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  • Electronic Resource  (3)
  • 1995-1999  (3)
  • Highest corner  (2)
  • 32.90+a  (1)
  • Radioactivity
  • 1
    Electronic Resource
    Electronic Resource
    On an implementation of standard bases and syzygies in SINGULAR (1996)
    Springer
    Applicable algebra in engineering, communication and computing 7 (1996), S. 235-249 
    Details
    ISSN: 1432-0622
    Keywords: Standard bases ; Syzygies ; Computer algebra system ; Highest corner ; EcartMethod
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics , Technology
    Notes: Abstract We describe an implementation of a general standard basis algorithm, valid for any monomial ordering compatible with the natural semigroup structure. We concentrate on new strategies which have proved useful, in particular in the non-wellordering case. Moreover, we describe the first implementation of Schreyer's method to compute syzygies and compare it with other, more classical methods. Comparisons of the computing time of several examples in the system SINGULAR give hints as to which strategies should be used in different classes of examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01190332
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    On an Implementation of Standard Bases and Syzygies in SINGULAR (1996)
    Springer
    Applicable algebra in engineering, communication and computing 7 (1996), S. 235-249 
    Details
    ISSN: 1432-0622
    Keywords: Key words Standard bases ; Syzygies ; Computer algebra system ; Highest corner ; EcartMethod.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics , Technology
    Notes: Abstract  We describe an implementation of a general standard basis algorithm, valid for any monomial ordering compatible with the natural semigroup structure. We concentrate on new strategies which have proved useful, in particular in the non-wellordering case. Moreover, we describe the first implementation of Schreyer’s method to compute syzygies and compare it with other, more classical methods. Comparisons of the computing time of several examples in the system SINGULAR give hints as to which strategies should be used in different classes of examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01190332
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Dark periods in the resonance fluorescence of a single Λ system (1995)
    Springer
    The European physical journal 96 (1995), S. 533-539 
    Details
    ISSN: 1434-6036
    Keywords: 42.50 ; 32.90+a
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We use the quantum jump method to study the photon statistics of a single laser-driven atom in the Λ configuration where both lower levels are strongly coupled to the common upper level. Under certain conditions we show that, for almost degenerate lower levels, light and dark periods occur which are similar to those of the well-known Dehmelt V system. Analytic results for their mean lengths and other statistical properties are given. For large separation of the lower levels we prove an interesting bunching property by the photons in the resonance fluorescence near the dark resonance. We propose a realistic system for which these effects may be observed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01313852
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
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