The Bell Number Notations

The number of ways a set of \(n\) elements can be partitioned into nonempty subsets is called a Bell number.

Semantic


Observations of the Bell Number 

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English USA

bell-en.png As found in Bibliography, Bell is defined recursively in the English book as follows
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Germany

bell-de.png
In Bibliography, The German book shows the example in page 117
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Encoding observations of The Bell number

See encodings