On the affine surface area
Web4 de out. de 2016 · Schiitt C, Wener E. Surface bodies and p -affine surface area[J]. Adv Math, 2004, 187: 98–145. Article Google Scholar Wang W D, Leng G S. p L -mixed affine surface area [J]. J Math Anal Appl, 2007, 335: 341–354. Article Google Scholar Werner E. Illumination bodies and affine surface area [J]. 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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WebTherefore we expect that the p-affine surface area will turn out to be an equally useful tool as the affine surface area. Hug [H1] gave new definitions of the p-affine surface area. He also proved that these new definitions give the same p-affine surface area as that defined by Lutwak. (In particular, Hug generalized the work of Dolzmann 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 …
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] 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. So one perspective is that an affine space is like a vector space where you haven't specified an …
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 mai. de 2011 · Let K be a convex body in ℝn. We introduce a new affine invariant, which we call ΩK, that can be found in three different ways: as a limit of normalized Lp‐affine surface areas; as the relative … Expand
Web20 de ago. de 2010 · General affine surface areas. Two families of general affine surface areas are introduced. Basic properties and affine isoperimetric inequalities for these new …
Web978-1-4673-0964-6/12/$31.00 ©2012 IEEE 721 2012 5th International Congress on Image and Signal Processing (CISP 2012) north alabama health services in scottsboroWeb22 de mar. de 2024 · The mixed L p affine surface areas for functions Baocheng Zhu Department of Mathematics, Hubei University for Nationalities, Enshi, Huibei, 445000, China; Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1C 5S7 Correspondence [email protected] how to rent booklet nearly legalWeb13 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. … north alabama high schoolWeb5 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 … how to rent box office movies on dstvWeb15 de ago. de 2009 · General affine surface areas Monika Ludwig Two families of general affine surface areas are introduced. Basic properties and affine isoperimetric … how to rent books on kindleWebSome new inequalities for i -th mixed p -affine surface area are established. The results in special cases yield some of the recent results on inequalities of this type. Mathematics subject classification (2010): 52A20. north alabama hunting propertyWeb1 de jul. de 2007 · The L p affine surface area is one important concept and plays crucial roles in L p Brunn-Minkowski theory initialized by Lutwak (cf. [2,3,6,5,8,12,13,16, [19] [20] [21] [22] [23]25, 41] ).... how to rent booklet archive