Advances in Mathematics and Computer Science Vol. 1

Authors

Dr. Xingting Wang, (Editor)
Assistant Professor, Department of Mathematics, Howard University, Washington, USA.

Short Biosketch

Tony Spiteri Staines
Department of Computer Information Systems, University of Malta, MSIDA MSD 2080, Malta.
Krasimir Yordzhev
Faculty of Mathematics and Natural Sciences, South-West University, 2700 Blagoevgrad, Bulgaria.
Jaykov Foukzon
Israel Institute of Technology, Haifa, Israel.
Elena Men'kova
All-Russian Research Institute for Optical and Physical Measurements, Moscow, Russia.
P. Domínguez
F.C. Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio, Col. San Manuel, C.U., Puebla Pue., 72570, México.
A. Hernández
F.C. Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio, Col. San Manuel, C.U., Puebla Pue., 72570, México.
Mohamed Abdelsabour Fahmy
Faculty of Computers and Informatics, Suez Canal University, New Campus‬, 4.5 Km, Ring Road, El Salam District, 41522 Ismailia, Egypt‬ and Jamoum University College, Umm Al-Qura University, Alshohdaa 25371, Jamoum, Makkah, Saudi Arabia.
Anahit Chubaryan
Department of Informatics and Applied Mathematics, Yerevan State University, Armenia.
Sergey Sayadyan
Department of Informatics and Applied Mathematics, Yerevan State University, Armenia.
Ali Muhammad Ali Rushdi
Department of Electrical and Computer Engineering, King Abdulaziz University, P.O.Box 80204, Jeddah, 21589, Kingdom of Saudi Arabia.
Mohamed Abdul Rahman Al-Amoudi
Department of Electrical and Computer Engineering, King Abdulaziz University, P.O.Box 80204, Jeddah, 21589, Kingdom of Saudi Arabia.
Tian-Quan Yun
School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, 510641, P.R. China.

Synopsis

This book covers brief areas of mathematics and computer science. Authors’ contribution includes in aspect of complex systems, matrix vector transition net, modeling, Petri nets, colored Petri nets, symbolic modeling, Bitwise operations, integer representation of sets, exponential latin square, Exponential Sudoku matrix, G¨odel encoding, Russell’s paradox, standard model, Henkin semantics, inaccessible cardinal, Fatou set, simple and multiple connected components, Dual reciprocity boundary elemental method, shape optimization, design sensitivity analysis, golden-section search algorithm, neutrosophic goal geometric programming algorithm, proof complexity, Binomial and multinomial modeling, periodic function, fixed point theorem, Banach contractive mapping theorem,  periodic g-contractive mapping theorem, Shape optimization, design sensitivity, implicit differentiation, anisotropic structures etc. This book contains various materials suitable for students, researchers and academicians in the field of mathematical as well as computer science.

Chapters

  • Chapter 1
    A Matrix Vector Transition Net Implementation
    Tony Spiteri Staines
  • Chapter 2
    Exponential Latin square, exponential Sudoku matrix and bitwise operations
    Krasimir Yordzhev
  • Chapter 3
    There is No Standard Model of ZFC and ZFC2
    Jaykov Foukzon, Elena Men'kova
  • Chapter 4
    Examples of Simply and Multiply Connected Fatou Sets for a Class of Meromorphic Functions
    P. Domínguez, A. Hernández
  • Chapter 5
    DRBEM Sensitivity Analysis and Shape Optimization of Rotating Magneto-Thermo-Viscoelastic FGA Structures Using DRBEM-GSS and DRBEM-NGGP Algorithms
    Mohamed Abdelsabour Fahmy
  • Chapter 6
    On the Proof Complexities of Strongly Equal Non-classical Tautologies
    Anahit Chubaryan, Sergey Sayadyan
  • Chapter 7
    Recursive Computation of Binomial and Multinomial Coefficients and Probabilities
    Ali Muhammad Ali Rushdi, Mohamed Abdul Rahman Al-Amoudi
  • Chapter 8
    A New Definition of Limit of Periodic Function and Periodic g-Contractive Mapping at Infinity
    Tian-Quan Yun
  • Chapter 9
    The Effect of Anisotropy on the Structure Optimization Using BEM-GSS and BEM-NGGP Algorithms
    Mohamed Abdelsabour Fahmy

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Cover for Advances in Mathematics and Computer Science Vol. 1
Published
July 4, 2019

Details about the available publication format: Chapter 1: PDF

ISBN-13 (15)
978-81-934224-1-0

Details about the available publication format: Chapter 2: PDF

ISBN-13 (15)
978-93-89246-18-6

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