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Convergence of Soft Electronics and Artificial Intelligence: From Materials to Intelligent Systems. [PDF]
Park H, Choi G, Yoon S, Lee D, Ko SH.
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Partial Differential Equations in Conformal Geometry
Journal of Mathematical Sciences, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a class of conformal metrics, with application to differential geometry in the large
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Derivation of Dirac's equation from conformal differential geometry
AIP Conference Proceedings, 2012A rigorous ab initio derivation of the (square of) Dirac's equation for a single particle with spin is presented. The theory is carried out in the framework of an approach where it is assumed that quantum phenomena originate from the interplay between the motion of a relativistic spherical top and the non trivial background geometry of its ...
Enrico Santamato, Francesco De Martini
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Differential equations and conformal geometry
Journal of Geometry and Physics, 2002The solution space of certain classes of differential equations whose local solutions are parametrized by three or four arbitrary constants can be endowed with a conformal Lorentzian metrics in a natural way. In this paper it is proved that this conformal structure is preserved when the differential equations are transformed by a contact transformation.
Frittelli, Simonetta +2 more
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Derivation of the Dirac Equation by Conformal Differential Geometry
Foundations of Physics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SANTAMATO, ENRICO, Francesco Martini
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Conformally-differential geometry of submanifolds
Journal of Mathematical Sciences, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Basic Operators in Differential Geometry and Conformal Covariance
2016In this chapter we collect some elementary properties of basic operators such as the Hodge star operator, the codifferential d*, and the interior multiplication iNY (X) by the normal vector field for hypersurfaces Y in pseudo-Riemannian manifolds X.
Toshiyuki Kobayashi +2 more
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Conformal Geometry, Hotine's Conjecture, and Differential Geodesy.
1987Abstract : This report, is based on the Ph.D. dissertation of Wayne Moore, together with a supplement describing details of our recent resolution of Hotine's Conjecture, is a more comprehensive version of a paper of ours which will appear in Bulletion Geodesique.
Wayne A. Moore, Joseph D. Zund
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