Deformed Galilei symmetry

A particular deformation of central extended Galilei group is considered. It is shown that the deformation influences the rules of constructing the composed systems while one particle states remain basically unaffected. In particular the mass appeared to be non additive.Comment: 14 pages LaTeX2e fil

Notes on the morphology of the tricuspid valve in the adult human heart

Rapid progress in the field of interventional cardiology has caused research in the field of morphometry of the heart to be in constant demand [7–10, 12]. In this study, performed on a group of 75 adult human hearts, the authors have attempted to assess the form and number of the main and accessory cusps in the tricuspid valve. We have classified particular forms into 8 groups, depending on the number of cusps and we have divided the cusps into 3 main groups, depending on the support of the chordae tendineae

Basic axes of human heart in correlation with heart mass and right ventricular wall thickness

A comparison of the data published in anatomy textbooks and anthropological tables does not reveal any change in basic heart dimensions during the period since the beginning of the 20th century to nowadays. However, normal values of many other parameters have changed up to 30% over the same period. These changes may be caused by the acceleration phenomenon or the extension of average lifespan. The progress of laboratory medicine methodology permitted the introduction of new biochemical tests in myocardial infarct diagnosis, such as myoglobin and troponins T and I measurement, as well as better understanding of cardiac metabolism. Parameters describing the direction and intensity of metabolic changes are substrate extraction and metabolic equilibrium. The expression describing metabolic equilibrium contains heart mass value. Therefore, as studying heart mass in vivo is not possible, it may be important to study it in vitro. The study was performed on a group of 107 formalin-fixed human hearts. The organs came from adults of both sexes: 30 women and 77 men, aged 18 to 90 years. None of the hearts carried signs of macroscopic developmental abnormalities or pathologic changes

Jordanian Quantum Deformations of D=4 Anti-de-Sitter and Poincare Superalgebras

We consider a superextension of the extended Jordanian twist, describing nonstandard quantization of anti-de-Sitter ($AdS$) superalgebra $osp(1|4)$ in the form of Hopf superalgebra. The super-Jordanian twisting function and corresponding basic coproduct formulae for the generators of $osp(1|4)$ are given in explicit form. The nonlinear transformation of the classical superalgebra basis not modifying the defining algebraic relations but simplifying coproducts and antipodes is proposed. Our physical application is to interpret the new super-Jordanian deformation of $osp(1|4)$ superalgebra as deformed D=4 $AdS$ supersymmetries. Subsequently we perform suitable contraction of quantum Jordanian $AdS$ superalgebra and obtain new $\kappa$-deformation of D=4 Poincare superalgebra, with the bosonic sector describing the light cone $\kappa$-deformation of Poincare symmetries.Comment: LaTeX,13 pages, comments and references added, to be published in Eur.Phys.J.

Proper holomorphic mappings between symmetrized ellipsoids

We characterize the existence of proper holomorphic mappings in the special class of bounded $(1,2,...,n)$-balanced domains in $\mathbb{C}^n$, called the symmetrized ellipsoids. Using this result we conclude that there are no non-trivial proper holomorphic self-mappings in the class of symmetrized ellipsoids. We also describe the automorphism groupof these domains.Comment: 10 pages, some modification

On the unitarity of higher-dervative and nonlocal theories

We consider two simple models of higher-derivative and nonlocal quantu systems.It is shown that, contrary to some claims found in literature, they can be made unitary.Comment: 8 pages, no figure

Septomarginal trabecula and anterior papillary muscle in primate hearts: developmental issues

The septomarginal trabecula is present in all human hearts as well as in thehearts of other primates. It usually connects the interventricular septum withthe anterior papillary muscle, although there are many variations in how this isachieved. The object of the analyses was to estimate the bilateral topography ofthe septomarginal trabecula and the anterior papillary muscle in the context ofthe ontogeny and phylogeny of primates. A total of 138 hearts were examinedfrom number of different non-human primates. The presence of the septomarginaltrabecula was confirmed in 94.9% of cases, although not in the hearts ofLemur varius. Four configurations could be distinguished by defining the locationof the septomarginal trabecula and its relation to the anterior papillary muscle.For the hearts of the Strepsirrhini and the majority of Platyrrhini neither structurewas related, whereas in all examined representatives of Hominoidea they hadfused and created morphologically varying forms. On the basis of these results,a concept was developed for the sequence of changes which the topography ofthe septomarginal trabecula and the anterior papillary muscle undergo duringontogeny and phylogeny