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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
Differential Geometry from Differential Equations [PDF]
The 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 +7 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]
MicromachinesThis 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
Coset Models and Differential Geometry [PDF]
Gauge Theories, Applied Supersymmetry and Quantum Gravity II, 1996 String propagation on a curved background defines an embedding problem of surfaces in differential geometry. Using this, we show that in a wide class of backgrounds the classical dynamics of the physical degrees of freedom of the string involves 2-dim ...
Sfetsos, Konstadinos
core +4 more sources
Differential Geometry of the q-plane [PDF]
International Journal of Modern Physics A, 2001 Hopf algebra structure on the differential algebra of the extended $q$-plane is defined. An algebra of forms which is obtained from the generators of the extended $q$-plane is introduced and its Hopf algebra structure is given.Comment: 9 ...
Reshetikhin N. Y. +2 more
core +4 more sources
Some aspects of noncommutative differential geometry [PDF]
arXiv, 1995 We discuss in some generality aspects of noncommutative differential geometry associated with reality conditions and with differential calculi. We then describe the differential calculus based on derivations as generalization of vector fields, and we show its relations with quantum mechanics. Finally we formulate a general theory of connections in this
Dubois-Violette, Michel
arxiv +3 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