Combinatorial theorems in sparse random sets
... We develop a new technique that allows us to show in a unified way that many well-known combinatorial theorems, including Turán’s theorem, Szemerédi’s theorem and Ramsey’s theorem, hold almost surely inside sparse random sets. For instance, we extend Turán’s theorem to the random setting by showi ...
... We develop a new technique that allows us to show in a unified way that many well-known combinatorial theorems, including Turán’s theorem, Szemerédi’s theorem and Ramsey’s theorem, hold almost surely inside sparse random sets. For instance, we extend Turán’s theorem to the random setting by showi ...
Probabilistic reasoning with answer sets
... Bayesian nets (CBN’s) acts as the probabilistic foundation of P-log, CBN’s are defined precisely in Appendix II, where it is shown that each CBN maps in a natural way to a P-log program. The last characteristic feature of P-log we would like to mention here is its probabilistic non-monotonicity — th ...
... Bayesian nets (CBN’s) acts as the probabilistic foundation of P-log, CBN’s are defined precisely in Appendix II, where it is shown that each CBN maps in a natural way to a P-log program. The last characteristic feature of P-log we would like to mention here is its probabilistic non-monotonicity — th ...
Prof. Dr. Somesh Kumar Department of Mathematics Indian Institute
... distributionthe mean does not exist;therefore, there is no question of higher order moments also existing. However, if we look at F x then it is equal to 1 by pi tan inverse x minus pi by 2and if we calculate, no this is plus pi by 2. So, if we calculatesay the point F x m is equal to half, then thi ...
... distributionthe mean does not exist;therefore, there is no question of higher order moments also existing. However, if we look at F x then it is equal to 1 by pi tan inverse x minus pi by 2and if we calculate, no this is plus pi by 2. So, if we calculatesay the point F x m is equal to half, then thi ...