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Higher-Order Systems

2022-05-19 Science
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Release : 2022-05-19
Genre : Science
Kind : eBook
Book Rating : 731/5 ( reviews)

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Book Synopsis Higher-Order Systems by : Federico Battiston

Download or read book Higher-Order Systems written by Federico Battiston. This book was released on 2022-05-19. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses its potential to model real-world systems and how considering their higher-order organization can lead to the emergence of novel dynamical behavior. Over the last decades, networks have emerged as the paradigmatic framework to model complex systems. Yet, as simple collections of nodes and links, they are intrinsically limited to pairwise interactions, limiting our ability to describe, understand, and predict complex phenomena which arise from higher-order interactions. Here we introduce the new modeling framework of higher-order systems, where hypergraphs and simplicial complexes are used to describe complex patterns of interactions among any number of agents. This book is intended both as a first introduction and an overview of the state of the art of this rapidly emerging field, serving as a reference for network scientists interested in better modeling the interconnected world we live in.

Higher-Order Systems

2022-04-26 Science
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Release : 2022-04-26
Genre : Science
Kind : eBook
Book Rating : 740/5 ( reviews)

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Book Synopsis Higher-Order Systems by : Federico Battiston

Download or read book Higher-Order Systems written by Federico Battiston. This book was released on 2022-04-26. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses the potential of higher-order interactions to model real-world relational systems. Over the last decade, networks have emerged as the paradigmatic framework to model complex systems. Yet, as simple collections of nodes and links, they are intrinsically limited to pairwise interactions, limiting our ability to describe, understand, and predict complex phenomena which arise from higher-order interactions. Here we introduce the new modeling framework of higher-order systems, where hypergraphs and simplicial complexes are used to describe complex patterns of interactions among any number of agents. This book is intended both as a first introduction and an overview of the state of the art of this rapidly emerging field, serving as a reference for network scientists interested in better modeling the interconnected world we live in.

Tableau Systems for First Order Number Theory and Certain Higher Order Theories

2006-11-15 Mathematics
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Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 426/5 ( reviews)

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Book Synopsis Tableau Systems for First Order Number Theory and Certain Higher Order Theories by : S.A. Toledo

Download or read book Tableau Systems for First Order Number Theory and Certain Higher Order Theories written by S.A. Toledo. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains

2022-04-11 Mathematics
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Release : 2022-04-11
Genre : Mathematics
Kind : eBook
Book Rating : 141/5 ( reviews)

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Book Synopsis Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains by : Feliz Manuel Minhos

Download or read book Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains written by Feliz Manuel Minhos. This book was released on 2022-04-11. Available in PDF, EPUB and Kindle. Book excerpt: Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap. The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic, amongst others). This would be the first time that differential and integral coupled systems are studied systematically. The existence, and in some cases, the localization of the solutions are carried out in Banach space, following several types of arguments and approaches such as Schauder's fixed-point theorem or Guo-Krasnosel'ski? fixed-point theorem in cones, allied to Green's function or its estimates, lower and upper solutions, convenient truncatures, the Nagumo condition presented in different forms, the concept of equiconvergence, Carathéodory functions, and sequences. Moreover, the final part in the volume features some techniques on how to relate differential coupled systems to integral ones, which require less regularity. Parallel to the theoretical explanation of this work, there is a range of practical examples and applications involving real phenomena, focusing on physics, mechanics, biology, forestry, and dynamical systems, which researchers and students will find useful.

Functional and Logic Programming

2010-04-09 Computers
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Release : 2010-04-09
Genre : Computers
Kind : eBook
Book Rating : 507/5 ( reviews)

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Book Synopsis Functional and Logic Programming by : Matthias Blume

Download or read book Functional and Logic Programming written by Matthias Blume. This book was released on 2010-04-09. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Symposium on Functional and Logic Programming, FLOPS 2010, held in Sendai, Japan, in April 2010. The 21 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 49 submissions. The papers are organized in topical sections on types; program analysis and transformation; foundations; logic programming; evaluation and normalization; term rewriting; and parallelism and control.

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