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The mathematical artist : a tribute to John Horton Conway / / Sukanta Das, Souvik Roy, Kamalika Bhattacharjee, editors
| The mathematical artist : a tribute to John Horton Conway / / Sukanta Das, Souvik Roy, Kamalika Bhattacharjee, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (221 pages) |
| Disciplina | 511.3 |
| Collana | Emergence, complexity and computation |
| Soggetto topico |
Cellular automata
Game theory Mathematicians Autòmats cel·lulars Teoria de jocs Matemàtics |
| Soggetto genere / forma |
Biografies
Llibres electrònics |
| ISBN | 3-031-03986-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- John Horton Conway -- Contents -- Contributors -- Transcript from Conway Memorial Lecture Series -- John Horton Conway: A Master of All Trades -- 1 A Personal Remembrance -- 2 Interaction with Robert Wilson -- Two Different Directions: John Conway and Stephen Wolfram -- 1 Conway-The Mathematical Engineer -- 2 Program as Model for the World -- 3 Computational Equivalence -- 4 Cellular Automata and Physics -- 5 Multiway Graphs -- 6 Limits of Physics and Mathematics -- 7 Interaction with Stephen Wolfram -- 8 Concluding Remarks -- Conway Memorial Series: The Mathematical Artist of Play -- 1 A Personal Encounter -- 2 The Nim Game -- 3 Beyond Combinatorial Game Theory -- 4 Interaction with R. Ramanujam -- Invited Articles -- Some Notes About the Game of Life Cellular Automaton -- 1 The Game of Life -- 2 The Game of Life and Its Connection in One Dimension -- 3 Final Notes -- References -- Gliders in the Game of Life and in a Reversible Cellular Automaton -- 1 Game of Life and the Glider -- 1.1 Irreversibility of the Game of Life (GoL) -- 1.2 The Glider, Spaceships and a Glider Gun -- 1.3 Controlling a Glider -- 1.4 Collisions of Gliders -- 1.5 Collisions of Gliders with a Block -- 2 Elementary Triangular Partitioned Cellular Automaton -- 2.1 Triangular Partitioned Cellular Automaton -- 2.2 Elementary Triangular Partitioned Cellular Automaton (ETPCA) -- 2.3 Reversible ETPCA and Conservative ETPCA -- 2.4 Dualities in ETPCAs -- 2.5 Time-Symmetry in Reversible ETPCAs -- 3 The Glider in the Reversible ETPCA0347 -- 3.1 Evolution from a One-Particle Pattern -- 3.2 The Glider and Useful Patterns -- 3.3 Controlling a Glider -- 3.4 Collisions of Gliders -- 3.5 Collisions of a Glider with a Fin -- 4 Composing Reversible Computers in ETPCA 0347 Using a Glider -- 4.1 Making a Reversible Logic Element with Memory.
4.2 Making Reversible Turing Machines -- 5 Concluding Remarks and Open Problems -- References -- From Multiple to Single Updates Per Cell in Elementary Cellular Automata with Neighbourhood Based Priority -- 1 Introduction -- 2 Fundamentals -- 2.1 Definitions -- 2.2 Independent Neighbourhood Updates and Active State Transitions -- 3 From Multiple to Single Updates Per Cell Per Iteration -- 3.1 Overview of the Idea -- 3.2 Formalisation -- 4 Analysis of the Elementary Space with Neighbourhood Based Priority Asynchronism with Single Updates Per Cell -- 4.1 Dynamical Equivalence Classes -- 4.2 Identifying Dynamical Classes -- 4.3 An Example of the Full Process -- 5 Concluding Remarks -- References -- Game of Life, Athenian Democracy and Computation -- 1 Introduction -- 2 Game-of-Life and Direct Democracy -- 3 Athenian Democracy -- 4 A Model of Computation -- 5 Cellular Automata with Memory -- 6 Conclusion -- References -- Algorithmic Information Dynamics of Cellular Automata -- 1 Introduction -- 2 Cellular Automata -- 3 Algorithmic Information Dynamics (AID) -- 3.1 Numerical Methods -- 3.2 The Coding Theorem Method and Causal Discovery -- 3.3 The Block Decomposition Method (BDM) -- 3.4 Algorithmic Intervention Analysis -- 3.5 Information Deficiency as an Algorithmic Information Calculus -- 3.6 Study of Dynamical Systems in Software Space -- 4 AID Application to Elementary Cellular Automata -- 4.1 ECA Perturbation Analysis -- 4.2 ECA Colliding Event Quantification -- 5 Conclusions -- References -- The Game of Life in Three Dimensions, and Other Tessellations -- 1 Introduction-Conway's Game of Life -- 1.1 The Rules of Life -- 2 Finding a Rule for Three-Dimensional Life -- 2.1 The Best Rules for Three-Dimensional Versions of Life -- 2.2 A Comparison Between Conway's Life and Three-Dimensional Life -- 2.3 The Rule 4, 5/5 -- 3 Another Game of 3D Life. 4 Additional Games of Life in Two Dimensional Grids -- 4.1 The Triangular Grid -- 4.2 The Hexagonal grid -- 5 Conclusion -- References. |
| Record Nr. | UNISA-996483155703316 |
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
The Mathematical Artist : A Tribute To John Horton Conway / / edited by Sukanta Das, Souvik Roy, Kamalika Bhattacharjee
| The Mathematical Artist : A Tribute To John Horton Conway / / edited by Sukanta Das, Souvik Roy, Kamalika Bhattacharjee |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (221 pages) |
| Disciplina |
511.3
510.92 |
| Collana | Emergence, Complexity and Computation |
| Soggetto topico |
Engineering mathematics
Engineering - Data processing Dynamics Nonlinear theories Group theory Number theory Mathematical and Computational Engineering Applications Applied Dynamical Systems Group Theory and Generalizations Number Theory |
| ISBN | 3-031-03986-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- John Horton Conway -- Contents -- Contributors -- Transcript from Conway Memorial Lecture Series -- John Horton Conway: A Master of All Trades -- 1 A Personal Remembrance -- 2 Interaction with Robert Wilson -- Two Different Directions: John Conway and Stephen Wolfram -- 1 Conway-The Mathematical Engineer -- 2 Program as Model for the World -- 3 Computational Equivalence -- 4 Cellular Automata and Physics -- 5 Multiway Graphs -- 6 Limits of Physics and Mathematics -- 7 Interaction with Stephen Wolfram -- 8 Concluding Remarks -- Conway Memorial Series: The Mathematical Artist of Play -- 1 A Personal Encounter -- 2 The Nim Game -- 3 Beyond Combinatorial Game Theory -- 4 Interaction with R. Ramanujam -- Invited Articles -- Some Notes About the Game of Life Cellular Automaton -- 1 The Game of Life -- 2 The Game of Life and Its Connection in One Dimension -- 3 Final Notes -- References -- Gliders in the Game of Life and in a Reversible Cellular Automaton -- 1 Game of Life and the Glider -- 1.1 Irreversibility of the Game of Life (GoL) -- 1.2 The Glider, Spaceships and a Glider Gun -- 1.3 Controlling a Glider -- 1.4 Collisions of Gliders -- 1.5 Collisions of Gliders with a Block -- 2 Elementary Triangular Partitioned Cellular Automaton -- 2.1 Triangular Partitioned Cellular Automaton -- 2.2 Elementary Triangular Partitioned Cellular Automaton (ETPCA) -- 2.3 Reversible ETPCA and Conservative ETPCA -- 2.4 Dualities in ETPCAs -- 2.5 Time-Symmetry in Reversible ETPCAs -- 3 The Glider in the Reversible ETPCA0347 -- 3.1 Evolution from a One-Particle Pattern -- 3.2 The Glider and Useful Patterns -- 3.3 Controlling a Glider -- 3.4 Collisions of Gliders -- 3.5 Collisions of a Glider with a Fin -- 4 Composing Reversible Computers in ETPCA 0347 Using a Glider -- 4.1 Making a Reversible Logic Element with Memory.
4.2 Making Reversible Turing Machines -- 5 Concluding Remarks and Open Problems -- References -- From Multiple to Single Updates Per Cell in Elementary Cellular Automata with Neighbourhood Based Priority -- 1 Introduction -- 2 Fundamentals -- 2.1 Definitions -- 2.2 Independent Neighbourhood Updates and Active State Transitions -- 3 From Multiple to Single Updates Per Cell Per Iteration -- 3.1 Overview of the Idea -- 3.2 Formalisation -- 4 Analysis of the Elementary Space with Neighbourhood Based Priority Asynchronism with Single Updates Per Cell -- 4.1 Dynamical Equivalence Classes -- 4.2 Identifying Dynamical Classes -- 4.3 An Example of the Full Process -- 5 Concluding Remarks -- References -- Game of Life, Athenian Democracy and Computation -- 1 Introduction -- 2 Game-of-Life and Direct Democracy -- 3 Athenian Democracy -- 4 A Model of Computation -- 5 Cellular Automata with Memory -- 6 Conclusion -- References -- Algorithmic Information Dynamics of Cellular Automata -- 1 Introduction -- 2 Cellular Automata -- 3 Algorithmic Information Dynamics (AID) -- 3.1 Numerical Methods -- 3.2 The Coding Theorem Method and Causal Discovery -- 3.3 The Block Decomposition Method (BDM) -- 3.4 Algorithmic Intervention Analysis -- 3.5 Information Deficiency as an Algorithmic Information Calculus -- 3.6 Study of Dynamical Systems in Software Space -- 4 AID Application to Elementary Cellular Automata -- 4.1 ECA Perturbation Analysis -- 4.2 ECA Colliding Event Quantification -- 5 Conclusions -- References -- The Game of Life in Three Dimensions, and Other Tessellations -- 1 Introduction-Conway's Game of Life -- 1.1 The Rules of Life -- 2 Finding a Rule for Three-Dimensional Life -- 2.1 The Best Rules for Three-Dimensional Versions of Life -- 2.2 A Comparison Between Conway's Life and Three-Dimensional Life -- 2.3 The Rule 4, 5/5 -- 3 Another Game of 3D Life. 4 Additional Games of Life in Two Dimensional Grids -- 4.1 The Triangular Grid -- 4.2 The Hexagonal grid -- 5 Conclusion -- References. |
| Record Nr. | UNINA-9910741167803321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
