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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Manuscripta mathematica 62 (1988), S. 245-248 
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Nonlinear recursive congruential pseudorandom number generators with prime modulus and maximal period length are considered. Those generators are characterized which behave optimally with respect to Marsaglia's lattice test. An example for an extremely bad generator with this property is given, which demonstrates the weakness of this test.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Manuscripta mathematica 58 (1987), S. 129-140 
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Sequences of integers defined by a quadratic congruential formula are divided into non-overlapping subsequences of length d. The structure of the set of the resulting points in the d-dimensional Euclidean space Rd is studied. The analysis is restricted to the case of sequences with maximal period length since such sequences are of special interest in connection with pseudo random number generation.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Manuscripta mathematica 59 (1987), S. 331-346 
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract On-linear multiple recursive congruential pseudo random number generator with prime modulus p is introduced. Let x, n≥0, be the sequence generated by a usual linear (r+1)-step recursive congruential generator with prime modulus p and denote by N(n), n≥0, the sequence of non-negative integers with xN(n)≢0 (mod p). The non-linear generator is defined by zn≡xN(n)+1·x N(n) −1 (mod p), n≥0, where x N(n) −1 denotes the inverse element of xN(n) in the Galois field GF(p). A condition is given which ensures that the generated sequence is purely periodic with period length pr and all (p−1)r r-tupels (y1,...,yr) with 1≤y1,...,yr≤p are generated once per period when r-tupels of consecutive numbers of the generated sequence are formed. For r=1 this generator coincides with the generator introduced by Eichenauer and Lehn [2].
    Type of Medium: Electronic Resource
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  • 4
    Publication Date: 2013-12-04
    Description: Recycling of P is a common strategy in efficient use of P. The aims of our investigation were to study the P extractability of biochars produced by low temperature conversion and to determine the effect of soda application on low-temperature conversion of organic compounds and the bioavailability of P to rye grass ( Lolium perenne L., cv. Grazer). In this study canola cake, dried distillers grains with solubles, and meat-and-bone meal were converted to biochars with thermo-chemical conversion at 400°C. The P availability was measured in terms of solubility in water, 2% citric, and 2% formic acid, and in a pot experiment with rye grass ( Lolium perenne L.) which was cut three times. Application of 8% (w/w) soda to the process of thermo-chemical conversion of canola cake, dried distillers grains with soluble and meat-and-bone meal resulted in an increase of water-, 2% citric-, and 2% formic-acid-extractable P in the biochars. In contrast to the application of soda, addition of 12% wood ash (w/w) to the conversion of dried distillers grains with solubles resulted in a lower increase of water-soluble P in the corresponding biochar compared to processing biochar without additives. Addition of biochar P (100 mg P [kg soil] –1 ) to a Luvisol resulted in an increase of CAL-extractable soil P. The P uptake of rye grass from biochars produced with the addition of soda was as effective as basic slag and MgNH 4 phosphate fertilizers and even better than rock phosphate.
    Print ISSN: 1436-8730
    Electronic ISSN: 1522-2624
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Published by Wiley
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