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Pattern analysis of computer keystroke time series in healthy control and early-stage Parkinson's disease subjects using fuzzy recurrence and scalable recurrence network features
Linköping University, Department of Biomedical Engineering, Division of Biomedical Engineering. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-4255-5130
2018 (English)In: Journal of Neuroscience Methods, ISSN 0165-0270, E-ISSN 1872-678X, Vol. 307, p. 128-130Article in journal (Refereed) Published
Abstract [en]

A noncommutative algebra corresponding to the classical catenoid is introduced together with a differential calculus of derivations. We prove that there exists a unique metric and torsion-free connection that is compatible with the complex structure, and the curvature is explicitly calculated. A noncommutative analogue of the fact that the catenoid is a minimal surface is studied by constructing a Laplace operator from the connection and showing that the embedding coordinates are harmonic. Furthermore, an integral is defined and the total curvature is computed. Finally, classes of left and right modules are introduced together with constant curvature connections, and bimodule compatibility conditions are discussed in detail.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 307, p. 128-130
Keywords [en]
Noncommutative catenoid, Noncommutative Riemannian geometry, Noncommutative minimal surface, Noncommutative curvature
National Category
Other Medical Engineering
Identifiers
URN: urn:nbn:se:liu:diva-148129DOI: 10.1016/j.jneumeth.2018.05.019ISI: 000442055800020PubMedID: 29859213OAI: oai:DiVA.org:liu-148129DiVA, id: diva2:1211444
Available from: 2018-05-30 Created: 2018-05-30 Last updated: 2018-10-04Bibliographically approved

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The full text will be freely available from 2019-11-30 14:48
Available from 2019-11-30 14:48

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Pham, Tuan

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