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Singularities of Birational Geometry via Arcs and Differential Operators

2021
We study singularities of algebraic varieties, in particular those arising in birational geometry, from several points of view. The first is that of arc schemes: arc schemes parametrize “infinitesimal curves” on a variety, and their geometry reflects properties of singularities.
openaire   +2 more sources

Arc erosion characteristics of pseudospark discharge in multiaperture geometry

Journal of Applied Physics, 2002
Analysis of discharge mechanism in especially designed pseudosparks that facilitate pseudospark characteristic low-erosive conduction at very high currents is presented. The alternate formulation of criterion for transition to arc discharge phase developed here enables us to account for the emergence of arcs at each aperture after a threshold electric ...
Ahmer Naweed   +3 more
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Effect of electrode geometry on the tanh conductivity arc model

Journal of Applied Physics, 1978
Conservation of energy for the temperature field is solved jointly with conservation of charge for the electrostatic potential for an arc in which the effects of convection and radiation are neglected. The electrical conductivity is modeled by a hyperbolic tangent function.
Bejoy K. Choudhury, Ira M. Cohen
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Arc Geometry I: Differential and Topological Structure of Arc Helices

We introduce a class of space curves called Arc Helices, generated by a two-frequency parametrization combining circular motion with periodic arc modulation. Unlike classical helices, which cannot adequately describe structures with internal systemic tension or non-spacetime topological mappings, the double-frequency parametrization of Arc Helices ...
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Arc Geometry II: Variational Structures and Energies of Arc Helices

Arc Geometry II develops the variational framework of Arc Geometry and continues the program initiated in Arc Geometry I: Differential and Topological Structure. Arc Geometry studies a class of spatial curves called Arc Helices, defined by a two-frequency helical modulation.
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Distance geometry of metric arcs II

Archiv der Mathematik, 1958
Abel, William R., Blumenthal, Leonard M.
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Distance Geometry of Metric Arcs

The American Mathematical Monthly, 1957
William R. Abel, Leonard M. Blumenthal
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Influence of Magnets on Arc Shape and Bead Geometry in Gas Tungsten Arc Welding

Materials and Manufacturing Processes, 2023
PARAMJEET SHAKYA   +2 more
exaly  

Influence of Magnets on Arc Shape and Bead Geometry in Gas Tungsten Arc Welding

Materials and Manufacturing Processes, 2022
Paramjeet Shakya   +2 more
openaire   +1 more source

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