An Extremely Carbon-rich, Extremely Metal-poor Star in the Segue 1 System

We report the analysis of high-resolution, high-S/N spectra of an extremely metal-poor, extremely C-rich red giant, Seg 1-7, in the Segue 1 system - described in the literature alternatively as an unusually extended globular cluster or an ultra-faint dwarf galaxy. The radial velocity of Seg 1-7 coincides precisely with the systemic velocity of Segue 1, and its chemical abundance signature of [Fe/H] = -3.52, [C/Fe] = +2.3, [N/Fe] = +0.8, [Na/Fe] = +0.53, [Mg/Fe] = +0.94, [Al/Fe] = +0.23 and [Ba/Fe] < -1.0 is similar to that of the rare and enigmatic class of Galactic halo objects designated CEMP-no (Carbon-rich, Extremely Metal-Poor and with no enhancement (over solar ratios) of heavy neutron-capture elements). This is the first star in a Milky Way ``satellite'' that unambiguously lies on the metal-poor, C-rich branch of the Aoki et al. (2007) bimodal distribution defined by field halo stars in the ([C/Fe], [Fe/H])-plane. Available data permit us only to identify Seg 1-7 as a member of an ultra-faint dwarf galaxy or as debris from the Sgr dwarf spheroidal galaxy. In either case, this demonstrates that at extremely low abundance, [Fe/H ] < -3.0, star formation and associated chemical evolution proceeded similarly in the progenitors of both the field halo and satellite systems. By extension, this is consistent with other recent suggestions the most metal-poor dwarf spheroidal and ultra-faint dwarf satellites were the building blocks of the Milky Way's outer halo.Comment: 18 pages, 2 figures, submitted to Astrophysical Journal Letter

A Frame Bundle Generalization of Multisymplectic Momentum Mappings

This paper presents generalized momentum mappings for covariant Hamiltonian field theories. The new momentum mappings arise from a generalization of symplectic geometry to $L_VY$, the bundle of vertically adapted linear frames over the bundle of field configurations $Y$. Specifically, the generalized field momentum observables are vector-valued momentum mappings on the vertically adapted frame bundle generated from automorphisms of $Y$. The generalized symplectic geometry on $L_VY$ is a covering theory for multisymplectic geometry on the multiphase space $Z$, and it follows that the field momentum observables on $Z$ are generalized by those on $L_VY$. Furthermore, momentum observables on $L_VY$ produce conserved quantities along flows in $L_VY$. For translational and orthogonal symmetries of fields and reparametrization symmetry in mechanics, momentum is conserved, and for angular momentum in time-evolution mechanics we produce a version of the parallel axis theorem of rotational dynamics, and in special relativity, we produce the transformation of angular momentum under boosts.Comment: 23 page

Application of electrospray mass spectrometry to the analysis of lipids : a thesis presented in partial fulfilment of the requirements for the degree of Master of Philosophy in Food Technology at Massey University

This work investigated the application of electrospray mass spectrometry (MS) to the elucidation of lipid structure, especially related to milkfat. This was the first time that the instrument in our laboratory had been used for this purpose. Standard samples of triacylglycerols (TAGs) were prepared in 1,2 dichloroethane: acetonitrile:formic acid (63:35:2) at approximately 0.005 mg/mL and were then used to optimise and quantify the ion signal (response) generated by the Perkin Elmer Sciex API300 electrospray mass spectrometer. Both MS and tandem MS experiments were performed. In the spectra, the TAG molecule was seen as an ammonium ion adduct (M+NH4)+. It was found that the relative responses of diacylglycerol (DAG) ions, formed during front end fragmentation of the (M+NH4)+ ion, depended on the position of the 'lost' fatty acid on the glycerol backbone and its carbon number, with the former rather than the latter being the more critical. This information enabled the fatty acid esterified to the sn2 carbon of the glycerol backbone to be identified, and also demonstrated that it was possible to identify each of the fatty acids in a TAG molecule accurately by molecular and DAG ion identification. MS/MS experiments were performed on DAG ions, rather than parent ions, to identify and measure the response of acylium ions generated during collision-assisted dissociation (CAD). In contrast to the response of the DAG ions above, it was found that the response of these acylium ions was dependent on their carbon number and degree of saturation rather than the position that the fatty acid had held on the glycerol backbone. Optimal voltage settings for analysis of TAGs by infusion MS were obtained, which gave good quality spectra and ample amounts of molecular and DAG ions. With this information, a novel liquid chromatography-mass spectrometry (LC-MS) method, which was able to characterise the TAGs in a number of complex lipid samples, was developed. The method was used to elucidate differences in the TAG structure of different bovine milkfats and also differences in fat from milk of various mammalian species

Measure solutions for the Smoluchowski coagulation-diffusion equation

A notion of measure solution is formulated for a coagulation-diffusion equation, which is the natural counterpart of Smoluchowski's coagulation equation in a spatially inhomogeneous setting. Some general properties of such solutions are established. Sufficient conditions are identified on the diffusivity, coagulation rates and initial data for existence, uniqueness and mass conservation of solutions. These conditions impose no form of monotonicity on the coagulation kernel, which may depend on complex characteristics of the particles. They also allow singular behaviour in both diffusivity and coagulation rates for small particles. The general results apply to the Einstein-Smoluchowski model for colloidal particles suspended in a fluid

Why the Cameron-Clegg coalition will be a shock to both Tory and Liberal Democrat voters

There has been intensive speculation about how Conservative and Liberal Democrat voters will react to the coalition government cemented in their name. Pippa Norris of Harvard University has the first stunning data, showing that in 2010 Tories predominantly put the far right parties as their second preference, and Liberal Democrat voters predominantly wanted Labour as their second choice