Monotone subsequence via ultrapower
نویسندگان
چکیده
منابع مشابه
Counting permutations with no long monotone subsequence via generating trees and the kernel method
We recover Gessel’s determinantal formula for the generating function of permutations with no ascending subsequence of length m + 1. The starting point of our proof is the recursive construction of these permutations by insertion of the largest entry. This construction is of course extremely simple. The cost of this simplicity is that we need to take into account in the enumeration m − 1 additi...
متن کاملSequential Selection of a Monotone Subsequence from a Random Permutation
We find a two term asymptotic expansion for the optimal expected value of a sequentially selected monotone subsequence from a random permutation of length n. A striking feature of this expansion is that it tells us that the expected value of optimal selection from a random permutation is quantifiably larger than optimal sequential selection from an independent sequence of uniformly distributed ...
متن کاملNon-monotone Dualization via Monotone Dualization
The non-monotone dualization (NMD) is one of the most essential tasks required for finding hypotheses in various ILP settings, like learning from entailment [1, 2] and learning from interpretations [3]. Its task is to generate an irredundant prime CNF formula ψ of the dual f where f is a general Boolean function represented by CNF [4]. The DNF formula φ of f is easily obtained by De Morgan’s la...
متن کاملOptimal Online Selection of a Monotone Subsequence: A Central Limit Theorem
Consider a sequence of n independent random variables with a common continuous distribution F, and consider the task of choosing an increasing subsequence where the observations are revealed sequentially and where an observation must be accepted or rejected when it is first revealed. There is a unique selection policy πn* that is optimal in the sense that it maximizes the expected value of Ln(π...
متن کاملUltrapower of N and Density Problems
We show how we can apply ultrapower methods to density problems in additive/combinatorial number theory.
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: Open Mathematics
سال: 2018
ISSN: 2391-5455
DOI: 10.1515/math-2018-0015