Products related to Randomness:
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Algorithmic Randomness : Progress and Prospects
The last two decades have seen a wave of exciting new developments in the theory of algorithmic randomness and its applications to other areas of mathematics.This volume surveys much of the recent work that has not been included in published volumes until now.It contains a range of articles on algorithmic randomness and its interactions with closely related topics such as computability theory and computational complexity, as well as wider applications in areas of mathematics including analysis, probability, and ergodic theory.In addition to being an indispensable reference for researchers in algorithmic randomness, the unified view of the theory presented here makes this an excellent entry point for graduate students and other newcomers to the field.
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The Chaos and the Randomness
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The Drunkard's Walk : How Randomness Rules Our Lives
Leonard Mlodinow's The Drunkard's Walk: How Randomness Rules Our Lives is an exhilarating, eye-opening guide to understanding our random world. Randomness and uncertainty surround everything we do.So why are we so bad at understanding them? The same tools that help us understand the random paths of molecules can be applied to the randomness that governs so many aspects of our everyday lives, from winning the lottery to road safety, and reveals the truth about the success of sporting heroes and film stars, and even how to make sense of a blood test. The Drunkard's Walk reveals the psychological illusions that prevent us understanding everything from stock-picking to wine-tasting - read it, or risk becoming another victim of chance. 'A wonderfully readable guide to how the mathematical laws of randomness affect our lives' Stephen Hawking, author of A Brief History of Time
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From Randomness and Entropy to the Arrow of Time
The Element reconstructs, analyses and compares different derivational routes to a grounding of the Arrow of Time in entropy.It also evaluates the link between entropy and visible disorder, and the related claim of an alignment of the Arrow of Time with a development from order to visible disorder.The Element identifies three different entropy-groundings for the Arrow of Time: (i) the Empirical Arrow of Time, (ii) the Universal Statistical Arrow of Time, and (iii) the Local Statistical Arrow of Time.The Element will also demonstrate that it is unlikely that high entropy states will always coincide with visible disorder.Therefore, it will dispute that there is a strong link between the Arrow of Time and visible disorder.
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Is there genuine randomness?
The concept of genuine randomness is a topic of debate in philosophy, mathematics, and science. Some argue that true randomness exists in the universe, such as in quantum mechanics where certain events are considered to be truly random. Others believe that what appears to be random is simply a result of complex and unpredictable interactions between various factors. Ultimately, the question of genuine randomness is still open to interpretation and debate, and may depend on one's philosophical or scientific perspective.
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Is there true randomness?
True randomness is a topic of debate among scientists and philosophers. Some argue that true randomness exists at the quantum level, where events are unpredictable and not determined by any prior causes. Others believe that what appears random is simply a result of our lack of understanding or ability to measure all variables. Ultimately, the question of whether true randomness exists may never be definitively answered.
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Does randomness really exist?
Randomness is a concept that describes events or outcomes that are unpredictable and lack a discernible pattern. While some may argue that true randomness does not exist and that everything is governed by underlying causes and influences, others believe that there are genuinely random phenomena in the universe, such as quantum fluctuations. The debate over the existence of randomness is ongoing and largely philosophical, as it ultimately depends on one's interpretation of the nature of reality and causality.
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Has genuine randomness been proven?
Genuine randomness has not been proven definitively. While there are natural phenomena that appear to be random, such as the decay of radioactive atoms, it is still debated whether these processes are truly random or simply governed by complex, unknown deterministic factors. Additionally, in the field of quantum mechanics, there is ongoing debate about whether the behavior of subatomic particles is truly random or if there are hidden variables at play. Therefore, the question of genuine randomness remains an open and active area of research in science.
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Graph Theory and Additive Combinatorics : Exploring Structure and Randomness
Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph theory and additive combinatorics.Readers will explore central results in additive combinatorics-notably the cornerstone theorems of Roth, Szemerédi, Freiman, and Green-Tao-and will gain additional insights into these ideas through graph theoretic perspectives.Topics discussed include the Turán problem, Szemerédi's graph regularity method, pseudorandom graphs, graph limits, graph homomorphism inequalities, Fourier analysis in additive combinatorics, the structure of set addition, and the sum-product problem.Important combinatorial, graph theoretic, analytic, Fourier, algebraic, and geometric methods are highlighted.Students will appreciate the chapter summaries, many figures and exercises, and freely available lecture videos on MIT OpenCourseWare.Meant as an introduction for students and researchers studying combinatorics, theoretical computer science, analysis, probability, and number theory, the text assumes only basic familiarity with abstract algebra, analysis, and linear algebra.
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The Art Of Randomness : Randomized Algorithms in the Real World
When properly applied, randomness can be a powerful tool in programming, science, and art.This highly practical but geekily fun introduction to randomness shows you how to put chaos to work, illustrating its ability to power everything from the simulation of Darwinian evolution, to product placement in a grocery store, to hiding information in plain sight, and even how to generate art and music.By encouraging you to engage in 'what if' speculation, you'll build intuition about when and how to use randomness to get things done.Each chapter describes how randomness plays into the given topic area, then proceeds to demonstrate its problem-solving role with hands-on experiments to work through using Python code.By the end of the book, you'll see why randomness belongs in every programmer's toolbox.Explore the mathematical background of randomness, use randomness for encrypting messages, creating models, and implementing swarm-intelligence or machine-learning algorithms, discover how randomness is used in programming applications, and apply it to your own work.
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Teachers Learning : Professional Development and Education
A collaborative series with the University of Cambridge Faculty of Education highlighting leading-edge research across Teacher Education, International Education Reform and Language Education. Teachers Learning focuses on continuing teacher's professional development through accounts of recent enquiries.From presenting evidence and arguments about the teacher's role and profession, knowledge and knowledge creation, other organisations in the educational landscape, issues of power, status and development, this book highlights the crucial importance and effectiveness of teachers' learning benefitting pupils and classroom learning.
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Fooled by Randomness : The Hidden Role of Chance in Life and in the Markets
Everyone wants to succeed in life. But what causes some of us to be more successful than others?Is it really down to skill and strategy - or something altogether more unpredictable?This book is the bestselling sensation that will change the way you think about business and the world.It is all about luck: more precisely, how we perceive luck in our personal and professional experiences.Nowhere is this more obvious than in the markets - we hear an entrepreneur has 'vision' or a trader is 'talented', but all too often their performance is down to chance rather than skill.It is only because we fail to understand probability that we continue to believe events are non-random, finding reasons where none exist. 'One of the smartest books of all time' Fortune 'An iconoclastic tour de force ... nothing escapes his Exocets' Evening Standard 'Brilliant' John Kay 'Excellent and thought-provoking ... an entertaining book' Financial Times 'Wall Street's principal dissident' Malcolm Gladwell
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Does randomness in quantum mechanics arise only through measurement, or is it genuine randomness?
Randomness in quantum mechanics is considered to be genuine rather than arising solely through measurement. According to the principles of quantum mechanics, particles can exist in multiple states simultaneously until they are observed or measured, at which point they collapse into a single state. This inherent uncertainty and probabilistic nature of quantum systems is what gives rise to genuine randomness in quantum mechanics, independent of the act of measurement.
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What is randomness and probability mathematics?
Randomness and probability mathematics deal with the study of uncertainty and chance. Randomness refers to the lack of pattern or predictability in events, while probability is the likelihood of a particular outcome occurring. In mathematics, randomness and probability are used to analyze and predict the likelihood of different outcomes in various situations, such as gambling, weather forecasting, and risk assessment. These concepts are essential in understanding and making decisions in situations where outcomes are uncertain.
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Has the existence of randomness been proven?
The existence of randomness has not been definitively proven. While there are phenomena that appear random, such as quantum mechanics and certain aspects of chaos theory, it is still debated whether true randomness exists or if it is simply a result of our limited understanding or ability to predict certain events. Some argue that what appears random may actually be governed by underlying patterns or deterministic processes that we have yet to fully comprehend.
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What is a phobia of randomness and unpredictability?
A phobia of randomness and unpredictability is known as alektorophobia. This phobia is characterized by an intense and irrational fear of anything that is random or unpredictable, such as sudden changes, unexpected events, or chaotic situations. People with alektorophobia may experience anxiety, panic attacks, and avoidance behaviors when confronted with situations that they perceive as unpredictable or out of their control. This phobia can significantly impact a person's daily life and may require professional help to manage and overcome.
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