= Component-band vertex count
{title2=$N_{[k,\ell)}(G)=\sum_{C:k\leq|C|<\ell}|C|$}
This is the total number of <vertices> in <graph components> with orders in the specified half-open interval. It differs from the number of those <graph components>. Write $N_{\geq k}$ for the total above the lower endpoint. Then $N_{[k,\ell)}=N_{\geq k}-N_{\geq\ell}$. Disjoint size bands count disjoint sets of <vertices> at a common time, even though their mass may move between bands as an <Achlioptas process> adds <edges>.
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