Results 1 to 10 of about 92,608 (310)
Differential geometry of group lattices [PDF]
In a series of publications we developed “differential geometry” on discrete sets based on concepts of noncommutative geometry. In particular, it turned out that first-order differential calculi (over the algebra of functions) on a discrete set are in bijective correspondence with digraph structures where the vertices are given by the elements of the ...
Aristophanes Dimakis +2 more
exaly +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]
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
Affine differential geometry of osculating hypersurfaces
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
∗-K-Operator Frame for Hom∗A(X)
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
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
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
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]
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
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Isolation Number versus Domination Number of Trees
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 FROM DIFFERENTIAL EQUATIONS [PDF]
37 pages, revised version with ...
Frittelli, Simonetta +2 more
openaire +2 more sources

