identity: In other words, B(n) = Σk-1 S(n,k). Prove the following n B(n) = ± (1) B(i) i=0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Discrete Math (Proving)

Bell number problem
A set partition of [n] = [1,..., n] is a Bell number B(n) if and only if it contains all the elements of the set. 

identity:
In other words, B(n) = Σk-1 S(n, k). Prove the following
dk=1
B(n) =Σ(0) B)
i=0
Transcribed Image Text:identity: In other words, B(n) = Σk-1 S(n, k). Prove the following dk=1 B(n) =Σ(0) B) i=0
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