Evidence for a Spectroscopic Sequence Among SNe Ia

In this Letter we present evidence for a spectral sequence among Type Ia supernovae (SNe Ia). The sequence is based on the systematic variation of several features seen in the near-maximum light spectrum. This sequence is analogous to the recently noted photometric sequence among SNe Ia which shows a relationship between the peak brightness of a SN Ia and the shape of its light curve. In addition to the observational evidence we present a partial theoretical explanation for the sequence. This has been achieved by producing a series of non-LTE synthetic spectra in which only the effective temperature is varied. The synthetic sequence nicely reproduces most of the differences seen in the observed one and presumably corresponds to the amount of 56Ni produced in the explosion.Comment: To appear in Astrophysical Journal Letters, uuencoded, gzipped postscript file, also available from http://www.nhn.uoknor.edu/~baron

Care Of The Young Coffee Orchard

Revised 11.86(750

Inheritance of seedlessness in seeded x seedless progeny of Vitis vinifera L.

Die Vererbung der Kernlosigkeit auf die Nachkommen der Kreuzungskombination „kernhaltig x kernlos" bei Vitis vinifera L.In 5jährigen Versuchen wurden kernhaltige (Mutter) und kernlose (Vater) Vitis vinifera-Reben gekreuzt und die Verteilung des Merkmals „Kernlosigkeit" bei den Nachkommen analysiert. Die Aufspaltung in kernhaltige und kernlose Sämlinge erfolgte nahezu im Verhältnis 3 : 1. Der x2-Wert für die einzelnen Jahre (1983, 1984, 1985, 1986, 1988) betrug 0,03; 0,11; 1,17; 1,97 und 3,01. Die Homogenität für x2 lag nur 1986 innerhalb der tolerierbaren Grenzen (0,3-0,5). Die meisten Populationen hatten in allen Jahren x2-Werte, die dem 3: 1-Verhältnis entsprachen. Zwei Independenz-Tests für aufeinanderfolgende Jahre ergaben keine Interaktionen. Auf der Grundlage dieser Ergebnisse wird postuliert, daß die Vererbung der Kernlosigkeit durch zwei komplementäre rezessive Gene bestimmt wird. Nur bei 30,7 % der als ,,kernlos" klassifizierten Kreuzungsnachkommen konnten die Kernreste organoleptisch nicht wahrgenommen werden

On Silicon Carbide Grains as the Carrier of the 21 Micron Emission Feature in Post-Asymptotic Giant Branch Stars

The mysterious 21mu emission feature seen in 12 proto-planetary nebulae (PPNe) remains unidentified since its first detection in 1989. Over a dozen of candidate materials have been proposed within the past decade, but none of them has received general acceptance. Very recently, silicon carbide (SiC) grains with impurities were suggested to be the carrier of this enigmatic feature, based on recent laboratory data that doped SiC grains exhibit a resonance at \~21mu. This proposal gains strength from the fact that SiC is a common dust species in carbon-rich circumstellar envelopes. However, SiC dust has a strong vibrational band at ~11.3mu. We show in this Letter that in order to be consistent with the observed flux ratios of the 11.3mu feature to the 21mu feature, the band strength of the 21mu resonance has to be very strong, too strong to be consistent with current laboratory measurements. But this does not yet readily rule out the SiC hypothesis since recent experimental results have demonstrated that the 21mu resonance of doped SiC becomes stronger as the C impurity increases. Further laboratory measurements of SiC dust with high fractions of C impurity are urgently needed to test the hypothesis of SiC as the carrier of the 21mu feature.Comment: 14 pages, 3 figures, accepted for publication in ApJ

Softening of Cu-O bond stretching phonon in tetragonal HgBa2_2CuO4+δ_{4+\delta}

Phonons in nearly optimally doped HgBa$_2$CuO$_{4+\delta}$ were studied by inelastic X-ray scattering. The dispersion of the low energy modes is well described by a shell model, while the Cu-O bond stretching mode at high energy shows strong softening towards the zone boundary, which deviates strongly from the model. This seems to be common in the hole-doped high-$T_\mathrm{c}$ superconducting cuprates, and, based on this work, not related to a lattice distortion specific to each material.Comment: 5 pages, 4 figures, accepted for publication in Phys. Rev. Let

Beyond Worst-Case Analysis for Joins with Minesweeper

We describe a new algorithm, Minesweeper, that is able to satisfy stronger runtime guarantees than previous join algorithms (colloquially, `beyond worst-case guarantees') for data in indexed search trees. Our first contribution is developing a framework to measure this stronger notion of complexity, which we call {\it certificate complexity}, that extends notions of Barbay et al. and Demaine et al.; a certificate is a set of propositional formulae that certifies that the output is correct. This notion captures a natural class of join algorithms. In addition, the certificate allows us to define a strictly stronger notion of runtime complexity than traditional worst-case guarantees. Our second contribution is to develop a dichotomy theorem for the certificate-based notion of complexity. Roughly, we show that Minesweeper evaluates $\beta$-acyclic queries in time linear in the certificate plus the output size, while for any $\beta$-cyclic query there is some instance that takes superlinear time in the certificate (and for which the output is no larger than the certificate size). We also extend our certificate-complexity analysis to queries with bounded treewidth and the triangle query.Comment: [This is the full version of our PODS'2014 paper.