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In this paper we will relate hyperstructures and the general $\mathscr{H}$-principle to known mathematical structures, and also discuss how they may give rise to new mathematical structures. The main purpose is to point out new ideas and…

General Mathematics · Mathematics 2019-05-15 Nils A. Baas

Topological statistical theory provides the foundation for a modern mathematical reformulation of classical statistical theory: Structural Statistics emphasizes the structural assumptions that accompany distribution families and the set of…

Statistics Theory · Mathematics 2020-06-23 Patrick Michl

Social Internet of Things (SIoT) takes a step forward over the traditional Internet of Things (IoT), introducing a new paradigm that combines the concepts of social networks with the IoT, to obtain the benefits of both worlds, as in the…

Software Engineering · Computer Science 2020-02-12 Juan Ochoa-Zambrano , Juan Garbajosa

For the first time, we have introduced the concept of N-groups, N-semigroups, N-loops, and N-groupoids. We also define a mixed N-algebraic structure. The main aim of this book is to attract young mathematicians to this interesting field. It…

General Mathematics · Mathematics 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache

We present a comprehensive resilience glossary, comprising a set of 91 definitions of resilience-related terms used in the context of critical infrastructures. The definition and use of many of these terms, as well as the term resilience…

Physics and Society · Physics 2024-02-06 Andrea Mentges , Lukas Halekotte , Moritz Schneider , Tobias Demmer , Daniel Lichte

John Roe \cite{Roe lectures} introduced coarse structures for arbitrary sets $X$ by considering subsets of $X\times X$. That definition, while natural for analysts, is a bit more difficult to digest for topologists and geometers. In this…

Metric Geometry · Mathematics 2007-05-23 J. Dydak , C. S. Hoffland

The Internet of Things, or the IoT is a vision for a ubiquitous society wherein people and "Things" are connected in an immersively networked computing environment, with the connected "Things" providing utility to people/enterprises and…

Computers and Society · Computer Science 2016-04-11 Prasant Misra , Yogesh Simmhan , Jay Warrior

Structural operational semantics (SOS) is a technique for defining operational semantics for programming and specification languages. Because of its intuitive appeal and flexibility, SOS has found considerable application in the study of…

Logic in Computer Science · Computer Science 2010-08-12 Luca Aceto , Paweł Sobociński

A software architecture describes the structure of a computing system by specifying software components and their interactions. Mapping a software architecture to an implementation is a well known challenge. A key element of this mapping is…

Programming Languages · Computer Science 2011-06-22 Damien Cassou , Charles Consel , Emilie Balland , Julia Lawall

This paper explores the hard problem of consciousness from a different perspective. Instead of drawing distinctions between the physical and the mental, an exploration of a more foundational relationship is examined: the relationship…

Neurons and Cognition · Quantitative Biology 2025-05-12 Ryan Williams

In the former article "Formal mathematical systems including a structural induction principle" we have presented a unified theory for formal mathematical systems including recursive systems closely related to formal grammars, including the…

Logic · Mathematics 2022-01-21 Matthias Kunik

Software architecture decision-making is critical to the success of a software system as software architecture sets the structure of the system, determines its qualities, and has far-reaching consequences throughout the system life cycle.…

Software Engineering · Computer Science 2016-10-31 Sandun Dasanayake , Jouni Markkula , Sanja Aaramaa , Markku Oivo

The development of an IT strategy and ensuring that it is the best possible one for business is a key problem many organizations face. This problem is that of linking business architecture to IT architecture in general and application…

Software Engineering · Computer Science 2024-06-11 Suresh Kamath

Accountability is an often called for property of technical systems. It is a requirement for algorithmic decision systems, autonomous cyber-physical systems, and for software systems in general. As a concept, accountability goes back to the…

Software Engineering · Computer Science 2021-04-30 Severin Kacianka , Alexander Pretschner

A little general abstract combinatorial nonsense delivered in this note is a presentation of some old and basic concepts, central to discrete mathematics, in terms of new words. The treatment is from a structural and systematic point of…

Category Theory · Mathematics 2007-06-14 Sheng Bau

Architectural styles and patterns play an important role in software engineering. One of the most known ones is the layered architecture style. However, this style is usually only stated informally, which may cause problems such as…

Software Engineering · Computer Science 2015-03-18 Diego Marmsoler , Alexander Malkis , Jonas Eckhardt

Today, there are millions of professionals worldwide acting as a designer, architect or engineer in the design, realization, and implementation of information systems. At this moment there is no well established and clearly identified body…

Software Engineering · Computer Science 2021-05-20 R. D. T. Janssen , H. A. Proper , H. Bosma , D. Verhoef , S. J. B. A. Hoppenbrouwers

The information technology explosion has dramatically increased the application of new mathematical ideas and has led to an increasing use of mathematics across a wide range of fields that have been traditionally labeled "pure" or…

History and Overview · Mathematics 2018-09-18 Katherine Gravel , Hayden Jananthan , Jeremy Kepner

System-of-Systems (SoS) has consolidated itself as a special type of software-intensive systems. As such, subtypes of SoS have also emerged, such as Cyber-Physical SoS (CPSoS) that are formed essentially of cyber-physical constituent…

Developing complex engineered systems (CES) poses significant challenges for engineers, managers, designers, and businesspeople alike due to the inherent complexity of the systems and contexts involved. Furthermore, experts have expressed…

Multiagent Systems · Computer Science 2021-03-26 John Meluso , Jesse Austin-Breneman , James P. Bagrow , Laurent Hébert-Dufresne