Results 31 to 40 of about 1,380,597 (301)
Journal of Neural Engineering, 2020 Objective. Due to low spatial resolution and poor signal-to-noise ratio of electroencephalogram (EEG), high accuracy classifications still suffer from lots of obstacles in the context of motor imagery (MI)-based brain-machine interface (BMI) systems ...
Yaqi Chu +6 more
semanticscholar +1 more source
Mathematics, 2021 In this article, we discuss the global aspects of the geometry of locally conformally flat (complete and compact) Riemannian manifolds. In particular, the article reviews and improves some results (e.g., the conditions of compactness and degeneration ...
Josef Mikeš +3 more
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Identifying Riemannian Singularities with Regular Non-Riemannian Geometry [PDF]
Physical Review Letters, 2022 v2) 7 pages, title modified, references added, redaction improved, example D relegated to Supplemental Material.
Kevin Morand +2 more
openaire +4 more sources
Applied Sciences, 2020 The electroencephalogram (EEG) signal in the brain–computer interface (BCI) has suffered great cross-subject variability. The BCI system needs to be retrained before each time it is used, which is a waste of resources and time.
Feng Li +5 more
semanticscholar +1 more source
Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition [PDF]
SIAM Journal on Matrix Analysis and Applications, 2019 We present a new Riemannian metric, termed Log-Cholesky metric, on the manifold of symmetric positive definite (SPD) matrices via Cholesky decomposition. We first construct a Lie group structure and a bi-invariant metric on Cholesky space, the collection
Zhenhua Lin
semanticscholar +1 more source
Background field method for nonlinear sigma models in nonrelativistic string theory
Journal of High Energy Physics, 2020 We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldsheet to a non-Lorentzian and non-Riemannian target space geometry, which is ...
Ziqi Yan, Matthew Yu
doaj +1 more source
Applied Sciences, 2023 Electroencephalography (EEG) signals have diverse applications in brain-computer interfaces (BCIs), neurological condition diagnoses, and emotion recognition across healthcare, education, and entertainment domains.
Zubaidah Al-Mashhadani +4 more
doaj +1 more source
RIEMANNIAN GEOMETRY OF HARTOGS DOMAINS [PDF]
International Journal of Mathematics, 2009 Let DF = {(z0, z) ∈ ℂn | |z0|2 < b, ||z||2 < F(|z0|2)} be a strongly pseudoconvex Hartogs domain endowed with the Kähler metric gF associated to the Kähler form [Formula: see text]. This paper contains several results on the Riemannian geometry of these domains. These are summarized in Theorems 1.1–1.3.
DI SCALA A. J +2 more
openaire +6 more sources
A Generalized Bochner Technique and Its Application to the Study of Conformal Mappings
Axioms, 2021 This article is devoted to geometrical aspects of conformal mappings of complete Riemannian and Kählerian manifolds and uses the Bochner technique, one of the oldest and most important techniques in modern differential geometry. A feature of this article
Vladimir Rovenski +2 more
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String Theory and Non-Riemannian Geometry.
Physical Review Letters, 2020 The O(D,D) covariant generalized metric, postulated as a truly fundamental variable, can describe novel geometries where the notion of Riemannian metric ceases to exist.
Jeong-Hyuck Park, S. Sugimoto
semanticscholar +1 more source