Higher-Order Systems
Title | Higher-Order Systems PDF eBook |
Author | Federico Battiston |
Publisher | Springer Nature |
Pages | 436 |
Release | 2022-04-26 |
Genre | Science |
ISBN | 3030913740 |
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
Title | Tableau Systems for First Order Number Theory and Certain Higher Order Theories PDF eBook |
Author | S.A. Toledo |
Publisher | Springer |
Pages | 342 |
Release | 2006-11-15 |
Genre | Mathematics |
ISBN | 3540374426 |
Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains
Title | Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains PDF eBook |
Author | Feliz Manuel Minhos |
Publisher | World Scientific |
Pages | 243 |
Release | 2022-04-11 |
Genre | Mathematics |
ISBN | 9811225141 |
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.
Higher-Order Systems
Title | Higher-Order Systems PDF eBook |
Author | Federico Battiston |
Publisher | Springer |
Pages | 433 |
Release | 2022-05-19 |
Genre | Science |
ISBN | 9783030913731 |
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.
Functional and Logic Programming
Title | Functional and Logic Programming PDF eBook |
Author | Matthias Blume |
Publisher | Springer Science & Business Media |
Pages | 364 |
Release | 2010-04-09 |
Genre | Computers |
ISBN | 3642122507 |
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.
Advanced Intelligent Technologies for Information and Communication
Title | Advanced Intelligent Technologies for Information and Communication PDF eBook |
Author | Kazumi Nakamatsu |
Publisher | Springer Nature |
Pages | 445 |
Release | 2023-10-28 |
Genre | Technology & Engineering |
ISBN | 9819952034 |
The book includes new research results of scholars from the Third International Conference on Advanced Intelligent Technologies (ICAIT 2022) organized by IRNet International Academic Communication Center, held during October 28–30, 2022. The book covers research work from active researchers who are working on collaboration of industry and various intelligent technologies such as intelligent technologies applicable/applied to manufacturing and distribution of industrial products, factory automation, and business. The topics included are all computational intelligence techniques applicable/applied to industry, intelligent techniques in data science applicable/applied to business and management, intelligent network systems applicable/applied to industrial production, intelligent technologies applicable to smart agriculture, and intelligent information systems for agriculture.
Higher Order Networks: An Introduction to Simplicial Complexes
Title | Higher Order Networks: An Introduction to Simplicial Complexes PDF eBook |
Author | Ginestra Bianconi |
Publisher | Cambridge University Press |
Pages | 149 |
Release | 2021-12-23 |
Genre | Mathematics |
ISBN | 1108726739 |
This Element presents one of the most recent developments in network science in a highly accessible style. This Element will be of interest to interdisciplinary scientists working in network science, in addition to mathematicians working in discrete topology and geometry and physicists working in quantum gravity.