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Cofree compositions of coalgebras
multiplihedron composihedron binary tree cofree coalgebra
2011/2/21
We develop the notion of the composition of two coalgebras, which arises naturally in higher category theory and in the theory of species. We prove that the composition of two cofree coalgebras is aga...
Non-trivial Compositions of Differential Operations and Gateaux Directional Derivative
Differential Operations Gateaux Directional Derivative
2010/11/8
This paper is devoted to the enumeration of non-trivial compositions of higher order of differential operations and Gateaux directional derivative in $R^n$. We present recurrences for counting non-tri...