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Displaying 221 – 240 of 1463

Beleuchtungsgebiete auf dem hyperbolischen Zylinder bei geometrischer Zentralbeleuchtung aus mehreren Lichtquellen

Mechthild Münch (1986)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Bemerkung über deltoidnahe" und ,, trapeznahe" asymmetrische Vierecke mit zwei einbeschriebenen Kreisen

KRÖTENHEERDT, K., P. RICHTER (1977)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Bemerkungen zur Definition einer erweiterten Affinoberfläche von E. Lutwak.

Kurt Leichtweiß (1989)

Manuscripta mathematica

Best constants for the isoperimetric inequality in quantitative form

Marco Cicalese, Gian Paolo Leonardi (2013)

Journal of the European Mathematical Society

We prove some results in the context of isoperimetric inequalities with quantitative terms. In the $2$ -dimensional case, our main contribution is a method for determining the optimal coefficients $c_{1}, ..., c_{m}$ in the inequality $δ P (E) \geq \sum_{k = 1}^{m} c_{k} α {(E)}^{k} + o (α {(E)}^{m})$ , valid for each Borel set $E$ with positive and finite area, with $δ P (E)$ and $α (E)$ being, respectively, the $𝑖𝑠𝑜𝑝𝑒𝑟𝑖𝑚𝑒𝑡𝑟𝑖𝑐𝑑𝑒𝑓𝑖𝑐𝑖𝑡$ and the $𝐹𝑟𝑎𝑒𝑛𝑘𝑒𝑙𝑎𝑠𝑦𝑚𝑚𝑒𝑡𝑟𝑦$ of $E$ . In $n$ dimensions, besides proving existence and regularity properties of minimizers for a wide class of $𝑞𝑢𝑎𝑛𝑡𝑖𝑡𝑎𝑡𝑖𝑣𝑒𝑖𝑠𝑜𝑝𝑒𝑟𝑖𝑚𝑒𝑡𝑟𝑖𝑐𝑞𝑢𝑜𝑡𝑖𝑒𝑛𝑡𝑠$ including the lower semicontinuous extension of $\frac{δ P (E)}{α {(E)}^{2}}$ , we describe the...

Bestimmung konvexer Körper durch Krümmungsmaße.

Rolf Schneider (1979)

Commentarii mathematici Helvetici

Between Paouris concentration inequality and variance conjecture

B. Fleury (2010)

Annales de l'I.H.P. Probabilités et statistiques

We prove an almost isometric reverse Hölder inequality for the euclidean norm on an isotropic generalized Orlicz ball which interpolates Paouris concentration inequality and variance conjecture. We study in this direction the case of isotropic convex bodies with an unconditional basis and the case of general convex bodies.

Bi- $(φ, ψ)$ convex sets.

Duca, D.I., Lupşa, L. (2003)

Mathematica Pannonica

Bisectors in Minkowski 3-space.

Horváth, Á.G. (2004)

Beiträge zur Algebra und Geometrie

Borsuk-Ulam type theorems

Adam Idzik (1995)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

A generalization of the theorem of Bajmóczy and Bárány which in turn is a common generalization of Borsuk's and Radon's theorem is presented. A related conjecture is formulated.

Boundary of the union of rectangles in the plane

Václav Medek (1983)

Aplikace matematiky

Given $n$ rectangles in a plane whose all sides belong to two perpendicular directions, an algorithm for the construction of the boundary of the union of those rectangles is shown in teh paper.