Quantitative Frontiers Exploring Applications of Mathematics and Statistics

This book contains select chapters presented at the 17^th & 18th International Conference of the Institute of Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC) on Mathematical Sciences for Advancement of Science and Technology (MSAST 2023 & 2024), held at Salt Lake, Kolkata, West Bengal, India, from 21 to 23 December 2023 & 2024. Contributed by researchers from the USA, Russia, Norway, Sweden, Nigeria, and India, it discusses recent research in the intersection of mathematics with various disciplines such as physics, computer science, statistics, and engineering. It focuses research on interdisciplinary topics such as the mathematical principles of color theory and music theory to cutting-edge applications in cybersecurity, superconductivity, and fluid dynamics. The book studies how to solve complex problems and proposes innovative solutions by applying mathematical tools like Lie algebra, set-valued functions, and topological surgery theory. This interdisciplinary approach fosters deeper understanding of phenomena like leakage resilience in secret sharing schemes, the structure of the periodic table, and the behavior of nanofluids.

Chapter 1: Laboratory Gravitational Waves: Sources and Detection.- Chapter 2: Color Theory: Basic Color Models 10.0 Basic Music Theory5.0 - Harmonics.- Chapter 3: Possible Extension of Linguistics, Semiology, and Geometric Lie Algebra Foundation of Atomic Structure and Periodic System to Superconductivity.- Chapter 4: Color Theory: Basic Color Models 12.0  Basic Music Theory 7.0 -  Basic Time Hypothesis.- Chapter 5: Original Lie Algebra Behind Real Structure, Models, and Interactive Computer System of Chemical Elements, Compounds, and Compositions.- Chapter 6: Secret Sharing Schemes for General Access Structures with Leakage Resilience.- Chapter 7: Approximation of Functions in Generalized Hölder Space by Means of Picard Singular Integral.- Chapter 8: Numerical Analysis on the Transport Process of Heat and Mass on MHD Nanofluid Flow Including Chemical Reaction and the Slip Effects at the Boundary of a Stretching Surface.- Chapter 9: Fibonacci Generation of Exact Distribution of Fibonacci Summands.- Chapter 10: Riemann Integral of Set-Valued Functions on Time Scales.- Chapter 11: Real Projective Space with Topological Surgery Theory.- Chapter 12: Fixed Point Analysis of a Homogeneous Isotropic Turbulent Flow.- Chapter 13: Symmetric and Asymmetric Axial and Directional Models and Bivariate Extensions Thereof.- Chapter 14: Classification and Regression Error Bounds for Inhomogeneous Data with Applications to Wireless Networks.- Chapter 15: Probabilistic Bounds for Data Storage with Feature Selection and Undersampling.

Avishek Adhikari, Ph.D., M.Sc. (Gold Medalist), is a Professor in the Department of Mathematics at Presidency University, Kolkata. He has received the President of India Medal, ISCA Young Scientist Award, and the NANUM Fund from the International Mathematical Union. He earned his Ph.D. from the Indian Statistical Institute. He is the founding Secretary of the Institute for IMBIC with branches in Sweden and Japan, and served as Treasurer of the Cryptology Research Society of India. He was the Eastern Zonal coordinator for M.Sc. and Ph.D. scholarship exams by the National Board of Higher Mathematics and has held post-doctoral positions at INRIA-Rocquencourt, France, and as a Visiting Scientist at Linkoping University, Sweden, and the ISI. He has authored six textbooks and edited two research monographs, including five publications with Springer. With over 75 publications and contributions to twelve research projects, including international collaborations, he has also supervised ten Ph.D. students and focuses his research on Algebra, Graph Theory, and Cryptology.

Ashis SenGupta is an Emeritus Scientist of Council of Scientific and Industrial Research, India, at IIT-Kharagpur, and serves as an Advisor/Consultant at the ISI, Kolkata. He is an Adjunct Professor at Augusta University, Georgia, a Distinguished Professor at the Middle East Technical University, Turkey and Advisor, Analythium, Canada; and Chairman/Expert of various Committees, SERB-DST, India. He has been a Visiting Professor worldwide including at Stanford University and University of Wisconsin-Madison, University of California, USA; Concordia University, Canada; also at Belgium, Sweden, Germany, and Israel. He holds a Ph.D. from Ohio State University and has guided over 17 Ph.D. scholars in India, Turkey, and the USA. With more than 120 publications, including 13 books and volumes, a former Editor-in-Chief of Environmental and Ecological Statistics and JISPS, he has led three major projects funded by the Government of India and has received numerous awards, including two Lifetime Achievement awards and the Distinguished Statistician award. He served as VP of the International Forum for Interdisciplinary Mathematics, President of the International Indian Statistical Association (India chapter)/, elected President of the Mathematical Sciences section of the Indian Science Congress in 2011-2012 and Elected Member of International Statistical Institute. He is a Fellow of the National Academy of Sciences, India; ISPS; AIIA; and American Statistical Association –currently the only statistician in India with this recognition.

Erik Trell, retired as Professor Emeritus from Linköping University, was an Associate Professor in Internal Medicine and Cardiology at Malmö General Hospital, University of Lund, Sweden, from 1968 to 1982. He earned his Ph.D. on pulmonary hypertension in 1972. From 1973 to 1982, he established the new Department of Preventive Medicine at Malmö General Hospital, gaining international recognition for his innovative work on alcohol disorders, prediabetes, tobacco-related cancer, inclusion of the female