Adiprasito Huh Katz Log Concavity is a result in [matroid theory](/page/Matroid%20Theory). It formalizes the assertion that let be a matroid of rank , and write \begin{align } \chi M(q) = \sum {k=0}^{r} ( 1)^k w k(M) q^{r k}. \end{align } Then the sequence is log concave: \begin{align } w k(M)^2 \ge w {k 1}(M)w {k+1}(M) \end{align } for.