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Online Handwriting Recognition Method with a Non-Inertial Reference Frame Based on the Measurement of Linear Accelerations and Differential Geometry: An Alternative to Quaternions [PDF]

open access: yesMicromachines
This work describes a mathematical model for handwriting devices without a specific reference surface (SRS). The research was carried out on two hypotheses: the first considers possible circular segments that could be made during execution for the ...
Griselda Stephany Abarca Jiménez   +5 more
doaj   +2 more sources

Revisiting Volterra defects: geometrical relation between edge dislocations and wedge disclinations [PDF]

open access: yesRoyal Society Open Science
This study presents a comprehensive mathematical model for Volterra defects and explores their relations using differential geometry on Riemann–Cartan manifolds.
Shunsuke Kobayashi   +2 more
doaj   +2 more sources

Geometric Neural Ordinary Differential Equations: From Manifolds to Lie Groups [PDF]

open access: yesEntropy
Neural ordinary differential equations (neural ODEs) are a well-established tool for optimizing the parameters of dynamical systems, with applications in image classification, optimal control, and physics learning.
Yannik P. Wotte   +2 more
doaj   +2 more sources

∗-K-Operator Frame for Hom∗A(X)

open access: yesEuropean Journal of Mathematical Analysis, 2021
In this work, we introduce the concept of ∗-K-operator frames in Hilbert pro-C∗-modules, which is a generalization of K-operator frame. We present the analysis operator, the synthesis operator and the frame operator.
Mohamed Rossafi   +2 more
doaj   +1 more source

Nutrigonometry III: curvature, area and differences between performance landscapes

open access: yesRoyal Society Open Science, 2022
Nutrition is one of the underlying factors necessary for the expression of life-histories and fitness across the tree of life. In recent decades, the geometric framework (GF) has become a powerful framework to obtain biological insights through the ...
Juliano Morimoto   +2 more
doaj   +1 more source

On fixed point theorems in C-algebra valued b-asymmetric metric spaces

open access: yesAIMS Mathematics, 2022
In this paper, we introduce the notion of $ C^* $-algebra-valued $ b $-asymmetric metric spaces and show several fixed point theorems that improve on a range of recent works in the literature.
Ouafaa Bouftouh   +3 more
doaj   +1 more source

Controlled K-Fusion Frame for Hilbert Spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which
Assila Nadia   +2 more
doaj   +1 more source

On the α−ψ−Contractive Mappings in C∗-Algebra Valued b-Rectangular Metric Spaces and Fixed Point Theorems

open access: yesEuropean Journal of Mathematical Analysis, 2022
This present paper extends a version of α−ψ−contraction in C∗-algebra valued rectangular b-metric spaces and establishing the existence and uniqueness of fixed point for them.
Mohamed Rossafi   +2 more
doaj   +1 more source

Isolation Number versus Domination Number of Trees

open access: yesMathematics, 2021
If G=(VG,EG) is a graph of order n, we call S⊆VG an isolating set if the graph induced by VG−NG[S] contains no edges. The minimum cardinality of an isolating set of G is called the isolation number of G, and it is denoted by ι(G).
Magdalena Lemańska   +3 more
doaj   +1 more source

Differential Geometry and Its Application

open access: yesAxioms, 2023
We have launched a Special Issue of Axioms which focuses on the generalization of Riemannian spaces and their mappings [...]
Mića S. Stanković
doaj   +1 more source

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