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MultiSet/intersect

MultiSet intersection operator

 Calling Sequence M intersect N intersect( M, N, ... )

Parameters

 M - MultiSet; a MultiSet, set, or list N - MultiSet; a MultiSet, set, or list ... - 0 or more additional MultiSets, sets or lists

Description

 • M intersect N returns the MultiSet which is the intersection of M and N, accounting for multiplicities.  For example, if a has multiplicity 2 in M and 3 in N then it will have multiplicity 2 in M intersect N.
 • The intersect( M, N, ... ) command performs the n-ary intersection of its arguments
 • At least one argument must be a MultiSet for this routine to be invoked.  Any other argument which is expected to be a MultiSet can be a MultiSet, a set or a list; in the latter two cases the argument is converted to a MultiSet before proceeding to evaluate this command.  IsGeneralized(M) must return the same value for all MultiSet arguments M, and all non-MultiSet arguments will be promoted to MultiSets with this same property.

Examples

 > $M≔\mathrm{MultiSet}\left(a=2,b=5,c=4\right)$
 ${M}{≔}\left\{\left[{a}{,}{2}\right]{,}\left[{b}{,}{5}\right]{,}\left[{c}{,}{4}\right]\right\}$ (1)
 > $N≔\mathrm{MultiSet}\left(a=4,c=3\right)$
 ${N}{≔}\left\{\left[{a}{,}{4}\right]{,}\left[{c}{,}{3}\right]\right\}$ (2)
 > $M\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}\mathbf{intersect}\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}N$
 $\left\{\left[{a}{,}{2}\right]{,}\left[{c}{,}{3}\right]\right\}$ (3)
 > $\mathrm{intersect}\left(M,N,\left[b,c,b,c,b\right]\right)$
 $\left\{\left[{c}{,}{2}\right]\right\}$ (4)

Compatibility

 • The MultiSet/intersect command was introduced in Maple 2016.
 • For more information on Maple 2016 changes, see Updates in Maple 2016.

 See Also