Difference between revisions of "Multiset"

m
m
Line 4: Line 4:
  
 
Note that the order of the elements is unimportant, so <math>\displaystyle \{1, 1, 2, 3\}= \{3, 1, 2, 1\}</math>.
 
Note that the order of the elements is unimportant, so <math>\displaystyle \{1, 1, 2, 3\}= \{3, 1, 2, 1\}</math>.
 +
 +
[[Category:Definition]]

Revision as of 22:54, 12 November 2006

A multiset is a slight generalization of the notion of a set. A set is defined by whether or not each object is an element. A multiset is defined not just by its elements, but also by how many times each element is contained. In other words, a multiset is a set where duplication of elements is allowed.

For example, $\{1, 1, 2, 3\} \neq \{1, 2, 3\}$ as multisets.

Note that the order of the elements is unimportant, so $\displaystyle \{1, 1, 2, 3\}= \{3, 1, 2, 1\}$.

Invalid username
Login to AoPS