Complete Sudoku - extra rules for more symmetry

We propose some extra rules to add to the well-known Sudoku puzzle and present an argument to justify their inclusion. The rules mean that puzzles can be created with fewer cells completed initially yet which still have only one solution. We have created a Web-based program which can be used to generate and solve both standard and extended (Complete) puzzles.

An ingress and a complete transit of HD80606 b

We have used four telescopes at different longitudes to obtain near-continuous light-curve coverage of the star HD80606 as it was transited by its ~4-MJup planet. The observations were performed during the predicted transit windows around 2008 October 25 and 2009 February 14. Our data set is unique in that it simultaneously constrains the duration of the transit and the planet's period. Our Markov Chain Monte Carlo analysis of the light curves, combined with constraints from radial-velocity data, yields system parameters consistent with previously reported values. We find a planet-to-star radius ratio marginally smaller than previously reported, corresponding to a planet radius of Rp = 0.921 +/- 0.036RJup.

Complete nonlinear theory of longitudinal-to-transverse dust lattice mode coupling in a single-layer dusty plasma crystal

A comprehensive nonlinear model is put forward for coupled longitudinal to transverse displacements in a horizontal dust mono-layer, levitated under the combined influence of gravity and an electric and/or magnetic sheath field. A set of coupled nonlinear evolution equations are obtained in a discrete description, and a pair of coupled (Boussinesq-like) PDEs are obtained in the continuum approximation. Finally, the amplitude modulation of the coupled modes is discussed, pointing out the importance of the coupling. All these results are generic, i.e. valid for any assumed form of the inter-grain interaction potential U and the sheath potential Phi.

Complete Genome Sequence of Propionibacterium acnes Type IB Strain 6609

Propionibacterium acnes is an anaerobic Gram-positive bacterium that forms part of the normal human cutaneous microbiota and is thought to play a central role in acne vulgaris, a chronic inflammatory disease of the pilosebaceous unit (I. Kurokawa et al., Exp. Dermatol. 18:821-832, 2009). Here we present the whole genome sequence of P. acnes type IB strain 6609, which was recovered from a skin sample from a woman with no recorded acne history and is thus considered a nonpathogenic strain (I. Nagy, Microbes Infect. 8:2195-2205, 2006).

Epistolarum Familiarium Liber Unus in The Complete Works of John Milton: Volume XI (672pp.)

This edition of Milton’s Epistolarum Familiarium Liber Unus and of his Uncollected Letters, will appear as 672 pp. of The Complete Works of John Milton Volume XI, eds. Gordon Campbell and Edward Jones (Oxford University Press, forthcoming 2016). A diplomatic Latin text and a new facing English translation are complemented by a detailed Introduction and commentary that situate Milton’s Latin letters in relation to the classical, pedagogical and essentially humanist contexts at the heart of their composition. Now the art of epistolography advocated and exemplified by Cicero and Quintilian and embraced by Renaissance pedagogical manuals is read through a humanist filter whereby, via the precedent (and very title) of Epistolae Familiares, the Miltonic Liber is shown to engage with a neo-Latin re-invention of the classical epistola that had come to birth in quattrocento Italy in the letters of Petrarch and his contemporaries. At the same time the Epistolae are seen as offering fresh insight into Milton’s views on education, philology, his relations with Italian literati, his blindness, the poetic dimension of his Latin prose, and especially his verbal ingenuity as the ‘words’ of Latin ‘Letters’ become a self-conscious showcasing of etymological punning on the ‘letters’ of Latin ‘words’. The edition also announces several new discoveries, most notably its uncovering and collation of a manuscript of Henry Oldenburg’s transcription (in his Liber Epistolaris held in Royal Society, London) of Milton’s Ep. Fam. 25 (to Richard Jones). Oldenburg’s transcription (from the original sent to his pupil Jones) is an important find, given the loss of all but two of the manuscripts of Milton’s original Latin letters included in the 1674 volume. The edition also presents new evidence in regard to Milton’s relationships with the Italian philologist Benedetto Buonmattei, the Greek humanist Leonard Philaras, the radical pastor Jean Labadie (and the French church of London), and the elusive Peter Heimbach.

SN 2005cs in M51-II. Complete evolution in the optical and the near-infrared

We present the results of the one-year long observational campaign of the type 11 plateau SN 2005cs, which exploded in the nearby spiral galaxy M51 (the Whirlpool galaxy). This extensive data set makes SN 2005cs the best observed low-luminosity, Ni-56-poor type II plateau event so far and one of the best core-collapse supernovae ever. The optical and near-infrared spectra show narrow P-Cygni lines characteristic of this SN family, which are indicative of a very low expansion velocity (about 1000 km s(-1)) of the ejected material. The optical light curves cover both the plateau phase and the late-time radioactive tail, until about 380 d after core-collapse. Numerous unfiltered observations obtained by amateur astronomers give us the rare opportunity to monitor the fast rise to maximum light, lasting about 2 cl. In addition to optical observations, we also present near-infrared light curves that (together with already published ultraviolet observations) allow us to construct for the first time a reliable bolometric light Curve for an object of this class. Finally. comparing the observed data withthose derived front it semi-analytic model, we infer for SN 2005cs a Ni-56 mass of about 3 x 10(-3) M-circle dot a total ejected mass of 8-13 M-circle dot and an explosion energy of about 3 x 10(50) erg.