Results 11 to 20 of about 238,893 (183)
Simplified modeling of EM field coupling to complex cable bundles [PDF]
In this contribution, the procedure "Equivalent Cable Bundle Method" is used for the simplification of large cable bundles, and it is extended to the application on differential signal lines.
B. Schetelig +5 more
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Heat Kernels Estimates for Hermitian Line Bundles on Manifolds of Bounded Geometry
We consider a family of semiclassically scaled second-order elliptic differential operators on high tensor powers of a Hermitian line bundle (possibly, twisted by an auxiliary Hermitian vector bundle of arbitrary rank) on a Riemannian manifold of bounded
Yuri A. Kordyukov
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A direct relation between bending energy and contact angles for capillary bridges
The didactic object of these developments on differential geometry of curves and surfaces is to present fine and convenient mathematical strategies, adapted to the study of capillary bridges. The common thread is to be able to calculate accurately in any
Millet, Olivier, Gagneux , Gérard
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Design of developable surfaces using the given data points
Many products such as ships, buildings, and clothes contain developable surfaces generated by sweeping a straight line along a three-dimensional curve.
Kotaro YOSHIDA +4 more
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Differential geometry and stochastic dynamics with deep learning numerics [PDF]
In this paper, we demonstrate how deterministic and stochastic dynamics on manifolds, as well as differential geometric constructions can be implemented concisely and efficiently using modern computational frameworks that mix symbolic expressions with ...
Line Kühnel, Alexis Arnaudon, S. Sommer
semanticscholar +1 more source
On the Affine Image of a Rational Surface of Revolution
We study the properties of the image of a rational surface of revolution under a nonsingular affine mapping. We prove that this image has a notable property, namely that all the affine normal lines, a concept that appears in the context of affine ...
Juan G. Alcázar
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Beginning with the classic methods, a mathematical model of an electromechanical system is developed that consists of a deep bar cage induction motor that, via a complex motion transmission with distributed mechanical parameters, drives a working machine,
Andriy Chaban +3 more
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Quantum Riemannian geometry and particle creation on the integer line [PDF]
We construct noncommutative or ‘quantum’ Riemannian geometry on the integers as a lattice line with its natural 2-dimensional differential structure and metric given by arbitrary non-zero edge square-lengths .
S. Majid
semanticscholar +1 more source
nAdder: A scale-space approach for the 3D analysis of neuronal traces.
Tridimensional microscopy and algorithms for automated segmentation and tracing are revolutionizing neuroscience through the generation of growing libraries of neuron reconstructions.
Minh Son Phan +4 more
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Gerbes in Geometry, Field Theory, and Quantisation
This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation.
Bunk Severin
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