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Differential Geometry from Differential Equations [PDF]

open access: yesThe Ninth Marcel Grossmann Meeting, 2000
We first show how, from the general 3rd order ODE of the form z'''=F(z,z',z'',s), one can construct a natural Lorentzian conformal metric on the four-dimensional space (z,z',z'',s).
Frittelli, Simonetta   +2 more
core   +4 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

∗-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 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

On the geometry of differential privacy [PDF]

open access: yesProceedings of the forty-second ACM symposium on Theory of computing, 2010
We consider the noise complexity of differentially private mechanisms in the setting where the user asks $d$ linear queries $f\colon\Rn\to\Re$ non-adaptively. Here, the database is represented by a vector in $\Rn$ and proximity between databases is measured in the $\ell_1$-metric.
Moritz Hardt, Kunal Talwar
openaire   +2 more sources

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

Input-output Feedback Linearization Control for SM-PMSM [PDF]

open access: yesE3S Web of Conferences, 2023
This paper introduces a velocity control strategy for Surface-Mounted Permanent Magnet Synchronous Motors SM-PMSM using exact linearization and input-output decoupling techniques, which are rooted in the principles of differential geometry.
Abdelhamid Senhaji   +4 more
doaj   +1 more source

Differential geometry of weightings

open access: yesAdvances in Mathematics, 2023
We describe the notion of a \emph{weighting} along a submanifold $N\subset M$, and explore its differential-geometric implications. This includes a detailed discussion of weighted normal bundles, weighted deformation spaces, and weighted blow-ups. We give a description of weightings in terms of subbundles of higher tangent bundles, which leads us to ...
Loizides, Yiannis, Meinrenken, Eckhard
openaire   +2 more sources

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