Explicit motion planning in digital projective product spaces [PDF]
arXiv, 2021 We introduce the digital projective product spaces based on Davis' projective product spaces. We determine an upper bound for the digital LS-category of the digital projective product spaces. In addition, we obtain an upper bound for the digital topological complexity of these spaces.
arxiv
Towards Digital Engineering -- The Advent of Digital Systems Engineering [PDF]
International Journal of System of Systems Engineering, 2020, 2020 Digital Engineering, the digital transformation of engineering to leverage digital technologies, is coming globally. This paper explores digital systems engineering, which aims at developing theory, methods, models, and tools to support the emerging digital engineering.
arxiv +1 more source
Digital Topological Complexity of Digital Maps [PDF]
arXiv, 2021 In this study, we improve the topological complexity computations on digital images with introducing the digital topological complexity computations of a surjective and digitally continuous map between digital images. We also reveal differences in topological complexity computations of maps between digital images and topological spaces.
arxiv
Essential concepts of digital topology\\ (digital $k$-connectivity and $k$-adjacencis for digital products) [PDF]
arXiv, 2023 The paper refers to several concepts which are essential to studying digital objects from the viewpoint of digital topology: digital $k$-connectivity or digital $k$-adjacency, $C$-compatible and normal $k$-adjacency for a digital product. Since L.
arxiv
From Digital Divide to Digital Justice in the Global South: Conceptualising Adverse Digital Incorporation [PDF]
arXiv, 2021 The connection between digital and inequality has traditionally been understood in terms of the digital divide or of forms of digital inequality whose core conceptualisation is exclusion. This paper argues that, as the global South moves into a digital development paradigm of growing breadth and depth of digital engagement, an exclusion worldview is no
arxiv
Digital Twin as a Service (DTaaS): A Platform for Digital Twin Developers and Users [PDF]
, 2023 Establishing digital twins is a non-trivial endeavour especially when users face significant challenges in creating them from scratch. Ready availability of reusable models, data and tool assets, can help with creation and use of digital twins. A number of digital twin frameworks exist to facilitate creation and use of digital twins.
arxiv +1 more source
Digital $k$-continuity, digital $k$-isomorphism, local $k$-isomorphism, radius $2$-local $k$-isomorphism, and digital $k$-homotopy [PDF]
arXiv, 2023 The present paper refers to the notions of digital continuity, digital $k$-isomorphism, local $k$-isomorphism, radius $2$-local $k$-isomorphism, and digital $k$-homotopy motivated by the Khalimsky's version. We discuss something incorrectly mentioned in Boxer's papers and suggest some accurate information.
arxiv
Revisiting Connotations of Digital Humanists: Exploratory Interviews [PDF]
arXiv, 2022 This ongoing study revisits the connotations of "digital humanists" and explores the reasons why a researcher does or does not self-identify as a digital humanist. Building on semi-structured interview data collected from fourteen researchers and practitioners engaging in digital humanities (DH) projects, this poster illustrates researchers' various ...
arxiv
Digital me ontology and ethics [PDF]
arXiv, 2020 This paper addresses ontology and ethics of an AI agent called digital me. We define digital me as autonomous, decision-making, and learning agent, representing an individual and having practically immortal own life. It is assumed that digital me is equipped with the big-five personality model, ensuring that it provides a model of some aspects of a ...
arxiv
On digital simply connected spaces and manifolds: a digital simply connected 3-manifold is the digital 3-sphere [PDF]
arXiv, 2013 In the framework of digital topology, we study structural and topological properties of digital n-dimensional manifolds. We introduce the notion of simple connectedness of a digital space and prove that if M and N are homotopy equivalent digital spaces and M is simply connected, then so is N.
arxiv