لمشاهدة رابط المؤتمر اضغط هنا
المؤتمر الدولي الثاني في الرياضيات وامن المعلومات
Invited Speakers
Prof. AbdelWahaab, M. AlAzhar University, Egypt
Prof. AlHammadi, A. University of Bahrain, Bahrain
Prof. Arun K. Pati, Quantum Information and Computation Group, India
Prof. Asaad, M., Cairo University, Egypt
Prof. Azween Abdullah, Universiti Teknologi Petronas, Malaysia
Prof. Badawi, Ayman, Faculty of Science, American Univ of Sharjah, Sharjah, UAE
Prof. Baumann, G. Faculty of Basic Sciences, German University in Cairo
Prof. Bayram, Mustafa, Yildiz Technical University, İstanbul, Turkey
Prof. Bougouffa, S. Taibah University, Madinah, Saudi Arabia
Prof. Doha, E. Cairo University, Egypt
Prof. Doma, S. Alexandria Uni. Egypt
Prof. Eleuch, H. Texas A&M University, College Station Texas, U.S.A.
Prof. ElSayed, A. M. A. Alexandria Uni. Egypt
Prof. ElSirafy, I. H. Alex. University, Egypt
Prof. ElTawil, M. A. Cairo Uni. Egypt
Prof. Englert, B.G. National University of Singapore, Singapore
Prof. Fanchini, F. F. Universidade Estadual de Campinas, Brazil
Prof. Ficek, Z. The National Centre for Mathematics and Physics, Saudi Arabia
Prof. Ghosh, P. N. Jadavpur University, Kolkata700 032, India
Prof. Helal, M. A. Cairo University, Egypt
Prof. Hussein, T. Cairo University, Egypt
Prof. Ibrahim, H. Universiti Utara Malaysia – Malaysia
Prof. Jasim, K. E. University of Bahrain, Bahrain
Prof. Karimipour, V. Sharif Univ. of Technology, Tehran, Iran
Prof. Kilicman, A. University Putra, Malaysia
Prof. Mahmoud Gamal M., Assiut University , Assiut 71516, Egypt.
Prof. Mandal, S. Santiniketan, India & ICTP, Trieste, Italy
Prof. Messina, A. Universiti Palermo Via Archirafi, Italy
Prof. Obada, A.S. F. AlAzhar University, Egypt
Prof. Omar, Y. ISEG – Technical University of Lisbon, Portugal
Prof. Rasulova M. Yu., MIMOS BHD, Technology Park Malaysia, Malaysia
Prof. Rihan, F. A. UAE University, Al Ain, UAE
Prof. Saif, F. QuaidiAzam University, Pakistan
Prof. Sebaweh Abdalla, M. King Saud University, Riyadh, Saudi Arabia
Prof. Tunc, C. Yuzuncu Yil University, Turkey
Prof. Wakkad, M.M. Physics Department, Sohag University, Egypt
Prof. Wellens, Thomas, Uni Freiburg, Germany
Prof. Zenkour, A. M., King AbdulAziz University, Saudi Arabia
Prof. Zhang, J.S. East China Jiaotong University, China
Prof. Zhu, Shiyao Department of Physics, Hong Kong Baptist University, China
Prof. Zyczkowski, K. Jagiellonian University, Cracow Poland, Warsaw Poland
أسماء المشاركين فى المؤتمر من البلدان المختلفة
Name  Number  Country  N 
Zyczkowski, Karol .  1  Poland  1 
Zhanat, U.
Tamara, Z. Tamara, Z.

3  Kazakhstan  2 
Firdous I.
Sobiya, M. O.

2  Karachi  3 
Zenkour, A. M.
Zakari, A. H. Moneim, I. A. Ficek, Z. Abdalla M. Sebawe Alghamdi, M. A. Bougouffa, S

7  Saudi Arabia  4 
Weissb, G.
Thomas, W. 
2  Germany  5 
Widodo, B.
Usadha, R.

2  Indonesia  6 
Tishabaev, I. A.
Madina, H. 
2  Uzbekistan  7 
Mandal, S.
Johnson, P. S.

2  India  8 
ObengDenteh, W.  1  Ghana  9 
Shatanawi, W.
AlKumzari, A. 
2  Jordan  10 
Rhoades B. E.  1  U.S.A.  11 
Ponomaryov, V.  1  Mexico  12 
Jasim, K. E.
Al Abbas, M. A. AlHammadi, A.S.A. ALMannai, M.

4  Bahrain  13 
Rihan, F. A.
Abdullah, H. Ayman Baduy. 
3  UAE  14 
Tunc, C.
Bayram, M. Emiroglu, I. 
3  Turkey  15 
Saoudi, K.
Salah, B. Sahli, B. Rebiai, B. Rahmani, F. L. Mohamed, Haiour Messelmi, F. Merghadi, F. Mennouni, A. Kibeche, K. Haouam, K. Haddad, T. Abdelkader, L. Berrabah, F.

7  Algeria  16 
Awwad, E.  1  Hungary  17 
Ita, B. I.

1  Nigeria  18 
Ibrahim, H.
Abdullah, Azween Eljamal, E. A.

3  Malaysia  19 
Lee, Jaekyu

1  Korea  20 
Saleh S.
Mahgoob, A. Hudeish A. Y. Bamatraf, M. A.

4  Yemen  21 
Saif, F.

1  Pakistan  22 
Abbas, S. E.
Azab, M. Abdelhakem, M. Abdelkareem,M.S.M. AbdEllah, A. H. AbdElmaged, H. AbdElmougod, G. A. AbdElRady, A.S. AbdElWahed, W. F. AboKahla, D.A.M. AbouElheggag, N.A. AbulDahab, M. AbulElkasim, H. I. AbulEz, M. Ahmed Essam A. Ahmed, M. E. ALAidroos, N. M. AlMutairi, A. Altwqi, S. M. Atito, A. Badr, E. M. Bakray, H. M. Baumann, G. Diab, A. K. Doma, S. El Melegy, M. Elatonc, M. E. A. ElAzab, M.S. ElBassiouny, A.F ElHawary, H.M. ELLabany, S .K. ElMahgoub, M.G. Elnaggar, A. M. ElOwny H. ElSanousy E. ElSayed, A.M.A ElShami K.A. ELShamy E .F. ElShekhipy A. A. ElSheshtawy T.S. ElTawil M. A. Ewis, K. M.

43  Eygpt  23 
المؤتمر الدولي الأول في الرياضيات وامن المعلومات 
قام قسم الرياضيات بتظيم المؤتمر الدولى الاول له بعنوان
International Conference on Mathematics and Information Security
ICMIS November 13^{th} – 15^{th} , 2009
http://icmis.sohaguniv.edu.eg/
Organized by
Mathematics Department, Faculty of Science,
Sohag University, Sohag, Egypt
With the collaboration with
The Egyptian Mathematical Society and the Egyptian Academy of Scientific
Research and Technology
2009
Foreword
The main program of the conference ran for the whole three days. The plenary session consists of ten lectures delivered by our nine invited speakers preceded by an interesting opening presentation by our keynote speakers. The opening session started with 10minutes talk by Prof. Osman AlMaghraby, the dean of College of Science. This followed by an opening statement and a welcome by Prof. AbdelAty, Chairperson of the Scientific Committee. Dr. Ahmed AboElMagd, head of Mathematics Department, gave a presentation about the Mathematics, its objectives, programs, accomplishments, and difficulties.
Most of the parallel session speakers came from universities and colleges with international affiliations . The number of presented papers was 70 in this conference.
We would like to thank all participants, for their scientific contributions. Many thanks go also to all attendees; students, teachers and guests. We hold very special appreciation and gratitude to the honored patrons of the meeting for their sponsorship and generous support. Special warm thanks to all members of the Committees who worked very hard to bring the event to the high standard that it had achieved.
Out of the many diligent and motivated souls, we would like to mention the Egyptian Mathematical Society and the Egyptian Academy of Scientific Reseach and Technology. Also we would like to thank Prof. Mohamed Sayed Ebraheem, President of Sohag University and Prof. Osman AlMaghraby, the Dean of Faculty of Science, who helped in all aspects of the organization of ICMIS.
General Consultant
Prof. M. AbdelAty
ICMIS Committees
Conference’s honor chairperson
Prof. Osman AlMaghraby, Dean of the College of Science, Sohag University
Conference’s chairperson
Prof. Ahmed AboElMagd Soliman, Chairman of the Department of Mathematics, Faculty of Science, SohagUniversity.
Organizing Committee
Chairman: Prof. M. AbulEz
Members: Dr. M. AboElhassan, Dr. N. Amin, Dr. M. Refat Abdel,Salam, Dr. H Saif, Dr. M AboElmaged, Dr. S Abass, Dr. A. Hamed, Dr. M. Khalifa, Dr. S. Sanosy, Dr. M. Hebish, Dr. S. Osman, Dr. A. Farrag, Dr. M. Taha Rashed
Scientific Committee
Chairman: Prof. Mahmoud AbdelAty
Members: Prof. Zeinhom Kishka and Prof. Mahmoud AbulEz, Prof. Ahmed AboElmagd, Dr. M. AboElhassan and Dr. H. Saif and Dr. Salah Abbas, Dr. Ahmed Hamed Abdellah
Program
Chairman: Prof. Zeinhom Kishka
Conference’s Secretary
Dr. Mohamed AboElhassan
List of Participants:
Authors  Title  Address 
AbdelShafy F. Obada  Measurements of Entanglement and Quantum Information  Department of Mathematics, Faculty of Science, AlAzhar University, Cairo, Egypt 
M. Ridza Wahiddin  Linear atomic quantum coupler  ^{1}Information Security Cluster, MIMOS Berhad, Technology Park Malaysia, 57000 Kuala Lumpur 
Barry C. Sanders

Monogamy and polygamy of entanglement for qudits

Institute for Quantum Information Science, University of Calgary, 2500 University Drive N.W., Calgary, Alberta T2N 1N4, Canada 
Andreas Buchleitner  Open system entanglement dynamics  Quantum optics and statistics Institute of Physics, Albert Ludwigs University of Freiburg, HermannHerderStr. 3, D79104 Freiburg, Germany 
Salah Badawi Doma  Applications of the Variational Monte CarloMethod to FewBody Quantum Systems  Applied Mathematics and Computational Physics, Faculty of Science, Alexandria University, MoharramBay, Alexandria, Egypt. 
Z. Ficek  Continuous variables approach to entanglement creation in atomic ensembles  The National Centre for Mathematics and Physics, KACST, Riyadh, Saudi Arabia 
P. Leach

Algebraic Aspects of Evolution Partial Differential Equations Arising in Financial Mathematics  Department of Mathematics and Statistics, University of Cyprus, Nicosia, Cyprus & University of KwaZuluNatal, Durban, Republic of South Africa 
M. A. Helal

Tsunamis, Generation And Mathematical Modeling  Mathematics Department, Faculty of Science, CairoUniversity, Giza 12613, Egypt. 
Jamal Dougla
Rachida Faid 
Teaching Math in English through Technology from a Constructivist view  University of BahrainBahrain Teachers’ College (BTC) USA 
A.S.A AlHammadi

Some results for thirdorder differential equations with extension to higher oddorder equation  Mathematics Department, College of Science, Bahrain University, 32038 kingdom of Bahrain 
Shaaban Khalil

The Puzzle of Dark Matter

Center for theoretical physics, The British university in Egypt 
Salim A. Messaoudi  General decay results in some Timoshenkotype systems  Department of Math. & Stat., KFUPM, Dhahran31261, Saudi Arabia 
^{1}Abdulkafi Mohammed Saeed, ^{2}Norhashidah Hj. Mohd Ali  On the Convergence of the Preconditioned Group Rotated Iterative Methods In The Solution of Elliptic PDEs  School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Pulau Pinang. Universiti Sains Malaysia 
M. AbulEz^{‑1}, D. Constales^{2} and A. AlAhmadi^{3}  On the representation of monogenic functions by the product bases of polynomials  ^{1}Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt. 
E.A.Zanaty, Ashraf Afifi, Zaki Taha  Smartbased Expert System for Selecting Drugs Considering Patient is Medical History and PreKnowledge for Drugs Interactions  Computer science Dept., College of Computers and Information systems, Taif University, Saudi Arabia.
^{ } 
M. Brokate and Mukhayo Rasulov  The Cauchy problem for BBGKY hierarchy of quantum kinetic equations with coulomb potential  Munich Technical University, Boltzmannstr 3, 85748 Garching Germany 
*Mohamed B. Elgindi, Hatem Kouriachi & David Peschman  On the Numerical Recovery of Elastic Parameters for Some Biological Soft Tissue  Director of the National Science Foundation Site for undergraduate research, SUREPAM, at the University of WisconsinEau Claire, USA 
Z. Zainuddin, M. Mahmod A. Shuaib  Modeling the independency factor and its effect on the preferred force of the Social Force Model in emergency and nonemergency situations 
1,2School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Pulau Pinang 
Faisal A. A. ElOrany

Linear atomic quantum coupler

Cyberspace Security Laboratory, MIMOS Berhad, Technology Park Malaysia, 57000 Kuala Lumpur, Malaysia 
Mahmadyusuf Yunusi  Model of Numbers Tree  Tajik National University, Rudaki Str. 17, 734025, Dushanbe, Tajikista 
A. A. Bakr

Influence of Dufour effect and chemical reaction on the unsteady MHD free convection from vertical surfaces in porous media considering variable permeability  Department of Mathematics, Faculty of Science, AlAzhar University, Assuit, Egypt 
Abdelmalek Kouadri and Abdallah Namoune

The Identification of Pollution Sources Using a PLS Linear Regression Technique 
Applied control laboratory, University of Boumerdes, Av. De l’independence, 35000 Boumerdes, Algeria,
Manchester Business School, University of Manchester, M13 9PB, Manchester, UK, 
Leader Navaei Keshavar  On Couple Thresholds of Optimal Identification of Two Independent Markov Chains Distributions  Department of Mathematics, Faculty of Science, Payame Noor University,( PNU), Iran 
Ahmed H. Soliman

Common fixed point theorems for generalized uniformly Lipshitzian semigroups on metric spaces with uniform normal structure  Department of Mathematics, Faculty of Science, AlAzhar University, Assiut 71524, Egypt

Mostefa NADIR

Linear Approximation For Singular Integrals Equations

Laboratory of Pure and Applied Mathematics Department of Mathematics, University of Msila
28000 ALGERIA 
M. AbdelAty

Entanglement sudden death and sudden birth of qubits in a dissipative environment  Mathematics Department, Faculty of Science, Sohag University, Egypt, and Bahrain University, Bahrain 
E.A.Zanaty

An Expert System for Drugs Selection Based on DrugsInteractions Knowledge  College of Computers & information systems, Taif university, KSA. 
Awad Khir Eldin

Performance Evaluation for Egyptian International airports using Data Envelopment Analysis (DEA)  
^{a} Mohamed S.Osman, ^{b}Mohamed AbdElattay, ^{c}Hamiden A.Khalifa  A Combined Interactive Approach for Solving Multiobjective Nonlinear Programming Problems  Department of Mathematics, Higher Technological Institute, Ramadan 10^{th} City Cairo, Egypt. 
Omar M.Saad, Ashraf A.Darwish, Nadia M. Nassar, Walaa M.Zaki  Human Recognition by Face edge and Fingerprint

Faculty of science, Helwan university

A. Shehata ¤

A Study of pl(m; n)Kummer Matrix Function of
Two Complex Variables under Differential Operator 
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt. 
A. Aldubaibi, M.Laila, and E. AlShemas.

The optimal scale assessment to be applicable to the educational institutes at Kuwait and Gulf countries  The Public Authority for Applied Education and Training , College of Basic Education Idailiya Block4 ,P .O.,23167 Safat ,13092 Kuwait

G. M. Mahmoud  On complex nonlinear dynamical systems  Department of Mathematics, Faculty of Science,Assiut University, Assiut 71516, Egypt. 
Nasar AbdelAal  Information Geometry  Department of Mathematics, Faculty of Science,Assiut University, Assiut 71516, Egypt 
Awad A. khir ElDin

Performance Evaluation for Egyptian International airports using Data Envelopment Analysis (DEA)  Cairo University, Institute of Statistical Studies and Research (ISSR)

Abdel Baset A. Mohamed

Death forever for nonclassicality of quantum states when the system interacting with its own reservoir

Faculty of Science, Assiut University, Assiut, Egypt

Arjun K. Gupta

Modeling Skewness Wpti3 Applications in Ebpdemiqlogu and Finance

Department of Mathematics and Statistics Bowling Green State University
Bowling Green, Ohio 434030223 USA 
^{1}Amin AlOkour , and ^{2}AbdulWali Ajlouni,  Schrödinger Equation of Dissipated Finite Potential Barrier, Using Fractional Calculus  ^{1}Department of Applied sciences, Husun College, Balqa University, Husun, Jordan 
AbdulWali Ajlouni  Fractional Calculus Tools in Exploring Theoretical Radiation Physics  Applied Physics Department, Tafila TechnicalUniversity, Tafila Jordan 
_{Hegazy M. Zaher}^{a}_{, Atef M. Abd Elmoneim}^{b}_{, Ramadan A. Zein Aldein}^{c}_{, Awad A. khireldin}^{d}  Performance Evaluation for Egyptian International airports using Data Envelopment Analysis (DEA)  
^{a}Ali Wagdy Mohamed,^{b }Hegazy Zaher,^{c} Motaz Korshid  A Particle Swarm Approach for Solving Stochastic Optimization Problems  ElharamGizaCairoEgypt 
Fawzi Abdelwahid 
A Taylor Method Applied To Fractional Differential Equations of Order  Department of Mathematics, Faculty of Sciences, University of Garyounis,
Benghazi, Libya 
M. S. Metwally, M. T. Mohamed and A. Shehata

On HermiteChebyshev Matrix Polynomials

Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516,
Egypt 
M. S. Metwally, M. T. Mohamed and A. Shehata  Chebyshev Matrix Polynomials, Matrix Differential Equations and Their Properties  Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516,
Egypt 
Mahmadyusuf Yunusi  Modeling of Numbers Tree and its application  Tajik National University, Rudaki Str. 17, 734025, Dushanbe, Tajikistan 
S.M. Tashpulatov

Number of ThreeParticle Bound States and Structure Of Essential Spectra of the Energy Operator of TwoMagnon System in A Isotropic Ferromagnetic Impurity Heisenberg Model  Institute of Nuclear Physics of Uzbek Academy of Science,Tashkent,Ulugbek.

Mohamed A. ElGebeily^{1} Donal O.Regan^{2} Salim Messaoudi1 1

Type I Operators and their Application to the Approximation of Linear and Nonlinear Singular Differential Equations

Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261
2Department of Mathematics National University of Ireland Galway, Ireland 
Gamal M. Mahmoud^{(a)}, Emad E. Mahmoud^{(b)}  Synchronization of chaotic complex nonlinear systems with uncertain parameters  (a)Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt 
R. A. Mohamed and S. M. AboDahab

Influence of Thermal Radiation and Heat Generation on MHD Micropolar Fluid Flow past a Vertical Plate in Slipflow Regime in the Presence of Chemical Reaction  Maths. Dept., Faculty of Science, Qena 83523,Egypt,

Y. Abd elmaboud^{*,1}, Kh.S. Mekheimer** and A. I. Abdellateef***  Couplestress fluid flow and heat transfer in a channel with peristalsis  Mathematics Department, Faculty of Science, AlAzhar University (Assiut Branch), Assiut, Egypt. 
A. M. Elaiw and A. M. Shehata  Application of model predictive control to dynamic economic dispatch with emission  Department of Mathematics, Faculty of Science, AlAzhar University (Assiut Branch), Egypt 
M. Suleiman  Teaching Math and Science: A Global Perspective  California State UniversityBakersfield, USA 
AbdulWali Ajlouni and Yacoub S. Almasa’efah  Fractional Calculus Tools in Exploring Theoretical Radiation Physics  Department of Applied Physics, Tafila TechnicalUniversity, Tafila, Jordan. Applied Physics Department, Tafila Technical University, TafilaJordan 
S. M. AboDahab

Thermal Shock Problem of Generalized Magnetothermoelasticity for an Infinitely Long Annular Cylinder with Variable Thermal Conductivity and two Relaxation Times  Mathematics Department, Faculty of Science, SouthValley University, Qena, Egypt

Essam O. AbdelRahman  Automatic Stability Analysis for LotkaVolterra System Using Maple  Institute of Computer Science II, University Bonn, Römerstr.164, 53117Bonn, Germany. 
R. A. Mohamed^{*} and S. M. AboDahab^{**}  Influence of Thermal Radiation and Heat Generation on MHD Micropolar Fluid Flow past a Vertical Plate in Slipflow Regime in the Presence of Chemical Reaction  Mathematics Department, Faculty of Science, SouthValley University, Qena, Egypt

Seyed Ali Kazemipour,
Mahdi Teimouri, 
On the Tests for Uniformly Convergence of Series of Functions  Mathematics & Computer sciences department, MSc, Islamic Azad UniversityAliabad katool Branch, Iran 
Sergei R. Sverchko  Algebraic Theory Of Dna Recombination.  Novosibirsk State University, Novosibirsk, Russi 
M. R. A. Moubarak a, A. S. Abdel Rady^{ b}, S. Z. Rida^{ b } and A. K. A. Mohammed ^{b}  Solution of Fractional Singular Control Systems by Using Homotopy Perturbation Method  Mathematics Department, Faculty of Science, ElMinia University, ElMinia, Egypt., South Valley University, Qena, Egypt. 
Z. M. G. Kishka, S. Z. Radi, and M. AbulDahab  On The p and qAppell Matrix Function  Department of Mathematics, Faculty of Science,South Valley University, Qena 83523, Egypt. 
A. S. Abedel Rady^{ (a)}, S. Z. Rida^{ (b)}, F. A. Mohammed^{(c)}  Recurrence relations between solutions of some elliptic problems in Ndimensional Euclidean space  Math. Department, faculty of science, South valley university, Qena, Egypt 
Hussam AlRabai’ah
AbdulWali Ajlouni 
FractionalCalculus Diffusion Equation  Applied Physics Department,
Tafila Technical University, Tafila Jordan 
Abdullah M.S. Ajlouni
AbdulWali Ajlouni 
Another Perturbation Theory: Fractional Quantization  Department of Applied sciences, Husun College, Balqa Applied University, Irbid Jordan, 
Yhia A. AbdEltwab, H. S. AbdelAziz, A. AbdelNafeh  On Line Element With Rotational Symmetry  Department of Mathematics, Faculty of Science, Minia University, Egypt, Minia., Sohag University, Egypt, Sohag. 
^{a}Ali Wagdy Mohamed,^{b }Hegazy Zaher,^{c} Motaz Korshid  A Particle Swarm Approach for Solving Stochastic Optimization Problems  Department of Operations Research, Institute of Statistical Studies and Research Cairo University.Egypt. 
Mohammad Almahameed 
Maximum Principles for Nonhomogeneous Elliptic System  Department of Mathematics, Irbid NationalUniversity, Irbid, Jordan 
F. M. Hady^{a} and M. Abdallah^{b}  MHD unsteady mixed convection flow in the stagnation region of a vertical plate in porous medium with Heat generation  Department of Mathematics, Faculty of Science, Assiut University, 
A. Mahdy

Effect of chemical reaction and heat generation or absorption on double–diffusive convection from a vertical truncated cone in porous media with variable viscosity  Mathematics, Faculty of Science, South ValleyUniversity, Qena, Egypt.

Ayad M. Shahoot  Heat Flow along Infinite hollow Cylinder Using Maple  Head of Physics Department, Faculty of Arts & Sciences, Mergib UniversityLibya 
A. M. AbdAlla and S. Refay  Magnetothermoelastic problem in rotating nonhomogeneous orthotropic hollow cylinder under the hyperbolic heat conduction model  Mathematics Department, Faculty of Science, TaifUniversity, K. S. A 
Nasser Metwally  Entanglement and information transfer protocol between two qubits  Math. Dept. Faculty of science, South valley University, Egypt and University of Bahrain, Kingdom of Bahrain 
M. R. Girgis, T. M. Mahmoud and A. M. Allaqany  A method for the least cost multicast routing with Bandwidth and EndtoEnd delay constraints based on genetic algorithm  South Valley University, Egypt

Mohammed ElSoghyer Ateto  Entanglement and Spin Squeezing of the Nonlinear TavisCummings Model Mediated by a Binomial Field  Math. Dept. Faculty of Science at Qena, Suoth Valley University 83523 Qena, Egypt 