Geometry, Language and Strategy

Geometry, Language and Strategy

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  • Author: Gerald Harper Thomas
  • Publisher: World Scientific
  • ISBN: 9812566171
  • Category : Mathematics
  • Languages : en
  • Pages : 256

Geometry, Language and Strategy is a way of looking at game theory or strategic decision-making from a scientific perspective, using standard equations from the fields of engineering and physics. To better approximate reality, it extends game theory beyond the two-player set piece.The book begins where former game theory literature ends ? with multi-person games on a world stage. It encompasses many of the variables encountered in strategic planning, using mathematics borrowed from physics and engineering, rather than the economic models which have not proven to be good in predicting reality.


Advances in Architectural Geometry 2023

Advances in Architectural Geometry 2023

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  • Author: Kathrin Dörfler
  • Publisher: Walter de Gruyter GmbH & Co KG
  • ISBN: 3111162680
  • Category : Architecture
  • Languages : en
  • Pages : 484

This book contains 34 technical papers presented at the Advances in Architectural Geometry Conference held in Stuttgart 2023. Modern geometric computing increasingly plays a role in modeling environments and processing sensing information, providing a variety of tools for the efficient design, analysis, and manufacturing of complex shapes. The research area of architectural geometry (AG) has emerged at the common border of architecture, applied geometry, computational design, mathematics, and manufacturing. This book presents the state of the art of research in AG.


Shape

Shape

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  • Author: Jordan Ellenberg
  • Publisher: Penguin
  • ISBN: 1984879065
  • Category : Mathematics
  • Languages : en
  • Pages : 481

An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.


Geometry and Statistics

Geometry and Statistics

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  • Author:
  • Publisher: Academic Press
  • ISBN: 0323913466
  • Category : Mathematics
  • Languages : en
  • Pages : 490

Geometry and Statistics, Volume 46 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Handbook of Statistics series - Updated release includes the latest information on Geometry and Statistics


Kiselev's Geometry

Kiselev's Geometry

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  • Author: Andreĭ Petrovich Kiselev
  • Publisher:
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 192

This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.


On the Hypotheses Which Lie at the Bases of Geometry

On the Hypotheses Which Lie at the Bases of Geometry

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  • Author: Bernhard Riemann
  • Publisher: Birkhäuser
  • ISBN: 3319260421
  • Category : Mathematics
  • Languages : en
  • Pages : 181

This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.


Geometry, Language And Strategy: The Dynamics Of Decision Processes - Volume 2

Geometry, Language And Strategy: The Dynamics Of Decision Processes - Volume 2

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  • Author: Gerald H Thomas
  • Publisher: World Scientific
  • ISBN: 9814719943
  • Category : Mathematics
  • Languages : en
  • Pages : 853

The first volume, Geometry, Language and Strategy, extended the concepts of Game Theory, replacing static equilibrium with a deterministic dynamic theory. The first volume opened up many applications that were only briefly touched on. To study the consequences of the deterministic approach in contrast to standard Bayesian approaches, the richness of applications, requires an engineering foundation and discipline, which this volume supplies. It provides a richer list of applications, such as the Prisoner's Dilemma, which extends the resonant behavior of Vol. 1 to more general time-dependent and transient behaviors.


Fractal Geometry

Fractal Geometry

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  • Author: J M Blackledge
  • Publisher: Elsevier
  • ISBN: 0857099590
  • Category : Mathematics
  • Languages : en
  • Pages : 245

International authorities from Canada, Denmark, England, Germany, Russia and South Africa focus on research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis. They address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry: i.e., remote sensing, mapping, texture creations, pattern recognition, image compression, aeromechanical systems, cryptography and financial analysis. Economically priced, this important and authoritative reference source for research and study cites over 230 references to the literature, copiously illustrated with over 320 diagrams and photographs. The book is published for The Institute of Mathematics and its Applications, co-sponsored with The Institute of Physics and The Institution of Electrical Engineers. - Outlines research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis - International authorities from around the world address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry - Addresses applications in key research fields of remote sensing, mapping, texture creations, pattern recognition, image compression, aeromechanical systems, cryptography and financial analysis


Algebraic Geometry

Algebraic Geometry

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  • Author: Dan Abramovich
  • Publisher: American Mathematical Soc.
  • ISBN: 0821847023
  • Category : Mathematics
  • Languages : en
  • Pages : 506

This volume contains research and expository papers by some of the speakers at the 2005 AMS Summer Institute on Algebraic Geometry. Numerous papers delve into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties.


Control of Variable-Geometry Vehicle Suspensions

Control of Variable-Geometry Vehicle Suspensions

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  • Author: Balázs Németh
  • Publisher: Springer Nature
  • ISBN: 303130537X
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 183

This book provides a thorough and fresh treatment of the control of innovative variable-geometry vehicle suspension systems. A deep survey on the topic, which covers the varying types of existing variable-geometry suspension solutions, introduces the study. The book discusses three important aspects of the subject: • robust control design; • nonlinear system analysis; and • integration of learning and control methods. The importance of variable-geometry suspensions and the effectiveness of design methods implemented in the autonomous functionalities of electric vehicles—functionalities like independent steering and torque vectoring—are illustrated. The authors detail the theoretical background of modeling, control design, and analysis for each functionality. The theoretical results achieved through simulation examples and hardware-in-the-loop scenarios are confirmed. The book highlights emerging ideas of applying machine-learning-based methods in the control system with guarantees on safety performance. The authors propose novel control methods, based on the theory of robust linear parameter-varying systems, with examples for various suspension systems. Academic researchers interested in automotive systems and their counterparts involved in industrial research and development will find much to interest them in the eleven chapters of Control of Variable-Geometry Vehicle Suspensions.