Ebook: Topics in the General Theory of Structures
- Tags: Computer Science general, Systems Theory Control, Theory of Computation
- Series: Theory and Decision Library 1
- Year: 1987
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
This volume is about "Structure". The search for "structure", always the pursuit of sciences within their specific areas and perspectives, is witnessing these days a dra matic revolution. The coexistence and interaction of so many structures (atoms, hu mans, cosmos and all that there is in between) would be unconceivable according to many experts, if there were not, behind it all, some gen eral organizational principle. s that (at least in some asymptotic way) make possible so many equilibria among species and natural objects, fan tastically tuned to an extremely high degree of precision. The evidence accumulates to an increasingly impressive degree; a concrete example comes from physics, whose constant aim always was and is that of searching for "ultimate laws", out of which everything should follow, from quarks to the cosmos. Our notions and philosophy have un dergone major revolutions, whenever the "unthinkable" has been changed by its wonderful endeavours into "fact". Well, it is just from physics that evidence comes: even if the "ultimate" could be reached, it would not in any way be a terminal point. When "complexity" comes into the game, entirely new notions have to be invented; they all have to do with "structure", though this time in a much wider sense than would have been understood a decade or so ago.
Content:
Front Matter....Pages i-vii
Introduction....Pages 1-3
Structure and Modularity in Self-Organizing Complex Systems....Pages 5-57
Hierarchy and Modularity in Natural Languages....Pages 59-68
Dynamic Approach to Analysis of Structures Described by Graphs (Foundations of Graph-Dynamics)....Pages 69-136
Structural Properties of Voting Systems....Pages 137-148
Application of Predicate Calculus to the Study of Structures of Systems....Pages 149-156
Tournament Functions in Problems of Collective Choices....Pages 157-162
C-Calculus: An Overview....Pages 163-173
On Some Analytic Aspects of C-Calculus....Pages 175-181
A New Method Based on C-Calculus for Some Problems of Cell Movement Analysis....Pages 183-197
Systems and Uncertainty: A Geometrical Approach....Pages 199-206
Back Matter....Pages 207-208
Content:
Front Matter....Pages i-vii
Introduction....Pages 1-3
Structure and Modularity in Self-Organizing Complex Systems....Pages 5-57
Hierarchy and Modularity in Natural Languages....Pages 59-68
Dynamic Approach to Analysis of Structures Described by Graphs (Foundations of Graph-Dynamics)....Pages 69-136
Structural Properties of Voting Systems....Pages 137-148
Application of Predicate Calculus to the Study of Structures of Systems....Pages 149-156
Tournament Functions in Problems of Collective Choices....Pages 157-162
C-Calculus: An Overview....Pages 163-173
On Some Analytic Aspects of C-Calculus....Pages 175-181
A New Method Based on C-Calculus for Some Problems of Cell Movement Analysis....Pages 183-197
Systems and Uncertainty: A Geometrical Approach....Pages 199-206
Back Matter....Pages 207-208
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