Table Of ContentSpringer Proceedings in Mathematics & Statistics
Taher Abualrub
Abdul Salam Jarrah
Sadok Kallel
Hana Sulieman Editors
Mathematics
Across
Contemporary
Sciences
AUS-ICMS, Sharjah, UAE, April 2015
Springer Proceedings in Mathematics & Statistics
Volume 190
Springer Proceedings in Mathematics & Statistics
This book series features volumes composed of selected contributions from
workshops and conferences in all areas of current research in mathematics and
statistics, including operation research and optimization. In addition to an overall
evaluation of the interest, scientific quality, and timeliness of each proposal at the
hands of the publisher, individual contributions are all refereed to the high quality
standards of leading journals in the field. Thus, this series provides the research
community with well-edited, authoritative reports on developments in the most
exciting areas of mathematical and statistical research today.
More information about this series at http://www.springer.com/series/10533
Taher Abualrub Abdul Salam Jarrah
(cid:129)
Sadok Kallel Hana Sulieman
(cid:129)
Editors
Mathematics Across
Contemporary Sciences
AUS-ICMS, Sharjah, UAE, April 2015
123
Editors
Taher Abualrub SadokKallel
Department ofMathematics andStatistics Department ofMathematics andStatistics
American University of Sharjah American University of Sharjah
Sharjah Sharjah
UnitedArab Emirates UnitedArab Emirates
AbdulSalam Jarrah and
Department ofMathematics andStatistics
American University of Sharjah Laboratoire Painlevé
Sharjah UniversitédeLille 1
UnitedArab Emirates Lille
France
Hana Sulieman
Department ofMathematics andStatistics
American University of Sharjah
Sharjah
UnitedArab Emirates
ISSN 2194-1009 ISSN 2194-1017 (electronic)
SpringerProceedings in Mathematics& Statistics
ISBN978-3-319-46309-4 ISBN978-3-319-46310-0 (eBook)
DOI 10.1007/978-3-319-46310-0
LibraryofCongressControlNumber:2016955689
MathematicsSubjectClassification(2010): 62P06,35A99,05B20,55M30,94C99,60A06
©SpringerInternationalPublishingSwitzerland2017
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Preface
This volume presents peer-reviewed contributions covering different areas of
mathematics and its applications. Many of these articles were presented at the
secondInternationalConferenceonMathematicsandStatistics,whichwasheldon
April2–5,2015attheAmericanUniversityofSharjahintheUnitedArabEmirates
(UAE). This conference was jointly organized by AUS and the American
Mathematical Society. It was attended by over 220 participants from around the
world.
The main objective of the conference, which is held every 5 years, is to offer a
forum where researchers and scientists working in all fields of mathematics and
statistics,andfrombothacademiaandindustry,cancometogether,exchangeideas,
andlearnaboutrecentdevelopmentsinmathematicalresearch.Theconferencealso
aimsatpromotingtheimageofmathematicsandmathematicalresearchintheUAE
and the Gulf region.
In addition to keynote lectures delivered by renowned mathematicians and
parallel sessions in all areas of mathematics and statistics, the scientific program
of the conference included special sessions in the areas of “commutative algebra
and co-algebras”, “designs, codes, and graphs”, “mathematical applications in
biology and medicine”, “mathematical finance and probability”, “number theory”,
and“topologyandgeometry”.Thesespecial sessions attracted ahostofspecialists
from all five continents. Keynote lectures were delivered by Gunnar Carlsson
(Stanford University), Samad Hedayat (University of Illinois at Chicago), and
Edriss Titi (Texas A&M). A short address was also given by Richard A. Brualdi
(University of Wisconsin, Madison) as the representative of the American
Mathematical Society.
Theauthorsofthefinecontributionsinthisvolumearemathematicianswhoare
working in or have collaborative ties with mathematicians in the Gulf region. This
testifies to the rapid advances in mathematical research that the region is experi-
encing and to the enormous importance bestowed on academia during the last two
decades.
The American University of Sharjah (AUS) is a leading institution of higher
education in the UAE. It was founded in 1997 by His Highness Sheikh Dr. Sultan
v
vi Preface
binMuhammadAlQasimi,amemberoftheSupremeCounciloftheUAEandruler
ofSharjah.Despitebeingyounginage,AUSisacclaimedthroughouttheregionfor
its academic excellence and multicultural campus life. Its faculty members come
from more than 50 countries while its students hail from more than 90 countries.
This conference was sponsored by the American Mathematical Society, the
Mediterranean Institute for the Mathematical Sciences, and Wiley publishing.
We warmly thank all contributors to this volume and all participants who made
this conference a real success.
Sharjah, United Arab Emirates Taher Abualrub
May 2016 Abdul Salam Jarrah
Sadok Kallel
Hana Sulieman
Contents
The Lusternik-Schnirelmann Category for a Differentiable Stack.. .... 1
Samirah Alsulami, Hellen Colman and Frank Neumann
Centrosymmetric, and Symmetric and Hankel-Symmetric Matrices.... 17
Richard A. Brualdi and Shi-Mei Ma
Partially Independent Random Variables.... .... .... .... ..... .... 33
Costanza Catalano and Alberto Gandolfi
Sobol Sensitivity: A Strategy for Feature Selection .... .... ..... .... 57
Dmitry Efimov and Hana Sulieman
Basis Independence of Implicitly Defined Hamiltonian Circuit
Dynamics. .... .... .... .... ..... .... .... .... .... .... ..... .... 77
Jon Pierre Fortney
On a New Class of Variational Problems .... .... .... .... ..... .... 91
Hichem Hajaiej
A Scientific Tour on Orthogonal Arrays .... .... .... .... ..... .... 111
A.S. Hedayat
Hoffman’s Coclique Bound for Normal Regular Digraphs,
and Nonsymmetric Association Schemes. .... .... .... .... ..... .... 137
Hadi Kharaghani and Sho Suda
A Suspension Bridge Problem: Existence and Stability . .... ..... .... 151
Salim A. Messaoudi and Soh Edwin Mukiawa
An Interpolation-Based Approach to American Put Option Pricing.... 167
Greg Orosi
Stable Homotopy Groups of Moore Spaces... .... .... .... ..... .... 177
Inès Saihi
vii
viii Contents
Notes on Quasi-Cyclic Codes with Cyclic Constituent Codes. ..... .... 193
Minjia Shi, Yiping Zhang and Patrick Solé
Factorization of Computations in Bayesian Networks:
Interpretation of Factors .... ..... .... .... .... .... .... ..... .... 207
Linda Smail and Zineb Azouz
Optimal Drug Treatment in a Simple Pandemic Switched
System Using Polynomial Approach .... .... .... .... .... ..... .... 227
Abdessamad Tridane, Mohamed Ali Hajji and Eduardo Mojica-Nava
On Carathéodory Quasilinear Functionals for BV Functions
and Their Time Flows for a Dual H1 Penalty Model for Image
Restoration ... .... .... .... ..... .... .... .... .... .... ..... .... 241
Thomas Wunderli
About the Editors
Taher Abualrub is Professor of Mathematics at the American University of
Sharjah. He received his Master and Ph.D. degrees in Mathematics from the
University of Iowa, USA, in 1994 and 1998, respectively. In 1998 he also joined
theAmericanUniversityofSharjah(AUS)asAssistantProfessorintheDepartment
ofMathematicsandStatistics.Hiscurrentresearchinterestsincludeerrorcorrecting
codes,DNAcomputing,wavelettheory,andcontroltheory.Heservesasareviewer
for several scientific journals including Math Review, IEEE Transactions on
Information Theory, Applied Discrete Mathematics, and Journal of the Franklin
Institute, and has published over 45 refereed journal articles and conference pro-
ceedings papers.
Abdul Salam Jarrah is Professor of Mathematics at the American University of
Sharjah (AUS) in the United Arab Emirates. Before joining the AUS, he was a
senior research scientist at the Virginia Bioinformatics Institute at Virginia Tech,
USA.HereceivedhisPh.D.inMathematicsfromNewMexicoStateUniversityin
2002. His current research interests include discrete dynamical systems, computa-
tional algebra, and their applications in biology, especially the modeling and
simulationofbiologicalsystems.Hehasmadevaluablecontributionstothesefields
throughmanypublicationsininternationaljournals.Healsoservesasareviewerfor
several scientific journals including Mathematical Biosciences, Bulletin of
Mathematical Biology, and IEEE Transactions on Computational Biology.
SadokKallel holdsaPh.D.inMathematicsfromStanfordUniversity(1994)anda
Bachelor’s degree inElectrical Engineeringfrom Michigan State University. Heis
currently a faculty member at the American University of Sharjah and a research
fellowwiththe“LaboratoirePainlevé”attheUniversityofLille1inFrance,where
he was a faculty member from 1999 to 2011. His main research interests are in
algebraic and differential topology, with a focus on applications to nonlinear
analysis and mathematical physics. He is the director of the “Mediterranean
InstitutefortheMathematicalSciences”inTunis,Tunisia,andthemanagingeditor
for the journal GSMD (Graduate Student Mathematical Diary).
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