ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F13458 on R1864: Sum of Bell coefficients
F13458
Formulation 1
Let $X$ be a D17: Finite set such that
(i) \begin{equation} |X| = N \in \mathbb{N} \end{equation}
(ii) $\text{Part} X$ be the D2910: Set of proper set partitions for $X$
Then \begin{equation} | \text{Part} X | = \sum_{n = 0}^N {N \brace n} \end{equation}