Defense Positioning And Geometry

Download or read book Defense Positioning and Geometry written by Raj Gupta and published by Brookings Institution Press. This book was released on 2010-12-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the dissolution of the Warsaw Pact in Europe and the end of the Cold war, many of the long-standing political and ideological obstacles to minimizing force levels have been removed. The overriding issue is no longer who commands the greatest force divisions; rather, the immediate concern is to establish a minimum threshold to which nations may reduce their force levels and still retain a meaningful defense. In this book, Raj Gupta examines the geometry and positioning of conventional forces, especially at low force levels. Defense Positioning and Geometry uncovers certain spatial relationships that the defending commander must abide by for an effective defense and shows how they can be exploited to construct stable military balances and reduce forces to minimum levels. The author considers a number of important questions that must be addressed to establish a new order of low force levels, such as: What is the absolute minimum force density necessary for a coherent and robust defense? How deep can mutual cuts go without irreparably damaging defense capability and upsetting conventional stability? How should an arms control treaty that cuts deployed forces by 50 percent or more be structured? There is an urgency to develop general, universally applicable principles that dictate how conventional forces should be optimally structured. Such principles, once defined, are certainly applicable directly on the battlefield—in the civil wars in Yugoslavia and the Commonwealth of Independent States, and in the Iraqi invasion of Kuwait and the subsequent response. However, as the author demonstrates, these fundamental defense positioning rules can be employed more constructively in the task of dismantling the redundant firepower amassed by NATO, the Warsaw Pact countries, the Middle East, North and South Korea, and the China-India-Pakistan axis. The book shows how knowledge of the ideal force geometry at low force levels makes it possible to dete

Download or read book ICGG 2024 - Proceedings of the 21st International Conference on Geometry and Graphics written by Kazuki Takenouchi and published by Springer Nature. This book was released on with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Operations Research, Computing, and Homeland Defense written by R. Kevin Wood and published by INFORMS. This book was released on 2011 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is published in conjunction with the 12th Computing Society Conference, held January 9, 2011, in Monterey, California. The themes of the conference and this book are operations research, computing, and homeland defense. The papers cover topics on the theory of computing, mathematical programming, game theory, statistics and more; over half have applications to homeland defense.

Download or read book An address in defence of Euclid's Elements of Geometry as a class-book for students, ... in answer to an unfavourable representation of the work by J. M. Wilson, etc written by George LEES and published by . This book was released on 1870 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Soccermatics written by David Sumpter and published by Bloomsbury Publishing. This book was released on 2016-05-05 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Football looked at in a very different way' Pat Nevin, former Chelsea and Everton star and football media analyst Football – the most mathematical of sports. From shot statistics and league tables to the geometry of passing and managerial strategy, the modern game is filled with numbers, patterns and shapes. How do we make sense of them? The answer lies in the mathematical models applied in biology, physics and economics. Soccermatics brings football and mathematics together in a mind-bending synthesis, using numbers to help reveal the inner workings of the beautiful game. This new and expanded edition analyses the current big-name players and teams using mathematics, and meets the professionals working inside football who use numbers and statistics to boost performance. Welcome to the world of mathematical modelling, expressed brilliantly by David Sumpter through the prism of football. No matter who you follow – from your local non-league side to the big boys of the Premiership, La Liga, the Bundesliga, Serie A or the MLS – you'll be amazed at what mathematics has to teach us about the world's favourite sport.

Download or read book Joint Operational Warfare written by Milan N. Vego and published by Government Printing Office. This book was released on 2009 with total page 1496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Smallholder farmers and pastoralists fulfil an invaluable yet undervalued role in conserving biodiversity. They act as guardians of locally adapted livestock breeds that can make use of even marginal environments under tough climatic conditions and therefore are a crucial resource for food security. But in addition, by sustaining animals on natural vegetation and as part of local ecosystems, these communities also make a significant contribution to the conservation of wild biodiversity and of cultural landscapes. This publication provides a glimpse into the often intricate knowledge systems that pastoralists and smallholder farmers have developed for the management of their breeds in specific production systems and it also describes the multitude of threats and challenges these often marginalized communities have to cope with.

Download or read book Kant’s Philosophy of Mathematics written by C.J. Posy and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kant's views about mathematics were controversial in his own time, and they have inspired or infuriated thinkers ever since. Though specific Kantian doctrines fell into disrepute earlier in this century, the past twenty-five years have seen a surge of interest in and respect for Kant's philosophy of mathematics among both Kant scholars and philosophers of mathematics. The present volume includes the classic papers from the 1960s and 1970s which spared this renaissance of interest, together with updated postscripts by their authors. It also includes the most important recent work on Kant's philosophy of mathematics. The essays bring to bear a wealth of detailed Kantian scholarship, together with powerful new interpretative tools drawn from modern mathematics, logic and philosophy. The cumulative effect of this collection upon the reader will be a deeper understanding of the centrality of mathematics in all aspects of Kant's thought and a renewed respect for the power of Kant's thinking about mathematics. The essays contained in this volume will set the agenda for further work on Kant's philosophy of mathematics for some time to come.