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DIFFERENTIAL GEOMETRY FROM DIFFERENTIAL EQUATIONS [PDF]

open access: yesThe Ninth Marcel Grossmann Meeting, 2001
37 pages, revised version with ...
Frittelli, Simonetta   +2 more
openaire   +4 more sources

Using Differential Geometry to Revisit the Paradoxes of the Instantaneous Frequency [PDF]

open access: greenIEEE Open Access Journal of Power and Energy, 2022
This paper proposes a general framework to interpret the concept of Instantaneous Frequency (IF) in three-phase systems. The paper first recalls the conventional frequency-domain analysis based on the Fourier transform as well as the definition of IF ...
Federico Milano   +4 more
doaj   +2 more sources

Affine differential geometry of osculating hypersurfaces

open access: diamondLietuvos Matematikos Rinkinys, 2012
Osculating surfaces of second order have been studied in classical affine differential geometry [1].  In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space.
Kazimieras Navickis
doaj   +3 more sources

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

∗-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

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 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

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

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