In this paper we obtain formulas for the left and right eigenvectors and minimal bases of some families of Fiedler-like linearizations of square matrix polynomials. In particular, for the families of Fiedler pencils, generalized Fiedler pencils, and Fiedler pencils with repetition. These formulas allow us to relate the eigenvectors and minimal bases of the linearizations with the ones of the po...

We prove a balancing condition for weak limits of families of embedded minimal surfaces of finite total curvature. We use it to prove compactness theorems for certain families of minimal surfaces. Mathematics Subject Classification (2000). Primary 53A10.

We characterize minimal open sets in topological spaces. We show that any nonempty subset of a minimal open set is pre-open. As an application of a theory of minimal open sets, we obtain a sufficient condition for a locally finite space to be a preHausdorff space. 2000 Mathematics Subject Classification. 54A05, 54D99.

In this paper, minimal γ-semi-open sets in topological spaces introduce and discuss. Also some properties of pre γ-semi-open sets using properties of minimal γ-semi-open sets obtain. As an application of a theory of minimal γ-semi-open sets, I obtain a sufficient condition for a γ-semi-locally finite space to be a pre γ-semi-T2 space.

a group g is said to be a (pf)c-group or to have polycyclic-by-finite conjugacy classes, if g/c_{g}(x^{g}) is a polycyclic-by-finite group for all xin g. this is a generalization of the familiar property of being an fc-group. de falco et al. (respectively, de giovanni and trombetti) studied groups whose proper subgroups of infinite rank have finite (respectively, polycyclic) conjugacy classes. ...

background: magnetite (fe3o4) nanoparticles are currently one of the important and acceptable magnetic nanoparticles for biomedical applications. to use magnetite nanoparticles for bacteria cell separation, the surface of nanoparticles would be modified for immobilizing of nanoparticles on the surface of bacteria. functionalization of magnetite nanoparticles is performed by different surfactant...

A complete minimal surface in R is said to be pseudo-algebraic, if its Weierstrass data are defined on a compact Riemann surface finitely many points removed M = M\{P1, . . . , Pn} and extend meromorphically across punctures ([KKM], see also [G]). The punctured Riemann surface M on which the Weierstrass data are defined is called the basic domain. The difference between a complete minimal surfa...