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Language: English
Published by Springer International Publishing AG, CH, 2024
ISBN 10: 3031448200 ISBN 13: 9783031448201
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Hardback. Condition: New. 2024 ed. This book offers a thought-provoking exploration of dynamic geometry and its connections to self-reference and theoretical biology. The authors explore how a self-referential boundary can be translated into remarkable relations between expanding geometrical forms, with a particular focus on triangles and circles.The essence of this work lies in revealing not only how these forms expand and interact with others but also how their interactions lead to closed loops of definitions between processes, where triangles and circles reciprocally define one another. These unique geometrical relations offer fresh perspectives on the interaction and emergence of forms. Through the introduction of time and a fixed velocity of expansions, a rich tapestry of encounters and coalescences unfolds, pushing beyond the boundaries of traditional insights on context dependence and state transitions of systems.These captivating movements elude prediction other than by numerical approximation within unpredictable durations. Unlike cellular automata, they defy stepwise progression on a predefined grid, presenting themselves as unprogrammable construction processes that leave readers in awe of their unexpected elegance.This book is essential reading for researchers and students in theoretical biology seeking to deepen their understanding of the intersections of geometry and systems theory and seeking to gain new insights into the processes that underlie the origination of complexity."What is unique to the authors' attempt is to shed a new light on extending the notion of cohesive interaction so as to make it applicable even to biology at large without offending the established physics so far. To the best of my knowledge, their work has been the first attempt of this kind in explicating the intricate relationship between geometric topology of the network and the realizable temporal cohesion to be observed widely in biology." (Professor Koichiro Matsuno, 1st foreword to this book) "I am delighted that the authors use Robert Rosen's (M,R)-systems - impredicative networks that are inherently geometrical - to illustrate (see Chapter 4 of this book) their self-referential systems of geometrical expansions." (dr. Aloisius Louie, 2nd foreword to this book).
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Add to basketHardcover. Condition: Brand New. 122 pages. 9.26x6.10x0.43 inches. In Stock.
Language: English
Published by Springer International Publishing AG, Cham, 2024
ISBN 10: 3031448200 ISBN 13: 9783031448201
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Hardcover. Condition: new. Hardcover. This book offers a thought-provoking exploration of dynamic geometry and its connections to self-reference and theoretical biology. The authors explore how a self-referential boundary can be translated into remarkable relations between expanding geometrical forms, with a particular focus on triangles and circles.The essence of this work lies in revealing not only how these forms expand and interact with others but also how their interactions lead to closed loops of definitions between processes, where triangles and circles reciprocally define one another. These unique geometrical relations offer fresh perspectives on the interaction and emergence of forms. Through the introduction of time and a fixed velocity of expansions, a rich tapestry of encounters and coalescences unfolds, pushing beyond the boundaries of traditional insights on context dependence and state transitions of systems.These captivating movements elude prediction other than by numerical approximation within unpredictable durations. Unlike cellular automata, they defy stepwise progression on a predefined grid, presenting themselves as unprogrammable construction processes that leave readers in awe of their unexpected elegance.This book is essential reading for researchers and students in theoretical biology seeking to deepen their understanding of the intersections of geometry and systems theory and seeking to gain new insights into the processes that underlie the origination of complexity."What is unique to the authors' attempt is to shed a new light on extending the notion of cohesive interaction so as to make it applicable even to biology at large without offending the established physics so far. To the best of my knowledge, their work has been the first attempt of this kind in explicating the intricate relationship between geometric topology of the network and the realizable temporal cohesion to be observed widely in biology." (Professor Koichiro Matsuno, 1st foreword to this book) "I am delighted that the authors use Robert Rosen's (M,R)-systems impredicative networks that are inherently geometrical to illustrate (see Chapter 4 of this book) their self-referential systems of geometrical expansions." (dr. Aloisius Louie, 2nd foreword to this book) Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Language: English
Published by Springer Nature Switzerland, 2024
ISBN 10: 3031448200 ISBN 13: 9783031448201
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Condition: New. Offers a thought-provoking exploration of dynamic geometry and its connections to self-reference and theoretical biologyFocuses on triangles and circlesProvides new insights into the processes that underlie the origination of complexity.
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Taschenbuch. Condition: Neu. Movements of Form | Joachim H. Mowitz (u. a.) | Taschenbuch | Vision, Illusion and Perception | xv | Englisch | 2025 | Springer | EAN 9783031448232 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Add to basketHardcover. Condition: Brand New. 122 pages. 9.26x6.10x0.43 inches. In Stock.
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Published by Springer International Publishing AG, CH, 2024
ISBN 10: 3031448200 ISBN 13: 9783031448201
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Add to basketHardback. Condition: New. 2024 ed. This book offers a thought-provoking exploration of dynamic geometry and its connections to self-reference and theoretical biology. The authors explore how a self-referential boundary can be translated into remarkable relations between expanding geometrical forms, with a particular focus on triangles and circles.The essence of this work lies in revealing not only how these forms expand and interact with others but also how their interactions lead to closed loops of definitions between processes, where triangles and circles reciprocally define one another. These unique geometrical relations offer fresh perspectives on the interaction and emergence of forms. Through the introduction of time and a fixed velocity of expansions, a rich tapestry of encounters and coalescences unfolds, pushing beyond the boundaries of traditional insights on context dependence and state transitions of systems.These captivating movements elude prediction other than by numerical approximation within unpredictable durations. Unlike cellular automata, they defy stepwise progression on a predefined grid, presenting themselves as unprogrammable construction processes that leave readers in awe of their unexpected elegance.This book is essential reading for researchers and students in theoretical biology seeking to deepen their understanding of the intersections of geometry and systems theory and seeking to gain new insights into the processes that underlie the origination of complexity."What is unique to the authors' attempt is to shed a new light on extending the notion of cohesive interaction so as to make it applicable even to biology at large without offending the established physics so far. To the best of my knowledge, their work has been the first attempt of this kind in explicating the intricate relationship between geometric topology of the network and the realizable temporal cohesion to be observed widely in biology." (Professor Koichiro Matsuno, 1st foreword to this book) "I am delighted that the authors use Robert Rosen's (M,R)-systems - impredicative networks that are inherently geometrical - to illustrate (see Chapter 4 of this book) their self-referential systems of geometrical expansions." (dr. Aloisius Louie, 2nd foreword to this book).
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Buch. Condition: Neu. Movements of Form | Joachim H. Mowitz (u. a.) | Buch | Vision, Illusion and Perception | xv | Englisch | 2024 | Springer | EAN 9783031448201 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.
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Language: English
Published by Springer, Springer Mär 2025, 2025
ISBN 10: 3031448235 ISBN 13: 9783031448232
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book offers a thought-provoking exploration of dynamic geometry and its connections to self-reference and theoretical biology. The authors explore how a self-referential boundary can be translated into remarkable relations between expanding geometrical forms, with a particular focus on triangles and circles.The essence of this work lies in revealing not only how these forms expand and interact with others but also how their interactions lead to closed loops of definitions between processes, where triangles and circles reciprocally define one another. These unique geometrical relations offer fresh perspectives on the interaction and emergence of forms. Through the introduction of time and a fixed velocity of expansions, a rich tapestry of encounters and coalescences unfolds, pushing beyond the boundaries of traditional insights on context dependence and state transitions of systems.These captivating movements elude prediction other than by numerical approximation within unpredictable durations. Unlike cellular automata, they defy stepwise progression on a predefined grid, presenting themselves as unprogrammable construction processes that leave readers in awe of their unexpected elegance.This book is essential reading for researchers and students in theoretical biology seeking to deepen their understanding of the intersections of geometry and systems theory and seeking to gain new insights into the processes that underlie the origination of complexity.'What is unique to the authors' attempt is to shed a new light on extending the notion of cohesive interaction so as to make it applicable even to biology at large without offending the established physics so far. To the best of my knowledge, their work has been the first attempt of this kind in explicating the intricate relationship between geometric topology of the network and the realizable temporal cohesion to be observed widely in biology.' (Professor Koichiro Matsuno, 1st foreword to this book)'I am delighted that the authors use Robert Rosen's (M,R)-systems - impredicative networks that are inherently geometrical - to illustrate (see Chapter 4 of this book) their self-referential systems of geometrical expansions.' (dr. Aloisius Louie, 2nd foreword to this book)Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 124 pp. Englisch.
Language: English
Published by Springer, Springer Feb 2024, 2024
ISBN 10: 3031448200 ISBN 13: 9783031448201
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book offers a thought-provoking exploration of dynamic geometry and its connections to self-reference and theoretical biology. The authors explore how a self-referential boundary can be translated into remarkable relations between expanding geometrical forms, with a particular focus on triangles and circles.The essence of this work lies in revealing not only how these forms expand and interact with others but also how their interactions lead to closed loops of definitions between processes, where triangles and circles reciprocally define one another. These unique geometrical relations offer fresh perspectives on the interaction and emergence of forms. Through the introduction of time and a fixed velocity of expansions, a rich tapestry of encounters and coalescences unfolds, pushing beyond the boundaries of traditional insights on context dependence and state transitions of systems.These captivating movements elude prediction other than by numerical approximation within unpredictable durations. Unlike cellular automata, they defy stepwise progression on a predefined grid, presenting themselves as unprogrammable construction processes that leave readers in awe of their unexpected elegance.This book is essential reading for researchers and students in theoretical biology seeking to deepen their understanding of the intersections of geometry and systems theory and seeking to gain new insights into the processes that underlie the origination of complexity.'What is unique to the authors' attempt is to shed a new light on extending the notion of cohesive interaction so as to make it applicable even to biology at large without offending the established physics so far. To the best of my knowledge, their work has been the first attempt of this kind in explicating the intricate relationship between geometric topology of the network and the realizable temporal cohesion to be observed widely in biology.' (Professor Koichiro Matsuno, 1st foreword to this book)'I am delighted that the authors use Robert Rosen's (M,R)-systems - impredicative networks that are inherently geometrical - to illustrate (see Chapter 4 of this book) their self-referential systems of geometrical expansions.' (dr. Aloisius Louie, 2nd foreword to this book)Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 124 pp. Englisch.
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