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Summary Of: Multiset

of a multiset can have more than one... note how a multiset can also be considered an unordered tuple... A multiset corresponds to an ordinary set if the multiplicity of every element is one... A related example is the multiset of solutions of an algebraic equation... Thus the multiset of solutions of the equation could be... where the last two expressions express the multiset coefficient in two ways as a binomial coefficient... This is a multiset of cardinality 18 made of elements of a set of cardinality 4... The multiset of submultisets of the multiset... multiset is called a... The infinite multiset of finite multisets of elements taken from the multiset... The infinite multiset of finite multisets of elements taken from the multiset... multiset of real numbers... derivative of the cumulant generating function of a multiset of real numbers... generating function of the multiset of sums of elements of two multisets of numbers is the sum of the two... the special case of a constant times a multiset of numbers is...

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mathematics | set | member | membership | Nicolaas Govert de Bruijn | Richard Dedekind | cardinality | multiplicity | tuples | tuples | multiplicity | set theory | function | positive | natural numbers | graph | ordered pairs | generalization | indexed family | indicator function | intersection | union | subset | cartesian product | cardinality | generalize | prime | divisors | 120 | prime factorization | quadratic equation | Stars and bars (probability) | binomial coefficients | complex number | empty product | Gian-Carlo Rota | citation needed | philosophers of mathematics | monomial | binomial | polynomial | binomial coefficient | combinations | statistical population | statistical sample | binomial theorem | hypergeometric distribution | inferential statistics | formal power series | binomial coefficients | non-negative integer | derivative | mean value | variance | cumulants | formal power series | partition function (statistical mechanics) | generalization | standard normal distribution | standard normal distribution | standard deviation | normal distribution | random variable | free object | commutative | monoid | free abelian group | Knuth, Donald E. | The Art of Computer Programming | Addison Wesley | ISBN 0201896842 | doi | ISBN 0-444-82351-4 | ISBN 0-521-55309-1 | Categories | Basic concepts in set theory | Factorial and binomial topics | All articles with unsourced statements | Articles with unsourced statements since August 2007 |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Multiset".