We present an algorithm that computes the diameter of a set of n points in the cylinder in optimal time O(n log n); this algorithm uses as a fundamental tool the farthest point Voronoi diagram.

Perturbation experiments, in which a certain gene is knocked out and the expression levels of other genes are observed, constitute a fundamental step in uncovering the intricate wiring diagrams in the living cell and elucidating the causal roles of genes in signaling and regulation. Here we present a novel framework for analyzing large cohorts of gene knockout experiments and their genome-wide ...

This paper completes the classification of bifurcation diagrams for H-planforms in the Poincaré disc D whose fundamental domain is a regular octagon. An H-planform is a steady solution of a PDE or integro-differential equation in D, which is invariant under the action of a lattice subgroup Γ of U(1, 1), the group of isometries of D. In our case Γ generates a tiling of D with regular octagons. T...

In this contribution the discovery and properties of ultra-compact dwarf galaxies are presented, and their possible origin is discussed. This new type of galaxy resides in the cores of galaxy clusters. In the fundamental plane diagram of stellar systems, the luminosity and kinematical and structural properties of ultra-compact dwarfs locate them inbetween globular clusters and small compact ell...

Suppose you know the locations of post offices or cell phone satellites, and you want to know what regions they serve. Or maybe you know the locations of atoms in a crystal, and you want to know what a fundamental region looks like. There are lots of reasons you might want to make a tiling around a given discrete set of points. A natural way to do it is with “Voronöı tessellations”—so natural, ...

The large number of differences between highand low-redshift radio galaxies have almost all been discovered by looking at the bright 3C sample of radio sources. This has the disadvantage that the strong correlation between radio luminosity and redshift within a single sample makes it impossible to be determine whether these differences are the result of cosmic evolution or whether they are simp...

the purpose of this study was to investigate the effects of body mass index on fundamental motor skills performance in 7-8-year-old boys in hamedan. forthis purpose, 72 elementary students were selected via cluster randomization from the elementary schools of hamedan and divided into three groups: fat, normal, and thin according to percentile diagram. then, tgmd-2 was performed by children and ...

The social force model which belongs to the microscopic pedestrian studies has been considered as the supreme model by many researchers and engineers due to the main feature of its capability in reproducing the self-organization phenomena resulting from pedestrian dynamics. Recently, some principles of this model have been modified by other researchers to overcome a shortcoming that the model c...