
In this paper we introduce the $r$-equilibrium problem and discuss connections to the map $det^{S^r}$. The case $r=2$ is an application of Newton's third law of motion, while $r=3$ deals with equilibrium of torque-like forces.
11 pages, all comments are welcome
Primary 15A15, Rings and Algebras (math.RA), FOS: Mathematics, FOS: Physical sciences, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Mathematical Physics
Primary 15A15, Rings and Algebras (math.RA), FOS: Mathematics, FOS: Physical sciences, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Mathematical Physics
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