Ref : 263
Title : Medication by Mathematics (Drug Model)
Author(s) :
 Name : Basma Gamil Abdul-Moety Address : Zewail City of Science and Technology

 Name : Esraa Magdy Mahmoud Address : Zewail City of Science and Technology

 Name : Shorouk Shalaby Fathy Address : Zewail City of Science and Technology

 Name : Maha Mohamed Ezzat Address : Zewail City of Science and Technology

 Name : Zahraa Shebl Baza Address : Zewail City of Science and Technology

Accepted : 2/2/2015 1:36:00 PM
Abstract :
Medications have to be both safe and effective. They can be potentially dangerous if taken in incorrect doses. Determining the correct medication doses requires understanding how the drug enters the body, how it is absorbed and how it is eliminated from the body and by what rates. It also requires knowledge of the factors affecting the rates of absorption and excretion. Without such knowledge, a patient is subjected to serious dangers. Our aim is to find a mathematical model to translate real-life drug intake processes into manageable mathematical expressions to give us an insight for determining drug dosages. A drug model was designed to express the processes of absorption and excretion of medications into and out of the blood. By solving these differential equations, we can reach a drug model representing drug levels in the GI tract and blood. Consequently, drug dosages can be determined in order to be both safe and effective.

Ref : 262
Title : Bootstrap order statistics and Its applications
Author(s) :
 Name : E. M. Nigm Address : Dept. of Math. Faculty of Sci. Zagazig University, Zagazig, Egypt.

Accepted : 2/2/2015 6:26:00 AM
Abstract :
In this paper the Block Maxima (BM) and the Peak Over Threshold (POT) methods are used to model the air pollution. A simulation technique is suggested
to choose a suitable threshold value. The validity of the estimated models is checked by the Kolmogorov-Smirnov (K-S) test. A new efficient approach for modeling extreme values is suggested. Finally, the inconsistency and weak consistency of bootstrapping central and intermediate order statistics for an
appropriate choice of re-sample size are investigated.

Ref : 261
Title : Bootstrap order statistics and Its applications
Author(s) :
 Name : E. M. Nigm Address : Dept. of Math. Faculty of Sci. Zagazig University, Zagazig, Egypt.

Accepted : 2/2/2015 6:27:00 AM
Abstract :
In this paper the Block Maxima (BM) and the Peak Over Threshold (POT) methods are used to model the air pollution. A simulation technique is suggested
to choose a suitable threshold value. The validity of the estimated models is checked by the Kolmogorov-Smirnov (K-S) test. A new efficient approach for modeling extreme values is suggested. Finally, the inconsistency and weak consistency of bootstrapping central and intermediate order statistics for an
appropriate choice of re-sample size are investigated.

Ref : 260
Title : NONISOMORPHISM CLASSES OF HAMILTONIAN CIRCUITS IN COMPLETE GRAPHS
Author(s) :
 Name : Haslinda Ibrahim Address : School of Quantitative Sciences, College of Arts and Sciences, Universiti Utara Malaysia, 06010 Sintok Kedah

 Name : Maizon Md Darus Address : School of Quantitative Sciences, College of Arts and Sciences, Universiti Utara Malaysia, 06010 Sintok Kedah

 Name : Sharmila Karim Address : School of Quantitative Sciences, College of Arts and Sciences, Universiti Utara Malaysia, 06010 Sintok Kedah

Accepted : 2/1/2015 3:53:00 AM
Abstract :
Decomposing complete graph into subgraphs has wide application in the computer science. Numerous studies span on computation time. Thus, this paper aims to formulate a novel picturing method called Half Butterfly Method (HBM) to resolve the aforementioned problem. Several numerical examples will be provided towards developing HBM. The concept of Wing Strategy is proposed to create directions from one vertex to another vertex. Then, these directions are used to map distinct vertices. Furthermore, each structure of Hamiltonian circuits will be analyzed to determine isomorphism classes. It is shown that adjacency matrix can be used as a tool to classify up to isomorphism classes. Finally, the findings will be employed to list n! permutations.

Ref : 259
Title : Surface instability of the perturbation solutions for a liquid thin film free surface flow
Author(s) :
 Name : Morad A. M. Address : Department of Mathematics and Computer Science, Menoufia University, 32511 Egypt

Accepted : 1/30/2015 2:41:00 PM
Abstract :
In this paper, we explore theoretically the flow instabilities occur in thin liquid films of a perturbation flow using in Euler equation in Cartesian coordinate system. We derived the shallow water equations describing the motion of thin liquid film on the rotating cylinder surface. The governing equations have been constructed by using the usual multi-scale asymptotic expansion methods. The hodograph method is used to investigate the behavior of solutions of the liquid layer motion on the outer cylinder surface. It is found that, when the liquid layer located on the outer surface of the cylinder, the behaviors of solutions are periodic perturbations. The modelling results showed that the initial perturbations can develop in the unstable media. The diagrams are drawn to illustrate the physical properties of the exact solutions, and indicate their stability and bifurcation by using various techniques.

Ref : 258
Title : How to make the smallest movie in the world?
Author(s) :
 Name : Ahmed Emad Abdullah Address : Zewail City of Science and Technology, Egypt

 Name : Essam Radwan Helmy Address : Zewail City of Science and Technology, Egypt

 Name : Shehab El Din Ahmed Nasef Address : Zewail City of Science and Technology, Egypt

Accepted : 1/29/2015 12:06:00 PM
Abstract :
In 2012, IBM research released a stop-motion animated short film on YouTube. One minute in length, it was made by moving carbon monoxide molecules (CO) viewed with a scanning tunneling
microscope (STM). In this project, we investigate the STM components as well as the design, how it operates through the principle of quantum tunneling and the relationship between the current, the tunneling bias and the tip-sample separation distance and their mathematical representation through an exponentially decaying equation.

Ref : 257
Title : Enhancing Students’ Achievement through Computer Assisted Instruction in the Subject of Mathematics
Author(s) :

Accepted : 1/29/2015 1:29:00 AM
Abstract :
Computer is the most significant and pervasive technological innovation of contemporary world and is certainly the eighth wonder of the world. Main purpose of the study was to determine the effectiveness of computer assisted instruction (CAI) in the subject of mathematics. It was an experimental study and 120 (M=60+FM=60) students of class XII (Pre-engineering) were taken as a sample of the study. For comparison purpose these 120 students were divided into two equal groups. 60 ((M=30+FM=30) students were assigned to experimental group and 60 (M=30+FM=30) to control group. Effectiveness of this technology was assessed in the concepts and skills of sets and matrices, by an objective type test consisting of 100 multiple-choice questions. Marks achieved by the students of experimental group and control group were analyzed through SPSS XVII by running percentages, mean scores and t-test formulas. Main findings of the study revealed that there was a significant difference between the students of both groups. Students taught through computer assisted instruction showed better results than their traditionally taught counterparts. They showed better performance in knowledge, understanding and application level either in non text based or lower and higher level text questions.

Key words: Computer Assisted Instruction, Mathematics, Students’ Performance

Ref : 256
Title : Solutions of Mhd Flow And Heat Transfer In A Square Duct With Joule Dissipation Using Two Methods
Author(s) :
 Name : Karem Mahmoud Ewis Address : Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, Fayoum, Egypt, 63514,

Accepted : 1/29/2015 1:30:00 AM
Abstract :
This study presents the effect of magnetic field of the fully developed Newtonian flow and heat transfer in a square duct. Double Fourier transform is used to introduce closed forms for velocity, temperature, friction and Nusselt number. The no slip condition and H1 thermal condition with four heated walls are considered. The present analytical solution is compared with special available results. The present analytical results are verified, in all cases, by introducing a finite difference method. The effects of Hartmann number and Brinkman number on the velocity, temperature, the friction factor and Nusselt number are investigated. New results are introduced for relatively high values of Brinkman number.

Ref : 255
Title : Empirical Mode Decomposition Based Invariant Representation for Color Images
Author(s) :
 Name : Abdelhameed Ibrahim Address : Faculty of Engineering-Mansoura University-Mansoura-Egypt

 Name : M.A. Mohamed Address : Faculty of Engineering-Mansoura University-Mansoura-Egypt

Accepted : 1/29/2015 1:31:00 AM
Abstract :
Illumination factors such as shading, shadow, and specular highlight observed from object surfaces can affect the appearance and analysis of the color images. Current invariant methods suffer from computation cost and the quality of the resulting image representation. This paper proposes an invariant representation for color images based on Hilbert Huang Transform (HHT) using Empirical Mode Decomposition (EMD); data driven based technique. The sifting method for EMD extracts the intrinsic functions (IFs) from the original images and hence generates the corresponding timeseries, and then uses Hilbert transform to provide the time-frequency-energy image representation of all selected IFs. Experimental results, show that the invariant formulas for color images based on HHT are invariant to highlight; shadow; surface geometry, and illumination intensity. The overall performance of the proposed representation is examined in experiments using real-world objects including metals and dielectrics in detail.

Ref : 254
Title : An Extended Framework for Quantum Computing Simulation on Classical Computers
Author(s) :
 Name : M. A. El-dosuky Address : Mansoura University

Accepted : 1/29/2015 1:31:00 AM
Abstract :
Simulating quantum computing on a classical computer may take the form of Quantum Turing Machine, quantum circuit of gates or, a quantum programming language. The aim of this paper is to re-introduce and extend a framework for quantum computing. The framework is capable of matrix operations both basic and advanced. It can perform qubits and register operations. It comes with pre-defined 1D, 2D, and 3D quantum gates. The framework also comes with an implementation of Grover quantum database search.

Ref : 253
Title : Parameters Optimization of SVM using Backtracking Search Algorithm
Author(s) :
 Name : Rasha M. Abd ElAziz Address : Mathematics Department, Faculty of Science, Assiut University

 Name : M. H. Marghny Address : Computer Science Department, Faculty of Computers and Information, Assiut University

 Name : Ahmed I. Taloba Address : Computer Science Department, Faculty of Computers and Information, Assiut University

Accepted : 1/29/2015 1:31:00 AM
Abstract :
In this paper a new approach for data classification is presented based on Support Vector Machine (SVM) incorporating with Backtracking Search Algorithm (BSA). Support Vector Machine has achieved a great performance in many classification problems. SVM has several parameters, which have significant effect of the classifier performance. Different problems may require different parameter values. If parameters doesn’t take suitable values, results may turn out to be unsatisfactory. Therefore, a Backtracking Search Algorithm (BSA) approach is proposed to obtain the best parameters values to obtain better classiﬁcation performance. To evaluate the performance of the proposed approach, datasets from UCI repository are used. The corresponding results were compared to several published approaches. The comparisons show that the proposed approach improved the classiﬁcation accuracy rate in most datasets.

Ref : 252
Title : Nanoinformtics: A new era of Nanotechnology
Author(s) :
 Name : Wesam Ahmed Tawfik Address : Giza

Accepted : 1/27/2015 3:56:00 PM
Abstract :
Nanoinformtics is a new approch to assess the state of informatics relevant to all aspects of the nanotechnology enterprise.From materials to processes to products; accessible data, information, models, and simulations will enable innovators to optimize performance and accelerate the innovation cycle from concept to product. Nanoinformatics is necessary for intelligent development and comparative characterization of nanomaterials, for design and use of optimized nanodevices and nanosystems, and for development of advanced instrumentation and manufacturing processes.Nanoinformatics encompasses aspects of data collection, tools, and sharing, along with associated applications that are becoming a key element of nanotechnology research.The quantity of information on nanomaterial properties and behavior continues to grow rapidly. Without a concerted effort to collect, organize and mine disparate information coming out of current research efforts, the value and effective use of this information will be limited at best.Thats why nanoinformtics is important to record achievements in nanotechnology and develop them

Ref : 251
Title : Search agent System based on Semantic web
Author(s) :
 Name : Majid Ahmed Askar Address : Computer Science Department, Faculty of Computers and Information, Assiut University

 Name : Hesham Ahmed Hassan Address : Computer Science Department, Faculty of Computers and Information, Cairo University

Accepted : 1/27/2015 3:56:00 PM
Abstract :
The Semantic Web is an extension of the current
web in which well-defined meaning is added to web content in order to make it machine readable. The term "search engine” is traditionally used to refer to crawler based search engines, manually maintained directories, and hybrid search engines. However, current search engines do not fully satisfy the users needs especially in terms of accuracy and specificity of the results. This paper proposes an approach to build a search agent system on top of the Semantic Web. In this work, an organization related ontology is used as well as annotated resources based on that ontology. The presented system consists of four main parts: the Ontology Parser, the Crawler, the Search Agent, and the Data Repository. Two kinds of search are implemented: classical and advanced. While classical is based on matching keywords to concepts and advanced search allows a user to choose the concept that s/he want to search for together with some attributes for this concept. A review on search engine techniques is also presented. The search agent was designed, built, and tested.

Ref : 250
Title : Analytical Model for Novel Design of Five-Bar Polycentric Knee Joint
Author(s) :
 Name : A.R.AHMAD Address : Production and Design Dep. Faculty of Engineering, Minia Univ. Egypt

Accepted : 1/27/2015 3:57:00 PM
Abstract :
Abstract
Many designer used the four-bar linkage for the knee joint of an above-knee prosthesis can provide knee rotation suitable for walking only. A five-bar linkage prosthesis with spring swing phase control is developed and its analysis show its suitability for providing motion closely resembling that of a normal subject during walking and squatting. Simulation models built using MSC-ADAMS software are used to validate the developed kinematic models. The simulation shows a good agreement between the results obtained using the developed models and those obtained using MSC-ADAMS models.
Keywords: Five-bar polycentric knee, Kinematics, and MSC-ADAMS.

Ref : 249
Title : On the Fractional Order Differential Equations for Real life Models
Author(s) :
 Name : N. H. Sweilam Address : Faculty of Science, Mathematics Department, Cairo University, Giza, Egypt

Accepted : 1/27/2015 7:15:00 AM
Abstract :
Fractional order derivative in mathematics is a natural extension of integer order derivatives. In order to deal with fractional order derivatives, many definitions are introduced, such as Riemann-Liouville, Grünwald-Letnikov, and Caputo, definitions. On the other hand, there are many applications of the fractional derivatives in different fields, including biology, chemistry, physics, geology, mechanical engineering, electrical engineering, control theory, astrophysics and social sciences.
In this talk, an overview will be given to some types of fractional Order differential equations for real life models such as the fractional cable equation and the fractional SIRC model and influenza A. Consequently, considerable attention has been given to the efficient numerical solutions of such models, because it is difficult to find the exact solutions for it. Special attentions is given to use the parallel weighted average finite difference method on a distributed system using message passing interface (MPI). The resultant large system of equations is studied using precondition conjugate gradient (PCG), with the implementation of cluster computing on it. The proposed approach fulfills the suitability for the implementation on Linux PC cluster through the minimization of inter-process communication.

Ref : 247
Title : Kinetic Analysis of Crystallization Process of Ge15Se60Sb25 Glass Using Iso-Conversional Method
Author(s) :
 Name : Yasmin Mohamed Yousef Address : Assuit

 Name : Mohamed Mahmoud Hafiz Address : Assuit

Accepted : 1/27/2015 1:19:00 AM
Abstract :
The activation energy of crystallization for Ge15Se60Sb25 glass was investigated under non isothermal condition using a Differential scanning calorimeter (DSC) technique at various heating rates. The activation energy was determined by analyzing the data using Matusita et al.method. The variation of activation energy, Eα with the degree of crystallization ,α and hence with temperature was analyzed by iso-conversional methods, i.e. Kissinger-Akahira-Sunose (KAS) and Friedman (FR) methods. The results indicate that the activation energy of crystallization is not constant throughout the crystallization process but varies with the degree of crystallization and temperature. This variation indicates that the transformation from amorphous to crystalline phase is a complex process involving different mechanisms of nucleation and growth. The temperature dependence of activation energy of crystallization is explained in the light of the nucleation theory of Turnbull and Fisher. The Maleks kinetic procedure associated with non-linear regression approach was used to determine the kinetic model function. From the kinetic analysis of the non-isothermal crystallization of this composition, it was concluded that the empirical two-parameter Sestak-Berggren kinetic model was found to be the most adequate one to describe the crystallization kinetics .

Ref : 246
Title : Annealing Effects on Structural and Optical Properties of Ge10Sb30Se60 Thin Film
Author(s) :
 Name : Yasmin Mohamed Yousef Address : Assuit

 Name : Nahid Abu Elhassan Address : Assuit

Accepted : 1/27/2015 1:21:00 AM
Abstract :
The optical constants of as-prepared and thermally annealed Ge10Sb30Se60thin films were determined. Effect of heat treatment on the structure and optical properties of Ge10Sb30Se60 thin films in the range between the glass transition and crystallization temperature have been investigated. The glass transition and crystallization temperature of the synthesized sample was measured by non- isothermal DSC measurements. The microstructure and optical properties of these films were characterized by UV-VIS spectrum, scanning electron microscope (SEM) and X-ray diffraction (XRD). The optical band gap for as-prepared and annealed films have been calculated using Taucs low from the optical transmission and reflection spectra. The results indicate that the optical band gap Eopt increases when the annealing temperature (Ta) is lower than the glass transition temperature (Tg), while decreases with further increase of Ta. The XRD studies show that the as-prepared film is amorphous in nature, but the crystalline improved with increasing the annealing temperature. Furthermore the particle size and crystalline increases while the dislocation and strains decreases with increasing the annealing temperature. Thermal annealing was found to be accompanied by structural effects, which in turn, lead to change in the optical constants. The obtained results were explained in terms of the Mott and Davis model for amorphous materials and amorphous to crystalline structure transformations.

Ref : 245
Title : New classes of Analytic Functions
Author(s) :
 Name : Khalifa Al-Shaqsi Address : Oman - Bahla Po. Box:75

Accepted : 1/27/2015 1:22:00 AM
Abstract :
In this paper, we introduce a new class of analytic functions defined by stirling numbers. Characterization and distortion
theorems, and other interesting properties of this class of functions are studied.
Further, the modified Hadamard product of several functions belonging to this class
are also investigated.

Ref : 244
Title : A new Approach for Contrast Enhancement of Infrared Images Based on Contrast Limited Adaptive Histogram Equalization
Author(s) :
 Name : Huda Ibrahim Ashiba Address : Tala, Monoufiya

Accepted : 1/26/2015 1:40:00 AM
Abstract :
This paper proposes a novel enhancement method for infrared images (IR) .This algorithm based on contrast limited adaptive histogram equalization (CLAHE) that adaptive and improves infrared images. Some attempts are proposed for enhancement of infrared images using this model, since infrared images have several many applications, it is expected that CLAHE would be better in their enhancement than histogram equalization (HE). The simulation results show the superiority of CLAHE to HE in the enhancement of IR images from both the visual quality and Peak-to-peak signal-to-noise ratio (PSNR) points of view. So, applying this proposed method reinforces visual details in IR images enhancement.

Ref : 242
Title : A fractional-order Jacobi tau approximation for a class of time-fractional PDEs with variable coefficients
Author(s) :
 Name : Ali H Bhrawy Address : Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

 Name : Mahmoud A. Zaky Address : Department of Applied Mathematics, National research center, Cairo, Egypt

Accepted : 1/26/2015 1:40:00 AM
Abstract :
This paper presents a shifted fractional-order Jacobi orthogonal function (SFJF) based on the definition of the classical Jacobi polynomial. A new fractional integral operational matrix of the SFJF is presented and derived. We propose the spectral tau method, in conjunction with the operational matrices of Riemann-Liouville fractional integral for SFJF and derivative for Jacobi polynomial, to solve a class of time-fractional partial differential equations (T-FPDEs) with variable coefficients. In this algorithm, the approximate solution is expanded by means of both SFJFs, for temporal discretization, and Jacobi polynomials for spatial discretization. The proposed tau scheme, both in temporal and spatial discretizations, is successfully reduced such problem into a system of algebraic equations which is far easier to be solved. Numerical results are provided to demonstrate the high accuracy and superiority of the proposed algorithm over the existing ones.

Ref : 241
Title : Eyeglasses Shop: Eyeglasses Replacement System Using Frontal Face Image
Author(s) :
 Name : Mahmoud Afifi Address : IT Dept., Assiut University, Egypt

Accepted : 1/26/2015 1:40:00 AM
Abstract :
In this work, we present a system for eyeglasses replacement that automatically replaces eyeglasses from an input frontal face image with another one. First, the system generates a binary mask that specifies the location of the eyeglasses in the input image. Next, the unwanted pixels from the image are completed using patch-based synthesis. Finally, the user chooses a new eyeglasses from a database of eyeglasses images to see his\her frontal image with the selected eyeglasses. One of useful application of the proposed system is an online eyeglasses shop, where the user can replace his\her eyeglasses with another one from the store and see his\her picture with the new one before buying it. Experimental results show that the proposed system effectively replaces eyeglasses from frontal face image of the user.

Ref : 240
Title : Aspects of Operations Research and Management
Author(s) :
 Name : El-Sayed Mohammed Ibrahim Gaballa Address : KSA

Accepted : 1/24/2015 8:28:00 AM
Abstract :
We study the functions of the production and operations management in industrial companies. We used some tools for quality control and evaluation and the quality management assessment is carried out by quantitative methods.

Ref : 238
Title : Solving differential equations by Lie symmetries
Author(s) :
 Name : Ahmed Mustafa Thabt Address : Zewail City of Science and Technology

 Name : Mohamed Hamdi Nofal Address : Zewail City of Science and Technology

Accepted : 1/24/2015 8:28:00 AM
Abstract :
When a first-order differential equation is not separable, it is usually difficult to be solved by basic methods. Nevertheless, if Lie symmetry method is applied, new coordinates in which the differential equation is separable can be found, and the solution is straightforward in the new coordinates. Lie symmetry method involves finding symbols of the infinitesimal transformation followed by applying the method of characteristics to find the new coordinates. We attempted to apply lie symmetry method to solve a particular form of differential equations that would be complicated to be solved by basic methods.

Ref : 236
Title : Computational Liquid Crystal Photonics
Author(s) :
 Name : Mohamed F. O Hameed Address : Zewail City of Science and Technology

 Name : S. S. A. Obayya Address : Zewail City of Science and Technology

Accepted : 1/22/2015 3:24:00 PM
Abstract :
The last decade has witnessed a dramatic progress and interest in the micro- and nano-fabrication techniques of complex devices to enable various applications. In almost all cases, an accurate quantitative theoretical modelling of these devices has to be based on advanced computational techniques that solve the corresponding, numerically very large linear, nonlinear or coupled partial differential equations. Photonic crystal fibers (PCFs) have attracted the interest of many researchers in recent years due to their unusual optical properties. PCFs can be endlessly single mode over a wide wavelength range, and can be tailored to achieve nearly zero and flat dispersion over a wide range of wavelengths. Recently, some attention has been devoted to the possibility of infiltration of the air holes with different materials such as polymer, oil, or liquid crystal (LC). However, PCF structure infiltrated by a LC has unique and uncommon propagation and polarization properties. In almost all cases, an accurate quantitative theoretical modelling of these devices has to be based on advanced computational techniques that solve the corresponding, numerically very large linear, nonlinear or coupled partial differential equations. In this regard, the photonics group headed by Prof. Obayya has contributed in the development of a “comprehensive numerical package” for the accurate numerical modelling of electromagnetic wave propagation in a wide range of microwave and photonic waveguides, cavities and devices. In this talk, the different computational modelling techniques will be first introduced. In addition, novel designs of high birefringence LC PCF infiltrated by a nematic liquid crystal (NLC-PCF) are presented and analyzed. Moreover, due to their different uses in communication systems, the performance of novel designs of high tunable polarization rotator, directional coupler, polarization splitter, multiplexer-demultiplexer, filter, temperature sensors based on the NLC-PCF will be introduced. The simulation results are obtained using full vectorial finite difference method, full vectorial finite difference beam propagation method, and finite difference time domain method (FDTD) with nonuniform meshing capabilities and perfect matched layer boundary conditions.

Ref : 235
Title : Image Encryption Using Multiplicative Elliptic Curves over Finite Prime Field
Author(s) :
 Name : Omar Reyad Address : Warsaw University of Technology, Poland, Sohag University, Egypt

 Name : Zbigniew Kotulski Address : Warsaw University of Technology, Poland

Accepted : 1/22/2015 2:42:00 PM
Abstract :
In this paper, Elliptic Curve Pseudo-random Number Generator (ECPRNG) is considered in the design of various symmetric keys for image encryption. This key sequences derived from random sequences based on multiplicative of elliptic curve (EC) points. Statistical and differential analysis demonstrate that the proposed algorithms have adequate security for the confidentiality of digital images.

Ref : 234
Title : Modified projective combination-combination synchronization among four chaotic fractional-order complex systems
Author(s) :
 Name : Gamal M. Mahmoud Address : Department of Mathematics, Faculty of Science, Taibah University, Al-Madeenah Al-Munawwarah, PO Box 344, Kingdom of Saudi Arabia

 Name : Mansour E. Ahmed Address : Umm Al-Qura University, Makkah 2064, Kingdom of Saudi Arabia.

 Name : Tarek M. Abed-Elhameed Address : Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

Accepted : 1/22/2015 1:19:00 AM
Abstract :
The modified projective combination-combination synchronization among four chaotic fractional-order complex systems is investigated. These systems which contain complex variables have unique solution. We represented the scheme of modified projective
combination-combination synchronization among four chaotic fractional-order complex systems. The projective and anti combinationcombination
synchronization are discussed as special cases of the modified projective combination-combination synchronization. An example is studied to illustrate this kind of synchronization analytically as well as numerically.

Ref : 233
Title : Generic polynomial of integers and applications
Author(s) :
 Name : Nidal ALI (Associate professor) Address : Beirut Lebanon. Lebanese university faculty of sciences. Mathematics department

Accepted : 1/21/2015 3:56:00 PM
Abstract :
Let $K$ be an algebraic number field of degree $n$
and $p$ is a prime number inert in $K$. We will apply the generic polynomial of integers of $K$ in
order to obtain all the monic irreducible polynomials of degree $d$ dividing $n$.

Ref : 232
Title : Modelling Cyber Security Incidents according to Country Size Indicators: The Usefulness of Linear Model in Generating Baseline Expectations
Author(s) :
 Name : Yi-Ching Liao Address : Norwegian Information Security laboratory, Gjovik, Norway

 Name : Han-Teng Liao Address : Oxford Internet Institute, Oxford, UK

Accepted : 1/21/2015 3:57:00 PM
Abstract :
Often cyber-security or threat incidents research use regional and global ranking and percentage share for reporting. However, such cross-country comparisons seldom take into accounts the fact that many countries are of different sizes. Data normalization based on country sizes is thus required but often neglected. Countries with bigger economy, larger population and more machines are expected to have their regional and proportional share of incidents. To model such incidents based on country sizes, we use proportional linear model to generate expected values based on different size indicators. These values then can be used as baselines for cross-country comparisons, thereby observed values of cyber-security or threat incidents can be normalized. This article shows the usefulness of such approach by employing size indicators of (a) domestic product (GDP) at purchasing power parity (PPP), (b) Internet population, (b) population and (c) the number of IPv4 addresses as baseline indicators to generate expectations. It also plots a few observations that have been reported by certain cyber-security companies such as FireEye and Trustwave on countries in regions such as EMEA (Europe, Middle-East and Africa), META (Middle-East, Turkey and Africa) and LAC (Latin America and the Caribbean). More so than the conventional reporting based on ranking and percentage share, the linear proportional model is shown to be effective in identifying countries who have much more or less than their respective regional share of cyber-security incidents. We conclude with a discussion on the usefulness and requirements of this systematic approach and the implications of such linear proportional model in reporting cyber-security or threat incidents and making public policies.

Ref : 231
Title : Fractional order e-Epidemic model with Highly Infectious Nodes
Author(s) :
 Name : ahmed hassan kamal Address : Suez-Egypt

 Name : A.M.A. El-Sayed Address : Alexandria, Egypt,

 Name : A.A.M. Arafa Address : Sharkia-Zagazeg

 Name : M. Khalil Address : Giza, Egypt

Accepted : 1/21/2015 3:57:00 PM
Abstract :
Abstract: In this paper, SIJR e-epidemic model of fractional order for the transmission of viruses in computer network with natural death of fractional order has been presented. The fractional derivatives are described in the Caputo sense. In this model the nodes have two levels of infection: the first node is low infectious (I) while another node is high infectious (J) and the interaction of two level infectious nodes. Predictor-Corrector method is employed to obtain numerical solution of presented model.

Ref : 230
Title : Fractional-orders evolution equations
Author(s) :
 Name : El-Sayed, A M A Address : Faculty of Science, Alexandria University

Accepted : 1/21/2015 5:21:00 AM
Abstract :
Let $X$ be a Banach space, $~A~$ be a linear operator with domain $~D(A)~\subset X~$ not necessarily bounded.\\
In this talk we are concerned with the existence of a unique solution of the initial value problem of the fractional-order evolution equation
$\left\{ \begin{array}{cc} D^{\alpha}~u(t)~=~A~u(t),~~~~~~~~~~~t\in (0,T] ~~\mbox{~and~} \alpha \in (0,1]\\ u(0)~=~u_o \end{array} \right.$
and the initial value problem of the fractional-order evolutionary integral equation
$\left\{ \begin{array}{cc} D^{\alpha}~u(t)~=~f(t)~+~\int_0^t~h(t-s)~A~u(s)~ds,~~~~~~~~~~~t\in (0,T]\\ u(0)~=~u_o. \end{array} \right.$
Some applications will be consider.

Ref : 229
Title : Mobile Cloud Computing: An Introductory Survey
Author(s) :
 Name : Majid Ahmed Askar Address : Computer Science Department, Faculty of Computers and Information, Assiut University

Accepted : 1/18/2015 12:06:00 PM
Abstract :
Mobile devices like smartphone and tablet PC are becoming an essential in human life. Mobile users use many mobile applications that may run on remote server. The progress of mobile computing makes it a part of the development in many fields. Cloud computing has been recognized as the next generation computing infrastructure. The integration of Cloud Computing and Mobile computing created a new technology called Mobile Cloud Computing. This paper presents a survey on Mobile Cloud Computing. Definition and challenges to Cloud Computing, Mobile computing and Mobile Cloud Computing are presented. Architecture for Cloud Computing and Mobile Cloud Computing is presented. Research issues and current application and systems of Mobile Cloud Computing are presented.

Ref : 228
Title : From Kepler to Rosetta
Author(s) :
 Name : Ahmed Abbdein EL-Leithy Address : Zewail City of Science and Technology, Egypt

 Name : Mohamed Saleh khalafallah and Ahmed Emaddin Address : Zewail City of Science and Technology, Egypt

Accepted : 1/16/2015 11:10:00 PM
Abstract :
Since Rosetta is the first journey to land on the surface of a comet. It was one of the greatest achievements of science in 2014. This mission was organized by ESA (European Space Agency) in 1993. The launch from the Earth was in 2004 and the land on the comet 67P Churyumov-Gerasimenko was in 2014 . It has been orbiting for 10 years in the solar system to be in the right orbital. For this motion in the solar system to be calculated, we can use Keplers Laws of Planetary Motion which was developed by Newton who proved it mathematically by using calculus and deferential equations.

Ref : 227
Title : Unsteady motion with heat and mass transfer of the non-Newtonian casson nanofluid through non-darcian porous medium between two parallel plates
Author(s) :
 Name : M.A.I. Essawy Address : Higher Technological Institute (HTI), 3rd zone, 7th section – P.O Box NO. 4 - 6th of October City, Giza, Egypt

 Name : H. A. Attia Address : Department of Engineering Mathematics and Physics,Faculty of Engineering, Fayoum University, El-Fayoum-63415, Egypt

 Name : N.T. Eldabe Address : Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, Egypt

 Name : A.A. Ramadan Address : Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef - 62511, Egypt

 Name : A. H. Abdel-Hamid Address : Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef - 62511, Egypt

Accepted : 1/16/2015 11:11:00 PM
Abstract :
The unsteady flow in porous medium of an incompressible Casson nanofluid bounded by two stationery parallel horizontal porous plates is studied. The heat and mass transfer are taken into our consideration. A non-Darcy model that obeys the Forchheimer extension is assumed for the characteristics of the porous medium. A uniform and constant pressure gradient is applied in the axial direction whereas a uniform suction and injection are applied in the direction normal to the plates. The two plates are kept at constant and different temperatures and the viscous dissipation is not ignored in the energy equation. Moreover, the concentration of the nanoparticles at the lower plate level differs from that at the upper one, while, both are kept constants. The system of momentum, heat and mass equations are solved numerically by using the finite difference scheme under the appropriate initial and boundary conditions. The effects of the porosity of the medium, inertial damping, the uniform (suction/ injection) velocity, the non-Newtonian Casson parameter, Eckert number, Prandtl number, Lewis number, Brownian motion parameter and thermophoretic parameter on the velocity, temperature and nanoparticles concentration distributions are investigated.

Ref : 226
Title : Newton OR Leibniz..!
Author(s) :
 Name : Yara Alaa Eldin Address : Zewail City of Science and Technology, Egypt

 Name : Basma Bashir Address : Zewail City of Science and Technology, Egypt

 Name : Yomna Sherif Address : Zewail City of Science and Technology, Egypt

Accepted : 1/16/2015 12:39:00 PM
Abstract :
The calculus studied today were independently invented by Newton and Leibniz. However, the question that made a controversy in the 17th century was: Who created the study of change, infinitesimal calculus, first, Newton or Leibniz? Some authors identified the dispute as being about profoundly different methods. Thinking of everything in terms of motion, Newton considered the variable x as a fluent and its velocity x as a fluxion in his form of calculus,the method of fluxions and fluents. On the other hand, Leibniz used a differential triangle to obtain the slope of a tangent line to a curve and could derive the power, product and chain rules. The methods of Newton and Leibniz made great contribution in mathematics as well as physics.

Ref : 225
Title : How to make the smallest movie in the world ?
Author(s) :
 Name : Ahmed Emad Abdullah Address : Zewail City of Science and Technology, Egypt

 Name : Essam Radwan Helmy Address : Zewail City of Science and Technology, Egypt

Accepted : 1/16/2015 12:39:00 PM
Abstract :
In 2012, IBM research released a stop-motion animated short film on YouTube. One minute in length,
it was made by moving carbon monoxide molecules (CO) viewed with a scanning tunneling
microscope (STM). In this project, we investigated the STM components as well as the design, how it
operates through the principle of quantum tunneling and the relationship between the current, the
tunneling bias and the tip-sample separation distance and their mathematical representation through an
exponentially decaying equation.

Ref : 224
Title : Solving a Rough Interval Linear Fractional Programming problem
Author(s) :
 Name : Elsaid Ammar Address : Department of Mathematics, Faculty of Science . Tanta University. Tanta, Egypt

Accepted : 1/16/2015 12:39:00 PM
Abstract :
ABSTRACT
In this paper , A rough interval linear fractional programming RILFP problem is introduced. The RILFP problem is considered by incorporating rough interval in the objective function coefficients . This proved the RILFP problem can be converted to a rough interval optimization problem with rough interval objective which is upper and lower approximations are linear fractional whose bounds . Also there is a discussion for the solutions of this kind of optimization problem. An illustrative numerical example is given for the developed theory.

Ref : 223
Title : NANO GENERALIZED TOPOLOGY
Author(s) :
 Name : M. Y. Bakier Address : Department of Mathematics; Faculty of Science; Assiut University: Assiut71516;Egypt

Accepted : 1/15/2015 8:14:00 PM
Abstract :
Abstract
Rough set theory [6] is a recent approach for reasoning about data. It has achieved a large amount of applications in various real-life fields.
The main idea of rough sets corresponds to the lower and upper set approximations. These two approximations are exactly the interior and the closure of the set with respect to a certain topology on a collection U of imprecise data acquired from any real-life field. The base of the topology is formed by equivalence
classes of an equivalence relation E defined on U using the available information
The theory of generalized topology [1] was studied by Csaszar. It is well known that generalized topology in the sense of Csaszar is a generalization of the topology on a set. On the other hand, many important collections of sets related with the topology on a set form a generalized topology.
The notion of Nano topology [4] was introduced by Lellis Thivagar, which was defined in terms of approximations and boundary region of a subset of an universe using an equivalence relation on it. The purpose of this paper is to introduce and study a new generalized topology in terms of rough set called Nano generalized topology

Key words and phrases: Rough sets, topological space, generalized topology, Nano
topology.

Ref : 222
Title : Graphtation effect on a fiber-reinforced anisotropic medium under generalized magneto thermoelastic subject to thermal loading due laser pulse under three theories
Author(s) :
 Name : Magda E.M. Zidan Address : Mathematics Department, Faculty of Science, P.O. Box 44519, Zagazig University, Zagazig, Egypt

Accepted : 1/15/2015 8:14:00 PM
Abstract :
In this investigation , we introduce the (PDL,CT)theories to study the propagation of plane waves in a fiber reinforced anisotropic magneto thermoelastic medium subject loading due laser pulse and the influnce of gravity. The problem has been solved analytically using normal mode analysis to obtain the exact solution of the temperature distribution , displacement component and stresses.Numerical results for the field quantities are given in the physical domain and illustratted graphyicaly . Comparisons are made with the results theories in the ptesence and the absence of thf effect of a magnetic field fiber-reinforced and for two values of time

Ref : 221
Title : An Efficient Method based Codebooks for Face Detection under Partial Occlusion
Author(s) :
 Name : Mourad Ahmed Address : Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, Egypt

 Name : M. Hassaballah Address : Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, Egypt

Accepted : 1/15/2015 8:14:00 PM
Abstract :
Automatic detection of human face is an indispensable stage toward the design of face animation, face recognition/verification, human-computer interaction (HCI) and surveillance systems which encounter actions in uncontrolled circumstances. Nevertheless, occlusion, one of the obstacles for face detection based systems, can prevent efficiency of the performance for these systems. In this paper, we propose an efficient face detection method under partial occlusion whereas codebooks are learned for the human faces that formalize the locative distribution and various appearances of facial features. The codebooks are constructed by clustering a training set of facial features parts through extracting the distinctive features of spatial locality and orientation selectivity of Gabor filters bank. The posterior probability of the facial features and its relative location with respect to the face center are stored. Furthermore, localization of the face center is performed using adopted codebooks based on generalized Hough transform in Hough image where maxima peaks are corresponding to the face location. We tested the proposed method that achieved propitious results on publicly databases which show high efficiency to the state of the art.
Keywords: Face detection, Occlusion, Codebooks, Gabor filter, Hough transform.

Ref : 220
Title : An Efficient Embedded System for Remote Controlling of Mobile Robot Using Bluetooth Technology
Author(s) :
 Name : Hammam Alshazly Address : Mathematics department, Faculty of Science, South Valley University

Accepted : 1/15/2015 8:15:00 PM
Abstract :
The increasing demands on robot automation and robots that work independently without human interaction necessitate the need for remote controllers that enable communications between the user and the robot. However, these controllers must be wireless in order to give the robot its movement freedom. The need for wireless communication protocol designed for low power consumption and secure way to connect and exchange information between devices has led us to use Bluetooth in our work. In this paper we design an efficient embedded system and use it as a mobile robot. The robot is able to connect and communicate in a bidirectional way with mobile devices using Bluetooth technology. To accomplish this work we had to build electronic system, mechanical system and write software.

Ref : 219
Title : Modelling an Anti-lock Braking System for passenger cars
Author(s) :
 Name : Ahmad O. Moaaz Address : Mechanical Engineering Dept., Faculty of Engineering, Beni-Suef University, Beni Suef-62511, Egypt.

Accepted : 1/15/2015 8:15:00 PM
Abstract :
Antilock braking systems are fitted to many new cars with the aims of improving their ability to steer while braking heavily and of reducing stopping distances on some road surfaces. Antilock brake system has been designed to achieve maximum negative acceleration by preventing the wheels from locking. Research shows that the friction between road and tire is a nonlinear function of wheel slip. Therefore, maximum negative acceleration can be achieved by designing a suitable control system for wheel slip regulation at its optimum value. In this paper, mathematical model have been developed to predict these different surfaces and accordingly control the wheel slip to achieve maximum friction coefficient for different road surfaces. The surface prediction and control methods are based on a quarter car model to simulate high speed braking performance. The results show the performance of the controller developed in this paper is reduced the stopping distance of the brake system.

Ref : 218
Title : On Some Fixed Point Theorems for Mappings Satisfying Weak and Almost Weak Contractions in Ordered 2-Metric Spaces
Author(s) :
 Name : Mahpeyker Öztürk Address : Sakarya University, Department of Mathematics, 54187, Sakarya

Accepted : 1/15/2015 8:15:00 PM
Abstract :
In this paper, motivated by the definition of weak and almost weak contractions we introduce new contractive conditions and establish some fixed point theorems in ordered 2-metric spaces. The results given in this study are generalizations and extensions of some results existing in the literature.

Ref : 216
Title : Derivation of Concentration Relaxation Time during the Growing of Gas Bubbles in the Biotissues
Author(s) :
 Name : Selim Ali Mohammadein Address : Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.

Accepted : 1/15/2015 8:16:00 PM
Abstract :

In this paper, the relaxation time between two-phase bubbly flow for gas concentration inside the biotissues of divers is obtained. The relaxation time depends on concentration distribution around the growing gas bubbles in the tissues of divers who surface too quickly. The mathematical model is solved analytically by using the method of combined variables. The relaxation process is valid for variable and constant ambient pressure. The relaxation time is affected by tissue diffusivity, and the initial void fraction .

Ref : 215
Title : Mathematical Model of active Suspension system of automotive based on Fuzzy Logic Controller.
Author(s) :
 Name : Abd El-Nasser S. Ahmed Address : Mechanical Engineering Dept., Faculty of Engineering, South Valley University, Qena-83521, Egypt.

 Name : Prof. G.T.Abdel-Jaber1 Address : Mechanical Engineering Dept., Faculty of Engineering, South Valley University, Qena-83521, Egypt.

 Name : Dr. Nouby M. Ghazaly Address : Mechanical Engineering Dept., Faculty of Engineering, South Valley University, Qena-83521, Egypt.

 Name : Dr. Ahmed S. Ali Address : Mechanical Engineering Dept., College of Engineering, Assuit University, Assuit, Egypt

Accepted : 1/15/2015 8:16:00 PM
Abstract :
The vehicle vibration is common problem for passengers and drivers so many company and researchers are looking for a new manner to achieve ride comfort through different Controller systems .The main aim of this research paper is to introduce the mathematical model of two degree of freedom (DOF) of an active quarter car model to improve vehicle ride comfort. This paper also presents the design of a controller technique applied to an active suspension system of quarter car model using Fuzzy logic controller strategy using Matlab-Sirnulink environment. The mathematical equations of motion of the passive and active system are created for both quarter car models. The road input excitation is considered as a road disturbance in this study. The results of the study show that the Fuzzy controls of active suspension system are able to reduce unwanted vehicle body acceleration. In additions, the performance of Fuzzy in improving the stability and ride handling is much better than the passive system.

Ref : 214
Title : Performance Evaluation of the Bingo Electronic Voting Protocol
Author(s) :
 Name : Waleed Naji Address : Faculty of Computers and Information, Cairo University

 Name : Sherif Khattab Address : Faculty of Computers and Information, Cairo University

 Name : Fatma Omara Address : Faculty of Computers and Information, Cairo University

Accepted : 1/15/2015 8:16:00 PM
Abstract :
This work provides an empirical analysis of the computational performance of a prototype implementation of the Bingo electronic voting protocol. Bingo is a receipt-based end-to-end verifiable electronic voting protocol that claims the property of coercion resistance. According to this work, a prototype of the Bingo design has been described in terms of sequence, and class diagrams. Also, its operation has been demonstrated using a case study of a sample election. Four main operations have been analyzed; initialization of cyclic groups, generation of dummy votes, and two zero-knowledge proofs of fair vote distribution on candidates and receipt correctness. The performance is affected by the cyclic group order.

Ref : 213
Title : Medication by Mathematics (Drug Model)
Author(s) :
 Name : Basma Gamil Abdul-Moety Address : Zewail City of Science and Technology, Egypt

Accepted : 1/15/2015 8:17:00 PM
Abstract :
Abstract — Medications have to be both safe and effective. They can be potentially dangerous if taken in incorrect doses. Determining the correct medication doses requires understanding how the drug enters the body, how it is absorbed and how it is eliminated from the body and by what rates. It also requires knowledge of the factors affecting the rates of absorption and excretion. Without such knowledge, a patient is subjected to serious dangers. Our aim is to find a mathematical model to translate real-life drug intake processes into manageable mathematical expressions to give us an insight for determining drug dosages. A drug model was designed to express the processes of absorption and excretion of medications into and out of the blood. By solving these differential equations, we can reach a drug model representing drug levels in the GI tract and blood. Consequently, drug dosages can be determined in order to be both safe and effective.

Ref : 209
Title : Existence of travelling waves solutions for Reaction-Diffusion equations coupled with shallow water equations
Author(s) :
 Name : Mohamed Elshobaki Address : Via Penne 2, 67100 Laquila Italy

Accepted : 1/15/2015 8:20:00 PM
Abstract :
In this paper, we focus on the existence of travelling waves solutions for Reaction-Diffusion equations coupled with shallow water equations. We use the reaction diffusion equations to model the chemical reaction and the diffusion of sulfuric acid, which was carried by a barg that capsized into the Rhine river in 2011. In most cases, travelling waves solutions of a second order partial differential equation Are study by splitting the second order partial differential equation to a couple of first order ordinary differential equations, which may lead to an autonomous system. We show the existence of travelling waves solutions by following the phase plane analysis methods and discuss our model in a term of an autonomous system. We develop a numerical scheme based on Finite volume and Finite difference method to discretize the Burgers equation and reaction diffusion equation respectively. In the implementation, we use matlab program To obtain our numerical results.

Ref : 208
Title : Global Positioning System (GPS)
Author(s) :
 Name : Ahmed Ali Ramadan Address : Zewail City of Science and Technology, Egypt

 Name : Mohamed Elsayed Mohamed Address : Zewail City of Science and Technology, Egypt

 Name : Mohamed Khaled Saad Address : Zewail City of Science and Technology, Egypt

 Name : Amr Alaa Yosif Address : Zewail City of Science and Technology, Egypt

 Name : Ahmed Magdy Baza Address : Zewail City of Science and Technology, Egypt

 Name : Islam Samy Shalaby Address : Zewail City of Science and Technology, Egypt

Accepted : 1/15/2015 8:20:00 PM
Abstract :
GPS is a satellite based navigation system , it has numerous applications that can be used in every day life. it is an application for scientific theories like SR and Doppler Effect to give a great accuracy within 1 meter tolerance by using math to translate these theories to numbers that can be used by everyone with a very simple method .

Ref : 207
Title : Innovation in Risk and Portfolio Management
Author(s) :
 Name : Maged Melio Address : 1187 Kornish El Niel, National Bank of Egypt, Finance Sector, Floor 19

Accepted : 1/15/2015 8:21:00 PM
Abstract :
This research provides the recent techniques in risk and portfolio management using financial mathematics and its applications. Having portfolio of investment is good investment decision but managing portfolio risk is the most important. The relation among asset allocation, assessing portfolio risk, and managing the portfolio is discussed in the research criticizing each technique and the innovative techniques to manage the portfolio.
The research will criticize asset recent allocation strategies in the market. Defining the recent techniques of hedging portfolio risk aiming maximizing the portfolio returns. Besides, the research will provide proposals to manage the risk of portfolio using the recent application financial mathematics.

Ref : 206
Title : Fuzzy Programming Approach for Portfolio Selection Problems with Fuzzy Coefficients
Author(s) :
 Name : E. Ammar Address : 1- Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.

 Name : M. L. Hussein Address : - Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh, Egypt.

Accepted : 1/15/2015 8:21:00 PM
Abstract :
The portfolio selection problem (PSP) uses mathematical approaches to model stock exchange investments. Its aim is to find an optimal set of assets to invest on, as well as the optimal investments for each asset. In this paper, a portfolio selection problem (FPSP) with fuzzy objective function coefficient (FPSP) a multiple objective problem including uncertainties is investigated. The FPSP is considered by incorporating fuzzy numbers into the coefficients of the objective functions. Through the use of the -level sets of the fuzzy numbers, the FDSP is converted into the corresponding ordinary from -PSP). And an extended Pareto optimality concept called the -Pareto optimality is introduced. A fuzzy programming approach is applied to solve the ( -PSP). Linear membership function is being used to find the compromise solution. Finally, a numerical example is given for the sake of the paper for illustration.

Ref : 205
Title : An Efficient embedded system for remote controlling of mobile robot using Bluetooth technology
Author(s) :
 Name : H. A. Alshazly Address : Mathematics department, Faculty of Science, South Valley University

 Name : Vishal Pailwan Address : University of Mumbai, M.G. Road, Fort, Mumbai, India

Accepted : 1/15/2015 8:22:00 PM
Abstract :
The increasing demands on robot automation and robots that work independently without human interaction necessitate the need for remote controllers that enable communications between the user and the robot. However, these controllers must be wireless in order to give the robot its movement freedom. The need for wireless communication protocol designed for low power consumption and secure way to connect and exchange information between devices has led us to use Bluetooth in our work. In this paper we design an efficient embedded system and use it as a mobile robot. The robot is able to connect and communicate in a bidirectional way with mobile devices using Bluetooth technology. To accomplish this work we had to build electronic system, mechanical system and write software.

Ref : 204
Title : An Efficient embedded system for remote controlling of mobile robot using Bluetooth technology
Author(s) :
 Name : H. A. Alshazly Address : Mathematics department, Faculty of Science, South Valley University

 Name : Vishal Pailwan Address : University of Mumbai, M.G. Road, Fort, Mumbai, India

Accepted : 1/15/2015 8:25:00 PM
Abstract :
The increasing demands on robot automation and robots that work independently without human interaction necessitate the need for remote controllers that enable communications between the user and the robot. However, these controllers must be wireless in order to give the robot its movement freedom. The need for wireless communication protocol designed for low power consumption and secure way to connect and exchange information between devices has led us to use Bluetooth in our work. In this paper we design an efficient embedded system and use it as a mobile robot. The robot is able to connect and communicate in a bidirectional way with mobile devices using Bluetooth technology. To accomplish this work we had to build electronic system, mechanical system and write software.

Ref : 203
Title : An Efficient embedded system for remote controlling of mobile robot using Bluetooth technology
Author(s) :
 Name : H. A. Alshazly Address : Mathematics department, Faculty of Science, South Valley University

 Name : Vishal Pailwan Address : University of Mumbai, M.G. Road, Fort, Mumbai, India

Accepted : 1/15/2015 8:25:00 PM
Abstract :
The increasing demands on robot automation and robots that work independently without human interaction necessitate the need for remote controllers that enable communications between the user and the robot. However, these controllers must be wireless in order to give the robot its movement freedom. The need for wireless communication protocol designed for low power consumption and secure way to connect and exchange information between devices has led us to use Bluetooth in our work. In this paper we design an efficient embedded system and use it as a mobile robot. The robot is able to connect and communicate in a bidirectional way with mobile devices using Bluetooth technology. To accomplish this work we had to build electronic system, mechanical system and write software.

Ref : 202
Title : An Efficient embedded system for remote controlling of mobile robot using Bluetooth technology
Author(s) :
 Name : H. A. Alshazly Address : Mathematics department, Faculty of Science, South Valley University

 Name : Vishal Pailwan Address : University of Mumbai, M.G. Road, Fort, Mumbai, India

Accepted : 1/15/2015 8:26:00 PM
Abstract :
The increasing demands on robot automation and robots that work independently without human interaction necessitate the need for remote controllers that enable communications between the user and the robot. However, these controllers must be wireless in order to give the robot its movement freedom. The need for wireless communication protocol designed for low power consumption and secure way to connect and exchange information between devices has led us to use Bluetooth in our work. In this paper we design an efficient embedded system and use it as a mobile robot. The robot is able to connect and communicate in a bidirectional way with mobile devices using Bluetooth technology. To accomplish this work we had to build electronic system, mechanical system and write software.

Ref : 198
Title : PSHB: Partial Secret Key HB protocol
Author(s) :
 Name : Mahmoud H. Fahim Address : Masr-Aswan St.-Dishna -Qana-Egypt

Accepted : 1/15/2015 8:27:00 PM
Abstract :
This paper describe a light-weight provably-secure authentication protocol called the PSHB protocol, which is a variant of the HB protocol. The HB protocol uses the complexity of decoding linear codes for security against passive attacks by sending from reader to tag an array of ones and zeros its dimension K*N. The security for the PSHB protocol to passive attacks is enhanced by the sending an array with dimension M*N where 0

Ref : 197
Title : Undergraduate student in the first level in Engineering
Author(s) :
 Name : Mohamed Adel Seyam Address : civil Engineering Dept., Faculty of Engineering , Mansoura University , mansoura , Egypt

Accepted : 1/15/2015 2:12:00 AM
Abstract :
Actually,i think Math is the backbone of Physics as it can transform our ideas into equations and physical quantities that can be estimated.Thereby, we can describe the characteristics of any phenomenon at present and predict its future.From my point of view,Math is required to explain Physics and to make it meaningful.So,i want to upgrade my skills in Math by attending these courses given by professors from different universities of the world.Moreover,i wish to widen my horizons and gain new ideas by interacting with such scientific environment.

Ref : 196
Title : Using the Generalized Autoregressive Conditionally Heteroscedasticity model to forecast the EGX 100 Index- Egyptian stock market
Author(s) :
 Name : Rania Ahmed Hamed Mohamed Address : Department of Statistics, Mathematics and Insurance Faculty of Commerce Port Said University

Accepted : 1/15/2015 2:12:00 AM
Abstract :
The purpose of this paper is to model the volatility of EGX100, using various models: Autoregressive Conditional Heteroscedasticity (ARCH); Generalized ARCH (GARCH) model, Exponential GARCH (EGARCH) model, Threshold ARCH (TARCH) model and GJR-GARCH model. The dataset used in this paper are daily data from 2 January 2006 to 31December 2014.The results indicate that the GJR-GARCH model performs relatively better than the others models.

Ref : 195
Title : Gauss and Mean Curvatures by a Differential Quadrature Technique
Author(s) :
 Name : Sherif M. Radwan Address : Teaching Assistant in Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt.

 Name : Salwa A. Mohamed Address : Prof. Dr. in Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt.

 Name : Mohamed A. Abd El-mageed Address : Prof. Dr. in Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt.

Accepted : 1/15/2015 2:28:00 AM
Abstract :
In this paper, the derivatives of a smooth function are approximated with weighted sums of the function values at a group of so-called nodes, which are some points at which the function values are known. Lagrange approximation theory is used to approximate the function as a polynomial of the known values of the function at these nodes, then the different derivatives of the function is deduced from this polynomial. This approach is then verified by computing the Gaussian and Mean Curvatures of a Monkey Saddle Surface as an example for any other required 3-D surface.

Ref : 194
Title : Fractal Geometry ( Fractal in Action)
Author(s) :
 Name : Aya Moustafa Sayed Address : Zewail City of Science and Technology, Egypt

 Name : Aya Rabea Emara Address : Zewail City of Science and Technology, Egypt

 Name : Hadil Osama Address : Zewail City of Science and Technology, Egypt

Accepted : 1/15/2015 2:28:00 AM
Abstract :
Fractal geometry has always been a fascinating field as it relates between beauty, nature and mathematical equations.
Fractals were discovered way before being modeled by mathematical equations and computations. Fractals most significant properties are self-similarity and non-integer dimension, meaning that fractals are self-similar to the original body but they dont occupy the known dimensions that our eyes are familiar with. Modeling fractals mathematically can be done in many ways. One of them is complex number fractals. Fractals are represented on a complex plane using iterated functions. The Julia set and the Mandelbrot set are of the most famous complex number fractals that can be modeled easily and produce incredible fascinating images.

Ref : 193
Title : I-cube U-cube
Author(s) :
 Name : Ahmed Hashem Address : the pearl tower - the gulf compound - El-Bahr El-Azam street - Giza - Giza

Accepted : 1/15/2015 2:28:00 AM
Abstract :
In the world of quantum computer and 3-D TVs how do you imagine the internet search? I-cube u-cube is an idea of how the search engine might look like in this world, with some designs, marketing studies and economical visions.

Ref : 192
Title : Existence of global attractor in strongly continuous semigroups {T(t)} that has Lyapunov function of a metric space
Author(s) :
 Name : M.Imran Address : Perintis Kemerdekaan KM. 10. BTN ANTARA BLOK A14/4. Makassar 90245, Indonesia

Accepted : 1/15/2015 2:28:00 AM
Abstract :
Many Problems in our life can be formed by mathematics modelling to simplify its solutions. Most of the problems is formed in differential equation form. And the one interesting part of mathematics to be studied is problems in infinite dimensional spaces. `Global attractor is a basic concept and tool to study asymptotic behaviours of solutions of nonlinear evolution equations. A global attractor is an invariant compact set absorbing all of the bounded sets as time goes to infinity and by use of this method we can reduce problems for motions in infinite dimensional spaces to some finite dimensional ones.

Let V be a matric space. A one parameter family {T(t)} of maps T(t) ?V ?V,t?0, is called a C^0 semigroup (strongly continuous semigroups) if
T(0) is the identity map on V,
T(t+s)=T(t) ﾰ T(s) for all t,s?0,
The function
[0,?)ￗV?(t,x)? T(t)x?V.
Is continuous at each point (t,x)?[0,?)ￗV.

Let {T(t)} be a C^0 semigroup in a metric space V. A function L?V?R is said to be a Lyapunov function for {T(t)} if
L is continuous on V and bounded below,
For each v?V function (0,+?)?t?L (T(t)v)?R is nonincreasing,
For any v?V we have
L (T(t)v)=const. For all t?0 implies that T(t)v=v for all t?0.

In this paper we will discuss existence of global attractor in strongly continuous semigroups {T(t)} that has Lyapunov function of a metric space with additional assumption for strongly continuous semigroups {T(t)}.

Keywords : Global Attractor, strongly continuous semigroups, Lyapunov function.

Ref : 191
Title : Mathematical and Numerical Model of Ball Bearing Contact Stresses
Author(s) :
 Name : Ahmed Nabhan Mahmoud Address : Faculty of Engineering, Minia University, Minia

 Name : Nouby Mahdi Ghazly Address : Faculty of Engineering, South Valley University, Qena

 Name : Abdelhalim Mahmoud Sami Address : Faculty of Engineering, Minia University, Minia

Accepted : 1/15/2015 2:28:00 AM
Abstract :
This paper determines the contact stress of deep groove ball bearings type SKF 6004 through mathematical and numerical models. The mathematical model is developed using MATLAB software. The contact stress distribution between the ball and the raceway of the bearing is performed by finite element software ABAQUS. Influence of shaft misalignment with different angles namely is investigated. It is found that both mathematical and numerical models can be evaluated the contact stress at the interaction surface. It is also concluded that the shaft misalignment lead to decrease the maximum contact stress and increase the contact area between the ball and the raceway of the bearing.

Ref : 190
Title : Review of Bioinformatics in immune therapy in Hepatocellular carcinoma “HCC” Caused by Hepatitis C “HCV”
Author(s) :
 Name : Ali Mohamed Ali Kishk Address : Faculty of pharmacy , Mansoura University , Egypt

Accepted : 1/15/2015 2:28:00 AM
Abstract :
Immunotherapy is a new intervention that modulates immune responses for targeting and elimination of tumor cells often used in combination with other cancer treatments, but its mean problems in some types of cancer that has viral cause are the reactivation of the virus and the immune response to normal cells.
In this review, we will attempt to demonstrate Bioinformatics help in this field:
From new immune therapy under clinical trials for HCC caused by HCV such as Checkpoint Inhibitors “Tremelimumab , MEDI4736” , monoclonal Abs “TRC105” to Design and analysis of immune-evading therapeutic protein by PD2 algorithm.
Also in the review: The future of Proteomics to determine the differences between HCC and Non tumorous Liver ,also we demonstrate the discovery of cancer vaccination protocols with a genetic algorithm, and other epitope prediction and molecular docking methods for good identification of MHC class I restricted T-cell epitopes.

Keywords: Hepatocellular Carcinoma , immune therapy , HCV , HCC , Bioinformatics , proteomics , computational biology .

Ref : 189
Title : DISTRIBUTIONAL CONVERGENCE FOR THE NUMBER OF COMPARISONS NEEDED BY THE DUAL-PIVOT QUICKSORT
Author(s) :
 Name : B. Desouky Address : Mathematics Department, Faculty of science, Mansoura University, Mansoura, Egypt.

 Name : Mahmoud Ragab Address : Mathematics Department, Faculty of science, Al Azhar University, Nasr City (11884), Cairo, Egypt.

 Name : Nora N. Bondok Address : Mathematics Department, Faculty of science, Mansoura University, Mansoura, Egypt.

Accepted : 1/15/2015 8:27:00 PM
Abstract :
In this Work we look at a new version of sorting algorithms based
on divide-and-conquer algorithms. The Dual-pivot Quicksort algo-
rithm, sorts an unsorted list of length n distinct elements. It is a
version of the Unique pivot Quicksort, and both are stochastic divide-
and-conquer algorithms, which widely studied. In the Dual-pivot
Quicksort, two uniformly random chosen pivots are used to do the
job. In this paper a comprehensive survey and empirical study of the
Dual-pivot Quicksort algorithm is provided. The survey discusses in
detail some different variations of Quicksort starting with the original
version developed by Hoare in 1961 and ending with some of the most
recent ones. The study compared each algorithm in terms of the num-
ber of comparisons performed and the running times.The main object
is to analyze the running time performance of Dual-pivot Quicksort.
The limiting distribution of the normalized number of comparisons re-
quired by the Dual-pivot Quicksort algorithm is studied. It is known
to be the unique fixed point of a certain distributional transformation
T with zero mean and finite variance.
Keywords and phrases: sorting algorithms, Quicksort, Dual-pivot Quick-
sort, running time analysis, stochastic process.

Ref : 188
Title : The Golden Ratio
Author(s) :
 Name : Alaa El-Din Ashraf El-Said Address : 9 el hay el sabaa, second division, 6th of October City, Giza, Egypt

 Name : Mohamed Ramadan Address : 15 el hay el talet, second division, 6th of October City, Giza, Egypt

 Name : Mohamed Samy Address : 15 el hay el talet, second division, 6th of October City, Giza, Egypt

Accepted : 1/15/2015 8:27:00 PM
Abstract :
This study aims to introduce the Golden Ratio, its properties, and how it was calculated. Although, the Golden Ratio can be represented in many natural phenomena as well as human works, most of the mathematicians limit it to certain phenomena. The presentation is concerned to view the topic from a neutral perspective.

Ref : 187
Title : Modeling of Vapour and Gas Bubbles Problems Between Two-Phase Flow
Author(s) :
 Name : Selim Ali Mohammadein Address : Department of Mathematics, Faculty of Science, Tanta University,Tanta, Egypt.

Accepted : 1/15/2015 8:28:00 PM
Abstract :
Title of Talk: Modeling of Vapour and Gas Bubbles Problems Between Two-Phase Flow
The main points of Speech:
1.Deffinitions of vapour, gas, air and foam bubbles.
2.The growth of vapour bubbles during some industries.
3.The growth of gas bubbles in the biotissues of Divers, Aviators and astronauts
4.Applications of growth of vapour and gas bubbles in progress in industry and medicine respectively.
Invited Talk in Int. Conf. Math Date Allahabad Dec.2010 to 4 Jan 2011
Number of published papers in field of Bubble Mechanics are 37 paper

Ref : 186
Title : An efﬁcient tree-based algorithm for mining Association Rules with multiple minimum supports using Maximum Constraints
Author(s) :
 Name : Elsayeda mahdy elgaml Address : Computer and Automatic Control Engineering Tanta University Algharbiya, Tanta, Egypt

 Name : Elsayed A. Sallam Address : Computer and Automatic Control Engineering Tanta University Algharbiya, Tanta, Egypt

Accepted : 1/15/2015 2:30:00 AM
Abstract :
Association Rule mining is one of the most important fields in data mining and knowledge discovery. Rare association rule is one of the association rule mining challenges. It is difficult to mine rare association rules with a single minimum support based frequent pattern mining algorithms such as Apriori and FP-growth. In this paper we propose an efficient multiple support frequent pattern growth algorithm “MSFP-growth” that combines the enhancement FP-growth algorithm with multiple minimum support using max constrain. The algorithm is implemented, and it is compared to other algorithms predecessor .The results that appear in rule mining from the proposed algorithm are 100% interesting and show faster performance than other algorithms without scarifying the accuracy.

Ref : 185
Title : An Efficient Method based Codebooks for Face Detection under Partial Occlusion
Author(s) :
 Name : Mourad Ahmed Address : Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, Egypt

Accepted : 1/15/2015 2:30:00 AM
Abstract :
Automatic detection of human face is an indispensable stage toward the design of face animation, face recognition/verification, human-computer interaction (HCI) and surveillance systems which encounter actions in uncontrolled circumstances. Nevertheless, occlusion, one of the obstacles for face detection based systems, can prevent efficiency of the performance for these systems. In this paper, we propose an efficient face detection method under partial occlusion whereas codebooks are learned for the human faces that formalize the locative distribution and various appearances of facial features. The codebooks are constructed by clustering a training set of facial features parts through extracting the distinctive features of spatial locality and orientation selectivity of Gabor filters bank. The posterior probability of the facial features and its relative location with respect to the face center are stored. Furthermore, localization of the face center is performed using adopted codebooks based on generalized Hough transform in Hough image where maxima peaks are corresponding to the face location. We tested the proposed method that achieved propitious results on publicly databases which show high efficiency to the state of the art.

Keywords: Face detection, Occlusion, Codebooks, Gabor filter, Hough transform.

Ref : 184
Title : The Collapsing of Gas bubbles in the bio tissues of Divers in Decompression and after Decompression pressure stages
Author(s) :
 Name : Selim Ali Mohammadein Address : Department of Mathematics, Faculty of Science, Tanta University,Tanta, Egypt.

 Name : Asmaa ElHabashi Address : Department of Mathematics, Faculty of Science, Tanta University,Tanta, Egypt.

Accepted : 1/15/2015 2:30:00 AM
Abstract :
In this paper, the collapse of Nitrogen gas bubbles are studied in the biotissues of Divers who surface too quickly to the sea level. The mathematical model is formulated by Fick ,and concentration equations. The collapse operation is affected by tissue diffusivity, void fraction and ascent rate.The collapse of gas bubbles in the Decompression and after Decompression pressure stages is compared. The model is used to study the harmful effects of the decompression sickness (DCS) on divers as a modification of Mohammadein model.

Ref : 183
Title : Albedo Problem for Pure-Triplet Scattering in Finite Medium with Optically Smooth and Rough Surfaces
Author(s) :
 Name : Alia El-Depsy Address : Physics Department, Faculty of Science, Damietta University, Egypt.

Accepted : 1/15/2015 2:29:00 AM
Abstract :
An exact integral formulation of radiative transfer equation in a medium with optically smooth and rough surfaces, with absorbing and pure–triplet scattering phase function is developed. The resulting integral equations are solved using Galerkin approximation. The effect of optical properties of the medium and the roughness of the boundaries on the reflection and transmission coefficients are investigated. The results are calculated and compared with the available experimental and theoretical data for both smooth and rough boundaries and a good agreement is found.

Ref : 182
Title : On The Zero Attractor Of Linear Sequence Of Fibonacci Type
Author(s) :
 Name : degaichi nouar Address : departement of maths and informatic tebessa university bp 12002

Accepted : 1/14/2015 4:32:00 AM
Abstract :
in this paper we would to localise the zero attractor of a linear sequence of fibonacci type , we use the technic of the comformal mapping .

Ref : 181
Title : New 3D-scanning Method for Points Cloud
Author(s) :
 Name : Mohamed Heshmat Address : Sohag university

Accepted : 1/14/2015 4:18:00 AM
Abstract :
Recently the use of 3d scanning has greatly increased in industrial purposes,and in the field of scientific research, therefore, the needs of get the 3D points cloud of objects is extremely important.
In this paper, we present a relatively inexpensive 3D points cloud acquisition system consists of two webcams and LCD projector, based on stereo system technologies. Comparing to the traditional methods, the novelty of our method is in the nature of the projection pattern and the type of image processing associated to them. Our method uses a random squires pattern instead of using standard binary patterns made out of black and white stripes. This choice allows us to inferred corresponding points between two webcams images in easy and effective way. The proposed acquisition system was experimented by scanning different objects with different shapes and for different numbers of scanning points.
For better comparison, we apply two different projection patterns, we used random squares pattern, and uniform squares pattern. For evaluating the accuracy of 3D points cloud, a plane was fitted to the 3D points. By computing the distance from each 3D point to the plane, the RMS error between the 3D points and the plane fitting is calculated.
The experiential results show that, the random squares pattern is more accuracy and faster than the uniform squares pattern for getting 3D points cloud for scanning objects.
The software for our proposed acquisition system was devolved to generate 3D points cloud automatically and it is implemented with C++ and open software library OpenCV.

Ref : 180
Title : Mathematical Model of Conventional and New Wedge Brake Using Matlab
Author(s) :
 Name : Mostfa M. Address : Mechanical Engineering Dept., Faculty of Engineering, South Valley University, Qena-83521, Egypt

 Name : Nouby M. Ghazaly Address : Mechanical Engineering Dept., Faculty of Engineering, South Valley University, Qena-83521, Egypt

Accepted : 1/14/2015 4:22:00 AM
Abstract :
The main advantage of conventional disc brake is the high ability to dissipate the generated heat due to friction. And, its main disadvantage is that, it is not self-amplified brake. The new wedge disc brake is self-amplified disc brake in additional to its high ability to heat dissipation. Therefore, the main objective of this study is to carry out a mathematical model of conventional and new wedge brake to predict the brake dynamic behavior under different operation conditions. A theoretical model using MATLAB program is conducted to investigate the effect of the coefficient of friction and the shoe stiffness on the dynamic properties of both conventional and wedge disc brakes. It is found that the friction coefficient has a very significant effect on the dynamic properties of the braking process for conventional and new wedge brakes.

Ref : 179
Title : Fractional Laguerre Spectral Methods and Their Applications to Fractional Diﬀerential Equations on Unbounded Domain
Author(s) :
 Name : Tarek Aboelenen Address : Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

 Name : Shaaban A. Bakr Address : Department of Mathematics, Assiut University, Assiut 71516, Egypt. BCAM- Basque Center for Applied Mathemativs, Mazarredo 14, E48009, Bilbao, Spain

 Name : Hassan .M. El-Hawary Address : Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

Accepted : 1/14/2015 4:23:00 AM
Abstract :
In this article, we first introduce a Singular Fractional Sturm-Liouville problems (SFSLPs) on unbounded domain.
The associated fractional differential operators in these problems are both Weyl and Caputo type. The properties of spectral data for fractional operators on unbounded domain have been investigated. Moreover, it has been shown that the eigenvalues of the singular problems are real-valued and the corresponding eigenfunctions are orthogonal. The analytical eigensolutions to SFSLP are obtained and defined as generalized Laguerre fractional-polynomials. The optimal approximation of such generalized Laguerre fractional-polynomials in suitably weighted Sobolev spaces involving fractional derivatives has been derived. The obtained results demonstrate that the error analysis beneficial of fractional spectral methods for fractional differential equations on unbounded domains. We construct
efficient generalized Laguerre fractional-polynomials-Petrov-Galerkin methods for a class of prototypical fractional initial value problems (FIVPs) and fractional boundary value problems (FBVPs). As a numerical example,
we examine space fractional advection-diffusion equation. Our theoretical results are confirmed by associated numerical results.

Ref : 178
Title : ON A REPAIRABLE WARM STANDBY SYSTEM WITH REPAIR MACHINES
Author(s) :
 Name : Naglaa Ameen Mohamed Hassan Address : Department of Mathematics, Faculty of Science, Zagazig University, Zagazig , Egypt

Accepted : 1/13/2015 2:14:00 PM
Abstract :
In this paper, stochastic analysis of a repairable r-out-of-n system is presented. The system comprises of r subsystems A1, A2,...... and Ar arranged in series. Subsystems A1, A2,...... and Ar are r units warm standby. The system is attended by r repair machines assigned to each subsystem to repair any failed unit. Explicit expressions for mean time to system failure (MTSF), the steady-state availability, busy period of repair machines, and profit function of the system are analyzed stochastically using Kolmogorov’s forward equation method. Analytical and numerical results giving some particular values to the costs and other parameters have been obtained.

Ref : 177
Title : D-congruencnens and D-filters of p-algebras
Author(s) :
 Name : Mohammad Atallah Address : Math. Dept. Faculty of Science Tanta Univ. Tanta, Egypt

Accepted : 1/13/2015 2:15:00 PM
Abstract :
The concept of D-congruences and its characterization is introduced in p-algebras in terms of filters containing the filter of dense elements

Ref : 176
Title : Milne Problem in a Continuous Fluctuating Medium with Gaussian Statistics
Author(s) :
 Name : Mustafa M Selim Address : Theoretical Physics Research Group, Faculty of Science, Damietta University, New Damietta 34517, Damietta, Egypt

Accepted : 1/13/2015 2:15:00 PM
Abstract :
The Milne problem of radiative transfer in fluctuating stochastic medium is considered. The properties of the medium are assumed to have fluctuations described as a Gaussian field. The problem is defined and solved at …first in the deterministic case. The solution is found to depend on two correlated random variables, namely the optical space variable and the optical thickness of the medium. The joint Gaussian probability density function of these two random variables is defined and used to find the ensemble-averaged energy density. It is shown that the statistical nature of the medium leads to two different definitions of the linear extrapolation distance. These two definitions are identical in the deterministic case. Numerical results are given for the energy density and the linear extrapolation distance for different values of the scattering albedo and different values of the stochasticity parameter.

Ref : 175
Title : Dr.
Author(s) :
 Name : Mustafa M Selim Address : Theoretical Physics Group, Faculty of Science, Damietta University, New Damietta 34517, Damietta, Egypt

Accepted : 1/13/2015 2:16:00 PM
Abstract :
The Milne problem of radiative transfer in a stochastic medium is considered. The properties of the medium is assumed to have fluctuations described as a Gaussian field. The problem is defined and solved at …first in the deterministic case. The solution is found to depend on two correlated random variables, namely the optical space variable and the optical thickness of the medium. The joint Gaussian probability density function of these two random variables is defined and used to find the ensemble-averaged energy density. It is shown that the statistical nature of the medium leads to two different definitions of the linear extrapolation distance. These two definitions are identical in the deterministic case. Numerical results are given for the energy density and the linear extrapolation distance for different values of the scattering albedo and different values of the stochasticity parameter.

Ref : 174
Title : Undergraduate student in the third level at Physics dept
Author(s) :
 Name : Muhammad Osama Mousa Address : Port Said city_Eltaka elshamsia, Ali ebn abi taleb,Block 16 Flat 20

Accepted : 1/13/2015 2:16:00 PM
Abstract :
Actually,i think Math is the backbone of Physics as it can transform our ideas into equations and physical quantities that can be estimated.Thereby, we can describe the characteristics of any phenomenon at present and predict its future.From my point of view,Math is required to explain Physics and to make it meaningful.So,i want to upgrade my skills in Math by attending these courses given by professors from different universities of the world.Moreover,i wish to widen my horizons and gain new ideas by interacting with such scientific environment.

Ref : 173
Title : Results on generalized weak partial metric space
Author(s) :
 Name : Mohamed Ahmed Barakat Address : Math Department Faculty of Science Al-Azhar University Assiut Branch

 Name : Ahmed M. Zidan Address : Math Department Faculty of Science Al-Azhar University Assiut Branch

Accepted : 1/13/2015 2:16:00 PM
Abstract :
In this work, we introduce a new concept of generalized $G_{p}$-metric space and weak partial
metric spaces called $G^{w}_{p}$-metric space. The main result of our paper is prove fixed point
theorem in a complete $G^{w}_{p}$-metric space. An illustrative example is given to support our results.

Ref : 172
Title : Exp(–Ф(η))-expansion method and its application constructing the exact solutions of some nonlinear evolution equations
Author(s) :
 Name : Magda E.M. Zidan Address : Mathematics Department, Faculty of Science, P.O. Box 44519, Zagazig University, Zagazig, Egypt

Accepted : 1/13/2015 9:25:00 AM
Abstract :
The exp(–Ф(η))-expansion method is an ascending method for obtaining exact solutions for nonlinear evolution equations. In this article, we implement the exp(–Ф(η))-expansion method to build solitary wave solutions to the nonlinear Zoomeron equation . With the help of symbolic computation, provides a straightforward and powerful mathematical tool for the treatment of nonlinear evolution equations.

Ref : 171
Title : Mathematical Modelling and Fuzzy Control of active suspension system for passenger car
Author(s) :
 Name : Nouby M. Ghazaly Address : Mechanical Engineering Dept., Faculty of Engineering, South Valley University, Qena-83521, Egypt.

Accepted : 1/13/2015 9:25:00 AM
Abstract :
In recent years, using active control mechanisms for design of active suspension system has attracted considerable attention. The main concept is use an active suspension to reduce the vibration energy of the vehicle body induced by the road excitation, while keeping the vehicle stability within an acceptable limit. While much control strategies have been extensively studied in the past, consideration of fuzzy control is relatively new. This paper describes the mathematical model and fuzzy controller for active Suspension systems in order to improve ride comfort and vehicle maneuverability using MATLAB software. It is found that active suspension system improves ride comfort even at resonant frequency. In additions, the suspension travel has been reduced and tire deflection has reduced.

Ref : 170
Title : Dr.
Author(s) :
 Name : Alia El-Depsy Address : Physics Department, Faculty of Science, Damietta University, Egypt.

Accepted : 1/13/2015 9:25:00 AM
Abstract :
An exact integral formulation of radiative transfer equation in a medium with optically smooth and rough surfaces, with absorbing and pure–triplet scattering phase function is developed. The resulting integral equations are solved using Galerkin approximation. The effect of optical properties of the medium and the roughness of the boundaries on the reflection and transmission coefficients are investigated. The results are calculated and compared with the available experimental and theoretical data for both smooth and rough boundaries and a good agreement is found

Ref : 169
Title : Analytical techniques for solving the equation governing the unsteady ‡flow of a polytropic gas with time-fractional derivative
Author(s) :
 Name : Atif A. Hemeda Address : Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt

Accepted : 1/13/2015 9:25:00 AM
Abstract :
In this work, some analytical techniques viz. new iterative method with a new modification for it and homotopy perturbation method are used to solve nonlinear fractional differential equations such as the equation governing the unsteady flow of a polytropic gas with time-fractional derivative. Comparison are made between the considered techniques. The obtained results reveal that these techniques are very simple and effective and give the solution in series form which in closed form gives the exact solution also, reveal that the modified technique is simpler in its procedures and computational time than the other techniques.

Ref : 168
Title : Time Series Prediction using Box-Jenkins Models
Author(s) :
 Name : Abdslam K. Bashir Address : Sebha University-Libya

 Name : Nuri Omar Ali Al-hammali Address : Sebha University-Libya

 Name : Alsaidi M. Altaher Address : Sebha University-Libya

Accepted : 1/13/2015 9:25:00 AM
Abstract :
This study develops a standard time series model to predict the numbers of students enrolled each year to the Faculty of Science, Sebha University in Libya; using Box-Jenkins models. The appropriate model has been chosen according to several statistical criteria such as AIC, AICc and BIC. Having chosen the best model among the models used in this study, the prediction of these numbers was computed up to the year 2025. Results sound a scientific base for the development of future plans to help understand the requirements of the college and refrain from engaging the right and appropriate decisions.

Ref : 167
Title : Hedging Strategies for Exotic Options
Author(s) :
 Name : Tugcem Partal Address : Yildiz Technical University, Department of Matehematical Engineering, 34210-Davutpasa-ıstanbul-Turkey

 Name : Mustafa Bayram Address : Yildiz Technical University, Department of Matehematical Engineering, 34210-Davutpasa-ıstanbul-Turkey

Accepted : 1/13/2015 9:25:00 AM
Abstract :
In this study, we rewiev main approaches to hedging for several exotic options using standart options. In the end, we shortly discuss possible hedging approaches for various exotic options and compare static and dynamic hedging.

Ref : 166
Title : Analysis of chaotic behaviors of random dynamical systems
Author(s) :
 Name : Neslihan ozdemir Address : Yildiz Technical University, Department of Matehematical Engineering, 34210-Davutpasa-ıstanbul-Turkey

 Name : Mehmet Ali Akinlar Address : Yildiz Technical University, Department of Matehematical Engineering, 34210-Davutpasa-ıstanbul-Turkey

 Name : Mustafa Bayram Address : Yildiz Technical University, Department of Matehematical Engineering, 34210-Davutpasa-ıstanbul-Turkey

Accepted : 1/13/2015 9:26:00 AM
Abstract :
Chaotic (eg. Stability, bifurcation, oscillation) behaviors of stochastic (or random or uncertain) dynamical systems has not been fully understood problem yet. There are several different bifurcation types in the literature including pitchfork, Hopf, saddle-node, P- and D- bifurcations. In this talk we point the importance of random dynamical systems, review these bifurcation models and study bifurcation features of some significant stochastic differential equations.

Ref : 165
Title : The Exp-function method for the time fractional derivatives nonlinear Boussinesq equations
Author(s) :
 Name : òS.A.Hoda ibrahim Address : Mathematics Department, Faculty of Science, P.O. Box 44519, Zagazig University, Zagazig, Egypt

Accepted : 1/13/2015 1:10:00 AM
Abstract :
The fractional complex transform is proposed to convert the nonlinear evolution fractional order equations into integer order differential equations. In this article, He’s Exp-function method (EFM) is used to construct solitary and periodic solutions of the nonlinear evolution equation. The time fractional derivatives nonlinear Boussinesq equations is chosen to illustrate the effectiveness of this method. The EFM presents a wider applicability for handling nonlinear wave equations. Also, it is shown that the EFM, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear evolution equations.

Ref : 164
Title : Existence of periodic orbits in perturbed switching systems
Author(s) :
 Name : Hany A. Hosham Address : Department of Mathematics,Faculty of Science, Al-Azhar University, Assiut 71524, Egypt.

 Name : Soliman A. Hamd-Allahy Address : Department of Mathematics,Faculty of Science, Al-Azhar University, Assiut 71524, Egypt.

Accepted : 1/13/2015 1:09:00 AM
Abstract :
In this paper, we discuss bifurcation of periodic orbits of class of switching system with a line of discontinuity and the unperturbed periodic orbits cross the discontinuity line transversally. By means of the return map and Melinkov-like theory we prove the existence of periodic orbits and establish sufficient conditions on the number of limit cycles bifurcate via perturbed. In addition, we present analytical and numerical result of of class of 3D and 4D problem to illustrate the theory.

Ref : 163
Title : Group generated by total sextactic points of Kuribayashi quartic curves (I)
Author(s) :
 Name : Alwaleed Kamel Address : Department of Mathematics, Faculty of Science, Sohag University, 82524 Sohag, Egypt

Accepted : 1/12/2015 9:02:00 AM
Abstract :
It is known that Kuribayashi quartic curves:

C_{a}:X⁴+Y⁴+Z⁴+a(X²Y²+Y²Z²+Z²X²)=0, a∈ℂ\{-1,±2},

have total sextactic points if and only if the parameter a is a root of (a-14)P(a)=0; P(a)=a³+68a²-91a+98 (See [1]). In this paper, we describe the group generated by the total sextactic points in the Jacobian of Kuribayashi quartic when a=14 and in [2] we describe this group when a is a root of P(a).

[1] Alwaleed, K. and Sakai, F.: Geometry and computation of 2-Weierstrass points of Kuribayashi quartic curves, Saitama Math. J. Vol. 26 (2009), 67-82.
[2] Alwaleed, K.: Group generated by total sextactic points of Kuribayashi quartic curves (II). In preparation.

Ref : 162
Title : RATIONAL APPROXIMATONS FOR SOLVING CAUCHY PROBLEMS
Author(s) :
 Name : Veyis TURUT Address : Department of Mathematics, Faculty of Arts and Sciences, Batman University, Batman,Turkey

 Name : Mustafa Bayram Address : Yildiz Technical University, Department of Mathematical Engineering-34210-Davutpasa-Istanbul-Turkey

Accepted : 1/12/2015 9:02:00 AM
Abstract :
In this study, numerical solutions of Cauchy problems are considered by multivariate Padé approximations (MPA). Multivariate Padé approximations (MPA) were applied to power series solutions of Cauchy problems solved by using He’s variational iteration method (VIM). Then, numerical results obtained by using multivariate Padé approximations were compared with the exact solutions of Cauchy problems.

Ref : 161
Title : The Exp-function method for the time fractional derivatives nonlinear Boussinesq equations
Author(s) :
 Name : òS.A.Hoda ibrahim Address : Mathematics Department, Faculty of Science, P.O. Box 44519, Zagazig University, Zagazig, Egypt

Accepted : 1/11/2015 11:26:00 PM
Abstract :
The fractional complex transform is proposed to convert the nonlinear evolution fractional order equations into integer order differential equations. In this article, He’s Exp-function method (EFM) is used to construct solitary and periodic solutions of the nonlinear evolution equation. The time fractional derivatives nonlinear Boussinesq equations is chosen to illustrate the effectiveness of this method. The EFM presents a wider applicability for handling nonlinear wave equations. Also, it is shown that the EFM, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear evolution equations.

Ref : 160
Title : ON CONVERGENCE OF INTERMEDIATE ORDER STATISTICS UNDER POWER NORMALIZATION
Author(s) :
 Name : Azza Ramadan Ahmed Omar Address : 8 Panorama Al gabal alkhdar- Nasr City

Accepted : 1/11/2015 11:27:00 PM
Abstract :
We discuss the convergence of moments of intermediate order statistics under power normalization. The moments convergence is established for four p-max-stable laws according to conditions imposed on the considered distribution and on the rank sequence .

Ref : 159
Title : ON A CERTAIN TRIPLE CONSTRUCTION OF GENERALIZED MS-ALGEBRAS
Author(s) :

Accepted : 1/11/2015 11:27:00 PM
Abstract :
In this paper we introduce a certain subclass $\mathbf{GK_{2}}$ of the class of generalized $MS$-algebras. A simple triple construction of principal generalized $K_{2}$-algebras which works with pairs of elements only is given. We also characterize isomorphisms of these algebras by means of triples. Finally we introduce a notion of
congruence pairs for the class of principal generalized $K_{2}$-algebras. Then, we show that every congruence relation $\theta$ on a principal generalized $K_{2}$-algebra $L$ can be uniquely determined by a congruence pair $(\theta_{1},\theta_{2})$.

Ref : 158
Title : Laminar Free convection along a vertical wavy surface in porous media saturated by nanofluids containing gyrotactic microorganisms
Author(s) :
 Name : A. Mahdy Address : South Valley University, Faculty of Science, mathematics, Qena, Egypt

Accepted : 1/11/2015 11:27:00 PM
Abstract :
Non-similarity solution is obtained to examine the combined effect of spatially stationary surface waves and the presence of fluid inertia on free convection along a heated vertical wavy surface pointing downwards in a nanofluid saturated porous medium. In this pioneering study, it is assumed that the medium contains gyrotactic microorganisms along with nanoparticles and the surface is subjected to concentration of nanoparticles and density of motile microorganisms. The influences of Brownian motion and thermophoresis are incorporated into the model for nanofluids. The boundary-layer regime is considered where the Darcy–Rayleigh number is very large. A suitable coordinate transformation was considered to reduce the governing boundary-layer equations into non-similar. A detailed parametric study (nanofluid and bioconvection parameters) is performed to access the influence of the various physical parameters on the reduced Nusselt, reduced Sherwood and reduced microorganisms density numbers. The results of the problem are presented in graphical forms and discussed.

Ref : 157
Title : The Course Timetabling Problem of the Department of Mathematics, Cairo University
Author(s) :
 Name : Mohamed El Halaby Address : Cairo University, Faculty of Science, Department of Mathematics

Accepted : 1/11/2015 11:27:00 PM
Abstract :
In recent years, Maximum Satisfiability (Max-SAT) solvers have advanced greatly to the point where applying them to practical problems has become feasible. This paper addresses course timetabling with constraints specific to the Department of Mathematics, Faculty of Science Cairo University and how the problem can be encoded into Max-SAT.

Ref : 156
Title : Solving the Course Timetabling Problem of the Faculty of Science, Cairo University Using Max-SAT
Author(s) :
 Name : Mohamed El Halaby Address : Cairo University, Faculty of Science, Department of Mathematics

Accepted : 1/11/2015 2:26:00 AM
Abstract :
Due to the good performance of current SAT (satisfiability) and Max-SAT (Maximum
satisfiability) solvers, many real-life optimization problems such as scheduling can be solved by encoding them into Max-SAT. In this paper we tackle the course timetabling problem of the department of mathematics, Cairo University by encoding it into Max-SAT. Generating timetables for the department by hand has proven to be cumbersome and the generated timetable almost always contains conflicts. We show how the constraints can be modeled as a Max-SAT instance.

Ref : 155
Title : Estimate the maximum temperatures in the city of Sabha using Weibull Distribution
Author(s) :
 Name : Nuri Omar Ali Al-hammali Address : faculty of sciences - Sebha University – Libya

 Name : Tiyib Mekiyen Mohamed Babou Address : faculty of Education Brack - Sebha University – Libya

 Name : Amhammed Almhdi Abdallah Address : faculty of Education Brack - Sebha University – Libya

Accepted : 1/11/2015 2:27:00 AM
Abstract :
Weibull Distribution is among the mathematic roles which has been used to calculate and predict the quality control of the temperatures worldwide. The present study was conducted in Libya (Sebha city) and used data was collected from 1980-2013. Parameters shapes and location (α, β) were estimated by using three different ways as follow:
First, the moments, secondly, the likelihood and finally the simple linear regression. Among the three results obtained from those ways, likelihood showed the best and the most accurate fit to this data. Therefore, this model was chosen and used to predict possibilities of repeating the maximum temperatures in the upcoming years.

Ref : 154
Title : Nonlinear structures: Soliton-cnoidal and periodical waves in a quantum plasma
Author(s) :
 Name : Reda Eid Tolba Address : Department of Mathematics, Faculty of Science Damietta University, New Damietta 34517, Egypt

Accepted : 1/11/2015 12:01:00 AM
Abstract :
Nonlinear structures in electron-hole quantum plasma are investigated. By using the hydrodynamic and Poisson equations, a Kadomtsev-Petviashvili (KP) equation has been derived. The latter is solved using Painlevé analysis, which gives rise to different nonlinear solutions such as cnoidal, soliton, and periodical pulses. The present model is employed to explore the possible nonlinear perturbations in GaN high electron mobility transistors.

Ref : 152
Title : Generation of rogue waves by nonlinear interactions in dusty plasma
Author(s) :
 Name : W. M. Moslem Address : Department of Physics, Faculty of Science, Port Said University, Port Said 42521, Egypt

 Name : R. E. Tolba Address : Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

 Name : N. A. El-Bedwehy Address : Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

 Name : S. K. El-Labany Address : Department of Physics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

Accepted : 1/10/2015 1:46:00 PM
Abstract :
The generation of rogue waves associated with the electrostatic perturbation in dusty plasmas containing both electrons and ions beams is investigated. Using a perturbation method, the basic set of fluid equations is reduced to a nonlinear Schröödinger equation (NLSE). The latter describes the electrostatic potential amplitude associated with the propagation of envelope wavepackets. The rational solution of the NLSE is presented, which proposed as an effective tool for studying the rogue waves in Jupiter.

Ref : 151
Title : Generation of rogue waves by nonlinear interactions in dusty plasma
Author(s) :
 Name : Waleed Moslem Moslem Address : Department of Physics, Faculty of Science, Port Said University, Port Said 42521, Egypt

 Name : Reda Eed Tolba Address : Department of Mathematics, Faculty of Science Damietta University, New Damietta 34517, Egypt

Accepted : 1/10/2015 1:47:00 PM
Abstract :
The generation of rogue waves associated with the electrostatic perturbation in dusty plasmas containing both electrons and ions beams is investigated. Using a perturbation method, the basic set of fluid equations is reduced to a nonlinear Schröödinger equation (NLSE). The latter describes the electrostatic potential amplitude associated with the propagation of envelope wavepackets. The rational solution of the NLSE is presented, which proposed as an effective tool for studying the rogue waves in Jupiter.

Ref : 150
Title : On The Smooth Skin Surface Design of Molecules
Author(s) :
 Name : S A Mohamed Address : Engineering Mathematics and Physics Dept., Faculty of Engineering, Zagazig university

 Name : Sherif Radwan Address : Engineering Mathematics and Physics Dept., Faculty of Engineering, Zagazig university

 Name : M.A. Abd Elmegeed Address : Engineering Mathematics and Physics Dept., Faculty of Engineering, Zagazig university

Accepted : 1/9/2015 4:44:00 PM
Abstract :
Modeling and visualizing molecular surfaces is very important in bioinformatics. These surfaces play an essential role in better understanding of the chemical and physical properties of molecules.
In this article, the molecular skin surface is considered since it is a continuously smooth surface described as a piecewise-defined algebraic equation.
Starting from a finite set of weighted points, representing the atoms of a molecule, an algebra is described that generates an infinite family of spheres such that the envelope of the spheres is called the skin, and the subset of R3 bounded by the envelope is called the body of the set of weighted points.
We describe a discrete framework and present algorithms constructing the body and the skin. Then present a framework for constructing the skin as a collection of quadratic patches. A mixed complex which is an intermediate complex between the Delaunay triangulation and the Voronoi diagram of the weighted points is used to divide the skin into patches. We present two different algorithms for meshing the skin surfaces with guaranteed topology, applying the algorithms on some proteins to prove their efficiency.

Ref : 148
Title : On Some Curves of AW(k)-Type in Pseudo-Galilean 3-Space
Author(s) :
 Name : M. Khalifa Saad Address : Math. Dept., Faculty of Science, Sohag Univ., 82524 Sohag, Egypt

 Name : H. S. Abdel-Aziz Address : Math. Dept., Faculty of Science, Sohag Univ., 82524 Sohag, Egypt

Accepted : 1/8/2015 3:31:00 PM
Abstract :
This paper is devoted to the study of Frenet and Bertrand curves of AW(k)-type in the equiform differential geometry of the 3-dimensional pseudo-Galilean space. We show that according to the values of the equiform curvatures, Bertrand curves are circular helices or isotropic circles of the pseudo-Galilean 3-space. Also, we obtain some important conditions between the equiform curvatures of these curves.

Ref : 147
Title : On The New Collocation Method For Integro Differential Equations With Fractional Term
Author(s) :
 Name : Aydin Secer Address : Yildiz Technical University, Department of Matehematical Engineering, 34210-Davutpasa-ıstanbul-Turkey

 Name : Sertan Alkan Address : Mustafa Kemal University, Department of Mathematics, Hatay, Turkey

Accepted : 1/8/2015 9:33:00 AM
Abstract :
Fractional order integral and differential equations has become significantly important and useful subject due to their broad range of applications in science and engineering in the recent years. Therefore, finding reliable and efficient solutions methods for fractional order equations along with the fast implementation techniques are invaluable for the researchers in this area. The main purpose of this paper is to obtain approximate solutions of fractional order linear Fredholm type integro-differential equations having some boundary conditions. The Sinc collocation technique has been employed in the computations and efficiency and strength of the method has been proven on some special examples by comparing the obtained results with the exact solutions. Caputo type fractional order derivative has been used.

Ref : 146
Title : Theory And Application Of The Enzyme Kinetics
Author(s) :
 Name : Mustafa Bayram Address : Yildiz Technical University, Department of Matehematical Engineering, 34210-Davutpasa-ıstanbul-Turkey

 Name : Aydin Secer Address : Yildiz Technical University, Department of Matehematical Engineering, 34210-Davutpasa-ıstanbul-Turkey

Accepted : 1/8/2015 9:34:00 AM
Abstract :
The application of the computer algebra techniques to the enzymes kinetic allows the reduction of a complex enzymes kinetics system with an initial fast transient into a simpler system. The simplified system yields insights into the behavior of the enzymes kinetic reaction, and analytical approximations can be obtained to determine its kinetic parameters.

Therefore,the study of the theoretical model for the enzyme reaction system is of interest for the industrial application of the biocatalyst. Theoretical modelling of the enzyme kinetics and the reactors can be used to find optimal operation points and to increase our knowledge about the process. The model usually contains information on the particular biocatalytic reactions.

Ref : 145
Title : Hardy Type Inequalities on Time Scales With Applications
Author(s) :
 Name : Samir H. Saker Address : Department of Mathematics, Mansoura University

Accepted : 1/8/2015 7:51:00 AM
Abstract :
The increasing study of inequalities is a reflection of their use in every branch of mathematics. The development of the famous Hardy inequality (in both its discrete and continuous forms) during the period 1906-1928 has its own history. Contributions of mathematicians other than Hardy, such as Landau, Littlewood, Pólya, Schur, Riesz, Copson, Leindler, Bennett and others are importnat here. Most of these results are given for the discrete inequalities. In this talk I will describe some of these contributions and present the time scale versions of these inequalities on time scales which as special case contains the discrete and continuous inequalities and give a unification of their proofs. Some Open problems will be presented for interested readers.

Ref : 144
Title : Modified Projective Combination-Combination Synchronization Among Four Chaotic Fractional-Order Complex Systems
Author(s) :
 Name : Gamal M. Mahmoud Address : Department of Mathematics, Faculty of Science, Taibah University, Al-Madeenah Al-Munawwarah, PO Box 344, Kingdom of Saudi Arabia

 Name : Mansour E. Ahmed Address : Department of Mathematics, Faculty of University College in Aljamoum, Umm Al-Qura University, Makkah 2064, Kingdom of Saudi Arabia.

Accepted : 1/8/2015 7:50:00 AM
Abstract :
The modified projective combination-combination synchronization among four chaotic fractional-order complex systems is investigated. These systems which contain complex variables have unique solution. We represented the scheme of modified projective combination-combination synchronization among four chaotic fractional-order complex systems. The projective and anti combinationcombination
synchronization are discussed as special cases of the modified projective combination-combination synchronization. An example is studied to illustrate this kind of synchronization analytically as well as numerically.

Ref : 143
Title : Towards Simple and Optimized Simulation for SAW Devices
Author(s) :
 Name : Moataz Mostafa Elsherbini Address : Cairo, Egypt

 Name : Mohamed Fahim Elkordy Address : cairo, Egypt

 Name : Aly Mohamed Gomaa Address : Cairo, Egypt

Accepted : 1/8/2015 2:36:00 AM
Abstract :
Surface acoustic wave (SAW) are waves that travel along the surface of a material exhibiting elasticity. These types of waves have found diverse applications in consumer and highly professional electronic devices and systems. This was possible above all due to the fact that they can perform different functions in the frequency range from 10 MHz to several GHz. Electronic devices employing SAWs typically use interdigital transducers to convert acoustic waves to electrical signals and vice versa. The present paper attempts to review a simplified research work done modeling and simulation of SAW delay line with identical and uniform apodization transducers. The Impulse Response model is selected as a computational model, and PTC mathematics computer aided design software is employed as a modeling tool for the simulation of the SAW device. Also, modeling results of an IF SAW filter device functioning at a center frequency of 70 MHz studied and presented then compared with two commercial devices. The results obtained in this work provide an adequate basis for understanding the parameters effects and to aid in the optimization processes of delay lines and BPF based upon these effects.

Ref : 142
Title : A note on Jordan triple higher *-derivations on semiprime rings
Author(s) :
 Name : Mohammad Nagy Daif Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

 Name : Osama Hamed Ezzat Address : Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

Accepted : 1/7/2015 6:23:00 AM
Abstract :
We extend the notions of Jordan higher derivation and Jordan triple higher derivation to rings with involution by introducing the following notions: Let $\mathbb{N}_0$ be the set of all nonnegative integers and let $D=(d_i)_{i\in \mathbb{N}_0}$ be a family of additive mappings of a $\ast-$ring $R$ such that $d_0=id_R$, $D$ is called a \emph{Jordan higher $\ast-$derivation} (resp. a \emph{Jordan triple higher $\ast-$derivation}) of $R$ if $d_n(x^2)=\sum_{i+j=n}d_i(x)d_j(x^{{\ast}^i})$ (resp. $d_n(xyx)=\sum_{i+j+k=n}d_i(x)d_j(y^{{\ast}^i})d_k(x^{{\ast}^{i+j}})$) for all $x,y \in R$ and each $n\in \mathbb{N}_0$. It is shown that the notions of Jordan higher $\ast-$derivations and Jordan triple higher $\ast-$derivations on a 6-torsion free semiprime $\ast-$ring are coincident.

Ref : 141
Title : On the mode of increase for entire functions of several complex matrices in hyperspheres
Author(s) :
 Name : M. Abul-Ez Address : Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

 Name : M. Abdalla Abul-Dahab Address : Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

Accepted : 1/7/2015 6:23:00 AM
Abstract :
In this paper, we study some extended results of integral functions of several complex matrices in hyperspherical regions. The order and type of entire functions of several complex matrices hyperspherical regions are considered. Also, we show, by examples, that the resulting bounds for increase are attainable.

Ref : 140
Title : HPPDFIM-HD: Transaction Distortion and Connected Perturbation Approach for Hierarchical Privacy Preserving Distributed Frequent Itemset Mining over horizontally-partitioned Dataset
Author(s) :
 Name : Fuad Ali Mohammed Al-Yarimi Address : Al-Andalus University, Sanaa , Yemen

Accepted : 1/7/2015 6:23:00 AM
Abstract :
Many algorithms have been proposed to provide privacy preserving in data mining. These protocols are based on two main approaches named as: the perturbation approach and the Cryptographic approach. The first one is based on perturbation of the valuable information while the second one uses cryptographic techniques. The perturbation approach is much more efficient with reduced accuracy while the cryptographic approach can provide solutions with perfect accuracy. However, the cryptographic approach is a much slower method and requires considerable computation and communication overhead. In this paper, a new scalable protocol is proposed which combines the advantages of the perturbation and distortion along with cryptographic approach to perform privacy preserving in distributed frequent itemset mining on horizontally distributed data. Both the privacy and performance characteristics of the proposed protocol are studied empirically.

Ref : 139
Title : Waves Generated By Nonlinear Interactions based On Kadomtsev-Petviashvili Equation And Stabilization Of Explosive Instability
Author(s) :
 Name : Hamdy Ibrahim Abdel-Gawad Address : Mathematics Department-Faculty of Science Cairo university

Accepted : 1/6/2015 6:41:00 AM
Abstract :
Abstract
Multi-waves are generated through direct or indirect interactions of ba-sic traveling waves. These nonlinear interactions of waves are suggested via nonlinear combinations and bilinear transformations respectively. The method used here generalizes the unied method proposed very recently by the author. It is shown that interactions of basic waves which are measured experimentally in a uid could help in interpreting phenomena
complexity. Further, waves blow up locally (local instability) or they un-dergo an explosive instability may be inspected through indirect interac-tions. A mechanism for line-lumps formation is viewed as linear indirect interaction of soliton wave. Further the solutions show that lumps waves packet that are composed of light and dark lumps, which are dual (in a pattern similar to the Peregrine solitons) or they are not uniformly dis-tributed in space. Also, wave- lattices result in the the interaction of two solitary, periodic or of snoidal elliptic waves. Waves generated via three wave-like-patterns and solitary waves are also illustrated. A stabilization mechanism of spatial (temporal)explosive instability is suggested. By ac-counting for the drag forces through wave-wave interactions, it is found that these spatial- (or temporal) instabilities are quenched every where (or at any finite time-values).

Ref : 138
Title : The Approximate Solutions of Stochastic Reaction-Diffusion Equations with Neumann Boundary Conditions
Author(s) :
 Name : Mahmoud A. Ali Address : Department of Mathematics, Faculty of Science, Mansoura University,Egypt

 Name : E. M. Elabbasy Address : Department of Mathematics, Faculty of Science, Mansoura University,Egypt

 Name : Wael W. Mohammed Address : Department of Mathematics, Faculty of Science, Mansoura University,Egypt

Accepted : 1/6/2015 2:39:00 AM
Abstract :
In this talk we consider a class of system of stochastic reaction-diffusion equations. Our goal of this talk is to approximate the solutions of
\begain{equation}
\partial _{t}u_{i}=\mathcal{D}_{i}\Delta u_{i}+\mathcal{F}%
_{i}(u_{1},u_{2})+\sigma _{\varepsilon }\partial _{t}W,\text{ for }i=1,2.
\end{equation by
\begain{equation}
u_{i}(t,x)=b_{i}(t)\mathcal{+}error,

where
\begain{equation}
b_{i}(t)=\mathcal{F}_{i}(b_{1},b_{2})+\mathcal{G}_{i}(b_{1},b_{2}).

with $\mathcal{G}_{i}(b_{1},b_{2})$ is a new term which comes from the
effect of the noise and depend on the degree of $\mathcal{F}_{i}.$ also, we
are interested on a systems that have nonlinear polynomial only and give
applications to Chemistery the Brusselator model for the Belousov-Zhabotinsky reaction and to Bio-Mathematics.the Competition Model.

Ref : 137
Title : On Classifications of Rational Sextic Curves
Author(s) :
 Name : Mohammed Abuelhassan Saleem Address : Sohag University, Sohag, Egypt.

Accepted : 1/6/2015 2:40:00 AM
Abstract :
In this paper, we extend the Yangs list of reduced sextic plane curves to rational irreducible projective plane curves of type (6,3,1).
Yang in [1] gave a list of sextic curves. He showed the existence of the configurations of these curves. Here, we extend to give a complete list of irreducible sextic curves.
J.-G. Yang: Sextic curves with simple singularities. Tohoko Math. J., 48 (1996), 203-227.

Ref : 136
Title : The Approximate Solutions of Stochastic Reaction-Diffusion Equations with Neumann Boundary Conditions
Author(s) :
 Name : E. M. Elabbasy Address : Department of Mathematics, Faculty of Science, Mansoura University,Egypt

 Name : Wael W. Mohammed Address : Department of Mathematics, Faculty of Science, Mansoura University,Egypt

 Name : Mahmoud. A . Ali Address : Department of Mathematics, Faculty of Science, Mansoura University,Egypt

Accepted : 1/6/2015 2:41:00 AM
Abstract :
In this talk we consider a class of system of stochastic reaction-diffusion equations. Our goal of this talk is to approximate the solutions of
\begain{equation}
\partial _{t}u_{i}=\mathcal{D}_{i}\Delta u_{i}+\mathcal{F}%
_{i}(u_{1},u_{2})+\sigma _{\varepsilon }\partial _{t}W,\text{ for }i=1,2.

by
\begain{equation}
u_{i}(t,x)=b_{i}(t)\mathcal{+}error,

where
\begain{equation}
b_{i}(t)=\mathcal{F}_{i}(b_{1},b_{2})+\mathcal{G}_{i}(b_{1},b_{2}).

with $\mathcal{G}_{i}(b_{1},b_{2})$ is a new term which comes from the effect of the noise and depend on the degree of $\mathcal{F}_{i}.$ also, we are interested on a systems that have nonlinear polynomial only and give applications to Chemistery the Brusselator model for the Belousov-Zhabotinsky reaction and to Bio-Mathematics.the Competition Model.

Ref : 135
Author(s) :
 Name : Mahmoud Afifi Address : Assiut- Faculty of Computers and Information - IT Department

 Name : Mostafa Korashy Address : Assiut University - Faculty of Computers and Information - IT Department

Accepted : 1/6/2015 2:41:00 AM
Abstract :
Human robot interaction is an evolving area of research in the past few years, it deals with how humans can interact with, send data to, or receive data from robots. One of the major obstacle in the fields way is how the robot can obtain the depth information of the surrounding objects. Few years ago, Microsoft has released a depth sensor that compute the depth information using IR rays. Many researches are conducted to control robot using depth sensors (Microsoft Kinect, Asus Xition) [1][2][3][4]. Although depth sensors are considered to be low cost, it may be unavailable for many users. In this work we develop a zero-cost system for controlling robots (iRobot) with a web-cam and just a red color on your hands. Our system requires no extra devices or hardware or other complex technologies. The system depends on color and object detection, segmentation, morphological operations and some activity recognition basics. Results section demonstrates very good results compared to those provided by depth sensors.

Ref : 134
Title : Towards the establishment of a family of distributions that best fits any data set
Author(s) :
 Name : H. M. Barakat Address : Department of Mathematics, Faculty of Science, Zagazig University, Zagazig-Egypt

Accepted : 1/5/2015 12:25:00 PM
Abstract :
Adding new parameters to expand families of distributions, to exhibit added flexibility
or to construct covariate models is well known technique. In this talk, a review of
the most important expanded families is presented, with some comparisons. We detect
essential features of the family that best fits any data set. In view of these features, a
new method is proposed for constructing families that best fit any data. Two of such
families are suggested, which are more tractable than many other known families and
they possess very wide range of the indices of skewness and kurtosis. Moreover, each
of these families contains all the possible types of distribution functions (df’s). Finally,
a successful application to a life data set is presented.

AMS 2010 Subject Classification: 62-07; 62E10; 62F99.

Key Words: Mixture distribution; full family of distributions; data modeling; skewness;
kurtosis.

Ref : 133
Title : Generalized Laguerre matrix polynomials
Author(s) :
 Name : Raed S. Batahan Address : Department of Mathematics, Faculty of Science, Hadhramout University, 50511, Mukalla, Yemen

Accepted : 1/5/2015 2:58:00 AM
Abstract :
The main object of the present paper is to introduce and study the generalized Laguerre matrix polynomials for a matrix that satisfies an appropriate spectral property. We prove that these matrix polynomials are characterized by the generalized hypergeometric matrix function.
An explicit representation, integral expression and some recurrence relations in particular the three
terms recurrence relation are obtained here. Moreover, these matrix polynomials appear as solution of a differential equation.

Ref : 131
Title : Hybrid Genetic Algorithm for Constrained Nonlinear Optimization Problems
Author(s) :
 Name : Sara M. 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 : A.A. Mousa Address : Department of Basic Engineering Science, Faculty of Engineering, Shebin El-Kom Menoufia University, Egypt

Accepted : 1/4/2015 7:03:00 AM
Abstract :
In this paper we present a hybrid optimization algorithm for solving constrained nonlinear optimization problems. The hybrid algorithm is a combination between one of the intelligence techniques (genetic algorithm) and chaos theory to enhance the performance and to reach the optimal solution. The proposed algorithm is operates in two phases: in the first one, genetic algorithm is implemented to solve nonlinear optimization problem. Then, in the second phase, local search referred to chaos theory is introduced to improve the solution quality and find the optimal solution. The results of numerical studies have been demonstrated the superiority of the proposed approach to finding the global optimal solution.

Ref : 130
Title : Nonparametric Test for UBACT Class of Life Distribution Based on U-Statistic
Author(s) :
 Name : Shaaban Abu-Youssef Address : Department of Mathematics, Faculty of Science, Al- Azhar University, Cairo, Egypt

Accepted : 1/4/2015 7:03:00 AM
Abstract :
Based on U-statistic, testing exponentially versus used better than aged in convex tail ordering (UBACT) class of life distribution is introduced for complete and censored data. Convergence of the proposed statistic to the normal distribution is proved. Selected critical values are tabulated for sample sizes 5(5)80 for complete data, and (61)(10)(201) for censored data: The Pitman asymptotic relative efficiency of the proposed tests to the other classes is studied. A numerical examples in medical science demonstrates practical application of the proposed test .

Ref : 129
Title : Constant scaler curvature of Eight curve surface in E5
Author(s) :
 Name : M.M. Wageeda Address : Department of Mathematics, Faculty of Science, Aswan University, Egypt

 Name : Mohamed Abdelbary Ali Address : Faculty of Science, Department of Mathematics, Aswan University, Egypt

Accepted : 1/4/2015 12:04:00 AM
Abstract :
In this paper we present a local study of a Eight curve surface in E 5 generated by Equiform motions of Eight curve. We describe partially such surfaces with some assumption on its curvature

Ref : 128
Title : Some Properties of an ellipse in E5 generated by equiform motion
Author(s) :
 Name : M. M. Wageeda and Abdelrahman.I.Mohamed Address : Department of Mathematics, Faculty of Science, Aswan University, Egypt

Accepted : 1/3/2015 1:06:00 PM
Abstract :
In this paper we consider the equiform motion of an ellipse in Euclidean space E5 . We study and analyze the corresponding kinematic two dimensional surface under the hypothesis that its scalar curvature K is constant ,finally we will give an example.

Ref : 127
Title : Computer Aided òSystem For Breast Cancer Diagnosis in Ultrasound Images
Author(s) :
 Name : Noura M. A. Abdelwahed Address : Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522,Egypt

 Name : M. E. wahed Address : Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522,Egypt

 Name : Mohamed Meselhy Eltoukhy Address : Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522,Egypt

Accepted : 1/1/2015 4:00:00 AM
Abstract :
Breast cancer is the top cancer in women both in the developed and the developing world. Most of breast cancer is diagnosed in very late stages. Therefore, early detection remains the cornerstone of breast cancer treatment to improve breast cancer control and survival. Developing computer aided diagnosis system (CAD) can help radiologists in their decision. In this paper, we proposed a CAD system to segment and classify the breast cancer lesions in ultrasound images. The system is using marker controlled watershed transformation technique to identify the region of interest (ROI). Then, wavelet transform is applied to extract a set of features, in addition to gray level co-occurrence matrix (GLCM) and statistical features. The classification step determines whether the ROI is normal or focal lesion. Finally, focal lesion is classified as benign or malignant. Support vector machine (SVM), K-nearest neighbour (KNN) and classification via regression are used to achieve the classification task. The proposed method is validated using 10 folds cross validation and the obtained results were encouraging.

Ref : 126
Title : Stochastic Switching Systems With lag:Optimal Control Problems
Author(s) :
 Name : Charkaz Aghayeva Address : Department of Industrial Engineering, Anadolu University, Turkey

Accepted : 12/31/2014 1:20:00 AM
Abstract :
This talk is concerned with the optimal control problem of switching systems. Behaviour of the system is described by the collection of delayed stochastic differential equations which initial conditions depend on its previous state.The constraints on the system is defined by the functional equality on the end of each interval.
Necessary condition of optimality in form of Maximum Principle is established. Afterwards, using Ekeland’s Variational Principle the necessary condition of optimality for optimal control problem with constraints is obtained.

Ref : 125
Title : Computer Aided Diagnosis For Breast Cancer Detecting in Ultrasound Image
Author(s) :
 Name : Noura M. A. Abdelwahed Address : Ismailia - suez canal University- faculty of computer science and informatic

 Name : M. E wahed Address : Ismailia - suez canal University- faculty of computer science and informatic

 Name : Mohamed Meselhy Eltoukhy Address : Ismailia - suez canal University- faculty of computer science and informatic

Accepted : 12/31/2014 6:08:00 AM
Abstract :
Abstract:
Breast cancer is the top cancer in women both in the developed and the developing world. Unfortunately, most of breast cancer is diagnosed in very late stages. Therefore, early detection in order to improve breast cancer outcome and survival remains the cornerstone of breast cancer control. Developing computer aided diagnosis system (CAD) can help radiologist in their decision. In this paper, we proposed a CAD system to segment and classify the breast cancer in ultrasound images. The system is using marker controlled watershed transformation technique to identify the region of interest (ROI). Then, wavelet transform is applied to extract set of feature with gray level co-occurrence matrix (GLCM) and statistical features. The classification step determines whether the ROI is normal or focal lesion. Finally, focal lesion is classified as benign or malignant. Support vector machine (SVM), K-nearest neighbour (KNN) and classification via regression are used to achieve the classification task. The proposed method is validated using 10 folds cross validation and the obtained results were encouraging.

Key words:-
Breast cancer, Image segmentation, Wavelet transform, Feature extraction, Breast ultrasound image.

Ref : 124
Title : Identification of a One-Diode Model Parameters of PV Devices From Nameplate Information Using Particle Swarm and Least Square Methods
Author(s) :
 Name : Mohamed Ahmed M. Azab Address : Yanbu Industrial College- Yanbu Al-Sinaiyah- KSA , PO 30436

Accepted : 12/31/2014 1:21:00 AM
Abstract :
In this paper, a simple method is proposed and verified to estimate the parameters of a one-diode model of PV modules based on particle swarm optimization (PSO) and least square (LS) algorithms. The proposed method requires only the PV module nameplate ratings at three points on the I-V curve at Standard Test Conditions (STC): short circuit (0,ISC), open circuit (VOC,0) and maximum power (VMPP,IMPP). The proposed method is tested on three different types of PV modules (poly-crystalline, mono-crystalline and thin film) of different ratings. A comparison between actual experimental data curves and the predicted PV characteristics is carried out for different operating conditions. As the one-diode model parameters of PV modules are unknown to us, the PSO algorithm has been tested 100 times (each of 200 iterations) to determine the average value of the model parameters. The corresponding relative percentage error between measured and predicted PV electrical parameters did not exceed 8 % in the worst case, while the elapsed CPU time of the PSO algorithm was less than 7 sec. Thus, the results proved the validity and effectiveness of the method to identify with good accuracy the parameters of a PV module using only the limited datasheet information. According to this study on the three PV modules, it has been observed that the LS method can fail to find a solution without a proper selection of the initial values. The limitation of the LS method has been overcome by utilizing the final PSO solution as initial condition for the LS nonlinear curve fitting algorithm using the same three operating points from the PV nameplate. With the LS method (initialized by PSO results) accurate solution is also obtained. So, the proposed parameter estimation approach has been validated by two techniques PSO and LS. The main contribution of this approach is its suitability for rapid prototyping of PV systems with a high precision without the need to install an experimental test rig so that the developing time and cost are reduced.

Ref : 123
Title : The Zeros Of Polynomials By Using The Trace
Author(s) :
 Name : Mohammad H Al-Hawari Address : Irbid National University-Science and Information Technology College-Mathematics department

Accepted : 12/31/2014 1:22:00 AM
Abstract :
we find new bounds on the zeros of polynomials based on the trace. We will used the fact that similar matrices have the same trace and by using some inequalities for the trace. Inequalities involving differences of absolutes values of the zeros of p are also given.

Ref : 122
Title : Relativistic Rotating Bodies with Surface Layer
Author(s) :
 Name : Salah Haggag Address : Department of Basic Sciences, The Egyptian Russian University, Cairo, 11829 Egypt

Accepted : 12/30/2014 2:10:00 AM
Abstract :
Senovilla family for a subclass of Petrov type-D stationary axisymmetric differentially rotating perfect fluids is considered. A scheme is presented to construct from a solution an interior of a rotating compact body satisfying energy conditions, and with a boundary of vanishing pressure. The equatorial plane of the body is a surface layer due to a jump in the second fundamental form. However, unlike previous results, the body is free from curvature singularities.

 Ref : 121 Title : Existence result for quasilinear elliptic degenerate systems with nonlinearity in the gradient and L¹ data: application to chemotaxis and angiogenesis systems