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Singularities of Birational Geometry via Arcs and Differential Operators
2021We 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.
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Arc erosion characteristics of pseudospark discharge in multiaperture geometry
Journal of Applied Physics, 2002Analysis 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, 1978Conservation 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 ...openaire +1 more source
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.openaire +1 more source
Distance geometry of metric arcs II
Archiv der Mathematik, 1958Abel, William R., Blumenthal, Leonard M.
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Distance Geometry of Metric Arcs
The American Mathematical Monthly, 1957William 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, 2023PARAMJEET SHAKYA +2 more
exaly
Influence of Magnets on Arc Shape and Bead Geometry in Gas Tungsten Arc Welding
Materials and Manufacturing Processes, 2022Paramjeet Shakya +2 more
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