Chases and Escapes

Chases and Escapes

Ideal both for self-study and as supplemental readings by students and/or professors in any of the mathematical and physical sciences, this text presents the historical development of the differential equations of pursuit theory.

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 9780691155012

Category: Mathematics

Page: 272

View: 438

Ideal both for self-study and as supplemental readings by students and/or professors in any of the mathematical and physical sciences, this text presents the historical development of the differential equations of pursuit theory.
Categories: Mathematics

Chases and Escapes

Chases and Escapes

Chases and escapes'' are activities that might be said to define human existence
, no matter where or when, ranging over the entire spectrum of violence from the
romantic pursuit of a future spouse to the military pursuit of a target to be ...

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 9781400842063

Category: Mathematics

Page: 272

View: 848

We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day. Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an array of challenging puzzles with their historical background and broader applications. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis. Now with a gripping new preface on how the Enola Gay escaped the shock wave from the atomic bomb dropped on Hiroshima, this book will appeal to anyone interested in the mathematics that underlie pursuit and evasion. Some images inside the book are unavailable due to digital copyright restrictions.
Categories: Mathematics

Group Chase and Escape

Group Chase and Escape

This book presents a unique fusion of two different research topics.

Author: Atsushi Kamimura

Publisher: Springer Nature

ISBN: 9789811517310

Category: Mathematics

Page: 119

View: 205

This book presents a unique fusion of two different research topics. One is related to the traditional mathematical problem of chases and escapes. The problem mainly deals with a situation where a chaser pursues an evader to analyze their trajectories and capture time. It dates back more than 300 years and has developed in various directions such as differential games. The other topic is the recently developing field of collective behavior, which investigates origins and properties of emergent behavior in groups of self-driving units. Applications include schools of fish, flocks of birds, and traffic jams. This book first reviews representative topics, both old and new, from these two areas. Then it presents the combined research topic of "group chase and escape", recently proposed by the authors. Although the combination is simple and straightforward, the book describes the emergence of rather intricate behavior, provoking the interest of readers for further developments and applications of related topics.
Categories: Mathematics

Police Pursuit Driving

Police Pursuit Driving

Cross - Tabulation of Escape / No Escape with Number of Police Units 2 - 3 Units
1 Unit Escaped 23 61 18 % 31 % No ... 008 Table 4c indicates only a slight
difference in the percentage of escapes between chases conducted at night and
 ...

Author: Geoffrey P. Alpert

Publisher: Praeger

ISBN: STANFORD:36105034790449

Category: Social Science

Page: 185

View: 522

Using the analogy between improper use of firearms and improper pursuit driving, Alpert and Dunham analyze the police car as a potentially dangerous weapon. The book is based upon information gathered over several years in Dade County (Miami), Florida. The data, which includes details of deaths, injuries, and property damage as well as arrests and apprehensions of felony suspects, are presented not to scare the reader, but to assist the public, members of the law enforcement community, and politicians to understand more clearly the role of pursuit in policing and crime control.
Categories: Social Science

Chase California Codes

Chase California Codes

Penalty for Escape of Prisoner 586 ; Escape A.Dig . $ 11 ; McK.D. $ 3 . for Less
Than Life While Being Conveyed 84533. Penalty for Aiding Escape by to Prison .
— Every prisoner committed to a Officer . - Every keeper of a prison , sheriff ,
State ...

Author: California

Publisher:

ISBN: UCAL:B3907224

Category: Civil law

Page:

View: 887

Categories: Civil law

European Mink Mustela Lutreola

European Mink  Mustela Lutreola

( a ) Male European mink ( b ) Female European mink Ô Aggressive Approach
Chase Def.Threat Escape Aggressive Approach Chase Def.Threat Am Am
Escape 298 169 Aggressive Approach Chase Aggressive Aggressive Approach
Chase ...

Author: David Whyte Macdonald

Publisher:

ISBN: CORNELL:31924097725943

Category: European mink

Page: 121

View: 299

Categories: European mink

Proceedings of the Annual Conference Southeastern Association of Game and Fish Commissioners

Proceedings of the Annual Conference  Southeastern Association of Game and Fish Commissioners

Chase durations and distances are summarized in Table 2 . TABLE 2 . Time
elapsed and distance covered in experimental chases resulting in the escape of
radio - equipped deer from hunting hounds . Deer Number Number of chases ...

Author: Southeastern Association of Game and Fish Commissioners

Publisher:

ISBN: UOM:39015005849248

Category: Fishing

Page:

View: 186

Categories: Fishing

Proceedings of the International Computer Music Conference

Proceedings of the     International Computer Music Conference

Agent 2 Field of Vision ( Viow ) IF nearest agent in purview is smaller THEN
chase and eat to enlarge IF nearest agent in purview is larger THEN escape to
survive Pallette Interface : This area is the interface for defining new agent
species .

Author:

Publisher:

ISBN: UCSD:31822034970335

Category: Computer composition

Page:

View: 532

Categories: Computer composition

Journal of Police Science and Administration

Journal of Police Science and Administration

... and 143 ( 58 percent ) of these ended in an arrest , while 96 ( 39 percent )
ended in an escape . Sixty - three accidents were the result of the 246 traffic -
related pursuits ( 26 percent ) , and two offenders were killed in these types of
chases .

Author:

Publisher:

ISBN: UOM:39015078432419

Category: Police

Page:

View: 873

Categories: Police

Journal

Journal

There appears to be sufficient evidence indicating that dogs chase deer for
greater periods and longer distances than do wolves , sometimes forcing the
deer to adopt unusual behavior to achieve escape . What , then , are the effects of
such ...

Author: Minnesota Academy of Sciences

Publisher:

ISBN: CHI:21561659

Category:

Page:

View: 832

Categories:

IEEE Virtual Reality Annual International Symposium September 18 22 1993 Seattle Washington

IEEE Virtual Reality Annual International Symposium  September 18 22  1993  Seattle  Washington

This FCM leads to chases , escapes , and other interactions between the actors .
A hungry shark chasing the dolphins leads to the limit cycle in section 2 .
Augmenting the FCM matrices gives a large but sparse FCM since the actors
respond to ...

Author:

Publisher: Institute of Electrical & Electronics Engineers(IEEE)

ISBN: 0780313631

Category: Computers

Page: 527

View: 108

Categories: Computers

Mainstream

Mainstream

... the " game " cannot escape the stresses of frequent chases . operators
admitted to having coyotes in their encloWhen captures do ... compounds .
escapes have been cut off constitutes one of America's most shameful forms of
animal abuse .

Author:

Publisher:

ISBN: PSU:000069844447

Category: Animal welfare

Page:

View: 821

Categories: Animal welfare

Papers on Game research

Papers on Game research

After this the chase continues , according to my observations , in the manner
characteristic of all aerial chases . ... In the course of the chase the escape often
turns into an aerial chase , which at this stage may be joined by several other
near ...

Author:

Publisher:

ISBN: MINN:31951P00124036J

Category: Game and game-birds

Page:

View: 911

Categories: Game and game-birds

Der englische Spionageroman

Der englische Spionageroman

Into what essentially was still the old - style - hokum - the gunplay , kidnapping ,
chases , escapes and so forth – was elaborately insinuated the proposition that
not only were these things happening in very truth , but they were unavoidable ...

Author: Jens Peter Becker

Publisher:

ISBN: UOM:39015030941192

Category: English fiction

Page: 202

View: 567

Categories: English fiction

The American Film Institute Catalog of Motion Pictures

The American Film Institute Catalog of Motion Pictures

After tending to the wounded Joe , Rod and the police chase Frank to the
drawbridge , where he is killed climbing the ... Marshals . Murder . Bankers .
Brothers and sisters . Chases . Escapes . Family relationships . Frame - ups .
Gunfights .

Author: American Film Institute

Publisher:

ISBN: PSU:000046327413

Category: Feature films

Page:

View: 111

Categories: Feature films

Beowulf in Hollywood

Beowulf in Hollywood

In The Fugitive the chase theme underscores the entire film , of course , but three
distinct chase “ units " - each tied to the three distinct escapes - punctuate the
story.25 The first escape ( from Gerard ) speeds along from automobile to foot ...

Author: Donald Le Roy Vallis

Publisher:

ISBN: UCAL:C3487064

Category: Beowulf

Page: 384

View: 117

This study argues that Hollywood genre films are often little more than contemporary social folktales and legends. These films present their stories in the same ways as oral folkloric narratives always have; they are composed with the same formulaic patterns; and they bear a remarkable resemblance to the form of oral folkloric narrative. And, in spite of the technical conditions of film production, the conditions of reception are not that fundamentally different. Films are seen and heard--not read--and, therefore, like oral stories, require no literacy to be either disseminated or, more importantly, consumed.
Categories: Beowulf

Sea Chase

Sea Chase

However , if you were to escape . . . . Yes , that would be different . It happens .
When we launch a raid on a government target or change campsites , it takes our
attention away from our prisoners . There have been escapes before . The others
 ...

Author: Curtis Parkinson

Publisher: Tundra Books

ISBN: 088776682X

Category: Juvenile Fiction

Page: 185

View: 546

Fifteen-year-old Brodie wakes up to discover his father is missing from the small yacht that the two were going to sail across the Pacific, and the nearest help is in Colombia, South America.
Categories: Juvenile Fiction

The Bismarck Chase

The Bismarck Chase

The British force broke off their pursuit and scattered to escape the heavy gunfire
. The Prinz Eugen continued at high speed on her southerly course , and she was
soon beyond radar range of the British , making good her escape . The last ...

Author: Robert J. Winklareth

Publisher: Naval Inst Press

ISBN: WISC:89065167280

Category: History

Page: 188

View: 174

On 24 May 1941 one of the most famous naval engagements of World War II--the sinking of the battlecruiser HMS Hood by the German battleship Bismarck--took place in the Denmark Strait and people have been arguing about it ever since. In this book a professional defense analyst offers an original and highly credible explanation of the battle based on extensive computer modeling. He argues that instead of pursuing a straight course throughout the battle as previously thought, Bismarck and Prinz Eugen made two major course changes that the commander of the Hood had to respond to. He explains how the gunners aboard the Hood initially mistook the smaller Prinz Eugen for the much-larger Bismarck and fired several salvoes before they realized their error. Photographs of Bismarck taken from Prinz Eugen during the battle are, for the first time, printed in their proper orientation and chronological sequence, correcting earlier misinterpretations of the actions. The book covers the entire Bismarck campaign, from the genesis of the revived German Navy in the 1930s to the final sinking of the Bismarck three days after the loss of the Hood. The actions of both sides are comprehensively explained to give a clear and accurate account of the legendary campaign.
Categories: History