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  • Anthonomus grandis  (1)
  • divergence  (1)
  • elliptic operator  (1)
  • 1
    Electronic Resource
    Electronic Resource
    The divergence theorem and the Laplacian in Minkowski space (1996)
    Springer
    Geometriae dedicata 63 (1996), S. 159-170 
    Details
    ISSN: 1572-9168
    Keywords: 52A21 ; Minkowski space ; divergence ; Laplacian ; elliptic operator ; ellipsoid
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00148216
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    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
    Keywords: Boll weevil ; Anthonomus grandis ; Coleoptera ; Curculionidae ; feeding stimulants ; cotton buds ; anthers ; phytol ; geranylgeraniol esters ; phytol oleate ; phytol dodecanoate
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01024111
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    Paper (German National Licenses)
    Fulltext
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