Fate Of Schrodingers Cat The Using Math And Computers To Explore The Counterintuitive

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Fate Of Schrodinger's Cat, The: Using Math And Computers To Explore The Counterintuitive

Author : James D Stein
Publisher : World Scientific
ISBN 13 : 981121817X
Total Pages : 171 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Fate Of Schrodinger's Cat, The: Using Math And Computers To Explore The Counterintuitive by : James D Stein

Download or read book Fate Of Schrodinger's Cat, The: Using Math And Computers To Explore The Counterintuitive written by James D Stein and published by World Scientific. This book was released on 2020-07-14 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can we correctly predict the flip of a fair coin more than half the time — or the decay of a single radioactive atom? Our intuition, based on a lifetime of experience, tells us that we cannot, as these are classic examples of what are known to be 50-50 guesses.But mathematics is filled with counterintuitive results — and this book discusses some surprising and entertaining examples. It is possible to devise experiments in which a flipped coin lands heads completely at random half the time, but we can also correctly predict when it will land heads more than half the time. The Fate of Schrodinger's Cat shows how high-school algebra and basic probability theory, with the invaluable assistance of computer simulations, can be used to investigate both the intuitive and the counterintuitive.This book explores fascinating and controversial questions involving prediction, decision-making, and statistical analysis in a number of diverse areas, ranging from whether there is such a thing as a 'hot hand' in shooting a basketball, to how we can successfully predict, more than half the time, the decay of the radioactive atom that determines the fate of Schrodinger's Cat.

Fate of Schrodinger's Cat, The: Using Math and Computers to Explore the Counterintuitive

Author : James D. Stein
Publisher : Problem Solving in Mathematics
ISBN 13 : 9789811218637
Total Pages : 240 pages
Book Rating : 4.2/5 (186 download)

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Book Synopsis Fate of Schrodinger's Cat, The: Using Math and Computers to Explore the Counterintuitive by : James D. Stein

Download or read book Fate of Schrodinger's Cat, The: Using Math and Computers to Explore the Counterintuitive written by James D. Stein and published by Problem Solving in Mathematics. This book was released on 2020 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can we correctly predict the flip of a fair coin more than half the time -- or the decay of a single radioactive atom? Our intuition, based on a lifetime of experience, tells us that we cannot, as these are classic examples of what are known to be 50-50 guesses.But mathematics is filled with counterintuitive results -- and this book discusses some surprising and entertaining examples. It is possible to devise experiments in which a flipped coin lands heads completely at random half the time, but we can also correctly predict when it will land heads more than half the time. The Fate of Schrodinger's Cat shows how high-school algebra and basic probability theory, with the invaluable assistance of computer simulations, can be used to investigate both the intuitive and the counterintuitive.This book explores fascinating and controversial questions involving prediction, decision-making, and statistical analysis in a number of diverse areas, ranging from whether there is such a thing as a 'hot hand' in shooting a basketball, to how we can successfully predict, more than half the time, the decay of the radioactive atom that determines the fate of Schrodinger's Cat.

X Games In Mathematics: Sports Training That Counts!

Author : Timothy P Chartier
Publisher : World Scientific
ISBN 13 : 9811223858
Total Pages : 253 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis X Games In Mathematics: Sports Training That Counts! by : Timothy P Chartier

Download or read book X Games In Mathematics: Sports Training That Counts! written by Timothy P Chartier and published by World Scientific. This book was released on 2020-12-02 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sports analytics has gathered tremendous momentum as one of the most dynamic fields. Diving deep into the numbers of sports can be game changing or simply a fun exercise for fans. How do you get in the game with numbers? What questions can be explored? What actionable insights can be gleaned?Do you like sports? This book will detail ways to analyze athletics to gain insight that can otherwise be obscured. Like math? You'll find many mathematical topics not involving sports. You'll also see how sports analytics can train you broadly in mathematics.From coaching at the highest levels to national media broadcasts, analytics are becoming increasingly indispensable. Dive into the numbers behind soccer to basketball to baseball to boxing to swimming, dive into the numbers. Learn how to get in the game with sports and mathematics.

Fate of Schrodinger's Cat, The: Using Math and Computers to Explore the Counterintuitive

Author : James D. Stein
Publisher : Problem Solving in Mathematics
ISBN 13 : 9789811218156
Total Pages : 240 pages
Book Rating : 4.2/5 (181 download)

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Book Synopsis Fate of Schrodinger's Cat, The: Using Math and Computers to Explore the Counterintuitive by : James D. Stein

The Mathematician's Brain

Author : David Ruelle
Publisher : Princeton University Press
ISBN 13 : 9780691129822
Total Pages : 180 pages
Book Rating : 4.1/5 (298 download)

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Book Synopsis The Mathematician's Brain by : David Ruelle

Download or read book The Mathematician's Brain written by David Ruelle and published by Princeton University Press. This book was released on 2007-08-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

The Quantum Divide

Author : Christopher C. Gerry
Publisher : Oxford University Press
ISBN 13 : 0199666563
Total Pages : 208 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis The Quantum Divide by : Christopher C. Gerry

Download or read book The Quantum Divide written by Christopher C. Gerry and published by Oxford University Press. This book was released on 2013-02-21 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe, and provide the quantum mechanical explanation of, a number of well-chosen illustrative modern (mostly optical) experiments that highlight the strange world of the quantum.

Schrödinger's Killer App

Author : Jonathan P. Dowling
Publisher : CRC Press
ISBN 13 : 1439896739
Total Pages : 457 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Schrödinger's Killer App by : Jonathan P. Dowling

Download or read book Schrödinger's Killer App written by Jonathan P. Dowling and published by CRC Press. This book was released on 2013-05-07 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: The race is on to construct the first quantum code breaker, as the winner will hold the key to the entire Internet. From international, multibillion-dollar financial transactions to top-secret government communications, all would be vulnerable to the secret-code-breaking ability of the quantum computer. Written by a renowned quantum physicist closely involved in the U.S. government’s development of quantum information science, Schrödinger’s Killer App: Race to Build the World’s First Quantum Computer presents an inside look at the government’s quest to build a quantum computer capable of solving complex mathematical problems and hacking the public-key encryption codes used to secure the Internet. The "killer application" refers to Shor’s quantum factoring algorithm, which would unveil the encrypted communications of the entire Internet if a quantum computer could be built to run the algorithm. Schrödinger’s notion of quantum entanglement—and his infamous cat—is at the heart of it all. The book develops the concept of entanglement in the historical context of Einstein’s 30-year battle with the physics community over the true meaning of quantum theory. It discusses the remedy to the threat posed by the quantum code breaker: quantum cryptography, which is unbreakable even by the quantum computer. The author also covers applications to other important areas, such as quantum physics simulators, synchronized clocks, quantum search engines, quantum sensors, and imaging devices. In addition, he takes readers on a philosophical journey that considers the future ramifications of quantum technologies. Interspersed with amusing and personal anecdotes, this book presents quantum computing and the closely connected foundations of quantum mechanics in an engaging manner accessible to non-specialists. Requiring no formal training in physics or advanced mathematics, it explains difficult topics, including quantum entanglement, Schrödinger’s cat, Bell’s inequality, and quantum computational complexity, using simple analogies.

Quantum Computing for the Quantum Curious

Author : Ciaran Hughes
Publisher : Springer Nature
ISBN 13 : 3030616010
Total Pages : 159 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Quantum Computing for the Quantum Curious by : Ciaran Hughes

Download or read book Quantum Computing for the Quantum Curious written by Ciaran Hughes and published by Springer Nature. This book was released on 2021-03-22 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book makes quantum computing more accessible than ever before. A fast-growing field at the intersection of physics and computer science, quantum computing promises to have revolutionary capabilities far surpassing “classical” computation. Getting a grip on the science behind the hype can be tough: at its heart lies quantum mechanics, whose enigmatic concepts can be imposing for the novice. This classroom-tested textbook uses simple language, minimal math, and plenty of examples to explain the three key principles behind quantum computers: superposition, quantum measurement, and entanglement. It then goes on to explain how this quantum world opens up a whole new paradigm of computing. The book bridges the gap between popular science articles and advanced textbooks by making key ideas accessible with just high school physics as a prerequisite. Each unit is broken down into sections labelled by difficulty level, allowing the course to be tailored to the student’s experience of math and abstract reasoning. Problem sets and simulation-based labs of various levels reinforce the concepts described in the text and give the reader hands-on experience running quantum programs. This book can thus be used at the high school level after the AP or IB exams, in an extracurricular club, or as an independent project resource to give students a taste of what quantum computing is really about. At the college level, it can be used as a supplementary text to enhance a variety of courses in science and computing, or as a self-study guide for students who want to get ahead. Additionally, readers in business, finance, or industry will find it a quick and useful primer on the science behind computing’s future.

Quantum

Author : Jim Al-Khalili
Publisher : Weidenfeld & Nicolson
ISBN 13 : 1780225342
Total Pages : 330 pages
Book Rating : 4.7/5 (82 download)

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Book Synopsis Quantum by : Jim Al-Khalili

Download or read book Quantum written by Jim Al-Khalili and published by Weidenfeld & Nicolson. This book was released on 2012-10-25 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Schrodinger's cat to Heisenberg's uncertainty principle, this book untangles the weirdness of the quantum world. Quantum mechanics underpins modern science and provides us with a blueprint for reality itself. And yet it has been said that if you're not shocked by it, you don't understand it. But is quantum physics really so unknowable? Is reality really so strange? And just how can cats be half-alive and half-dead at the same time? Our journey into the quantum begins with nature's own conjuring trick, in which we discover that atoms -- contrary to the rules of everyday experience -- can exist in two locations at once. To understand this we travel back to the dawn of the twentieth century and witness the birth of quantum theory, which over the next one hundred years was to overthrow so many of our deeply held notions about the nature of our universe. Scientists and philosophers have been left grappling with its implications every since.

Quantum Superposition

Author : Mark P. Silverman
Publisher : Springer Science & Business Media
ISBN 13 : 3540718842
Total Pages : 388 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Quantum Superposition by : Mark P. Silverman

Download or read book Quantum Superposition written by Mark P. Silverman and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear and engaging discussion Written by a highly respected quantum physicist Puzzling phenomena made comprehensible Describes solutions to challenging quandries in physics

The Cognitive-Theoretic Model of the Universe: A New Kind of Reality Theory

Author : Christopher Michael Langan
Publisher : Mega Foundation Press
ISBN 13 : 0971916225
Total Pages : 94 pages
Book Rating : 4.9/5 (719 download)

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Book Synopsis The Cognitive-Theoretic Model of the Universe: A New Kind of Reality Theory by : Christopher Michael Langan

Download or read book The Cognitive-Theoretic Model of the Universe: A New Kind of Reality Theory written by Christopher Michael Langan and published by Mega Foundation Press. This book was released on 2002-06-01 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paperback version of the 2002 paper published in the journal Progress in Information, Complexity, and Design (PCID). ABSTRACT Inasmuch as science is observational or perceptual in nature, the goal of providing a scientific model and mechanism for the evolution of complex systems ultimately requires a supporting theory of reality of which perception itself is the model (or theory-to-universe mapping). Where information is the abstract currency of perception, such a theory must incorporate the theory of information while extending the information concept to incorporate reflexive self-processing in order to achieve an intrinsic (self-contained) description of reality. This extension is associated with a limiting formulation of model theory identifying mental and physical reality, resulting in a reflexively self-generating, self-modeling theory of reality identical to its universe on the syntactic level. By the nature of its derivation, this theory, the Cognitive Theoretic Model of the Universe or CTMU, can be regarded as a supertautological reality-theoretic extension of logic. Uniting the theory of reality with an advanced form of computational language theory, the CTMU describes reality as a Self Configuring Self-Processing Language or SCSPL, a reflexive intrinsic language characterized not only by self-reference and recursive self-definition, but full self-configuration and self-execution (reflexive read-write functionality). SCSPL reality embodies a dual-aspect monism consisting of infocognition, self-transducing information residing in self-recognizing SCSPL elements called syntactic operators. The CTMU identifies itself with the structure of these operators and thus with the distributive syntax of its self-modeling SCSPL universe, including the reflexive grammar by which the universe refines itself from unbound telesis or UBT, a primordial realm of infocognitive potential free of informational constraint. Under the guidance of a limiting (intrinsic) form of anthropic principle called the Telic Principle, SCSPL evolves by telic recursion, jointly configuring syntax and state while maximizing a generalized self-selection parameter and adjusting on the fly to freely-changing internal conditions. SCSPL relates space, time and object by means of conspansive duality and conspansion, an SCSPL-grammatical process featuring an alternation between dual phases of existence associated with design and actualization and related to the familiar wave-particle duality of quantum mechanics. By distributing the design phase of reality over the actualization phase, conspansive spacetime also provides a distributed mechanism for Intelligent Design, adjoining to the restrictive principle of natural selection a basic means of generating information and complexity. Addressing physical evolution on not only the biological but cosmic level, the CTMU addresses the most evident deficiencies and paradoxes associated with conventional discrete and continuum models of reality, including temporal directionality and accelerating cosmic expansion, while preserving virtually all of the major benefits of current scientific and mathematical paradigms.

Quantum Reality

Author : Nick Herbert
Publisher : Anchor
ISBN 13 : 030780674X
Total Pages : 290 pages
Book Rating : 4.3/5 (78 download)

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Book Synopsis Quantum Reality by : Nick Herbert

Download or read book Quantum Reality written by Nick Herbert and published by Anchor. This book was released on 2011-09-21 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This clearly explained layman's introduction to quantum physics is an accessible excursion into metaphysics and the meaning of reality. Herbert exposes the quantum world and the scientific and philosophical controversy about its interpretation.

Bernoulli's Fallacy

Author : Aubrey Clayton
Publisher : Columbia University Press
ISBN 13 : 0231553358
Total Pages : 641 pages
Book Rating : 4.2/5 (315 download)

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Book Synopsis Bernoulli's Fallacy by : Aubrey Clayton

Download or read book Bernoulli's Fallacy written by Aubrey Clayton and published by Columbia University Press. This book was released on 2021-08-03 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound consequences. The foundation of the problem is a misunderstanding of probability and its role in making inferences from observations. Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it. He highlights how influential nineteenth- and twentieth-century figures developed a statistical methodology they claimed was purely objective in order to silence critics of their political agendas, including eugenics. Clayton provides a clear account of the mathematics and logic of probability, conveying complex concepts accessibly for readers interested in the statistical methods that frame our understanding of the world. He contends that we need to take a Bayesian approach—that is, to incorporate prior knowledge when reasoning with incomplete information—in order to resolve the crisis. Ranging across math, philosophy, and culture, Bernoulli’s Fallacy explains why something has gone wrong with how we use data—and how to fix it.

Secrets of the Aether

Author : David W. Thomson III
Publisher : The Aenor Trust
ISBN 13 : 0972425128
Total Pages : 304 pages
Book Rating : 4.9/5 (724 download)

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Book Synopsis Secrets of the Aether by : David W. Thomson III

Download or read book Secrets of the Aether written by David W. Thomson III and published by The Aenor Trust. This book was released on 2004-10-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author David Thomson and Jim Bourassa have founded the Quantum AetherDynamics Institute, an organization dedicated to understanding the Aether. For the first time in human history, the Aether is fully quantified based upon empirical data. Through a very simple observation noted nearly 200 years ago by Charles Coulomb, the electromagnetic units have been corrected of an error that has led physics astray for so long. Now, electrodynamics expresses in simple dimensional equations, the neurosciences unite with quantum and classical physics, and we can precisely model the geometry of subatomic particles.

Quantum Computing Since Democritus

Author : Scott Aaronson
Publisher : Cambridge University Press
ISBN 13 : 0521199565
Total Pages : 403 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Quantum Computing Since Democritus by : Scott Aaronson

Download or read book Quantum Computing Since Democritus written by Scott Aaronson and published by Cambridge University Press. This book was released on 2013-03-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics.

Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking

Author : Alfred S Posamentier
Publisher : World Scientific
ISBN 13 : 9811205728
Total Pages : 168 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking by : Alfred S Posamentier

Download or read book Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking written by Alfred S Posamentier and published by World Scientific. This book was released on 2019-08-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.