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On the geometric form of Bernoulli configurations
Mathematical Methods in the Applied Sciences, 1988AbstractIn References 4 and 5, the author studied the geometric form of the free boundary Γ of an annular domain Ω, characterized by the Bernoulli condition that |∇U|=1 on Γ, where U is the capacity potential in Ω. It was shown, for example, that Γ has at most as many ν‐extrema (for a given direction ν) or inflection points as the other boundary ...
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Geometrical Aspects of Gauge Configurations
1981These notes contain an informal description of the geometrical foundations of gauge theories. The theory of gravitation is compared to theories of the Yang-Mills type. Space-time symmetries of gauge configurations are defined in terms of automorphisms of principal bundles.
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Matroids as the Study of Geometrical Configurations
1977Matroids arise in a variety of combinatorial and algebraic contexts. The ideas of independence and bases as in vector spaces dependence as in algebraic dependence circuits as in graphs flats as in projective geometries atomic semimodular lattices, all come down to the same underlying structure.
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Interactive generalizing of geometric configurations
International Journal of Mathematical Education in Science and Technology, 1991The heuristic method of generalizing in the sense of theorem finding through conceptual generalization is a productive scheme of cognition which, in the field of synthetic elementary geometry, can be acquired and practised by the student in a direct way.
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Limit Shapes of Typical Geometric Configurations and Their Applications
Journal of Mathematical Sciences, 2004This is the text of an expository lecture to students of the Independent University of Moscow, describing recent work, mainly of the author (together with \textit{I. Bárány} in the case of lattice polygons [Geom. Funct. Anal. 2, No. 4, 381--393 (1992; Zbl 0772.52010)], and with \textit{Yu. Yakubovich} in the case of Young tableaux [Mosc. Math. J. 1, No.
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Effect of the Geometric Configuration of the Disc Cutter on the Cutting Behaviour in Tunneling
Applied Sciences (Switzerland), 2023Dajun Yuan, Xiaojie Deng, Yixin Duan
exaly

