A cellular embedding of a connected graph (also known as a map) on an orientable surface has trinity symmetry if it is isomorphic to both its dual and its Petrie dual. A map is regular if for any two incident vertex-edge pairs there is an automorphism of the map sending the first pair onto the second. Given a map M with all vertices of the same degree d, for any e relatively prime to d the powe...

Let X be a projective manifold, ρ : X̃ → X its universal covering and ρ∗ : V ect(X) → V ect(X̃) the pullback map for isomorphism classes of vector bundles. This article makes the connection between the properties of the pullback map ρ∗ and the properties of the function theory on X̃. Our approach motivates a weakened version of the Shafarevich conjecture: the universal covering X̃ of a projective m...

In winegrapes (Vitis spp.), fruit quality traits such as berry color, total soluble solids content (SS), malic acid content (MA), and yeast assimilable nitrogen (YAN) affect fermentation or wine quality, and are important traits in selecting new hybrid winegrape cultivars. Given the high genetic diversity and heterozygosity of Vitis species and their tendency to exhibit inbreeding depression, l...

We prove an extension of Waldhausen's theorem [5] conjectured by Hempel in [3]. We prove the following extension of Waldhausen's theorem [5]: Theorem 1. Let M, N be P2-irreducible 3-manifolds. Suppose that M is compact, sufficiently large and f: (M, dM) -^ (N, dN) is a continuous map inducing an injection fM: trx(M)^>irx(N). Then, there is a proper homotopy f: (M, 3M) —» (N, dN) such that f0 = ...

In 2006, the Joint Research Centre of the European Commission launched a project to map radon at the European level, as part of a planned European Atlas of Natural Radiation. It started with a map of indoor radon concentrations. As of May 2014, this map includes data from 24 countries, covering a fair part of Europe. Next, a European map of geogenic radon, intended to show 'what earth delivers'...

As a first step to mapping quantitative trait loci for mating system differences, a genetic linkage map was generated from an interspecific backcross between Mimulus guttatus and Mimulus platycalyx. The linkage map consists of 99 RAPD and two isozyme markers. Eighty-one of these markers were mapped to 15 linkage groups, spanning 1437 contiguous centiMorgans, and covering 58% of the estimated ge...

In this paper, we propose a method to estimate the node distribution for pedestrians with information terminals. The method enables us to provide situation-aware services such as intellectual navigation that tells the user the best route to go around congested regions. In the proposed method, each node is supposed to know its location roughly (i.e., within some error range) and to maintain a de...

In a study of the word problem for groups, R. J. Thompson considered a certain group F of self-homeomorphisms of the Cantor set and showed, among other things, that F is nitely presented. Using results of K. that F is the fundamental group of a nite two-complex Z 2 having Euler characteristic one and which is Cockcroft, in the sense that each map of the two-sphere into Z 2 is homologically triv...