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  • Articles: DFG German National Licenses  (2)
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  • 2002  (2)
  • PACS. 01.80.+b Physics of sports – 02.50.-r Probability theory, stochastic processes, and statistics  (1)
  • PACS. 02.20.Tw Infinite-dimensional Lie groups – 02.30.Jr Partial differential equations – 04.20.Jb Exact solutions – 03.65.Fd Algebraic methods  (1)
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  • Articles: DFG German National Licenses  (2)
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  • 2010-2014
  • 2000-2004  (2)
  • 1985-1989
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  • 2002  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 30 (2002), S. 411-415 
    ISSN: 1434-6036
    Keywords: PACS. 01.80.+b Physics of sports – 02.50.-r Probability theory, stochastic processes, and statistics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: In a recent paper, Mizera and Horváth computed the effects of environmental factors on shot put and hammer throw ranges [J. Biomech. 35, (2002) 785-796]. They found that the geographic location (latitude and altitude) influences throwing distances as strongly as meteorological conditions (wind and air density). Considering the small differences in record-breaking results, they proposed that normalization to a reference stadium should be introduced. Here we attempt to detect possible correlations between geographic location and throwing ranges by using all-time best result lists. Unfortunately the separation of the effects of different environmental factors is not possible, simply because they are not documented. Our tests failed to find the expected correlation. We conclude that the variance of human factors seems to dominate, thus any correction of measured results is probably unnecessary.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 29 (2002), S. 203-206 
    ISSN: 1434-6036
    Keywords: PACS. 02.20.Tw Infinite-dimensional Lie groups – 02.30.Jr Partial differential equations – 04.20.Jb Exact solutions – 03.65.Fd Algebraic methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Using the heavenly equation as an example, we propose the method of group foliation as a tool for obtaining non-invariant solutions of PDEs with infinite-dimensional symmetry groups. The method involves the study of compatibility of the given equations with a differential constraint, which is automorphic under a specific symmetry subgroup and therefore selects exactly one orbit of solutions. By studying the integrability conditions of this automorphic system, i.e. the resolving equations, one can provide an explicit foliation of the entire solution manifold into separate orbits. The new important feature of the method is the extensive use of the operators of invariant differentiation for the derivation of the resolving equations and for obtaining their particular solutions. Applying this method we obtain exact analytical solutions of the heavenly equation, non-invariant under any subgroup of the symmetry group of the equation.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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