Definition:Stirling Numbers of the Second Kind/Notation

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The notation $\ds {n \brace k}$ for Stirling numbers of the second kind is that proposed by Jovan Karamata and publicised by Donald E. Knuth.

Other notations exist.

Usage is inconsistent in the literature.

Technical Note

The $\LaTeX$ code for \(\ds {n \brace k}\) is \ds {n \brace k} .

The braces around the n \brace k are important.

The \ds is needed to create the symbol in its proper house display style.