Results 41 to 50 of about 253,345 (276)
MATHEMATICA SCANDINAVICA, 1990 There are several ways to generalize the classical concept of affine surface area of a sufficiently smooth convex body \(K\) in \(\mathbb{R}^ n\) due to Blaschke to arbitrary convex bodies [see \textit{K. Leichtweiss}, Manuscr. Math. 56, 429-464 (1986; Zbl 0588.52011), \textit{E. Lutwak}, Adv. Math. 85, No. 1, 39-68 (1991; Zbl 0727.53016) and \textit{C.
Werner, Elisabeth, Schütt, Carsten
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Complete spherical convex bodies [PDF]
Journal of Geometry, 2020 AbstractSimilarly to the classic notion in Euclidean space, we call a set on the sphere $$S^d$$ S d complete, provided adding any extra point increases its diameter. Complete sets are convex bodies on $$S^d$$ S d . Our main theorem says that on $$S^d$$ S d complete bodies of diameter $$\delta $$ δ coincide with bodies of constant width ...
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Order Types of Convex Bodies [PDF]
Order, 2010 We give new bounds on the Erdos-Szekeres theorems for convex bodies of Bisztriczky and Fejes Toth and of Pach and Toth. We derive them from a combinatorial characterization of convex position of a family of planar convex bodies. This characterization confirms that the concept of Order Type for points can be extended to noncrossing families of convex ...
Hubard, Alfredo +3 more
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Floating and Illumination Bodies for Polytopes: Duality results
Discrete Analysis, 2019 Floating and illumination bodies for polytopes: duality results, Discrete Analysis 2019:11, 22 pp. A well-known concept in convex geometry is that of the _floating body_ of a convex body, which is defined as follows.
Elisabeth Werner, Olaf Mordhorst
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Shadows of Convex Bodies [PDF]
Transactions of the American Mathematical Society, 1991 It is proved that if C C is a convex body in R n {\mathbb {R}^n} then C C has an affine image C ~ \tilde C (of nonzero volume) so that if P P is any 1 1 ...
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Covariogram of non-convex sets
, 2010 The covariogram of a compact set A contained in R^n is the function that to each x in R^n associates the volume of A intersected with (A+x). Recently it has been proved that the covariogram determines any planar convex body, in the class of all convex ...
Adler +6 more
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Clinical Validation of Plasma p‐217tau in Neurological Diseases
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Plasma p‐217tau is a minimally invasive but specific biomarker for diagnosing Alzheimer's disease (AD). However, its disease specificity remains to be clinically evaluated. We validated the reliability of the p‐217tau biomarker in 12 other neurological diseases.
Takeshi Kawarabayashi +13 more
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Ectopic localization of neural crest cells: etiological factor of scoliosis
Хирургия позвоночника, 2015 Objective. To identify cell phenotypes in vertebral body growth plates from patients with idiopathic scoliosis. Material and Methods. Cells were isolated from vertebral body growth plates both on convex and concave sides of the de- formity in 50 ...
Alla M. Zaidman +6 more
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Advanced Engineering Materials, EarlyView.The tribological behavior of 100Cr6 steel spheres textured via Vickers microindentation is evaluated under lubricated sliding by varying both dimple size and density. Fine and dense textures significantly reduce friction across all lubrication regimes, while large dimples increase it.
Farideh Davoodi +3 more
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Polytopes and $C^1$-convex bodies [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 The face numbers of simplicial polytopes that approximate $C^1$-convex bodies in the Hausdorff metric is studied. Several structural results about the skeleta of such polytopes are studied and used to derive a lower bound theorem for this class of ...
Karim Adiprasito, José Alejandro Samper
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