Recently there has been an extensive study on Relative Semi-Dynamical Systems (RSD-Systems). In this paper, we explore some topological properties of RSD-systems. Here, in particular, minimal RSD-systems are characterized and transitive homeomorphisms are investigated. Moreover, α-level relative topological entropy is extended to RSD-systems. Finally, as a computational example, we develop an R...

Preliminaries • A social decision scheme (SDS) is a function that maps a preference profile to a lottery over the alternatives. Formally, an SDS is a function f : RFN → ∆(A). • An SDS is majoritarian if it only depends on the (unweighted) 
 majority comparisons between alternatives. • We compare lotteries using stochastic dominance (SD). A lottery p is preferred to another lottery q if the expe...

Linearity range (μg/ml) 2.5-15 1-3 2.5-15 1-3 Correlation coefficient (r) 0.999 0.997 0.999 0.997 0.999 0.997 0.998 0.999 Intercept 0.00195 0.00867 0.00195 0.00867 0.00245 0.00951 0.00329 0.00375 Slope 0.0607 0.0508 0.0607 0.0508 0.0605 0.0543 0.0572 0.0698 Accuracy (%) 98.8-102 98.2-98.8 97.5-99.5 100.2-100.9 Repeatability (RSD) 0.472 0.0058 0.467 0.0051 % Recovery 98.5±1.8 102±0.3 99.5±1.8 10...

This paper re-examines the calculation of the relative standard deviation (RSD) measure of competitive balance in leagues in which draws are possible outcomes. Some key conclusions emerging from the exchange between Cain and Haddock (2006) and Fort (2007) are reversed. There is no difference, for any given points assignment scheme, between the RSD for absolute points compared to percentages of ...

BACKGROUND Lung cancer is the leading cause of cancer-related death worldwide. Non-small cell lung carcinoma (NSCLC) accounts for most of the lung cancer cases and the prognosis of this disease remains poor despite decades of intensive investigation. Thus new insights into underlying mechanisms by which NSCLC develops are avidly needed as the basis for development of new lines of therapeutic st...

We employ theoretical and computational techniques to construct new weighing matrices constructed from two circulants. In particular, we construct W (148, 144), W (152, 144), W (156, 144) which are listed as open in the second edition of the Handbook of Combinatorial Designs. We also fill a missing entry in Strassler’s table with answer ”YES”, by constructing a circulant weighing matrix of orde...

Random Serial Dictatorship (RSD) is arguably the most well-known and widely used assignment rule. Although it returns an ex post efficient assignment, Bogomolnaia and Moulin (A new solution to the random assignment problem, J. Econ. Theory 100, 295–328) proved that RSD may not be SD-efficient (efficient with respect stochastic dominance). The result raises the following question: under what con...

A new HPTLC method has been developed for the identification and quantification of ursolic acid in apple peel extract. Ursolic acid can be easily estimated after derivatization with Liebermann TABLE 1: RECOVERY STUDY OF URSOLIC ACID FROM MALUS DOMESTICA PEEL Amount spotted (μg) Peak area (AU) Amount detected (μg) RSD (%) Accuracy (%) 0.91 4098.7 0.91 1.12 100.9 1.14 4677.5 1.13 1.48 99.6 1.36 5...

For assignment problems where agents, specifying ordinal preferences, are allocated indivisible objects, two widely studied randomized mechanisms are the Random Serial Dictatorship (RSD) and Probabilistic Serial Rule (PS). These two mechanisms both have desirable economic and computational properties, but the outcomes they induce can be incomparable in many instances, thus creating challenges i...

Relational rule learning is typically used in solving classification and prediction tasks. However, it can also be adapted to the description task of subgroup discovery. This paper takes a propositionalization approach to relational subgroup discovery (RSD), based on adapting rule learning and first-order feature construction, applicable in individualcentered domains. It focuses on the use of c...