The entropy of irreducible stochastic matrix measures its mixing properties. We show that this quantity is subadditive and strongly subadditive. 1Instytut Matematyki Uniwersytet Jagielloński Reymonta 4, 30-059 Kraków, Poland mail: [email protected] 1 1 Preliminaries Let N ∈ N. We denote the simplex of probability vectors (finite probability distributions) by ∆N = { p ∈ R : pi ≥ 0 for i = 1,...

The effectiveness of a direct quantification assay is essential to the adoption of the combined direct quantification/direct STR workflow. In this paper, the feasibility of using the Quantifiler(®) Trio DNA quantification kit for the direct quantification of forensic casework samples was investigated. Both low-level touch DNA samples and blood samples were collected on PE swabs and quantified d...

introduction: the limited resolution of the imaging system causes partial volume effects (pves). these results in spreading of image counts to the neighboring pixels. this phenomenon is called spill-out effect. this study aimed at quantifying pves using imagej. methods:technetium-99m solution of concentration of 74 kbq/ml was filled into spheres a, b and c of diameters: 26 mm, 20 mm and 16 mm r...

Many engineering systems represent challenging classes of complex dynamic systems. Lacking information about their system properties leads to model uncertainties up to a level where quantification of uncertainties may become the dominant question in modeling, simulation and application tasks. Uncertainty quantification is the prerequisite for probabilistic risk assessment and related tasks. Cur...