Measurable Events Indexed by Trees

Measurable events indexed by products of trees

A tree T is said to be homogeneous if it is uniquely rooted and there exists an integer b > 2, called the branching number of T , such that every t ∈ T has exactly b immediate successors. A vector homogeneous tree T is a finite sequence (T1, ..., Td) of homogeneous trees and its level product ⊗T is the subset of the cartesian product T1 × ...× Td consisting of all finite sequences (t1, ..., td)...

Measurable events indexed by words

For every integer k > 2 let [k] 1 is a subset of [k]<N of the form {w} ∪ { ww0(a0) ...wn(an) : n ∈ {0, ...,m− 1} and a0, ..., an ∈ [k] } where w is a word over k and (wn) m−1 n=0 is a finite sequence of left variable words over k. We study the behavior of a family of measurable events in a probability space index...

Efficient Range Minimum Queries using Binary Indexed Trees

We present new results on Binary Indexed Trees in order to efficiently solve Range Minimum Queries. We introduce a way of using the Binary Indexed Trees so that we can answer different types of queries, e.g. the range minimum query, in O (log N ) time complexity per operation, outperforming in speed similar data structures like Segment/Range Trees or the Sparse Table Algorithm.

بررسی مدارک علمی نمایه شده ایران در پایگاه مدلاین در زمینه بایومارکرها در سال های 2000 تا 2011

Background and purpose: Biomarkers are measurable characteristic that reflect the severity or the presence of some diseases states. It can be used to examine organ function and other aspects of health states. The objective of the current study was to analyze the trend of scientific production originated by Iranian authors. Material and methods: Scientometrics and economic indicators were used ...

Large deviations of Markov hains indexed by random trees