physical and geometric parameters are plotted and discussed. Finally, the comparison between the analytic and adomain methods is discussed.

Ref : 161
Title : Quantum Entanglement
Author(s) :
 Name : Omar Muhammed El-Sayed Address : Zewail City of Science and Technology, Egypt

Accepted : 1/3/2016 1:21:00 AM
Abstract :

Undoubtedly, Quantum Mechanics is the most shocking physical theory to humans classical logic. This is because of the bizarre phenomena scientists observe in the quantum scale. One of the most shocking of these phenomena is what is called "Quantum Entanglement", which is a correlation that takes place between two particles that requires communication faster than the speed of light; what was so-called by Albert Einstein: "Spooky Action at a Distance". In this paper, I am going to introduce the basic concepts of Quantum Mechanics, and then proceed to discuss quantum entanglement and the debate about it, starting from Einstein and Bohr. I will also be discussing the EPR Paradox and Bells Inequality. I shall mention at the end a very recent experiment about Quantum Entanglement that supports the phenomenon to a great extent.

Ref : 160
Title : Fractal Geometry explains the Universe
Author(s) :

 Name : Weam Moghazy Address : Zewail City

 Name : Aya El Zahy Address : Zewail City

Accepted : 1/2/2016 3:18:00 PM
Abstract :
A novel approach to cosmology is presented that mathematically models the Universe as an iterated function system (IFS) analogous to the famous Mandelbrot Set IFS (M): z=z2+c, where z and c are complex numbers. In theoretical physics, wavefunctions are functions of a complex space that are commonly used to model the dynamics of particles and waves. In the IFS framework presented herein, complex dynamical systems are generated via the iteration process, where the act of iteration corresponds to 1) a change in the state of the system and 2) a change to the wavefunction itself. In this manner, M can be considered a wavefunction generator. In this framework, all observables, including gravity and time, are thought to be generated by the iteration process. Feynman understood that there are many ways of looking at the Universe that are equivalent in nature but different psychologically. Understanding cosmology in terms of fractals and iterated function systems requires a paradigm shift in the way we approach cosmology. This is an evidence based dissertation and does not contradict the standard model; rather, it attempts to reconstruct it using the principles of the fractal paradigm as outlined in this essay. It is the contention of the author that in order to understand the true nature of light, the universe and everything, we must first understand the important role that fractal cosmology plays in the study of our complex dynamical universe.

Ref : 159
Title : Fixed point theorems in multiplicative dislocated quasi-metric spaces
Author(s) :
 Name : A.M. Zidan Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut

 Name : A.M. Zidan Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut

 Name : M.A. Ahmed Address : Department of Mathematics, Faculty of Science, Assiut University,

Accepted : 1/2/2016 1:03:00 AM
Abstract :
In this work, we introduce a new concept of generalized multiplicative metric spaces and dislocated quasi-metric spaces called multiplicative Md-quasi metric space. The main result of our paper is prove fixed point theorem in a complete multiplicative Md-metric space. An illustrative example is given to support our results.

Ref : 158
Title : Method of singular mass matrix and singular perturbation problem
Author(s) :
 Name : Berkane Ali Address : Baji Mokhtar University, Annaba, Algeria

Accepted : 1/1/2016 9:49:00 AM
Abstract :
Abstract: In this work we study the approximation of hyperbolic operators of the first order or parabolic degenerate time. This method using the singular mass technique proposed to obtain optimal estimates of errors for classes of Lagrange finite elements.

Ref : 157
Title : Determination of heights
Author(s) :

Accepted : 1/1/2016 8:35:00 AM
Abstract :
In this talk I am going to discuss four different ways to determine the height. We will discuss some applications and show how sensitive reaction can be obtained using our models.

Ref : 156
Title : Extended one-step methods for solving delay differential equations
Author(s) :
 Name : OYETNUDE RAPHAEL ANUOLUWAPO Address : P.M.B. 704 Akure, Ondo State

 Name : OLAOKE AYOBAMI AKANNI Address : P.M.B. 704 Akure, Ondo State

 Name : LASISI MOSHOOD AYIKI Address : P.M.B. 704 Akure, Ondo State

Accepted : 1/1/2016 8:36:00 AM
Abstract :
We provide a reliable and stable computational technique, based on a class of extended one-step methods for solving delay differential equations with constant and variable delays. Numerical stability properties of the schemes are investigated. The schemes are suitable for stiff and non-stiff problems. Numerical results and simulations are presented to demonstrate the effectiveness of the methodology.

Ref : 154
Title : Exact soltuions of the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama equation by using the extended exp (-Ф(ξ)) expansion method
Author(s) :
 Name : Emad H. M. Zahran Address : Department of mathematical and physical engineering, college of engineering Shubra, university of Benha, Egypt

Accepted : 1/1/2016 8:36:00 AM
Abstract :
In this research, we employ the extended exp(- Ф(ξ)) expansion method to obtain the exact and solitary wave solutions of the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation. We obtain the wide range of exact and solitary wave solutions of distinct physical structure.

Ref : 153
Title : A New Lifetime Distribution for a Series-Parallel System: Properties, Applications and Estimations Under Progressive Type-II Censoring
Author(s) :
 Name : Alaa Hashem Abdel-Hamid Address : Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University

 Name : Atef. F. Hashem Address : Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University

Accepted : 12/31/2015 9:09:00 AM
Abstract :
A compound class of zero truncated Poisson and lifetime distributions is introduced. A specialization is paved to a new three-parameter distribution, called doubly Poisson-exponential distribution, which may represent the lifetime of units connected in a series-parallel system. The new distribution can be obtained by compounding two zero truncated Poisson distributions and an exponential distribution. Among its motivations is that the hazard rate function has decreasing, increasing and upside-down bathtub shapes. Several properties of the new distribution are discussed. Based on progressive type-II censoring, six estimation methods [maximum likelihood, moments, least squares, weighted least squares and Bayes (using linear-exponential and general entropy loss functions) estimations] are used to estimate the involved parameters and compare their performance through a simulation study. The Bayes estimates are obtained using Markov chain Monte Carlo algorithm. In addition, the confidence intervals, symmetric credible intervals and highest posterior density credible intervals of the parameters are obtained. Finally, an application to a real data set is used to compare the new distribution with other five distributions.

Ref : 151
Title : Reliable and stable computational technique
Author(s) :
 Name : OYETNUDE RAPHAEL ANUOLUWAPO Address : P.M.B. 704 Akure, Ondo State

 Name : OLAOKE AYOBAMI AKANNI Address : P.M.B. 704 Akure, Ondo State

 Name : LASISI MOSHOOD AYIKI Address : P.M.B. 704 Akure, Ondo State

Accepted : 12/31/2015 9:10:00 AM
Abstract :
We provide a reliable and stable computational technique, based on a class of extended one-step methods for solving delay differential equations with constant and variable delays. Numerical stability properties of the schemes are investigated. The schemes are suitable for stiff and non-stiff problems. Numerical results and simulations are presented to demonstrate the effectiveness of the methodology.

Ref : 150
Title : DNA-based watermarking technique for protecting the copyrights
Author(s) :
 Name : Basmaa Ahmed AbdElHafez Address : Faculty of Science, South Valley University, Egypt

 Name : Saad Zagloul Rida Address : Faculty of Science, South Valley University

Accepted : 12/31/2015 3:13:00 AM
Abstract :
The Development of the Internet along with the increasing availability of multimedia applications has Generated a number of copyright issues. One of the topic that Development has fueled is digital watermarking.Digital watermarking is the act of hiding a message related to a digital signal (i.e. an image, song, video, DNA) within the signal itself. It is a concept closely related to steganography as both of them hide a message inside a digital signal.DNA watermarking is a technique for copyright protection and ownership authentication of DNA sequences and guarantees the security of private genetic information. In This paper, we proposes a coding DNA watermarking technique based on the Discrete WaveletTransform (DWT) domain that rely on frequency domain for DNA sequences. The technique divides a coding DNA sequence into number of subsequences and assign all codons in subsequences to a numerical code. Then, calculate DWT coefficients that are optimal for embedding watermark bits.Then, we apply the data hiding equation. After that processing IDWT with amino acid conservation.

Ref : 149
Title : Fixed point theorems in multiplicative dislocated quasi-metric spaces
Author(s) :
 Name : A.M. Zidan Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut .

Accepted : 12/31/2015 3:13:00 AM
Abstract :
In this work, we introduce a new concept of generalized multiplicative metric spaces and dislocated quasi-metric spaces called multiplicative Md-quasi metric space. The main result of our paper is prove fixed point theorem in a complete multiplicative Md-metric space. An illustrative example is given to support our results.

Ref : 148
Title : Optimal design for step-stress partially accelerated life tests under progressive type-I interval censored data from generalized Pareto distribution
Author(s) :
 Name : Rashad Mohamed EL-Sagheer Address : Mathematics Department, Faculty of Science, Al-Azhar University, Naser city 11884, Cairo, Egypt.

Accepted : 12/30/2015 2:29:00 PM
Abstract :
This article discusses k-stage step-stress partially accelerated life tests under type-I progressive interval censoring with equal inspection intervals of length. The maximum likelihood and parametric bootstrap methods are used to obtain the estimators of the model parameters. Approximate confidence intervals for the unknown parameters are constructed based on the asymptotic variances when the lifetime of a testing unit are assumed to be generalized Pareto distribution. The methods for obtaining the optimal are investigated using the variance-optimality and determinant-optimality criteria. Monte Carlo simulation studies are discussed to illustrate the proposed criteria.

Ref : 147
Title : Geometric phase and entanglement of three-level atom with and without rotating wave approximation
Author(s) :
 Name : Y.S.El-Saman Address : Department of Mathematics, Faculty of Science, Jazan University, Saudi Arabia

 Name : M. Abdel-Aty Address : Zewail City of Science and Technology, University of Science and Technology, 6th October, Giza, Egypt

 Name : S.Abdel-Khalek Address : Department of Mathematics, Faculty of Science, Sohag University, Egypt

 Name : I. Mechai Address : Department of Mathematics, Faculty of Science, Jazan University, Saudi Arabia

Accepted : 12/30/2015 4:34:00 AM
Abstract :
In this work, we study the interaction between three level atom and optical field initially prepared in squeezed coherent state. The dynamical properties of the geometric phase and non-local correlation will be compared in the absence and presence of the rotating wave approximation. The effect of the squeeze parameter on the evolution of the geometric phase and entanglement measured by the von Neumann entropy will be examined. Finally we explore the relationship between the geometric phase and entanglement during the time evolution.

Ref : 146
Title : Geometric phase and entanglement of three-level atom with and without rotating wave approximation
Author(s) :
 Name : Y.S.El-Saman Address : Department of Mathematics, Faculty of Science, Jazan University, Saudi Arabia

 Name : I. Mechai Address : Department of Mathematics, Faculty of Science, Jazan University, Saudi Arabia

Accepted : 12/30/2015 4:34:00 AM
Abstract :
In this work, we study the interaction between three level atom and optical field initially prepared in squeezed coherent state. The dynamical properties of the geometric phase and non-local correlation will be compared in the absence and presence of the rotating wave approximation. The effect of the squeeze parameter on the evolution of the geometric phase and entanglement measured by the von Neumann entropy will be examined. Finally we explore the relationship between the geometric phase and entanglement during the time evolution.

Ref : 145
Title : Instability criteria of a viscous liquid film
Author(s) :
 Name : RamySalah Saber Selim Address : Tanta

Accepted : 12/28/2015 2:43:00 PM
Abstract :
In this work, we have investigated the instability criteria of a viscous liquid film flowing down an inclined slippery wall with a weak periodic corrugations. The mathematical model of the current problem is communicated with the linear as well as the nonlinear cases, in the frame of the long-wave theory. The fluid flow, due to the gravity, is assumed to be steady, and con fined to the limit of a small amplitude of the wall corrugation. The analysis has dealt with all the possible cases of resonance can be arised in the linear and nonlinear problems, corresponding to small wall corrugations. The eff ects of various parameters on the flow properties are examined through some numerical applications.

Ref : 144
Title : Bayesian estimation using MCMC approach on progressive first-failure censoring from inverse Weibull distribution
Author(s) :
 Name : Hamda Saed Mohmel Alharthi Address : Mathematics Department, Faculty of Science, Taif University, Saudi Arabia

Accepted : 12/28/2015 2:42:00 PM
Abstract :
In this paper, we derive the maximum likelihood and Bayes estimation of the parameters of the inverse Weibull distribution (IWD) based on progressive first failure censored scheme. The Bayes estimator does not exist in an explicit form, so Markov Chain Monte Carlo (MCMC) method is used generate from the posterior distribution. The approximate confidence intervals as well as credible intervals for the parameters are presented. Numerical example will be used to illustrate this purposes. Results from the simulation studies will be used to assessing the performance of different method.

Ref : 142
Title : Statistical and bioinformatics analysis of 5′-regulatory region of TM4SF1 locus involved in cancer and drug resistance
Author(s) :
 Name : Abdel-Salam Gomaa Address : Department of Mathematics, Statistics and Physics, CAS, Qatar University

Accepted : 12/27/2015 6:34:00 AM
Abstract :
Biostatistics and bioinformatics analyses are becoming integral to gene expression research. TM4SF1 gene expresses variably in various normal tissues and associated with carcinomas and drug resistant. Statistical analysis of TM4SF1 mRNA and protein measurements in various human tissues and tumors showed significant variation that could be linked to unique patterns of regulatory elements in the TM4SF1 alternative promoters. We identified six alternative promoters involved in expression of this gene, five located at the TM4SF1 5′-side, two overlapping promoters hosted CpG island (CGI), the other three alternative promoters also showed overlapping sequences and form a bidirectional promoter sequence involved in expression of TM4SF1 and divergently paired lncRNA locus TM4SF1-AS1. One promoter rich in TATA motifs was identified at the 3′-end of TM4SF1 locus. Structural differences in regulatory sequences dignified by dinucleotide base stacking energy showed specific values correlated with the location of the transcription binding sites (TFBSs). Further, several stem-loops were identified in the secondary structure of TM4SF1 and lnc-RNA TM4SF1-AS1 transcripts sequences that suggest possible posttranscriptional role of lnc-RNA in regulation of TM4SF1. Our findings give further insight into the roles played by TM4SF1 regulatory sequences in oncogenesis and drug resistance.

Ref : 141
Title : γ-Closed Spaces and Γ-Continuous Functions
Author(s) :
 Name : Arafa A. Nasef Address : Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafr El-Sheikh University, Kafr El-Sheikh, Egypt.

 Name : M. M. El-Sharkasy Address : Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.

Accepted : 12/25/2015 12:38:00 AM
Abstract :
This paper introduces and studies a new class of functions between topological spaces, namely Γ-continuous functions, which properly contains the class of s-continuous functions introduced by the first author et al.[2]. Several results of [2] are improved and generalized.

Ref : 140
Title : a study of moon escaping phenomenon
Author(s) :
 Name : Esraa Hussain Hashem Address : Aswan university faculty of Commerce

Accepted : 12/24/2015 10:03:00 AM
Abstract :
At this paper we discuss the moon escaping phenomena through the relationship between the distance between the earth and the moon and the earths inclination axis after these calculations we reached the moon period with the earth .

Ref : 139
Title : Advanced Topics in Statistical Analysis using SPSS
Author(s) :
 Name : Abdel-Salam Gomaa Address : Department of Mathematics and Statistics, CAS, Qatar University

Accepted : 12/22/2015 5:29:00 AM
Abstract :
This workshop is designed to provide advanced and common statistical techniques in various disciplines which are very important for researches and practitioners using the SPSS. The workshop is designed especially to demonstrate some techniques and applications of biostatistics in medical, biology, business, Mass Communication, Engineering, public health, Epidemiology, pharmaceutical and biomedical fields.

For Whom: PhD scholars, faculty, employees and empirical researchers

The following topics will be dealt with in the workshop:
1. Introduction to the Inferential Statistics and SPSS.
2. Perform Hypothesis Testing and Confidence interval analysis for one and two populations.
3. One and Two-way Factorial ANOVA with SPSS.
4. Post Hoc Multiple Comparisons
5. Conducted a Pearson correlation and created a scatter plot for the results.
6. Perform Linear Regression Analysis (Simple and Multiple) and Logistic Regression.
7. Data Reduction Techniques (Factor Analysis, PCA,….etc.)
8. How to interpret the SPSS outputs and get the results into the report.

Ref : 138
Title : Dynamic Littlewood-Type Inequalities on Time Scales
Author(s) :
 Name : Samir H. Saker Address : Department of Mathematics, Mansoura University

Accepted : 12/20/2015 2:19:00 AM
Abstract :

This talk is concerned with some dynamic inequalities on time scales. As special cases, these results contain and improve some integral inequalities and some discrete inequalities formulated by Littlewood in connection with some work on the general theory of orthogonal series. Also we show that the so-called "sneak-out principle" for discrete inequalities is valid also on a general time scale. In particular, we prove some new dynamic inequalities on time scales which as special cases contain discrete inequalities obtained by Bennett and Grosse-Erdmann. The main results also are used to formulate the corresponding continuous integral inequalities, and these are essentially new. The techniques employed in this paper are elementary and rely mainly on the time scales integration by parts rule, the time scales chain rule, the time scales Hölder inequality, and the time scales Minkowski inequality.

AMSSC: 26D10, 26D15, 34A40, 34N05, 39A12, 39A13

Keywords: Littlewoods inequality, time scales, dynamic inequality

Ref : 137
Title : Estimation in step-stress partially accelerated life tests for the Chen distribution using Progressive Type-II Censoring
Author(s) :
 Name : Soliman, A. A. Address : Faculty of Science, Islamic University, Madinah, KSA

 Name : Abd-Elmougod G. A Address : Faculty of Science, Taif University, Taif, KSA.

 Name : Al- Sobhi, M.M. Address : Faculty of Applied Science, Umm Al-Qura University, Makkah, KSA.

Accepted : 12/19/2015 4:07:00 PM
Abstract :
In this paper, step-stress partially accelerated life tests are considered when the lifetime of a product follows a two-parameter bathtub-shaped lifetime distribution (Chen Distribution). Based on progressive Type-II censoring, the maximum likelihood estimates (MLEs) are obtained for the distribution parameters and acceleration factor. In addition, asymptotic variance and covariance matrix of the estimators are given. Approximate confidence intervals and the bootstrap confidence intervals for the distribution parameters and acceleration factor are given. An iterative procedure is used to obtain the estimators numerically using (Mathematica Package). A numerical example is presented to illustrate the method of estimation developed here. Finally, a Monte Carlo Simulation study is performed to check the statistical properties of estimates of the parameters and the confidence intervals.

Ref : 136
Title : PSEUDO-SLANT SUBMANIFOLDS OF A NORMAL PARACONTACT METRIC MANIFOLD
Author(s) :
 Name : süleyman dirik Address : Amasya ünv.

 Name : mehmet Atçeken Address : Gaziosmanpasa ünv.

 Name : ümit yıldırım Address : Gaziosmanpasa ünv.

Accepted : 12/19/2015 4:07:00 PM
Abstract :
In this paper, the geometry of pseudo-slant submanifolds of a normal paracontact metric manifold are studied. We research integrability conditions for the distributions which are involved in the definition of a pseudo-slant submanifold. The necessary and sufficient conditions are given for a pseudo-slant submanifold to be pseudo-slant product.

Ref : 135
Title : A construction of non-gaussian white noise analysis using the theory of hypercomplex systems
Author(s) :
 Name : M. Zakarya Address : Faculty of Science, Al-Azhar University, Assiut, Egypt

 Name : Hossam A. Ghany Address : Faculty of Science Taif University, Taif, Saudi Arabia

 Name : Abd-Allah Hyder Address : Faculty of Engineering, Al-Azhar University, Cairo, Egypt

Accepted : 12/19/2015 4:07:00 PM
Abstract :
In this paper, we present a generalization of white noise analysis to the case of non-Gaussian
measures. For this purpose, we use a biorthogonal approach in which instead of the exponentials
the characters of commutative hypercomplex systems are employed. Moreover, we construct
the elements of Wick calculus in a non-Gaussian setting.

Ref : 134
Title : Novel approach for scheduling on parallel identical machines
Author(s) :
 Name : Omar Selt Address : Department of Mathematics, University of Msila

Accepted : 12/19/2015 4:08:00 PM
Abstract :
In this paper, we propose novel approach for solving scheduling problem of n tasks on m parallel identical machines. this problem is NP-complete in the strong sense and finding an optimal solution appears unlikely.This problem is formulated as an integer linear programming model with integer and deterministic data. Extensive computational experiment were performed which gave promising results in this work.

Ref : 133
Title : Some tasks of quantum Fisher information in two-qubit entanglement in the framework of quantum state estimation
Author(s) :
 Name : S. Abdel-Khalek Address : Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia

 Name : M. A. El-Sayed Address : Department of Computer Science, CIT College, Taif University, Taif, Saudi Arabia

 Name : G. A. Abd-Elmougod Address : Department of Computer Science, CIT College, Taif University, Taif, Saudi Arabia

Accepted : 12/15/2015 2:51:00 PM
Abstract :
In this paper, we have discussed the quantum entanglement between two-two level atoms and optical coherent field as well as the atom-atom entanglement and their relationship with the quantum Fisher Information based on the quantum state estimation. Analytic results under certain parametric conditions are obtained, by means of which we have analyzed the influence of different parameters on the entanglement measures and quantum Fisher information for two types of the estimator parameter. Also, we have investigated the quantum Fisher information flow and nonlocal correlation between the two qubits which is measured by the concurrence and the entanglement between the two qubits and optical field which is measured by the von Neumann entropy in terms of the parameters involved in the whole system. The effect of the atomic motion in terms of velocity parameter in the evolution of the system dynamics; nonlocal correlation and quantum Fisher information have been discussed.

Ref : 132
Title : THE SOLITON INTERACTION IN WEAKLY NONLOCAL NONLINEAR MEDIA ON THE EXTERNAL POTENTIALS.
Author(s) :
 Name : Nor Amirah bt Mohd Busul Aklan Address : Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 25200 Kuantan, Malaysia

 Name : Bakhram Umarov Address : Department of Physics, Faculty of Science, International Islamic University Malaysia, 25200 Kuantan, Malaysia

Accepted : 12/15/2015 8:56:00 AM
Abstract :
This paperwork had observed the analytical and numerical study of the solitons interaction and scattering of the weakly nonlocal nonlinear media on the external potential called delta potential. Using Nonlinear Schrodinger Equation (NLSE) in weakly nonlocal nonlinear media, we applied the variational approximation method to derive the equations for soliton parameters evolution during scattering process. Then a direct numerical simulation of NLSE is used to check the validity of approximations, considering the soliton initially located far from potential. Depending on initial velocity of the soliton, the phenomenon of reflection and transmission of the soliton through the potential have been showed. The critical values of the velocity separating these two scenarios have been identified.

Ref : 131
Title : Statistical Analysis of time series data using Error correction model
Author(s) :
 Name : Amhammed Almhdi Abdallah Address : Faculty of Education Brack–Sebha University–Libya

 Name : Nuri Omar Ali Address : Department of Statistics Faculty of Science Sebha University-Libya

Accepted : 12/15/2015 8:56:00 AM
Abstract :
The aim of this paper is to analyze the monthly and annual data for the temperature and hours of sunshine rays and humidity to the Libyan city of Sebha; for the purpose of testing the existence of unit root and the long-term relations of causality; using error correction model and the concept of cointegration

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