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Dealing with degeneracy in triangulation
Computing in Science & Engineering, 2002Here is a method for dealing with a type of degeneracy that often arises in triangulation then the input contains much regularity, such as four or more points that lie on the same circle in 2D computations or five or more on the same sphere in 3D. The paper shows a dramatic application of Francis Sullivan's and my degeneracy method by Alexander Agathos
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Mathematics of the USSR-Izvestiya, 1967
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Physical Review, 1962
Modern cosmological theories imply that the universe is filled with a shallow degenerate Fermi sea of neutrinos. In the steady state and oscillating models (and perhaps also the "big bang" theories) it can be shown rigorously that the proportion of filled neutrino levels (plus the proportion of filled antineutrino levels) is precisely one up to a ...
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Modern cosmological theories imply that the universe is filled with a shallow degenerate Fermi sea of neutrinos. In the steady state and oscillating models (and perhaps also the "big bang" theories) it can be shown rigorously that the proportion of filled neutrino levels (plus the proportion of filled antineutrino levels) is precisely one up to a ...
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On a Degeneracy Theorem of Kramers
American Journal of Physics, 1952There is a theorem due to Kramers which states that the energy states of systems with an odd number of electrons remain at least doubly degenerate in the presence of any purely electric fields. The physical significance of this theorem, its proof, and a discussion of the relationship of the Kramers degeneracy and the Wigner time-reversal operation are ...
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A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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