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1000 tulosta hakusanalla Gregory F. Randolph

Lectures on Contemporary Probability

Lectures on Contemporary Probability

Gregory F. Lawler; Lester N. Coyle

Amer Mathematical Society
1999
pokkari
This volume is based on classes in probability for advanced undergraduates held at the IAS/Park City Mathematics Institute (Utah). It is derived from both lectures (Chapters 1-10) and computer simulations (Chapters 11-13) that were held during the program. The material is coordinated so that some of the major computer simulations relate to topics covered in the first ten chapters. The goal is to present topics that are accessible to advanced undergraduates, yet are areas of current research in probability. The combination of the lucid yet informal style of the lectures and the hands-on nature of the simulations allows readers to become familiar with some interesting and active areas of probability. The first four chapters discuss random walks and the continuous limit of random walks: Brownian motion.Chapters 5 and 6 consider the fascinating mathematics of card shuffles, including the notions of random walks on a symmetric group and the general idea of random permutations. Chapters 7 and 8 discuss Markov chains, beginning with a standard introduction to the theory.Chapter 8 addresses the recent important application of Markov chains to simulations of random systems on large finite sets: Markov Chain Monte Carlo. Random walks and electrical networks are covered in Chapter 9. Uniform spanning trees, as connected to probability and random walks, are treated in Chapter 10. The final three chapters of the book present simulations. Chapter 11 discusses simulations for random walks.Chapter 12 covers simulation topics such as sampling from continuous distributions, random permutations, and estimating the number of matrices with certain conditions using Markov Chain Monte Carlo. Chapter 13 presents simulations of stochastic differential equations for applications in finance. (The simulations do not require one particular piece of software. They can be done in symbolic computation packages or via programming languages such as C.) The volume concludes with a number of problems ranging from routine to very difficult. Of particular note are problems that are typical of simulation problems given to students by the authors when teaching undergraduate probability.
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Random Walk and the Heat Equation

Random Walk and the Heat Equation

Gregory F. Lawler

American Mathematical Society
2010
nidottu
The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an approach that has brought many significant results and a deep understanding of the equation and its solutions. By studying the heat equation by considering the individual random particles, however, one gains further intuition into the problem. While this is now standard for many researchers, this approach is generally not presented at the undergraduate level. In this book, Lawler introduces the heat equation and the closely related notion of harmonic functions from a probabilistic perspective. The theme of the first two chapters of the book is the relationship between random walks and the heat equation. The first chapter discusses the discrete case, random walk and the heat equation on the integer lattice; and the second chapter discusses the continuous case, Brownian motion and the usual heat equation. Relationships are shown between the two. For example, solving the heat equation in the discrete setting becomes a problem of diagonalization of symmetric matrices, which becomes a problem in Fourier series in the continuous case. Random walk and Brownian motion are introduced and developed from first principles. The latter two chapters discuss different topics: martingales and fractal dimension, with the chapters tied together by one example, a random Cantor set. The idea of this book is to merge probabilistic and deterministic approaches to heat flow. It is also intended as a bridge from undergraduate analysis to graduate and research perspectives. The book is suitable for advanced undergraduates, particularly those considering graduate work in mathematics or related areas.
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Making Sense of Transnational Threats

Making Sense of Transnational Threats

Gregory F Treverton

RAND
2005
pokkari
The CIA's Global Futures Partnership and the RAND Corporation convened a series of four one-day workshops to examine how to better integrate alternative analysis into the analytic process. The basic assumption of the workshops was that "transnational" issues, such as terrorism, present a different set of analytic challenges than more traditional intelligence topics targeted primarily on nation states. This document contains the reports from those four workshops.
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State and Local Intelligence in the War on Terrorism

State and Local Intelligence in the War on Terrorism

Gregory F. Treverton; Jack K. Riley; Jeremy M. Wilson; Lois M. Davis

RAND
2005
pokkari
Examines how state and local law enforcement agencies conducted and supported counterterrorism intelligence activities after 9/11. The report analyzes data from a 2002 survey of law enforcement preparedness in the context of intelligence, shows how eight local law enforcement agencies handle intelligence operations, and suggests ways that the job of gathering and analyzing intelligence might best be shared among federal, state, and local agencies.
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Toward Theory of Intelligence

Toward Theory of Intelligence

Gregory F. Treverton

RAND
2006
pokkari
In June 2005, the RAND Corporation and the Office of the Director of National Intelligence convened a one-day workshop to discuss how theories underlie U.S. intelligence work and might lead to a better understanding and practice of intelligence.
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Assessing the Tradecraft of Intelligence Analysis

Assessing the Tradecraft of Intelligence Analysis

Gregory F. Treverton; C. Bryan Gabbard

RAND
2008
pokkari
This report assesses intelligence analysis across the main U.S. intelligence agencies and makes a number of recommendations, some of which parallel initiatives that have begun in the wake of the December 2004 legislation, for instance, create a Deputy Director of National Intelligence as a focal point for analysis, establish a National Intelligence University, build a Long Term Analysis Unit at the National Intelligence Council, and form an Open Source Center for making more creative use of open-source materials.
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Assessing Counterterrorism-focused Domestic Intelligence

Assessing Counterterrorism-focused Domestic Intelligence

Gregory F. Treverton

RAND
2008
pokkari
One of the questions in the fight against terrorism is whether the United States needs a counterterrorism domestic intelligence agency separate from law enforcement. Drawing on an analysis of current counterterrorism efforts, an examination the domestic intelligence agencies in six other democracies, and interviews with intelligence and law enforcement experts, this volume lays out the relevant considerations for creating such an agency.This volume examines counterterrorism-focused domestic intelligence in the United States and discusses the pros and cons of creating a new, dedicated domestic intelligence agency, on the model of several comparable democracies.
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Moving Toward the Future of Policing

Moving Toward the Future of Policing

Gregory F. Treverton; Matt Wollman; Elizabeth Wilke; Deborah Lai

RAND
2011
pokkari
Some police forces believe that 20 years from now they will operate much as they do today, but advances in technology and operating concepts are driving significant changes in day-to-day police operations. This book explores potential visions of the future of policing, based on the drivers of jurisdiction, technology, and threat, and includes concrete steps for implementation. This analysis is based on a review of policing methods and theories from the 19th century to the present day. Recommendations include educating personnel and leaders to build internal support for change, transitioning to shared technical platforms, and leveraging winning technologies. Because criminals will also use new technology that becomes available, the key to the future of policing will not be the technology itself; it will be the ways in which police forces adapt the technology to their needs.
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Mystery of E Troop

Mystery of E Troop

Gregory F. Michno

Mountain Press
1994
nidottu
The men of Company E rode big gray horses that stood out amidst the confusion during the afternoon of June 25, 1876. Twenty-eight of these men were found dead in a ravine after the fighting ceased. But which ravine? Why couldn't the army find their bones only a few years later? Why didn't archaeological excavations uncover any remains? The answers, finally, are at hand.
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Encyclopedia of Indian Wars

Encyclopedia of Indian Wars

Gregory F. Michno

Mountain Press
2003
nidottu
After years of research, independent history scholar Gregory Michno has created a chronological listing of every significant fight between Indians and the United States Army, as well as better-known Indian battles with civilians. In addition, Michno interprets the data to reveal patterns and draw conclusions, some of which challenge the current orthodoxy among historians, such as the revisionist contention that the "wild" West is a myth. Numerous maps, photogrpahs, and tables supplement the text to enhance the reader's understanding. This detailed study is more than a reference book: it's an illuminating portrayal of a violent era and a compelling examination of the machinations of frontier warfare.
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The Vegan Evolution

The Vegan Evolution

Gregory F. Tague

TAYLOR FRANCIS LTD
2022
nidottu
Arguing for a vegan economy, this book explains how we can and should alter our eating habits away from meat and dairy through sociocultural evolution.Using the latest research and ideas about the cultural ecology of food, this book makes the case that through biological and, especially, cultural evolution, the human diet can gravitate away from farmed meat and dairy products. The thrust of the writing demonstrates that because humans are a cultural species, and since we are evolving more culturally than biologically, it stands to reason for health and environmental reasons that we develop a vegan economy. The book shows that for many good reasons we don’t need a diet of meat and dairy and a call is made to legislative leaders, policy makers, and educators to shift away from animal farming and inform people about the advantages of a vegan culture. The bottom line is that we have to start thinking collectively about smarter ways of growing and processing plant foods, not farming animals as food, to generate good consequences for health, the environment, and, therefore, animals. This is an attainable and worthy goal given the mental and physical plasticity of humans through cooperative cultural evolution.This book is essential reading for all interested in veganism, whether for ethical, environmental, or health reasons, and those studying the human diet from a range of disciplines, including cultural evolution, food ecology, animal ethics, food and nutrition, and evolutionary studies.
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