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  • 1985-1989  (3)
Document type
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Years
Year
  • 1
    Electronic Resource
    Electronic Resource
    New higher-dimensional instanton and monopole solutions (1989)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 1861-1865 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Two classes of spherically symmetric solutions to the empty space Einstein equations in even dimensions are presented. The solutions are constructed as radial extensions of circle bundles over a compact homogeneous Kähler manifold M. Type B solutions can be turned into higher-dimensional Kaluza–Klein monopoles. Both the Gross–Perry–Sorkin solution and the Bais–Batenburg solutions are contained as special cases of the general solutions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528272
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Operation analysis of natural resources and their pan-weighted network models (1988)
    Springer
    Applied mathematics and mechanics 9 (1988), S. 813-817 
    Details
    ISSN: 1573-2754
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, we propose a competition-share 3-category principle, on which we unite the problems of natural resources, energy, population and environment and so on into a mutual scheme, and provide a united model for the comprehensive research on these problems. This makes the idea of operation analysis of natural resources clearer and the relationships between each of their parts more obvious. On the basis of the above discussion, we propose mathematical models for the operation analysis of multi-networks and the solution of the above global comprehensive problems. We discuss, especially, Shengke (growth and restraint) relationships between two networks of natural resources and share-competitors and their analysis models, providing mathematical tools for solving the problems of the resource-population and the resource-economy, etc.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02465405
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Graft copolymers having hydrophobic backbone and hydrophilic branches. III.For the first and second article of the series see References 15 and 16, respectively. Synthesis of graft copolymers having oligovinylpyrrolidone as hydrophilic branch (1988)
    Bognor Regis [u.a.] : Wiley-Blackwell
    Journal of Polymer Science Part A: Polymer Chemistry 26 (1988), S. 1561-1571 
    Details
    ISSN: 0887-624X
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Graft copolymers were synthesized by the esterification reaction between acrylic copolymers and carboxyl group terminated vinylpyrrolidone oligomer using phase transfer catalysts. Acrylic copolymers were obtained by the radical copolymerization of β-bromoethyl methacrylate, chloromethylstyrene or glycidyl methacrylate with methyl methacrylate. Hydrophilic oligomers were prepared by the radical oligomerization of vinylpyrrolidone using β-mercaptopropionic acid as chain transfer agent. The degree of esterification increased with decreasing the molecular weight of oligomer and with increasing the number of potential grafting sites on polymer backbones. The water dispersibility of graft copolymers increased with increasing the nitrogen content and was therefore dependent on the branch oligomer content.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pola.1988.080260607
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    Paper (German National Licenses)
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