multiset
suomi-englanti sanakirjamultiset englanniksi
A generalized type of set in which multiple occurrences of an element are permitted.
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{{quote-book|en|year=2002|author=Gheorghe Pǎun|title=Membrane Computing: An Introduction|pageurl=https://books.google.com.au/books?id=8CE3BZ7y_kIC&pg=PA50&dq=%22multiset%22%7C%22multisets%22&hl=en&sa=X&ved=0ahUKEwiFtLr20ZTcAhXGv7wKHYtBAdYQ6AEIZzANv=onepage&q=%22multiset%22%7C%22multisets%22&f=false|page=49|publisher=Springer
2006, Xin Chen, Lan Liu, Zheng Liu, Tao Jiang, ''On the Minimum Common Integer Partition Problem'', Tiziana Calamoneri, Irene Finocchi, Giuseppe F. Italiano (editors), ''Algorithms and Complexity: 6th Italian Conference CIAC 2006, Proceedings'', Springer, (w) 3998, page 236,
- A ''partition'' of a positive integer ''n'' is a multiset of positive integers that add up to exactly ''n'', and an ''integer partition'' of a multiset ''S'' of integers is defined as the multiset union of partitions of integers in ''S''.
2012, Edward A. Scheinerman, ''Mathematics: A Discrete Introduction'' Brooks/Cole (Cengage Learning), page 102,
- Two multisets are the same provided they contain the same elements with the same multiplicities. For example, {1, 2, 3, 3} = {3, 1, 3, 2}, but {1, 2, 3, 3} ≠ {1, 2, 3, 3, 3}.