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  • elliptic operator  (1)
  • phytol  (1)
  • 1
    Digitale Medien
    Digitale Medien
    The divergence theorem and the Laplacian in Minkowski space (1996)
    Springer
    Geometriae dedicata 63 (1996), S. 159-170 
    Details
    ISSN: 1572-9168
    Schlagwort(e): 52A21 ; Minkowski space ; divergence ; Laplacian ; elliptic operator ; ellipsoid
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract Let (X, B) be a Minkowski space (finite-dimensional Banach space) with unit ball B. Using a Minkowski definition of unit normal to a hypersurface, a Minkowski analogue of Euclidean divergence is defined. We show that the divergence theorem holds. Using the Minkowski divergence, a Minkowski Laplacian is defined. We prove that this Laplacian is a second-order, constant-coefficient, elliptic, differential operator. Furthermore, the symbol of this Laplacian is computed and used to associate a natural Euclidean structure with (X, B).
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00148216
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Identification of feeding stimulants for boll weevils from cotton buds and anthers (1985)
    Springer
    Journal of chemical ecology 11 (1985), S. 1229-1238 
    Details
    ISSN: 1573-1561
    Schlagwort(e): Boll weevil ; Anthonomus grandis ; Coleoptera ; Curculionidae ; feeding stimulants ; cotton buds ; anthers ; phytol ; geranylgeraniol esters ; phytol oleate ; phytol dodecanoate
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Biologie , Chemie und Pharmazie
    Notizen: Abstract Column chromatography of the pentane extract of freeze-dried cotton buds or anthers yielded a wax-sterol ester fraction that exhibited potent feeding stimulant activity for the cotton boll weevil. The waxes of the wax-sterol ester mixture were responsible for the feeding activity. Saponification of the wax-sterol ester fraction yielded about 15% alcohols and 85% sterols. A C18∶1 alcohol, dihydrophytol, phytol, and geranylgeraniol constituted 15, 36, 26, and 23%, respectively, of the total alcohols, implicating certain of their long-chain esters as feeding stimulants. Several esters of dihydrophytol, phytol, and geranylgeraniol were identified among the waxes by GC-MS. Certain phytol, geranylgeraniol, and oleyl alcohol esters containing C12 to C26 acid moieties were synthesized and were found to induce high feeding stimulant activity in the cotton boll weevil.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01024111
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