The first three statistical moments of the eluted band profiles from reversed-phase liquid chromatographic columns were attempted to be measured and analyzed in this work. And in this first part, the effect of the experimental conditions on the measurement accuracy of the third central moment is investigated. The optimized experimental condition is determined under which the measurement accurac...

We study the classical XY (plane rotator) model at the KosterlitzThouless phase transition. We simulate the model using the single cluster algorithm on square lattices of a linear size up to L = 2048. We derive the finite size behaviour of the second moment correlation length over the lattice size ξ2nd/L at the transition temperature. This new prediction and the analogous one for the helicity m...

The exact controllability to the origin for linear evolution control equation is considered. The problem is investigated by its transformation to infinite linear moment problem of generalized exponentials. The existence of solutions of obtained moment problem is investigated for the case when exponentials of a moment problem do not constitute a Riesz basis. The exact controllability of linear c...

It is not clear whether the strength or endurance of thigh muscles (quadriceps and hamstring) is positively or negatively correlated with the adduction moment of osteoarthritic knees. This study therefore assessed the relationships between the strength and endurance of the quadriceps and hamstring muscles and adduction moment in osteoarthritic knees and evaluated predictors of the adduction mom...

In this note, we study the relationship between the sample and moment Lyapunov exponents for jump linear systems. Using a large deviation theorem, a modified version of Arnold’s formula for connecting sample path and moment Lyapunov exponents for continuous-time linear stochastic systems is extended to discrete-time jump linear systems. Sample path stability properties of linear stochastic syst...