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  • 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
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Absolute pionic x-ray intensities in Mg and Fe (1991)
    Springer
    The European physical journal 341 (1991), S. 101-105 
    Details
    ISSN: 1434-601X
    Keywords: 36.10.Gv
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Absolute pionic x-ray intensities have been measured for Mg and Fe. The accuracy achieved was 2% of the line intensity for the most prominent transitions. In the Balmer series of Mg and the Paschen series of Fe the crossover transitions were found to be even more attenuated than the transitions between circular states, as deduced, for example, by comparison with muonic atoms; no crossover transitions were observed in the Fe Balmer series. According to cascade calculations based on the experimental intensities more than half of the pions are absorbed in Fe already from levels with principal quantum numbern〉17 by strong interaction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01281280
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Measurement of the stopping power of Au and MgF2 for slow muons (1993)
    Springer
    The European physical journal 346 (1993), S. 81-84 
    Details
    ISSN: 1434-601X
    Keywords: 36.10.Gv
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The spectral flux densityn(T) of μ− emerging from a Au or MgF2 moderator has been measured at low energiesT using time-of-flight. Fromn(T) the stopping powerS(T) of Au was determined for 2 keV≤T≤22 keV, and of MgF2 for 2 keV≤T≤12 keV. For Au,S(T) is smaller than calculated values obtained from proton atomic data practically in the wholeT range (Barkas effect); at lowT S(T) approaches the calculated values. For MgF2,S(T) agrees fairly with the calculated values above 5 keV and then drops below these values. We ascribe this dropping to the large energy gap of the MgF2 insulator.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01290784
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    Paper (German National Licenses)
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