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Applications + Practical Conceptualization + Mathematics = fruitful Innovation

Applications + Practical Conceptualization + Mathematics = fruitful Innovation
Author: Robert S. Anderssen
Publisher: Springer
Total Pages: 278
Release: 2015-10-11
Genre: Technology & Engineering
ISBN: 4431553428

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This book is a collection of papers presented at the conference “Forum Math-for-Industry 2014” for which the unifying theme was “Applications + Practical Conceptualization + Mathematics = fruitful Innovation” in October 2014. This epigram encapsulates the dynamics of the process that takes an application through to an innovation. Industrial mathematics can be viewed as the causal engine that implements the epigram by taking an Application such as input and convolving it with a mixture of Practical Conceptualization and Mathematics to generate a fruitful Innovation as output. The book illustrates various aspects of the two-way interaction between applications and their association highlighting how practical conceptualization assists with the linking of the question that encapsulates the current application to the relevant mathematics. The contents of this volume address productive and successful interaction between industry and mathematicians, as well as the cross-fertilization and collaboration that result when mathematics is involved with the advancement of science and technology.


Mathematical Modelling for Next-Generation Cryptography

Mathematical Modelling for Next-Generation Cryptography
Author: Tsuyoshi Takagi
Publisher: Springer
Total Pages: 368
Release: 2017-07-25
Genre: Computers
ISBN: 9811050651

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This book presents the mathematical background underlying security modeling in the context of next-generation cryptography. By introducing new mathematical results in order to strengthen information security, while simultaneously presenting fresh insights and developing the respective areas of mathematics, it is the first-ever book to focus on areas that have not yet been fully exploited for cryptographic applications such as representation theory and mathematical physics, among others. Recent advances in cryptanalysis, brought about in particular by quantum computation and physical attacks on cryptographic devices, such as side-channel analysis or power analysis, have revealed the growing security risks for state-of-the-art cryptographic schemes. To address these risks, high-performance, next-generation cryptosystems must be studied, which requires the further development of the mathematical background of modern cryptography. More specifically, in order to avoid the security risks posed by adversaries with advanced attack capabilities, cryptosystems must be upgraded, which in turn relies on a wide range of mathematical theories. This book is suitable for use in an advanced graduate course in mathematical cryptography, while also offering a valuable reference guide for experts.


International Symposium on Mathematics, Quantum Theory, and Cryptography

International Symposium on Mathematics, Quantum Theory, and Cryptography
Author: Tsuyoshi Takagi
Publisher: Springer Nature
Total Pages: 275
Release: 2020-10-22
Genre: Technology & Engineering
ISBN: 981155191X

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This open access book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure modeling of the post quantum cryptography including e.g. mathematical study of the light-matter interaction models as well as quantum computing. The security of the most widely used RSA cryptosystem is based on the difficulty of factoring large integers. However, in 1994 Shor proposed a quantum polynomial time algorithm for factoring integers, and the RSA cryptosystem is no longer secure in the quantum computing model. This vulnerability has prompted research into post-quantum cryptography using alternative mathematical problems that are secure in the era of quantum computers. In this regard, the National Institute of Standards and Technology (NIST) began to standardize post-quantum cryptography in 2016. This book is suitable for postgraduate students in mathematics and computer science, as well as for experts in industry working on post-quantum cryptography.


Intelligent Computing & Optimization

Intelligent Computing & Optimization
Author: Pandian Vasant
Publisher: Springer
Total Pages: 575
Release: 2018-09-27
Genre: Technology & Engineering
ISBN: 3030009793

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This book includes innovative research work presented at ICO’2018, the 1st International Conference on Intelligent Computing and Optimization, held in Pattaya, Thailand on October 4–5, 2018. The conference presented topics ranging from power quality, reliability, security assurance, cloud computing, smart cities, renewable energy, agro-engineering, smart vehicles, deep learning, block chain, power systems, AI, machine learning, manufacturing systems, and big-data analytics. This volume focuses on subjects related to innovative computing, uncertainty management and optimization approaches to real-world problems in big-data, smart cities, sustainability, meta-heuristics, cyber-security, IoTs, economics and finance, renewable energy, energy and electricity systems, and block chain. Presenting cutting-edge methodologies with real-world application problems and their solutions, the book is useful for researchers, managers, executives, students, academicians, practicing scientists, and decision makers from all around the globe. It offers the academic and the applied communities a compendium and a research resource with significant insights and inspiration for innovative scientific education, investigation and collaboration, to overcome “hard problems” among the emerging challenges today and in the future.


Advances in Principal Component Analysis

Advances in Principal Component Analysis
Author: Ganesh R. Naik
Publisher: Springer
Total Pages: 252
Release: 2017-12-11
Genre: Technology & Engineering
ISBN: 981106704X

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This book reports on the latest advances in concepts and further developments of principal component analysis (PCA), addressing a number of open problems related to dimensional reduction techniques and their extensions in detail. Bringing together research results previously scattered throughout many scientific journals papers worldwide, the book presents them in a methodologically unified form. Offering vital insights into the subject matter in self-contained chapters that balance the theory and concrete applications, and especially focusing on open problems, it is essential reading for all researchers and practitioners with an interest in PCA.


Time-Dependent Quantum Mechanics of Two-Level Systems

Time-Dependent Quantum Mechanics of Two-Level Systems
Author: James P Lavine
Publisher: World Scientific Publishing
Total Pages: 256
Release: 2018-11-22
Genre: Science
ISBN: 9813272600

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With both industrial and teaching experience, the author explains the effects of time dependence in systems with two energy levels. The book starts with time-independent interactions and goes on to treat interactions with time-dependent electric and magnetic fields. Complete derivations are presented for each case, so the reader understands how the solutions are found. Both closed-form and numerical solutions are treated, and the calculations are compared with experimental data from the literature. Numerous plots are provided to show how the solutions depend on the parameters of the interactions. The book builds upon an undergraduate course in quantum mechanics and is useful for readers interested in magnetic resonance and quantum optics. In addition, this book is ideal for self-study by students or researchers starting on two-level systems. The detailed derivations and plots should ease readers into the study of two-level systems in a wide variety of settings.


Forum "Math-for-Industry"

Forum
Author:
Publisher:
Total Pages: 134
Release: 2016
Genre: Agriculture
ISBN:

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Mathematical Tools for Understanding Infectious Disease Dynamics

Mathematical Tools for Understanding Infectious Disease Dynamics
Author: Odo Diekmann
Publisher: Princeton University Press
Total Pages: 516
Release: 2013
Genre: Mathematics
ISBN: 0691155399

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This book explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology.