Two-dimensional Newton's problem of minimal resistance
Cristiana Silva, Delfim Torres (2006)
Control and Cybernetics
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Cristiana Silva, Delfim Torres (2006)
Control and Cybernetics
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Braß, Peter, Herburt, Irmina (1997)
Beiträge zur Algebra und Geometrie
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Vojtěch Jarník (1948)
Časopis pro pěstování matematiky a fysiky
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Marek Lassak, Monika Nowicka (2010)
Colloquium Mathematicae
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Denote by Kₘ the mirror image of a planar convex body K in a straight line m. It is easy to show that K*ₘ = conv(K ∪ Kₘ) is the smallest by inclusion convex body whose axis of symmetry is m and which contains K. The ratio axs(K) of the area of K to the minimum area of K*ₘ over all straight lines m is a measure of axial symmetry of K. We prove that axs(K) > 1/2√2 for every centrally symmetric convex body and that this estimate cannot be improved in general. We also give a formula for...
Juhnke, Friedrich (1995)
Beiträge zur Algebra und Geometrie
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Lindquist, Norman F. (1975)
Portugaliae mathematica
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Kincses, J., Kurusa, Á. (1995)
Beiträge zur Algebra und Geometrie
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Karl Kunisch, Georg Stadler (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The 2D-Signorini contact problem with Tresca and Coulomb friction is discussed in infinite-dimensional Hilbert spaces. First, the problem with given friction (Tresca friction) is considered. It leads to a constraint non-differentiable minimization problem. By means of the Fenchel duality theorem this problem can be transformed into a constrained minimization involving a smooth functional. A regularization technique for the dual problem motivated by augmented lagrangians allows to apply...
Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Dorn, C. (1978)
Portugaliae mathematica
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