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  • 1975-1979  (3)
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Year
  • 1
    Electronic Resource
    Electronic Resource
    The number of steps in a finite JACOBI algorithm (1975)
    Springer
    Manuscripta mathematica 17 (1975), S. 291-308 
    Details
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let x=(x1,...,xn) be a rational point and denote by L(x) the length of thefinite JACOBI algorithm associated with x. Let b(x) be the minimal common denominator of x. Then L(x)=const, log b(x) is true in a certain sense for almost all x.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01170314
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Über die optimale Beleuchtung einer geraden Straße (1975)
    Springer
    Monatshefte für Mathematik 79 (1975), S. 191-199 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The following problem is due toL. Fejes Tóth: For a given sort of lamps letf(x) be the intensity of brightness in each point having distancex from the foot of the lamp. How must infinitely many lamps of this kind be arranged on a both-side infinite rectilinear road, such that the infimum of the intensities of brightness, extended over the whole street, is maximal, subject to the condition that the average number of lamps per kilometer is bounded by a fixed number (“Best distributions”)? The main result of this paper is: Iff is strictly convex, the equidistant distribution is best.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01304072
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  • 3
    Electronic Resource
    Electronic Resource
    Sofic systems and graphs (1975)
    Springer
    Monatshefte für Mathematik 80 (1975), S. 179-186 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A subclass of the class of the subshifts of finite-state symbolic shifts, which was introduced byB. Weiss under the name “sofic systems”, is characterized and studied by using graphs. It is proved that topologically transitive sofic systems are intrinsically ergodic.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01319913
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