UnrankSetPartition[r, set] finds a set partition of set with rank r. UnrankSetPartition[r, n] finds a set partition of {1, 2, ..., n} with rank r.
MaxPlotPoints is an option for plotting functions like ArrayPlot and ListPlot3D that specifies the maximum number of points that will explicitly be included in the output.
FirstLexicographicTableau[p] constructs the first Young tableau with shape described by partition p.
LastLexicographicTableau[p] constructs the last Young tableau with shape described by partition p.
Mathematica provides a complete data manipulation language with vast flexibility in rearranging lists with any number of elements in any kind of structure.
Mathematica not only includes highly optimized implementations of standard image processing filters, but also uses its general symbolic architecture to allow arbitrarily ...
Band
(Built-in Mathematica Symbol) Band[{i, j}] represents the sequence of positions on the diagonal band that starts with {i, j} in a sparse array.Band[{i_min, j_min, ...}, {i_max, j_max, ...}] represents the ...
Tableaux[p] constructs all tableaux having a shape given by integer partition p.
ToCanonicalSetPartition[sp, set] reorders sp into a canonical order with respect to set. ToCanonicalSetPartition[sp] reorders sp into canonical order, assuming that ...
NumberOfTableaux[p] uses the hook length formula to count the number of Young tableaux with shape defined by partition p.