The subshape recognition problem for three-dimensional shapes under linear transformations is considered. The problem is analysed in a series of cases, some that provide a determinate number of solutions and others that have indeterminately many solutions. Procedures for its solution for general shapes are developed. Difficulties posed by strict adherence to rational transformations are examine...

Human corneal endothelial cells are a non-proliferative cell type. As a result of the increase in corneal endothelium disease, increasing numbers of studies have been conducted in order to promote corneal endothelial cell proliferation. The aim of the present study was to investigate the proliferative effects of Rho-associated protein kinase inhibitor, Y-27632, on rabbit corneal endothelial cel...

Categorial grammars adhere to the group of formalisms aiming at a description of natural languages in which the syntactic role of expressions is described by means of types. Types are indices of two forms | primitive or compound. Compound types are built inductively by means of three type-forming operators: left division n , right division / and product. Thus, formally, for a given set Pr of pr...

The problem of finding the equilibrium shape of a small particle by the Wulff construction is reviewed briefly, with emphasis on its applications to liquid crystals. The proof of Wulff’s theorem is stated in a concise mathematical form. Some typical equilibrium shapes of liquid crystalline cirops are described. When there is orientational order of the molecules in the liquid crystal but no tran...

We calculate single parton distributions inside quark and gluon jets within the coherent branching formalism, which resums leading and next-to-leading logarithmic contributions. This formalism is at the basis of the modified leading logarithmic approximation (MLLA), and it conserves energy exactly. For a wide preasymptotic range of the evolution variable Y = ln [Eθ/Q0], we find marked differenc...

Using a wall-less tissue-equivalent proportional counter for a 0.72-μm site in tissue, we measured the radial dependence of the lineal energy distribution, yf(y), of 290-MeV/u carbon ions and 500-MeV/u iron ion beams. The measured yf(y) distributions and the dose-mean of y, [Formula: see text], were compared with calculations performed with the track structure simulation code TRACION and the mi...

The q-numerical range (0 ≤ q ≤ 1) of an n × n matrix polynomial P (λ) = Amλ m + · · ·+ A1λ + A0 is defined by Wq(P ) = {λ ∈ C : y∗P (λ)x = 0, x, y ∈ C, x∗x = y∗y = 1, y∗x = q}. In this paper, we investigate the boundary and the shape of Wq(P ), using the notion of local dimension. We also obtain that the q-numerical range of first order matrix polynomials is always simply connected. Moreover, t...

We apply new techniques developed in [PV1] to the study of some surface effects in the 2D Ising model. We examine in particular the pinningdepinning transition. The results are valid for all subcritical temperatures. By duality we obtained new finite size effects on the asymptotic behaviour of the two– point correlation function above the critical temperature. The key–point of the analysis is t...

Nasopharyngeal Carcinoma (NPC) is a highly happening disease. Eustachain tube atrisia after radiotherapy is easy to occur in NPC patients. This study presented 2 cases of re-opening of Eustschian tube atresia after radiotherapy for NPC patients. Two female cases (62 and 64 y old; receiving postradiothapy 6 and 20 y ago, respectively) were diagnosed with Eustachian tube pharyngeal orifice atrisi...