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math.CO2019
An SOS counterexample to an inequality of symmetric functions
Alexander Heaton, Isabelle Shankar
It is known that differences of symmetric functions corresponding to various bases are nonnegative on the nonnegative orthant exactly when the partitions defining them are comparab…
math.MG2019
Nonlinear algebra with tensegrity structures
Alexander Heaton
In this paper, we discuss tensegrity from the perspective of nonlinear algebra in a manner accessible to undergraduates. We compute explicit examples and include the SAGE and Julia…