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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Manuscripta mathematica 10 (1973), S. 117-127 
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let X be a connected compact complex manifold. We call X a homogeneous manifold if there exists a complex Liegroup G of biholomorphic automorphisms of X such that for any two points p, q∈X there is a g∈G with: g(p)=q. We give some non-trivial examples of homogeneous manifolds. All examples are non-kaehlerian manifolds. Such examples have been given first by Iwasawa (as far as we know). The last section of this note contains a proposition, which shows that only very special non-semisimple Liegroups are able to act transitivily in the sense stated above, on a compact complex manifold. This is remarkable also in contrast to the semisimple case (cf. [3]).
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Mathematische Annalen 201 (1973), S. 97-112 
    ISSN: 1432-1807
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Cambridge : Cambridge University Press
    Science in context 4 (1991), S. 223-232 
    ISSN: 0269-8897
    Source: Cambridge Journals Digital Archives
    Topics: History , Natural Sciences in General
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Cambridge : Cambridge University Press
    Science in context 4 (1991), S. 233-264 
    ISSN: 0269-8897
    Source: Cambridge Journals Digital Archives
    Topics: History , Natural Sciences in General
    Notes: The ArgumentIn writing the history of science, the fluctuations between two meanings of the concept of style are of special interest: a simple or direct meaning of this concept referring to a means of expression and of presentation, and a philosophical interpretation of this term referring to “a world of objective spiritual order.” The last two chapters of this paper consider the perspective of the simple meaning of the concept, the first two chapters take the philosophical meaning as their starting point.The concept of style in its general epistemological meaning emerges within a conceptual space that becomes effective as a totality at the end of the eighteenth century and which is built up of further notions such as: individual, genius, expression, symbol, education, creativity, and others.The individual and, as believed, the nevertheless infinitely creative subject has taken the place that the concept of god had occupied within rationalism. But it is not only the subject as construction and will, but also the subject who reflected in a new way about the objective foundations of his conscience and tried to bring the object and the means of knowledge into a new relation.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Skeletal radiology 26 (1997), S. 279-283 
    ISSN: 1432-2161
    Keywords: Key words Pelvic fractures ; Insufficiency fractures ; Stress fractures ; MR imaging
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract  Objective. Diagnosis of insufficiency fractures in the pelvis is difficult, especially in patients with prior malignancy, irradiation, steroid therapy or osteoporosis. This report shows the MR imaging appearance of supra-acetabular insufficiency fractures and how they can be differentiated from metastatic disease. Design and patients. Twelve patients (four men, eight women, average age 72.8 years) at risk for pelvic insufficiency fractures and who had pelvic or hip pain were studied with MR imaging. Indications were possible recurrent tumor or previous radiation to the pelvis (7 patients); osteoporosis from steroid use in rheumatoid arthritis (two patients); to exclude osteonecrosis of the hip (two patients); or to rule out a hip fracture (one patient). Results. A characteristic linear region of low signal intensity on both T1- and T2-weighted sequences was found in the supra-acetabular region paralleling the superior acetabulum in a curvilinear arc in 92% (11/12) of cases, and oblique in origin in 8% (1/11). Diffuse bands of high signal on T2-weighted images indicated surrounding edema. In two cases, MR findings obviated biopsy. One patient underwent a biopsy prior to the imaging studies being reviewed. All patients were treated conservatively and did well. Discussion. Attention to insufficiency fractures has previously focused on characteristic locations in the sacrum and pubic bones. Supra-acetabular insufficiency fractures also occur and are difficult to diagnose without a high degree of suspicion. MR imaging is a useful tool for diagnosing supra-acetabular insufficiency fractures. The characteristic MR imag-ing appearance of these fractures can preclude additional diagnostic studies and therapy in most instances.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Educational studies in mathematics 26 (1994), S. 299-321 
    ISSN: 1573-0816
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Every proof is faced with the requirement of proving that the proof is correct, and the proof of the correctness of the proof again meets the same requirement and the proof of the correctness of the correctness of the proof also, etc. In order to escape from an infinite regress into which one is led one has to come down with a purely algorithmic criterion for correctness or to claim that thinking is identical with its subject matter. Whence the preference of number and more generally of conceptualism in pure mathematics. Conceptualism is a kind of nominalism that does not give a realist understanding of mathematics (note that Platonism is not an opponent of nominalism as some seem to believe). The paper presents some examples and reflections intending to hint at the role of formal thought in the process of knowledge growth. It argues that there is no division of labor according to which certain modes of human cognition are associated with certain tasks and certain cognitive roles exclusively. In this connection, the paper claims that the subject matter of mathematical activity is represented within the system of activity by many different means. Mathematics differs in fact from logic in as much as a principle of heterogeneity or of flexible ‘means-objects-relationships’ is valid. Formalization in contrast brings forward a principle of homogeneity — that like follows like. Every subject matter requires principles homogeneous with itself. The paper tries to draw some conclusions from this difference with respect to the role of formalization within human cognitive development.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Interchange 21 (1990), S. 59-64 
    ISSN: 1573-1790
    Source: Springer Online Journal Archives 1860-2000
    Topics: Education
    Notes: Summary Thus, in summary, I have argued that whenever we see mathematical proof as involving only a mechanical aspect we are driven to see that it involves, as well, an intuitive one. And whenever we are tempted to see mathematical proof as involving only a solitary aspect, we are driven to seeing that it is also a social matter. And whenever we are tempted to see a mathematical argument of the kind found in proof, namely a chain of tautologies or of equalities, as merely, or perhaps as the ideal of, literal expression, we are also forced to see that it is, in fact, essentially metaphorical. And perhaps these three conclusions are enough for one paper.
    Type of Medium: Electronic Resource
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  • 8
    Title: Mathematik und Technik im 19. Jahrhundert in Deutschland: soziale Auseinandersetzungen und philosophische Problematik; 6
    Author: Hensel, Susann
    Contributer: Ihmig, Karl-Norbert , Otte, Michael
    Publisher: Göttingen :Vandenhoeck & Ruprecht,
    Year of publication: 1989
    Pages: 305 S.
    Series Statement: Studien z. Wissenschafts-,Sozial-u.Bildungsgeschichte d. Mathematik 6
    Type of Medium: Book
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