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  • 1990-1994  (4)
  • 47A57  (2)
  • Chemistry  (2)
  • Nuclear reactions
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Integral equations and operator theory 20 (1994), S. 1-43 
    ISSN: 1420-8989
    Keywords: Primary 30E05 ; 47A57 ; Secondary 93B36
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper introduces and presents the solution of the time-varying analogue of the two-sided Nudelman interpolation problem. As a first step the related Lagrange-Sylvester interpolation problem is solved.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Integral equations and operator theory 20 (1994), S. 249-305 
    ISSN: 1420-8989
    Keywords: 47A56 ; 47A57 ; 15A54
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In many problems the local zero-pole structure (i.e. locations of zeros and poles together with their orders) of a scalar rational functionw is a key piece of structure. Knowledge of the order of the pole or zero of the rational functionw at the point λ is equivalent to knowledge of the $$\mathcal{R}(\lambda )$$ -module $$w\mathcal{R}(\lambda )$$ (where $$\mathcal{R}(\lambda )$$ is the space of rational functions analytic at λ). For the more intricate case of a rationalp×m matrix functionW, we consider the structure of the module $$W\mathcal{R}^{m \times 1} (\lambda )$$ as the appropriate analogue of zero-pole structure (location of zeros and poles together with directional information), where $$\mathcal{R}^{m \times 1} (\lambda )$$ is the set of column vectors of heightm with entries equal to rational functions which are analytic at λ. Modules of the form $$W\mathcal{R}^{m \times 1} (\lambda )$$ in turn can be explicitly parametrized in terms of a collection of matrices (C λ,A λ,B λ,B λ,Γ λ) together with a certain row-reduced(p−m)×m matrix polynomialP(z) (which is independent of λ) which satisfy certain normalization and consistency conditions. We therefore define the collection (C λ,A λ,Z λ,B λ,Γ λ,P(z)) to be the local spectral data set of the rational matrix functionW at λ. We discuss the direct problem of how to compute the local spectral data explicitly from a realizationW(z)=D+C(z−A) −1 B forW and solve the inverse problem of classifying which collections λ→(C λ,A λ,Z λ,B λ,Γ λ,P(z)) satisfying the local consistency and normalization conditions arise as the local spectral data sets of some rational matrix functionW. Earlier work in the literature handles the case whereW is square with nonzero determinant.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 0142-2421
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Physics
    Notes: ac-Phosphoric acid anodizing of aluminium results in the initial formation of a featureless barrier film on the metal surface, followed by nucleation and growth of a filament structure. The rate of filament growth and filament diameter are dependent upon the anodizing temperature. Static secondary ion mass spectrometry (SSIMS) and XPS indicate that organic contamination levels on all anodized surfaces are low regardless of anodizing temperature and that contaminant levels tend to decrease as anodizing proceeds. Apart from the very intense Al+ in the positive ion spectra and the O- and OH- peaks in the negative ion spectra, SSIMS spectra were characterized by the appearance of a series of peaks from AlxOyHz fragments. Appearance of AlO+ or AlOH+ clusters in the positive ion spectra depended on the anodizing conditions. Both XPS and SSIMS confirm the presence of phosphates on the anodized surfaces but differences in results from the two types of analyses imply that unknown factors affect the concentration present.Low contaminant levels, corrosion inhibition from surface phosphates and the filamented topography developed will all affect the adhesive properties of the surface.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Chemical Kinetics 22 (1990), S. 1257-1269 
    ISSN: 0538-8066
    Keywords: Chemistry ; Physical Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The mechanisms for the Cl-initiated and OH-initiated atmospheric oxidation of t-butyl alcohol (TBA), methyl t-butyl ether (MTBE), and dimethyl ether (DME) have been determined. For TBA the only products observed are equimolar amounts of H2CO and acetone, and its atmospheric oxidation can be represented by (7), The mechanism for the atmospheric oxidation of DME is also straight forward, with the only observable product being methyl formate, The mechanism for the atmospheric oxidation of MTBE is more complex, with observable products being t-butyl formate (TBF) and H2CO. Evidence is presented also for the formation of 2-methoxy-2-methyl propanal (MMP), which is highly reactive and presumably oxidized to products. The atmospheric oxidation of MTBE can be represented by (9) and (10), In terms of atmospheric reactivity, DME, TBA, and MTBE all compare favorably with methanol. In terms of rate of reaction in the atmosphere, DME, MTBE, and TBA are 1.4, 0.40, and 0.28 times as reactive as CH3OH towards OH on a per carbon basis. With regard tochemistry, atmospheric oxidation of CH3OH yields highly reactive H2CO as the sole carbon-containing product. In contrast, only 25% of the carbon in TBA is converted to H2CO, with the balance yielding unreactive acetone. For DME, all the carbon is converted to methyl formate which is unreactive. Finally, for MTBE, 60% is converted to unreactive TBF while the remaining 40% produces highly reactive MMP.Final assessment of the impact of these materials on the atmospheric reactivity of vehicle emissions requires the determination of their emissions rates under realistic operating conditions.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
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