  Recently, Bollen, Draisma, and Pendavingh have introduced the Lindstr\"om
valuation on the algebraic matroid of a field extension of characteristic p.
Their construction passes through what they call a matroid flock and builds on
some of the associated theory of matroid flocks which they develop. In this
paper, we give a direct construction of the Lindstr\"om valuated matroid using
the theory of inseparable field extensions. In particular, we give a
description of the valuation, the valuated circuits, and the valuated
cocircuits.
