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.
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 http://www.jstor.org/stable/10.2307/2369233.