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Fate Of Schrodinger S Cat The Using Math And Computers To Explore The Counterintuitive


Fate Of Schrodinger S 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


Fate Of Schrodinger S Cat The Using Math And Computers To Explore The Counterintuitive
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Author : James D Stein
language : en
Publisher: World Scientific
Release Date : 2020-07-14

Fate Of Schrodinger S Cat The Using Math And Computers To Explore The Counterintuitive written by James D Stein and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-14 with Mathematics categories.


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


Fate Of Schrodinger S Cat The Using Math And Computers To Explore The Counterintuitive
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Author : James D. Stein
language : en
Publisher: Problem Solving in Mathematics
Release Date : 2020

Fate Of Schrodinger S Cat The Using Math And Computers To Explore The Counterintuitive written by James D. Stein and has been published by Problem Solving in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Young Adult Nonfiction categories.


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


X Games In Mathematics Sports Training That Counts
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Author : Timothy P Chartier
language : en
Publisher: World Scientific
Release Date : 2020-12-02

X Games In Mathematics Sports Training That Counts written by Timothy P Chartier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-02 with Mathematics categories.


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


Fate Of Schrodinger S Cat The Using Math And Computers To Explore The Counterintuitive
DOWNLOAD
Author : James D. Stein
language : en
Publisher: Problem Solving in Mathematics
Release Date : 2020

Fate Of Schrodinger S Cat The Using Math And Computers To Explore The Counterintuitive written by James D. Stein and has been published by Problem Solving in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Young Adult Nonfiction categories.


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.



Quantum Computing For The Quantum Curious


Quantum Computing For The Quantum Curious
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Author : Ciaran Hughes
language : en
Publisher: Springer Nature
Release Date : 2021-03-22

Quantum Computing For The Quantum Curious written by Ciaran Hughes and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-22 with Science categories.


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.



Mathematics And Computation


Mathematics And Computation
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Author : Avi Wigderson
language : en
Publisher: Princeton University Press
Release Date : 2019-10-29

Mathematics And Computation written by Avi Wigderson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-29 with Computers categories.


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



Psychology Of Problem Solving The The Background To Successful Mathematics Thinking


Psychology Of Problem Solving The The Background To Successful Mathematics Thinking
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Author : Virgadamo Danielle Sauro
language : en
Publisher: World Scientific
Release Date : 2019-08-21

Psychology Of Problem Solving The The Background To Successful Mathematics Thinking written by Virgadamo Danielle Sauro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-21 with Mathematics categories.


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.



The Quantum Divide


The Quantum Divide
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Author : Christopher C. Gerry
language : en
Publisher: OUP Oxford
Release Date : 2013-02-22

The Quantum Divide written by Christopher C. Gerry and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-22 with Science categories.


Using a selection of key experiments performed over the past 30 years or so, we present a discussion of the strikingly counter-intuitive phenomena of the quantum world that defy explanation in terms of everyday "common sense" reasoning, and we provide the corresponding quantum mechanical explanations with a very elementary use of associated formalism. Most, but certainly not all, of the experiments we describe are optical experiments involving a very small number of photons (particles of light). We begin with experiments on the wave-particle duality of electrons, proceed to experiments on the particle nature of light and single photon interference, delayed choice experiments and interaction-free detection, then go on to experiments involving the interference of two photons, quantum entanglement and Bell's Theorem, quantum teleportation, large-scale quantum effects and the divide between the classical and quantum worlds, addressing the question as to whether or not there is such a divide.



Consciousness In The Physical World


Consciousness In The Physical World
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Author : Torin Andrew Alter
language : en
Publisher: Philosophy of Mind
Release Date : 2015

Consciousness In The Physical World written by Torin Andrew Alter and has been published by Philosophy of Mind this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Philosophy categories.


According to Russellian monism, an alternative to the familiar theories in the philosophy of mind that combines attractive components of physicalism and dualism, matter has intrinsic properties that both constitute consciousness and serve as categorical bases for the dispositional properties described in physics. Consciousness in the Physical World collects various works on Russellian monism, including historical selections, recent classics, and new pieces. Most chapters are sympathetic with the view, but some are skeptical. Together, they constitute the first book-length treatment of the view itself, its relationship to other theories, its motivations, and its problems.



Schr Dinger S Killer App


Schr Dinger S Killer App
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Author : Jonathan P. Dowling
language : en
Publisher: Taylor & Francis
Release Date : 2013-05-07

Schr Dinger S Killer App written by Jonathan P. Dowling and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-07 with Mathematics categories.


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.