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math-ph2019
The role of pseudo-hypersurfaces in non-holonomic motion
D. H. Delphenich
The geometry of hypersurfaces is generalized to pseudo-hypersurfaces, which are defined by Pfaff equations. The general methods are then applied to modeling the kinematics of motio…
math-ph2019
Homology, equilibrium, and conservation laws I: Discrete systems of points
D. H. Delphenich
The methods of abstract simplicial homology and cohomology are reviewed and applied to the topology of electrical networks. Kirchhoffs laws of electrical circuits are shown to be m…