Results 1 to 10 of about 3,874,097 (365)
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
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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
Applied Calculus of Variations for Engineers, 2018 This chapter presents some elements of differential geometry, the ‘vector’ version of Euclidean geometry in curvilinear coordinates. In doing so, it provides an intrinsic definition of the covariant derivative and establishes a relation between the ...
L. Komzsik
semanticscholar +3 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
Multiview Differential Geometry of Curves
International Journal of Computer Vision, 2016 The field of multiple view geometry has seen tremendous progress in reconstruction and calibration due to methods for extracting reliable point features and key developments in projective geometry.
Fabbri, Ricardo, Kimia, Benjamin
core +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
An Introduction to Infinite-Dimensional Differential Geometry [PDF]
, 2021 Introducing foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, this text is based on Bastiani calculus. It focuses on two main areas of infinite-dimensional geometry: infinite-dimensional Lie groups and weak ...
Alexander Schmeding
semanticscholar +1 more source