Abstract A tournament is an orientation of a graph. Each edge match, directed towards the winner. The score sequence lists number wins by each team. In this article, interpreting sequences geometrically, we generalize and extend classical theorems Landau (Bull. Math. Biophys. 15 , 143–148 (1953)) Moon (Pac. J. 13 1343–1345 (1963)), via theory zonotopal tilings.

Electrostatic interactions drive the self-assembly and the transcription activity of the 1 Pseudomonas phage φ6 procapsid 2 3 Xiaoyu Sun, Dennis H. Bamford, Minna M. Poranen 4 5 Department of Biosciences and Institute of Biotechnology, University of Helsinki, Viikki Biocenter, 6 Helsinki, Finland 7 8 Running title: Electrostatic interactions drive phage φ6 assembly 9 10 Abstract word count: 71 ...

Abstract A novel integrative bioinspired surface with annular pattern and 3D wettable gradient (APWG) is proposed for fog collection via a simple needle‐face anodic oxidation strategy. The behaviors are studied on APWG different types. Such can not only improve the droplet capture performance effectively owing to pattern, but also realize convergence surfaces accelerate regeneration rate, leadi...