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I was reading a sort of mini-bio on Sylvester the other day and a "Theory of Compound Partitions" was mentioned in the discussion of his research interests. I wanted to ask, is this the same or the precursor to Partitions from Number Theory today? Thanks to all in advance.

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It appears that to get a compound partition of $n$, you take a partition of $n$ and then partition each of the parts in that partition. I gather this from the first paragraph of G. S. Ely, The Method of Graphs Applied to Compound Partitions, American Journal of Mathematics Vol. 6, No. 1, 1883 - 1884, Pages 382-384, which may or may not be freely available at

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Ah, yes; that clears up a lot. Thanks! – ThisIsNotAnId May 31 '12 at 22:59

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