Using molecular graph theory we studied the binding of NSFRY-NH2 and 12 related pentapeptide amides to Cu(II) as a model system for atrial natriuretic factor (ANF) peptide interactions with copper. Linear regression models based on the valence connectivity index of the 3rd order (3χv) reproduced experimental stability constants (log β) for 1N, 2N, 3N, and 4N coordinated complexes with the stand...

Univariate Birnbaum-Saunders distribution has received a considerable amount of attention in recent years. Rieck and Nedelman (1991, ’A log-linear model for the Birnbaum-Saunders distribution’, Technometrics, 51-60) introduced a log BirnbaumSaunders distribution. The main aim of this paper is to introduce bivariate log Birnbaum-Saunders distribution. The proposed model is symmetric and it has f...

This study aimed to develop a Japanese version of the Iowa Gambling Task (IGT) using Psychology Experiment Building Language based on English version. Additionally, we tested equivalence these versions biological test. We randomly assigned 63 undergraduate and graduate students from several universities our parallel design experiment. evaluated by determining differences between logs number car...

In a family of random variables, Taylor’s law or power fluctuation scaling is variance function that gives the $$\sigma ^{2}>0$$ variable (rv) X with expectation $$\mu >0$$ as $$ : ^{2}=A\mu ^{b}$$ for finite real $$A>0,\ b$$ are same all rvs in family. Equivalently, TL holds when $$\log \sigma ^{2}=a+b\log \mu ,\ a=\log A$$ , some set. Here we analyze possible values exponent b five families i...

In the directed Steiner tree (DST) problem, we are given an $n$-vertex edge-weighted graph, a root $r$, and collection of $k$ terminal nodes. Our goal is to find minimum-cost subgraph that contains path from $r$ every terminal. We present $O(\log^2 k/\log\log{k})$-approximation algorithm for DST runs in quasi-polynomial time, i.e., time $n^{{poly}\log (k)}$. By assuming projection game conjectu...

INTRODUCTION The new, five-level version of the EQ-5D (EQ-5D-5L) questionnaire has better psychometric properties than the standard three-level version (EQ-5D-3L), including a reduced ceiling effect. Currently, there are few existing population norms for the EQ-5D-5L. The aims of this study were to provide population norms for the EQ-5D-5L in Poland, based on a representative sample of adults, ...