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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Monatshefte für Mathematik 111 (1991), S. 1-21 
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Almost all positive integers may be represented as the sum of four cubes of positive square-free integers.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Monatshefte für Mathematik 112 (1991), S. 177-207 
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Letr s (n) denote the number of representations ofn as the sum ofs cubes of square-free numbers. We prove an asymptotic formula forr s (n) and a strong lower bound forr 7 (n).
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Acta biotheoretica 22 (1973), S. 49-77 
    ISSN: 1572-8358
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary Sexual reproduction is a composite, not a singular, phenomenon and as such can be subdivided into a number of componentsi.e. fusion, recombination, fission, and the male-female phenomenon. These components can evolve independently, though any evolutionary change in one component is likely to influence the future evolution of the other components. The ambiguity that surrounds the term ‘sex’ due to a failure to recognise the composite nature of sexual reproduction has led to considerable confusion in past discussions of the evolution of the phenomenon. This paper considers the possible chronological interaction of the components of sexual reproduction both with each other and with the sequence of selective pressures that seem likely to have acted. This chronological approach is used to consider: the origin of sexual reproduction; the evolution of sexual reproduction in the common ancestor of the procaryotes and eucaryotes; the modification of the ancestral system in the procaryote line following the procaryote-eucaryote dichotomy; and the modification of the ancestral system in the eucaryote line up to the origin of the male-female phenomenon. It is suggested that the fusion and recombination of the first living organisms were chronological continuations of the fusion and recombination of complex organic molecules that led up to the origin of life. The evolution of the third major component of sexual reproductioni.e. fission (replication), by definition coincided with the origin of life. Initial selection on the components of sexual reproduction are likely to have been related to the optimum manifestations of size, complexity, diversity, multiplication, and distribution. Resultant early evolutionary trends are likely to have been: selective fusion between more-similar organisms; increase in number of fissions per fusion; and less recombination. The procaryote-eucaryote dichotomy is argued to have evolved in response to the increasing cellular problems of packing and replicating an increasing amount of hereditary material. The evolution of a single circular hereditary organelle in the procaryote line is argued to have led to the loss of total fusion and the specialisation of individuals into either donors or recipients. The donor-recipient phenomenon of procaryotes is directly analogous to the male-female phenomenon of eucaryotes and leads to parallel evolution due to sexual selection in both groups. In the eucaryote line the ancestral mechanism of sexual reproduction is argued to have persisted through, but to have been greatly modified by, the evolution of complex machinery (mitotic/meiotic) for the handling of multiple hereditary organelles at cell division and reduction division. The evolutionary modification of the ancestral system of sexual reproduction is suggested to have led in eucaryotes to the evolution of: the species phenomenon; allelic recombination; and the male-female phenomenon.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Geometriae dedicata 27 (1988), S. 9-14 
    ISSN: 1572-9168
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An affine plane is called flag-transitive if it admits a collineation group which acts transitively on the incident point-line pairs. It has been shown that finite flag-transitive planes are necessarily translation planes, and much work has been devoted to this class of translation planes in recent years. All flag-transitive groups of finite affine planes have been determined, and an infinite family of non-Desarguesian flag-transitive planes has been found. In this paper a method is given for constructing all two-dimensional flag-transitive planes of odd order, subsuming the infinite family mentioned above.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Geometriae dedicata 63 (1996), S. 1-15 
    ISSN: 1572-9168
    Keywords: 51A40 ; 51E15 ; Flag-transitive ; translation plane ; two-dimensional ; enumeration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper shows that the odd order two-dimensional flag-transitive planes constructed by Kantor-Suetake constitute the same family of planes as those constructed by Baker-Ebert. Moreover, for orders satisfying a modest number theoretical assumption this family consists of all possible such planes of that order. In particular, it is shown that the number of isomorphism classes of (non-Desarguesian) two-dimensional flag-transitive affine planes of order q 2 is precisely (q−1)/2 when q is an odd prime and precisely (q−1)/2e when q=p e is an odd prime power with exponent e that is a power of 2. An enumeration is given in other cases that uses the Möbius inversion formula.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Cellular and molecular life sciences 36 (1980), S. 946-947 
    ISSN: 1420-9071
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary Males ofDiprion similis respond to both the (+)-2R,3R,7R and (−)-2S,3S,7S enantiomers of its sex pheromone, erythro-3,7-dimethyl pentadecan-2-yl propionate. A mixture of the 2 enantiomers induces a response similar to that of the individual components.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Cellular and molecular life sciences 38 (1982), S. 232-233 
    ISSN: 1420-9071
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary The volatile constituents of the rectal gland secretion of maleDacus cucurbitae have been shown to contain 2-methoxy-N-3-methylbutyl acetamide together with 2 other amides, 3 pyrazine derivatives and 2-ethoxybenzoic acid. Excised male rectal glands have been demonstrated to elicit strong responses from female melon flies.
    Type of Medium: Electronic Resource
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  • 8
    ISSN: 1420-9071
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary The ortho-isomer of aminoacetophenone was found in females ofCephalcia lariciphila. The pheromone released antennal movement, abdominal flexing and short flights in males, but did not release orientated upwind flight in these activated males.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Cellular and molecular life sciences 38 (1982), S. 297-298 
    ISSN: 1420-9071
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary The defense secretion of soldiers ofReticulitermes lucifugus has been shown to contain, predominantly, (R)-(−)-(E,E)-geranyllinalool together with germacrene A and β-farnesene.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Cellular and molecular life sciences 26 (1970), S. 426-428 
    ISSN: 1420-9071
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Zusammenfassung Die somatischen Chromosomen von 100 Ratten (Wildfänge),Neotoma micropus Baird (Cricetidae), zeigen ein nicht-Robertsonsches polymorphes System mit 2 verschiedenen homologen Chromosomenpaaren. Sie stellen 4 verschiedene Rattenpopulationen mit Polymorphismus dar.
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