Entangling Primes And Zeros
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Entangling Primes And Zeros
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Author : David R Ely
language : en
Publisher: David R Ely
Release Date : 2024-04-26
Entangling Primes And Zeros written by David R Ely and has been published by David R Ely this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-26 with Mathematics categories.
For over 150 years, the Riemann Hypothesis stood as perhaps the greatest unsolved problem in mathematics. Proposed in 1859 by Bernard Riemann, the conjecture provided a tantalizing connection between the distribution of prime numbers and the zeros of an analytic function. Riemann located all the non-trivial zeros of the zeta function along a straight line in the complex plane. This simple pattern pointed to hidden order in the chaos of prime numbers. Generations of mathematicians struggled in vain to prove Riemann's alluring claim. It became the holy grail of number theory, resisting the most powerful mathematical minds. The Riemann Hypothesis gained renown as the most important problem in all of mathematics. But despite intense effort, the problem seemed mired in insurmountable difficulty. In this book, we walk through the proof that could finally cracked Riemann's age-old enigma. By bringing together ideas from complex analysis, number theory, and topology, the proof provides a creative bridge between mathematics' disparate domains. Methods based on symmetry, contradiction, and strategic re-expression illuminate Riemann's magic at last. The book offers the first comprehensive guide to understanding and appreciating this watershed mathematical achievement. It provides deep mathematical insights, historical perspectives, and reflection on problem-solving philosophy. Most importantly, the work pays tribute to the human spirit embodied in mathematics’ unending quest to understand the mysteries of patterns that surround us.
A Handbook Of Number Theory In Quantum Mechanics
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
A Handbook Of Number Theory In Quantum Mechanics written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
"A Handbook of Number Theory in Quantum Mechanics" is a comprehensive guide designed for absolute beginners eager to explore the fascinating intersection of number theory and quantum mechanics. This book provides a clear and accessible introduction to essential concepts in both fields, from prime numbers and modular arithmetic to wave functions and quantum superposition. With step-by-step explanations, illustrative examples, and a focus on clarity, it aims to make complex topics approachable for all readers. Whether you're a student, an enthusiastic amateur, or simply curious about the mathematical foundations of the quantum world, this handbook will equip you with a solid understanding and inspire further exploration into these captivating subjects.
Ultimate Zero And One
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Author : Colin P. Williams
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Ultimate Zero And One written by Colin P. Williams and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
As miniaturization deepens, and nanotechnology and its machines become more prevalent in the real world, the need to consider using quantum mechanical concepts to perform various tasks in computation increases. Such talks include: the teleporting of information, breaking heretofore "unbreakable" codes, communicating with messages that betray eavesdropping, and the generation of random munbers. To date, there has been no book written which applies quantum physics to the basic operations of a computer. This one does, thus presenting us with the ideal vehicle for explaining the complexities of quantum mechanics to students, researchers and computer engineers, alike, as they prepare to design and create the computing and information delivery systems for the future. Both authors have solid backgrounds in the subject matter at the theoretical and research level, as well as experience on a more practical plane. While also intended for use as a text for senior/grad level students in computer science/physics/engineering, this book has its primary use as an up-to-date reference work in the emerging interdisciplinary field of quantum computing. It does require knowledge of calculus and familiarity with the concept of the Turing machine.
Number Theory In Quantum Mechanics
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Number Theory In Quantum Mechanics written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
"Number Theory in Quantum Mechanics" is a specialized exploration that bridges the realms of number theory and quantum mechanics. Catering to students, physicists, and researchers in quantum physics, this book investigates the intriguing connections between number theory concepts and quantum phenomena. Covering topics such as quantum states, operators, and wave functions, the book illuminates the mathematical underpinnings that emerge when applying number theory principles to quantum mechanics. With clarity and depth, this book serves as a valuable resource for those intrigued by the intersection of mathematical theory and quantum physics, offering new perspectives on the fundamental nature of quantum systems.
Zero Much To Do About Nothing
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Author : Jim E. Riviere
language : en
Publisher: Springer Nature
Release Date : 2025-04-05
Zero Much To Do About Nothing written by Jim E. Riviere and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-05 with Technology & Engineering categories.
Zero – Much to Do About Nothing? is a thought-provoking work that delves into the complexities of defining “zero” in various fields, from mathematics and physics to pharmacology and food safety. Drawing on his extensive experience in teaching, research and managing a USDA-supported chemical food safety program, Jim E. Riviere provides readers with practical examples and case studies that highlight the challenges of defining “zero” in different contexts across a wide range of fields. In his four decades of university teaching, doing research in pharmacology, toxicology, biomathematics and nanoscience, Dr. Riviere has repeatedly encountered the concept of “zero” and the broad parameters utilized to achieve a proper definition. "Zero” enters when discussions concern defining "nothing", "negligible", "very small", "below level of detection", "absence of effect" or "safe". This renders the term “zero” incredibly confusing to scientists, practitioners and regulators. This book explores the origin of the concept of “zero” in mathematics, physics, chemistry and statistics and how these concepts migrated to fields such as pharmacology, toxicology, cancer research and food safety, as well as to the legal profession in the form of regulatory science and policy. Specific chapters deal with the application of “zero” to these distinct fields. The main focus throughout the book is to illustrate how important context is to the definition of “zero”. This has assumed greater relevance today with the advent of nanoscience where “small” implies different physical and chemical behavior and the use of artificial Intelligence to analyze vast troves of data from the web. The goal of the book is to provide much-needed clarity about "zero" and break down the many issues preventing it. Riviere expertly explains how the concept of “zero” is essential to a wide range of issues, from defining negligible amounts of a substance to determining the safety of a product or process. He shows how the term “zero” can have different meanings in different fields and how this can lead to confusion and misunderstandings among scientists, practitioners and regulators. Whether you're working in Food Safety, Chemistry, Pharmacology, Mathematics, Physics or beyond, Zero – Much to Do About Nothing? is a relatable book that will deepen your understanding of the concept of “zero” and its diverse applications.
Quantum Computing In The Arts And Humanities
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Author : Eduardo Reck Miranda
language : en
Publisher: Springer Nature
Release Date : 2022-05-05
Quantum Computing In The Arts And Humanities written by Eduardo Reck Miranda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-05 with Computers categories.
Computers are essential for the functioning of our society. Despite the incredible power of existing computers, computing technology is progressing beyond today’s conventional models. Quantum Computing (QC) is surfacing as a promising disruptive technology. QC is built on the principles of quantum mechanics. QC can run algorithms that are not trivial to run on digital computers. QC systems are being developed for the discovery of new materials and drugs and improved methods for encoding information for secure communication over the Internet. Unprecedented new uses for this technology are bound to emerge from ongoing research. The development of conventional digital computing technology for the arts and humanities has been progressing in tandem with the evolution of computers since the 1950s. Today, computers are absolutely essential for the arts and humanities. Therefore, future developments in QC are most likely to impact on the way in which artists will create and perform, and how research in the humanities will be conducted. This book presents a comprehensive collection of chapters by pioneers of emerging interdisciplinary research at the crossroads of quantum computing, and the arts and humanities, from philosophy and social sciences to visual arts and music. Prof. Eduardo Reck Miranda is a composer and a professor in Computer Music at Plymouth University, UK, where he is a director of the Interdisciplinary Centre for Computer Music Research (ICCMR). His previous publications include the Springer titles Handbook of Artificial Intelligence for Music, Guide to Unconventional Computing for Music, Guide to Brain-Computer Music Interfacing and Guide to Computing for Expressive Music Performance.
Quantum Correlations Beyond Entanglement
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Author : Alexander Streltsov
language : en
Publisher: Springer
Release Date : 2014-11-01
Quantum Correlations Beyond Entanglement written by Alexander Streltsov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-01 with Science categories.
Quantum correlations are not restricted to the well known entanglement investigated in Bell-type experiments. Other forms of correlations, for example quantum discord, have recently been shown to play an important role in several aspects of quantum information theory. First experiments also support these findings. This book is an introduction into this up-and-coming research field and its likely impact on quantum technology. After giving a general introduction to the concept of quantum correlations and their role in quantum information theory, the author describes a number of pertinent results and their implications.
Quantum Entanglement In Electron Optics
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Author : Naresh Chandra
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-30
Quantum Entanglement In Electron Optics written by Naresh Chandra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-30 with Science categories.
This monograph forms an interdisciplinary study in atomic, molecular, and quantum information (QI) science. Here a reader will find that applications of the tools developed in QI provide new physical insights into electron optics as well as properties of atoms & molecules which, in turn, are useful in studying QI both at fundamental and applied levels. In particular, this book investigates entanglement properties of flying electronic qubits generated in some of the well known processes capable of taking place in an atom or a molecule following the absorption of a photon. Here, one can generate Coulombic or fine-structure entanglement of electronic qubits. The properties of these entanglements differ not only from each other, but also from those when spin of an inner-shell photoelectron is entangled with the polarization of the subsequent fluorescence. Spins of an outer-shell electron and of a residual photoion can have free or bound entanglement in a laboratory.
Number Theory And Symmetry
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Author : Michel Planat
language : en
Publisher: MDPI
Release Date : 2021-01-20
Number Theory And Symmetry written by Michel Planat and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-20 with Computers categories.
According to Carl Friedrich Gauss (1777–1855), mathematics is the queen of the sciences—and number theory is the queen of mathematics. Numbers (integers, algebraic integers, transcendental numbers, p-adic numbers) and symmetries are investigated in the nine refereed papers of this MDPI issue. This book shows how symmetry pervades number theory. In particular, it highlights connections between symmetry and number theory, quantum computing and elementary particles (thanks to 3-manifolds), and other branches of mathematics (such as probability spaces) and revisits standard subjects (such as the Sieve procedure, primality tests, and Pascal’s triangle). The book should be of interest to all mathematicians, and physicists.
The Ai Shield Defending Against Zero Day Threats With Intelligent Ids
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Author : Mr. Amit Banwari Gupta, Mr. Mohammad Majharul Islam Jabed
language : en
Publisher: QUILL TECH PUBLICATIONS
Release Date : 2025-05-15
The Ai Shield Defending Against Zero Day Threats With Intelligent Ids written by Mr. Amit Banwari Gupta, Mr. Mohammad Majharul Islam Jabed and has been published by QUILL TECH PUBLICATIONS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-15 with categories.
"The AI Shield: Defending Against Zero-Day Threats with Intelligent IDS" is a comprehensive guide that explores the integration of artificial intelligence into cybersecurity systems, specifically focusing on the detection and prevention of zero-day threats using intelligent intrusion detection systems (IDS). The book begins by establishing the foundational concepts of AI, machine learning, and cybersecurity, then progresses to discuss various IDS architectures and their limitations in handling modern, sophisticated cyberattacks. It delves deeply into the role of machine learning and deep learning models in enhancing threat detection capabilities, offering practical insights into model development, data handling, and evaluation techniques. Central to the book is the concept of "The AI Shield," a multi-layered, adaptive, and autonomous defense framework that leverages real-time analytics and self-learning mechanisms to identify and respond to emerging threats. Concluding with case studies, deployment strategies, and a discussion on ethical challenges and future trends, the book serves as both a technical reference and strategic roadmap for researchers, developers, and cybersecurity professionals aiming to build next-generation defense systems.