An operator approach to the principle of inclusion and exclusion
نویسندگان
چکیده
منابع مشابه
An Operator Approach to the Principle of Inclusion and Exclusion
Using an operator approach we derive Sylvester-Whitworth formulae for sets A'a. By the same token we treat the problem where both sets of A's and B's are involved. Our result extends the Sylvester-Whitworth inclusion and exclusion formula to the resolution of the number of elements in exactly mi sets of A's and mi sets of B's respectively. The formula are applied to the complete graph and compl...
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Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski's inclusion-exclusion principle for probabilities on IF-events.Finally, we give some applications of this principle by...
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the inclusion-exclusion principle for if-states
applying two definitions of the union of if-events, p. grzegorzewski gave two generalizations of the inclusion-exclusion principle for if-events.in this paper we prove an inclusion-exclusion principle for if-states based on a method which can also be used to prove grzegorzewski's inclusion-exclusion principle for probabilities on if-events.finally, we give some applications of this principle by...
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In this paper, we present improved techniques for computing and getting bounds on the cardinality of a union of sets using the inclusion-exclusion principle and Bonferroni inequalities. We organize the terms involved in the inclusionexclusion sum as a tree, showing that a set inclusion between a parent and its children yields a cancellation, where we may prune an entire subtree. Next, we provid...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1986
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1986-0822454-1