A fundamental quantity which arises in the sorting of n numbers app**.9an is Pr(ai < aj \ P) , the probability that ai < a. assuming J that all linear extensions of the partial order P are equally likely. In this paper we establish various properties of Pr(ai < aj 1 P) and related quantities. In particular, it is shown that Pr(ai < bj 1 P') 2 Pr(ai < bj 1 P) , if the partial order P consists of...

As part of the integrated efforts that need to be made achieve target becoming a world-class energy company, PHE SHU needs carry out series strategic initiative programs related implementation RCM which carried in several field including all Regions, Zones, Work Areas and Assets. In context implementing at SHU, management has massive simultaneous activities during 2022-2023 period, both debrief...

Behavioural studies have shown that dyslexics are a heterogeneous population and between-group comparisons are thus inadequate. Some subjects do not develop dyslexia despite having a deficit implicated in this disorder, which points to protective factors. Dyslexia co-occurs with ADHD, DCD, SLI, and SSD, so that future behavioural studies will need to screen and/or statistically control for othe...

In this paper, the orders induced by the residual implications obtained from uninorms are investigated. A necessary and sufficient condition is presented so that the ordinal sum of fuzzy implications satisfies the law of importation with a t-norm $T$. Some relationships between the orders induced by an ordinal sum implication and its summands are determined. The algebraic structures obtained fr...