We construct an infinite sequence of pseudo-Anosov homeomorphisms without fixed points and leaving invariant a sequence of orientable measured foliations on the same topological surface and the same stratum of the space of Abelian differentials. The existence of such a sequence shows that all pseudo-Anosov homeomorphisms fixing orientable measured foliations cannot be obtained by the Rauzy-Veec...

An ultra-wide band band-pass filter using novel spiral stub-loaded triple-mode resonator (SSLTMR) is presented. New spiral stub loaded resonator is analyzed with odd and even modes analysis for this class of BPF, achieving higher band wide and size reduction. In order to have a good response characterized, two (SSL-TMRs) and two quarter wavelength digital coupled lines are used. This new design...

If φ and ψ are two continuous real-valued functions defined on a compact topological space X and G is a subgroup of the group of all homeomorphisms of X onto itself, the natural pseudo-distance dG(φ,ψ) is defined as the infimum of L(g) = ‖φ−ψ ◦ g‖∞, as g varies in G. In this paper, we make a first step towards extending the study of this concept to the case of Lie groups, by assuming X = G = S....

How to construct a digitization of a straight line and be able to recognize a straight line in a set of pixels are very important topics in computer graphics. The aim of the present paper is to give a mathematically exact and consistent description of digital straight lines according to Rosenfeld’s definition. The digitizations of the lines with slopes 0 < a < 1, where a is irrational, are cons...

By introducing of digital techniques, forensic document examiners has been encouraged to work with better accuracy in non-destructive ways. The aim of this study was to present a non-destructive, accessible, economic (affordable), user friendly, portable, useful and easy technique for specifying the order of crossing lines of ink stroke and printed text. The intersections of LaserJet and In...