復雜性內在邏輯：從數學到可持續世界（英文版） [Grammar of Complexity:From Mathematics to A Sustainable World] epub pdf mobi txt 電子書 下載 2024

復雜性內在邏輯：從數學到可持續世界（英文版） [Grammar of Complexity:From Mathematics to A Sustainable World] epub pdf mobi txt 電子書 下載 2024

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復雜性內在邏輯：從數學到可持續世界（英文版） [Grammar of Complexity:From Mathematics to A Sustainable World] epub pdf mobi txt 電子書 下載 2024

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內容簡介

　　復雜係統中的關係通常定義在兩個以上的事物之間，因此可以用超圖和具有更加，復雜的多維數的對象錶示。
　　《復雜性內在邏輯：從數學到可持續世界（英文版）》簡要介紹復雜性和復雜係統科學，並且討論基於比例隨機遊動信息流分析的多層級復雜係統定量描述的通用信息論方法。
　　《復雜性內在邏輯：從數學到可持續世界（英文版）》將迴歸到A.N.Kolmogorov所強調的從微觀到宏觀尺度的信息的傳遞是復雜係統行為的中心的基本思想。
　　《復雜性內在邏輯：從數學到可持續世界（英文版）》內容包括介觀復雜係統現代理論、時間序列、超圖和圖、比例隨機遊動以及應用於探索和錶徵復雜係統的現代信息理論，既適閤研究生又適閤初學者。
　　《復雜性內在邏輯：從數學到可持續世界（英文版）》內容自包含，並為一緻地討論諸多應用（如城市結構和音樂創作）提供瞭必要的基礎。Dimitri Volchenkov博士是得剋薩斯理工大學副教授，也是四川理工學院“韆人計劃”講座教授。他的研究興趣在於復雜性科學和應用數學。他著有13本專著，發錶瞭132篇文章，是4種交叉學科期刊的主編和21種國際期刊的審稿人。

內頁插圖

目錄

1 Perplexity of Complexity
1．1 A Compositional Containment Hierarchy of Complex Systems and Processes
1．2 Top-Down and Bottom-Up Processes Associated to Complex Systems and Processes
1．2．1 The Top-Down Process of Adaptation （Downward Causation）
1．2．2 The Bottom-Up Process of Speciation （Upward Causation）
1．3 Example： A Concept of Evolution by Natural Selection
1．4 Saltatory Temporal Evolution of Complex Systems
1．5 Prediction， Control and Uncertainty Relations
1．5．1Physical Determinism and Probabilistic Causation
1．5．2 Rare and Extreme Events in Complex Systems
1．5．3 Uncertainty Relations
1．6 Uncertainty Relation for Survival Strategies
1．6．1 Situation of Adaptive Uncertainty
1．6．2 Coping with Growing Uncertainty
1．7 Resilient， Fragile and Ephemeral Complex Systems and Processes
1．7．1 Classification of Complex Systems and Processes According to the Prevalent Information Flows
1．8 Down the Rabbit-Hole： Simplicial Complexes as the Model for Complex Systems
1．8．1 Simplexes
1．8．2 Simplicial Complexes
1．8．3 Connectivity
1．9 Conclusion

2 Preliminaries： Permutations， Partitions， Probabilitiesand Information
2．1 Permutations and Their Matrix Representations
2．2 Permutation Orbits and Fixed Points
2．3 Fixed Points and the Inclusion-Exclusion Principle
2．4 Probability
2．5 Finite Markov Chains
2．6 Birkhoff-von Neumann Theorem
2．7 Generating Functions
2．8 Partitions
2．8．1 Compositions
2．8．2 Multi-Set Permutations
2．8．3 Weak Partitions
2．8．4 Integer Partitions
2．9 Information and Entropy
2．10 Conditional Information Measures for Complex Processes
2．11 Information Decomposition for Markov Chains
2．11．1 Conditionallnformation Measure for the Downward Causation Process
2．11．2 Conditional Information Measure for the Upward Causation Process
2．11．3 Ephemeral Information in Markov Chains
2．11．4 Graphic Representation oflnformation Decomposition for Markov Chains
2．12 Concluding Remarks and Further Reading

3 Theory of Extreme Events
3．1 Structure of Uncertainty
3．2 Model of Mass Extinction and Subsistence
3．3 Probability of Mass Extinction and Subsistence UnderUncertainty
3．4 Transitory Subsistence and Inevitable Mass Extinction Under Dual Uncertainty
3．5 Extraordinary Longevity is Possible Under Singular Uncertainty
3．6 Zipfian Longevity in a Land of Plenty
3．7 A General Rule of Thumb for Subsistence UnderUncertainty
3．8 Exponentially Rapid Extinction after Removal of Austerity
3．9 On the Optimal Strategy of Subsistence Under Uncertainty
3．10 Entropy of Survival
3．11 Infinite Information Divergence Between Survival and Extinction
……

4 Statistical Basis oflnequality and Discounting the Futureand Inequality
5 Elements of Graph Theory． Adjacency， Walks， andEntropies
6 Exploring Graph Structures by Random Walks
7 We Shape Our Buildings; Thereafter They Shape Us
8 Complexity of Musical Harmony

References
Index

復雜性內在邏輯：從數學到可持續世界（英文版） [Grammar of Complexity:From Mathematics to A Sustainable World] epub pdf mobi txt 電子書 下載 2024

復雜性內在邏輯：從數學到可持續世界（英文版） [Grammar of Complexity:From Mathematics to A Sustainable World] 下載 epub mobi pdf txt 電子書

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