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DG-GL: Differential geometry-based geometric learning of molecular datasets. [PDF]
Int J Numer Method Biomed Eng, 2019 Motivation: Despite its great success in various physical modeling, differential geometry (DG) has rarely been devised as a versatile tool for analyzing large, diverse, and complex molecular and biomolecular datasets because of the limited understanding ...
Nguyen DD, Wei GW.
europepmc +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]
Micromachines (Basel)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 ...
Abarca Jiménez GS +5 more
europepmc +2 more sources
Differential Geometry of Ice Flow [PDF]
Frontiers in Earth Science, 2018 Flowlines on ice sheets and glaciers form complex patterns. To explore their role in ice routing and extend the language for studying such patterns, we develop a theory of flow convergence and curvature in plan view.
Felix S. L. Ng +2 more
doaj +4 more sources
A quantum complexity lower bound from differential geometry [PDF]
Nature Physics, 2021 Quantum operations can be considered as points in a high-dimensional space in which distance reflects the similarity of two operations. Applying differential-geometric methods in this picture gives insights into the complexity of quantum systems ...
Adam R. Brown
semanticscholar +1 more source
∗-K-Operator Frame for Hom∗A(X)
European 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
Royal 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
Moroccan 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
AIMS 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
European 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
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Differential geometry of weightings
Advances 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