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Müller J: Dynamics of Democratic
Elections

Dynamics of Democratic Elections

Probability theory is a discipline that studies the quantitative regularity of random phenomena. The fact that random phenomena arise, especially in the era of big data and artificial intelligence, determines the importance of this discipline. This volume introduces various concepts that quantitatively describe random phenomena, including probability, random variables, distribution functions, density functions, mathematical expectations, variances, moments, and characteristic functions. It finishes off by presenting probability limit theory, including various convergences.Throughout the volume, great importance is attached to the elaboration of probability thoughts. For this reason, some practical examples to illustrate the introduced concept are always used. In order to meet the needs of different levels of readers, there is a section on Supplements and Notes at the end of each chapter to enhance and expand the content in the body of the textbook. This volume contains a large number of problems of varying levels for the reader with the purpose to review, consolidate, deepen and expand their knowledge.As the only branch of mathematics that studies the quantitative regularity of random phenomena, probability theory has not only theoretical significance, but it is also a main theoretical basis of mathematical statistics. Therefore, it will be of interest to scholars from other disciplines related to random phenomena.

Probability Theory: An Elementary Course

Making Sense of the 2024 Election

How the Democrats Lost Steve

This book presents a comprehensive treatment of pricing and hedging soccer betting contracts using the modern techniques of probability, statistics, finance, and portfolio management. It introduces betting in general and then addresses the probabilistic intuition needed in the more complex world of soccer betting. The author presents an innovative perspective by thinking about betting odds in terms of the expected number of goals of both teams. In addition, when the betting market is in play, the book treats betting before the game and during the game separately.

This book presents a comprehensive treatment of pricing and hedging soccer betting contracts using the modern techniques of probability, statistics, finance, and portfolio management. It introduces betting in general and then addresses the probabilistic intuition needed in the more complex world of soccer betting. The author presents an innovative perspective by thinking about betting odds in terms of the expected number of goals of both teams. In addition, when the betting market is in play, the book treats betting before the game and during the game separately.

Science of Soccer Statistics

Soccermetrics

Why Not Nonlinear Algebra: Math, Science, Applications And Funding

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Quantum Machine Learning (QML): Platform, Tools and Applications: Volume 140

Introduction to Computational Fluid Dynamics

Fundamentals and Applications

Graph Theory

Series On Multivariate Analysis

This is a thoroughly revised and updated edition of the earlier research monograph Topics in Circular Statistics by the first two authors. While maintaining the spirit as a research monograph, this book now covers the broader theme of directional statistics. Starting with an introduction to the area for those who wish to learn about this novel field, it goes on to survey the recent advances and developments in terms of theory, methodology, and applications. The book will be equally handy for the scientists in various application areas where methods based on directional data are being recognized as crucial and critical tools. As this novel area gets recognized as an important topic within statistics, this book can also serve as an essential resource for students to learn from.

Statistical Methods For Directional Data

As the first book that systematically combines game theory and signal detection theory to provide a foundation for new research, Cooperation in Prisoners' Dilemmas provides a unique perspective on the topic of cooperation in decision making. This volume shows how contingent cooperators will evolve from any initial population through any payoff monotonic process (like replicator or logistic population dynamics), and remain stable to invasion by other players, including always defecting players. These properties are robust to mimicry and low quality signals, whenever they can be elicited from other players better than pure chance. These properties hold for pure one-shot prisoners' dilemmas: meaning no repeat interactions or information about past behavior is involved, all communication arises only from signals detected after strangers meet the first time; and no subjective preferences for fairness or reciprocity affect the raw dynamics. However, the raw dynamics will evolve such preferences if they motivate players to act contingently toward signals elicited from another player better than pure chance. Finally, the author concludes with derived predictions about the equilibrium frequency of cooperation.

Cooperation In Prisoners' Dilemmas: The Basic Case Of One-shot Prisoners' Dilemmas

Origami Engineering: Combining Science, Art, And Industry

This book covers complex analysis (the study of boundary behaviors of analytic functions) and its applications with engineering problems, especially control theory from the viewpoint of boundary functions. The metascience part is rather unique and illustrates a metascientific way of thinking engineering problems by examples of batteries which are cores of electric vehicles.This book gives a way of looking at the phenomena from a higher and brighter point of view through the windows of boundary behavior and metascience. In Chapter 1 which is meant for mathematics-oriented readers, we state materials in standard complex analysis with emphasis on similarity and Laurent expansions. Non-mathematical readers can also benefit by browsing through many examples and worked-out exercises. Chapter 2 gives some concrete examples of invoking novel ideas in the heap of stereo-typed contributions to a field. Possible replacement of LIB by ECaSS(R) is a typical example through which the reader can learn basics of electromagnetism and electrochemistry. The book also provides hints for a deeper understanding of environmental problems as well as how to manage and create a sustainable society.

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Chicago Price Theory, 2nd Edition

Dynamics of Democratic Elections

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