Results 21 to 30 of about 739,586 (175)

POINTLESS SPACES IN GENERAL RELATIVITY [PDF]

open access: yes, 1995
The new approach to quantize the gravity based on the notion of differential algebra is suggested. It is shown that the differential geometry of this object can not be described in terms of points.
C. J. Isham   +10 more
core   +3 more sources

AV-differential geometry and Newtonian mechanics [PDF]

open access: yes, 2006
A frame independent formulation of analytical mechanics in the Newtonian space-time is presented The differential geometry of affine values i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional ...
Grabowska, Katarzyna, Urbanski, Pawel
core   +1 more source

Differential Geometry of Ice Flow

open access: yesFrontiers 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   +1 more source

Functional Segmentation for Preoperative Liver Resection Based on Hepatic Vascular Networks

open access: yesIEEE Access, 2021
Successful liver resection relies on accurate estimation of future liver remnant volume (FLRV). According to Couinaud's scheme, a liver is composed of eight functionally independent segments, each of which has its own vascular in- and out-flow tracks ...
Doan Cong Le   +3 more
doaj   +1 more source

Differential Geometry of Hydrodynamic Vlasov Equations [PDF]

open access: yes, 2007
We consider hydrodynamic chains in $(1+1)$ dimensions which are Hamiltonian with respect to the Kupershmidt-Manin Poisson bracket. These systems can be derived from single $(2+1)$ equations, here called hydrodynamic Vlasov equations, under the map $A^n =\
Andrea Raimondo   +17 more
core   +1 more source

Using Differential Geometry to Revisit the Paradoxes of the Instantaneous Frequency

open access: yesIEEE Open Access Journal of Power and Energy, 2022
This paper proposes a general framework to interpret the concept of Instantaneous Frequency (IF) in three-phase systems. The paper first recalls the conventional frequency-domain analysis based on the Fourier transform as well as the definition of IF ...
Federico Milano   +4 more
doaj   +1 more source

Differential geometry, Palatini gravity and reduction [PDF]

open access: yes, 2013
The present article deals with a formulation of the so called (vacuum) Palatini gravity as a general variational principle. In order to accomplish this goal, some geometrical tools related to the geometry of the bundle of connections of the frame bundle $
Baez J.   +17 more
core   +2 more sources

Nucleon spin decomposition and differential geometry [PDF]

open access: yes, 2015
In the last few years, the so-called Chen et al. approach of the nucleon spin decomposition has been widely discussed and elaborated on. In this letter we propose a genuine differential geometric understanding of this approach.
François, Jordan   +2 more
core   +2 more sources

Geometrical modeling and numerical analysis of edge dislocation

open access: yesNihon Kikai Gakkai ronbunshu, 2021
In this study, we conduct modeling and numerical analysis of a straight edge dislocation in a three-dimensional geometrically nonlinear elastic medium.
Shunsuke KOBAYASHI, Ryuichi TARUMI
doaj   +1 more source

Multiview Differential Geometry of Curves

open access: yes, 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   +1 more source

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