Diamonds in the air

Increasing Diamonds

A class of diamond-shaped combinatorial structures is studied whose enumerating generating functions satisfy differential equations of the form f2 “ Gpfq, for some function G. In addition to their own interests and being natural extensions of increasing trees, the study of such DAG-structures was motivated by modelling executions of seriesparallel concurrent processes; they may also be used in ...

The search for diamonds

Saharon Shelah. Middle Diamond. Archive for Mathematical Logic, vol. 44 (2005), pp. 527–560. Saharon Shelah. Diamonds. Proceedings of the American Mathematical Society, vol. 138 no. 6 (2010), pp. 2151–2161. Martin Zeman. Diamond, GCH and Weak Square. Proceedings of the American Mathematical Society, vol. 138 no. 5 (2010), pp. 1853–1859. The Continuum Hypothesis (CH) implies, and is in fact equi...

Rendering Diamonds

Fascinating colors of diamonds are generated by a combination of mechanisms including Fresnel reflection, volume absorption and light dispersion. This paper proposes an approach to unify these mechanisms to synthesize realistic computer images of diamonds. Our work is based on a composite spectral model that accounts separately for smooth components and spikes in spectra. While sufficiently han...

Lucy in the sky with diamonds.

Leucine in the sky with diamonds.

cluster dileucine motif to the VHS domain in an extended New structures of LD motifs bound to the focal adheconformation, highlighting the structural diversity of sion targeting domain show that the motifs are recogAspand Leu-containing signaling motifs. nized as amphipathic helices. The structures highAs with most other pairings between domains and light the structural and functional diversity...