Dominance order on partitions
= Dominance order on partitions
{wiki=Dominance_order}
For partitions of the same integer, $\lambda$ dominates $\mu$ when
$$
\sum_{i=1}^r\lambda_i\geq\sum_{i=1}^r\mu_i
$$
for every $r$.
= Dominance order on partitions
{wiki=Dominance_order}
For partitions of the same integer, $\lambda$ dominates $\mu$ when
$$
\sum_{i=1}^r\lambda_i\geq\sum_{i=1}^r\mu_i
$$
for every $r$.