q-Analogs of the inclusion- exclusion principle and permutations with restricted position
نویسندگان
چکیده
منابع مشابه
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...
متن کاملPermutations with Restricted Position
6. Concluding Remarks. Preliminary analysis indicates that parallel computation, using modular arithmetic, is feasible for certain kinds of problems. The parallel computation envisioned here leads very swiftly to a solution encoded "in modular notation." By this is meant, a system of simultaneous congruences, whose solution (in a specified interval), written as a binary number, has as its initi...
متن کاملthe 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...
متن کاملCounting Problems and the Inclusion-Exclusion Principle
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...
متن کاملThe 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 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1992
ISSN: 0012-365X
DOI: 10.1016/0012-365x(92)90622-m