In many applications of graph colouring the sizes of colour classes should not be too large. For example, in scheduling jobs (some of which could be performed at the same time), it is not good if the resulting schedule requires many jobs to occur at some specific time. An application of this type is discussed in [8]. A possible formalization of this restriction is the notion of equitable colour...

The previously reported carbon dioxide fixation reaction by the planar terminal hydroxide complex [Ni(pyN2(Me2))(OH)](1-) in DMF has been further characterized by determination of the equilibrium constants K(eq)²⁹⁸ = 2.4 ± 0.2 × 10(5) M(-1) and K(eq)²²³ = 1.3 ± 0.1 × 10(7) M(-1), as well as the volume of activation for the CO2 binding (ΔV(on)(≠223) = -21 ± 3 cm(3) mol(-1)) and back decarboxylat...

let $r$ be a commutative ring and let $m$ be an $r$-module. we define the small intersection graph $g(m)$ of $m$ with all non-small proper submodules of $m$ as vertices and two distinct vertices $n, k$ are adjacent if and only if $ncap k$ is a non-small submodule of $m$. in this article, we investigate the interplay between the graph-theoretic properties of $g(m)$ and algebraic properties of $m...

background measuring health status by using standardized and validated instrument has become a growing concern over the past few decades throughout the developed and developing countries. the aim of the study was to investigate the overall self-reported health status along with potential inequalities by using euroqol 5 dimensions (eq-5d) instrument among low-income people of bangladesh.   me...

In our study ethoxyquin (EQ) and its two complexes with flavonoids were obtained from ethoxyquin (1,2-dihydro-6-ethoxy-2,2,4-trimethylquinoline, EQ) and quercetin (EQ-Q, 1:1) or rutin (EQ-R, 1:1). Cytotoxicity of the tested compounds was studied using the trypan blue exclusion method and the properties of the studied compounds were also analyzed with the TUNEL method evaluating their ability to...

where {xi, i = 1, 2, 3,..} is a sequence of random vectors and {Xt, t>_.0} is a Brownian motion. In this note, we show that if {Ak, k = 1, 2, 3,...} and {bk, k--1, 2, 3,...} are processes satisfying almost-sure bounds analogous to Eq. (1), (where { X , t />0} could be a more general Gauss -Markov process) then {hk, k = I, 2, 3,...}, the solution of the stochastic approximation or adaptive filte...

Using the representation of Eq(2) on the non-commutative space zz ∗−qz∗z = σ; q < 1, σ > 0 summation formulas for the product of two, three and four q-Kummer functions are derived.

A semi-empirical model for pool boiling over porous surfaces is presented. The pressure drop across the porous surface is estimated using Darcy 's law. The signi®cance of the latent heat ̄ux contribution for highly porous surfaces is examined. Two nucleation factors are de®ned and correlated in terms of measurable quantities using literature data. An expression for the total heat ̄ux in terms o...