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set 1 is an extremely addictive, fast-paced card game found in toy stores nationwide. Although children often beat adults, the game has a rich mathematical structure linking it to the combinatorics of finite affine and projective spaces and the theory of error-correcting codes. Last year an unexpected connection to Fourier analysis was used to settle a… (More)
Several known constructions of phase spaces are merged into the framework of Poisson fiber bundles and coupling Dirac structures. Functorial properties of our construction are discussed and examples are provided. Finally, applications to fibered symplectic groupoids are given.
The optical and photophysical properties of phenylacetylene dendritic macromolecules based on unsymmetrical branching are investigated using steady-state and time-dependent spectroscopy. Monodendrons, up to the fourth generation, are characterized with and without a fluorescent perylene trap at the core. The higher generation monodendrons without the… (More)
Potassium(I) amidotrihydroborate (KNH(2)BH(3)) is a newly developed potential hydrogen storage material representing a completely different structural motif within the alkali metal amidotrihydroborate group. Evolution of 6.5 wt % hydrogen starting at temperatures as low as 80 degrees C is observed and shows a significant change in the hydrogen release… (More)
We give an intrinsic proof that Vorobjev's first approximation of a Poisson manifold near a symplectic leaf is a Poisson manifold. We also show that Conn's linearization results cannot be extended in Vorob-jev's setting.
We give lower bounds on the Poisson embedding dimension of a singular quotient of a symplectic manifold by doing a local calculation in formal power series. In particular, we show that the Poisson embedding dimension of the weight-(1,1,2) resonance space is at least 13. 1991 MSC: 17B63, 53D.
The use of benzenedithiol as a digestant for ammonia-borane spent fuel has been shown to result in tin thiolate compounds which we demonstrate can be recycled, yielding Bu(3)SnH and ortho-benzenedithiol for reintroduction to the ammonia-borane regeneration scheme.