Download or read book Entangling Primes and Zeros written by David R Ely and published by David R Ely. This book was released on 2024-04-26 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book In Search of the Riemann Zeros written by Michel Laurent Lapidus and published by American Mathematical Soc.. This book was released on 2008 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formulated in 1859, the Riemann Hypothesis is the most celebrated and multifaceted open problem in mathematics. In essence, it states that the primes are distributed as harmoniously as possible--or, equivalently, that the Riemann zeros are located on a single vertical line, called the critical line.
Download or read book Ultimate Zero and One written by Colin P. Williams and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: As miniaturisation 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 tasks include: the teleporting of information, breaking heretofore "unbreakable" codes, communicating with messages that betray eavesdropping, and the generation of random numbers. This is the first book to apply quantum physics to the basic operations of a computer, representing 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 more practical level. While serving 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 - the only prerequisite being knowledge of calculus and familiarity with the concept of the Turing machine.
Download or read book Quantum Computing in the Arts and Humanities written by Eduardo Reck Miranda and published by Springer Nature. This book was released on 2022-05-05 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Symmetry and the Zeros of Riemann s Zeta Function written by Anthony Lander and published by Createspace Independent Publishing Platform. This book was released on 2018-03-06 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The famous "nontrivial zeros" are a set of complex numbers that produce zero when given to Riemann's zeta function. This set of numbers influences the distribution of the prime numbers. The nontrivial zeros therefore lie at the very heart of mathematics, since every integer greater than 1 is a unique product of primes. Riemann's hypothesis is that the real part of each nontrivial zero is a half. The author, Anthony Lander, is a paediatric surgeon and not a mathematician. However, Anthony has had a longstanding interest in symmetry and symmetry breaking in biological systems. He came across Riemann's hypothesis in 2012 and believes that a symmetry evident in Euler's zeta underlies the truth of Riemann's hypothesis and why the zeros repel.
Download or read book Dr Riemann s Zeros written by Karl Sabbagh and published by Atlantic Books (UK). This book was released on 2003 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1859 Bernhard Riemann, a shy German mathematician, gave an answer to a problem that had long puzzled mathematicians. Although he couldn't provide a proof, Riemann declared that his solution was 'very probably' true. For the next one hundred and fifty years, the world's mathematicians have longed to confirm the Riemann hypothesis. So great is the interest in its solution that in 2001, an American foundation offered a million-dollar prize to the first person to demonstrate that the hypothesis is correct. In this book, Karl Sabbagh makes accessible even the airiest peaks of maths and paints vivid portraits of the people racing to solve the problem. Dr. Riemann's Zeros is a gripping exploration of the mystery at the heart of our counting system.
Download or read book A Handbook of Number Theory in Quantum Mechanics written by N.B. Singh and published by N.B. Singh. This book was released on with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Number Theory in Quantum Mechanics written by N.B. Singh and published by N.B. Singh. This book was released on with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Quantum Entanglement in Electron Optics written by Naresh Chandra and published by Springer Science & Business Media. This book was released on 2013-05-30 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Morphology Morphology primes phenomena and processes written by Francis Katamba and published by Taylor & Francis. This book was released on 2004 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This six-volume collection draws together the most significant contributions to morphological theory and analysis which all serious students of morphology should be aware of. By comparing the stances taken by the different schools about the important issues, the reader will be able to judge the merits of each, with the benefit of evidence rather than prejudice.
Download or read book Quantum Correlations Beyond Entanglement written by Alexander Streltsov and published by Springer. This book was released on 2014-11-01 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Number Theory and Symmetry written by Michel Planat and published by MDPI. This book was released on 2021-01-20 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Entanglement written by Stan Mason and published by Andrews UK Limited. This book was released on 2014-01-29 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: I'm a film scriptwriter in Hollywood, with a partner called Ellie who's eight months pregnant and a film director, Harry Badella, who’s rude, irascible and always applying pressure on actors and writers to get the best out of them,. However I am beleaguered by a quest I had put off for a long time. Some fifty years ago, I was evacuated to Cornwall during World War Two and fostered by a couple called the Laitys. They had a son, Patrick, and for years I wanted to go back to meet him but there was never a suitable time. Suddenly, I decided to take the bull by the horns and fly to England only to discover that Patrick had died many years earlier, Then, by accident, I learned that he was still alive and there were reasons why he wanted people to think that he was dead. I began to undertake some research which proved to have many ramifications. After delving deeply into Patrick’s past, I became the target for three attempts on my life while dead bodies seem to accumulate around me, each one appearing to be an accidental death. I found myself in the company of many people who professed to have known my foster brother and then the situation accelerated to a higher level. I discovered that papers from a Roger Blake, a well-respected scientist, related to the Star Wars programme... by which nations are able to park nuclear missiles in outer space to protect themselves from attack, I soon learned that everyone was searching for Blake’s papers and I embarked on a smuggling escapade to find Patrick in a whirlpool of intrigue with many twists and turns before coming across a woman with whom I fell in love. Following that, there were some nightmare situations, such as the visit from a man with an iron hand who threatened my life, and my body hanging over Hell’s Mouth, where many people go to commit suicide...
Download or read book Blood Zero Sky written by J. Gabriel Gates and published by Health Communications, Inc.. This book was released on 2012-10 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unprofitables are banished to work camps to pay off their credit. Other tie-men and women look on apathetically. Fair is fair. Everyone knows you shouldn't use more credit than you are worth to the Company. They turn their attention to the next repackaged but highly coveted N-Corp product on the market, creatively advertised on the imager screens that adorn virtually every available flat surface. All the while, their mandatory cross-implants and wrist-worn "ICs" keep them focused on the endless cycle of work and consumption to which they are enslaved. May Fields—the CEO's daughter—would like to believe she is above all that. Head of N-Corp's marketing team, the young woman who has almost everything anyone could want spends her days dreaming up ingenious ways to make workers buy more of what they already have and don't need. Even before May discovers that the Company is headed for its first loss in thirty years, she is feeling the stirrings of dissatisfaction with the system that has given her everything she's ever wanted . . . except the freedom to be herself. When she is kidnapped by a member of the Protectorate—a secret order dating back to the American Revolution—May is suddenly faced with the frightening truth of what the Company's greed has done to our most basic human rights. Will she embrace who she is and join the battle to restore America's democratic freedom, or put her blinders back on and return to her safe and passionless life? More prediction than fiction, Blood Zero Sky is a riveting, nonstop, and suspenseful gaze into the looking glass, destined to rise with the zeitgeist of our times to become the anthem of a generation.
Download or read book Quantum Information Computation written by and published by . This book was released on 2006 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Seventh European Conference on Combinatorics Graph Theory and Applications written by Jaroslav Nešetřil and published by Springer Science & Business Media. This book was released on 2014-01-18 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the tradition of EuroComb'01 (Barcelona), Eurocomb'03 (Prague), EuroComb'05 (Berlin), Eurocomb'07 (Seville), Eurocomb'09 (Bordeaux), and Eurocomb'11 (Budapest), this volume covers recent advances in combinatorics and graph theory including applications in other areas of mathematics, computer science and engineering. Topics include, but are not limited to: Algebraic combinatorics, combinatorial geometry, combinatorial number theory, combinatorial optimization, designs and configurations, enumerative combinatorics, extremal combinatorics, ordered sets, random methods, topological combinatorics.
Download or read book Quantum Entanglements written by Rob Clifton and published by Clarendon Press. This book was released on 2004-09-23 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rob Clifton was one of the most brilliant and productive researchers in the foundations and philosophy of quantum theory; he died tragically at the age of 38. Jeremy Butterfield and Hans Halvorson present fourteen of his finest papers, all of which combine exciting philosophical discussion with rigorous mathematical results. Many of these papers break wholly new ground, either conceptually or technically. Others resolve a vague controversy into a precise technical problem, which is then solved; still others solve an open problem that had been in the air for some time. All of them show scientific and philosophical creativity of a high order, genuinely among the very best work in the field. The papers are grouped into four parts. First come four papers about the modal interpretation of quantum mechanics. Part II comprises three papers on the foundations of algebraic quantum field theory, with an emphasis on entanglement and nonlocality. The two papers in Part III concern the concept of a particle in relativistic quantum theories. One paper analyses localization; the other analyses the Unruh effect (Rindler quanta) using the algebraic approach to quantum theory. Finally, Part IV contains striking new results about such central issues as complementarity, Bohr's reply to the EPR argument, and no hidden variables theorems; and ends with a philosophical survey of the field of quantum information. The volume includes a full bibliography of Clifton's publications. Quantum Entanglements offers inspiration and substantial reward to graduates and professionals in the foundations of physics, with a background in philosophy, physics, or mathematics.
