On the affine surface area
Web10 de set. de 2004 · Its relation to p-affine surface area is studied. Previous article in issue; Next article in issue; MSC. 52A20. Keywords. Convex body. Floating body. P-affine surface area. Recommended articles. References [Ba1] I Bárány. Random polytopes in smooth convex bodies. Mathematika, 39 (1992), pp. 81-92. Webof Lp-affine surface area to all ρ € (-η, oo) and also gave a geometric definition of Lp-affine surface area in terms of Lp-Santalô bodies for ρ e (-n, oo). Schutt & Werner went on to show how Lp-affine surface area, for all ρ € [-00,00] (except ρ = -η) has a natural definition in terms of random polytopes [25], and gave another ...
On the affine surface area
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Web10 de set. de 2004 · The surface body is a generalization of the floating body. Its relation to p -affine surface area is studied. MSC 52A20 Keywords Convex body Floating body P … Web(13) Wang Weidong(王卫东) and Leng Gangsong, Some affine isoperimetric inequalities associated with Lp-affine surface area, Houston Journal of Mathematics, 2008, 34(2): 443-453. (SCI) (14) Wang Weidong(王卫东),Leng Gangsong,On the Lp-version of the Petty's conjectured projection inequality and applications, Taiwanese Journal of …
Web26 de nov. de 2009 · We prove new Alexandrov-Fenchel type inequalities and new affine isoperimetric inequalities for mixed p -affine surface areas. We introduce a new class of … WebAn affine space is a generalization of this idea. You can't add points, but you can subtract them to get vectors, and once you fix a point to be your origin, you get a vector space. …
Web13 de abr. de 2024 · Discrete kinetic equations describing binary processes of agglomeration and fragmentation are considered using formal equivalence between the kinetic equations and the geodesic equations of some affinely connected space A associated with the kinetic equation and called the kinetic space of affine connection. … Web11 de abr. de 2024 · Márta et al. proposed a new definition of a surface that uses three triangular surfaces instead of the original boundary curves on the triangular parameter domain to generate a triangular surface. This interpolation scheme has affine transformation invariance [ 19 ], while the connection between the resulting surface and …
Web5 de abr. de 2024 · Affine surface area. Carsten Schuett, Elisabeth M. Werner. We give an overview of the affine surface area, its properties and its history. Subjects: Differential Geometry (math.DG) Cite as: arXiv:2204.01926 [math.DG]
Web1 de abr. de 1993 · title={ON THE AFFINE SURFACE AREA}, author={Carsten Sch{\"u}tt and Elisabeth M. Werner}, year={1993} } C. Schütt, E. Werner Published1 April 1993 … new world where to catch oystersWebAn affine space is a generalization of this idea. You can't add points, but you can subtract them to get vectors, and once you fix a point to be your origin, you get a vector space. So one perspective is that an affine space is like a vector space where you haven't specified an … mikrotik winbox free downloadWeb978-1-4673-0964-6/12/$31.00 ©2012 IEEE 721 2012 5th International Congress on Image and Signal Processing (CISP 2012) mikrotik wifi access pointWebAbstract. In this paper, we introduce the L p geominimal surface area for all −n≠p<1, which extends the classical geominimal surface area (p=1) by Petty and the L p geominimal surface area by Lutwak (p>1). Our extension of the L p geominimal surface area is motivated by recent work on the extension of the L p affine surface area—a … mikrotik vpn how to allow icmpWeb5 de jan. de 2024 · Metrics. In this paper, we define the L_p -mixed affine surface area probability measure and obtain the log-Minkowski inequalities for nonsymmetric convex bodies of L_p -mixed affine surface area. Besides, we also establish the functional inequalities for L_p -mixed affine surface area, which are more general form than the … mikrotik winbox configuration step by stepWeb1 de ago. de 2011 · In this paper, we establish a number of L p-affine isoperimetric inequalities for L p-geominimal surface area. In particular, we obtain a … new world where to farm iron oreWeb25 de mar. de 1996 · One is the L p Brunn-Minkowski theory initiated by the two landmark papers [49, 50] by Lutwak in the early 1990s where he defined the L p surface area … mikrotik wifi configuration