WORLDWIDE LOTTERY GAMES In Naturally Optimized Systems: Pick 5


Book Description

Worldwide Lottery Games In Naturally Optimized Systems Pick 5 has been developed on the authors’ initiative, based on the belief that nothing in the Universe happens by chance because there are laws governing everything, and by increasing our knowledge, we can triumph over mere chance. This is a book for players and/or groups of players (syndicates) who want to play to more than seventy lottery games from at least fifty countries over five continents, as: MEGA MILLIONS (U.S.A., Multi-State), POWERBALL (U.S.A., Multi-State), EUROMILLIONS (Europe, Multi-Country), EUROJACKPOT (Europe, Multi-Country), SUPER LOTTO (China), SIKKIM THUNDERBALL (India), THUNDERBALL (U.K.), LOTO (France) SANS TOPU (Turkey), EL GORDO (Spain), GOSLOTO 5 iz 36 (Russia), MINI LOTO (Japan), QUINA (Brazil) and so on. Worldwide Lottery Games In Naturally Optimized Systems Pick 5 contains 122 systems built with the help of original mathematical models. It is an original book comprising 51 simple variants systems, 38 pivoted variants systems and 33 combined variants systems for which the number of played numbers has values between 9 and 67 inclusive. Each system has its main characteristics, the winnings index and the unfolding on variants. The categories and the winnings will certainly be within the limits of one of the situations specified in the winnings index of the system used. All the playing systems selected in the present book are originally and naturally optimized, because the main parameters of the component combinatorial structures have optimal values. Therefore, 90 playing systems are at a level of absolute performance, which means with a smaller number of combinations, of the same category, it is not possible to get higher winnings indexes. The other 32 playing systems are at the highest level of current performance. More, all the playing systems are highly balanced. Experience in recent years has confirmed the value of the naturally optimized systems included in the book, through the numerous and substantial wins obtained by their help in many countries. Using the naturally optimized systems is a smart strategy for playing the lottery. FIVE ADVANTAGES OF NATURALLY OPTIMIZED SYSTEMS - Harmony with nature They are generated in harmony with nature, as they are based on the principles of balance, symmetry and proportion – fundamental principles of the creation, known everywhere in the world for thousands of years, which ensures their durability and high quality. - Optimum performance They are at a level of absolute performance, or at the highest level of current performance, as the main parameters of their combinatorial structures have optimum values. - Multi-system compatibility They are useful both to players and to groups of players worldwide, for lottery games of 5, 6 and 7 numbers in simple variant. - Guaranteed wins They help the lottery players to obtain guaranteed wins, strictly according to the previsions of the winnings indexes. - Accessibility They are easily accessible, can be understood by any player and their use does not require great effort, the action being made as simple as possible.







Introduction to Probability


Book Description

Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.




Rules of Play


Book Description

An impassioned look at games and game design that offers the most ambitious framework for understanding them to date. As pop culture, games are as important as film or television—but game design has yet to develop a theoretical framework or critical vocabulary. In Rules of Play Katie Salen and Eric Zimmerman present a much-needed primer for this emerging field. They offer a unified model for looking at all kinds of games, from board games and sports to computer and video games. As active participants in game culture, the authors have written Rules of Play as a catalyst for innovation, filled with new concepts, strategies, and methodologies for creating and understanding games. Building an aesthetics of interactive systems, Salen and Zimmerman define core concepts like "play," "design," and "interactivity." They look at games through a series of eighteen "game design schemas," or conceptual frameworks, including games as systems of emergence and information, as contexts for social play, as a storytelling medium, and as sites of cultural resistance. Written for game scholars, game developers, and interactive designers, Rules of Play is a textbook, reference book, and theoretical guide. It is the first comprehensive attempt to establish a solid theoretical framework for the emerging discipline of game design.







The Mathematics of Lottery


Book Description

This work is a complete mathematical guide to lottery games, covering all of the problems related to probability, combinatorics, and all parameters describing the lottery matrices, as well as the various playing systems. The mathematics sections describe the mathematical model of the lottery, which is in fact the essence of the lotto game. The applications of this model provide players with all the mathematical data regarding the parameters attached to the gaming events and personal playing systems. By applying these data, one can find all the winning probabilities for the play with one line (for each category in part or cumulatively), and how these probabilities change with playing the various types of systems containing several lines, depending on their structure. Also, each playing system has a formula attached that provides the number of possible multiple prizes in various circumstances. Other mathematical parameters of the playing systems and the correlations between them are also presented. The generality of the mathematical model and of the obtained formulas allows their application for any existent lottery (including variations like Keno) and any playing system. Each formula is followed by numerical results covering the most frequent lottery matrices worldwide and by multiple examples predominantly belonging to the 6/49 lottery. The listing of the numerical results in dozens of well-organized tables, along with instructions and examples of using them, makes possible the direct usage of this guide by players without a mathematical background. The author also discusses from a mathematical point of view the strategies of choosing involved in the lotto game. The book does not offer so-called winning strategies (proving that the only strategy is that of choosing), but helps players to better organize their own playing systems and to confront their own convictions (so many times based on false perceptions) with the incontestable reality offered by the direct applications of the mathematical model of the lotto game. As a must-have handbook for any lottery player, this book offers essential information about the game itself and can provide the basis for gaming decisions of any kind.




Lottery Master Guide


Book Description




Political Game Theory


Book Description

Political Game Theory is a self-contained introduction to game theory and its applications to political science. The book presents choice theory, social choice theory, static and dynamic games of complete information, static and dynamic games of incomplete information, repeated games, bargaining theory, mechanism design and a mathematical appendix covering, logic, real analysis, calculus and probability theory. The methods employed have many applications in various disciplines including comparative politics, international relations and American politics. Political Game Theory is tailored to students without extensive backgrounds in mathematics, and traditional economics, however there are also many special sections that present technical material that will appeal to more advanced students. A large number of exercises are also provided to practice the skills and techniques discussed.




Game Theory, Alive


Book Description

We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.




The Great Mental Models, Volume 1


Book Description

Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.