In the second section, differential and algebraic topology are needed to study an amazing generalization of bodies of constant width known as transnormal manifolds. Section 16.3 is devoted to polyhedra that circumscribe the sphere of diameter 1; within this family, we will characterize those ...
The Mathematical Society of JapanJournal of the Mathematical Society of JapanH. Han and T. Nishimura, Self-dual Wulff shapes and spherical convex bodies of constant width π/2, J. Math. Soc. Japan 69 (2017), 1475-1484.H. Han and T. Nishimura, Self-dual shapes and spherical convex ...
Nakajima (= A. Matsumura) showed that any convex body in $\R^3$with constant width, constant brightness, and boundary of class $C^2$ is aball. We show that the regularity assumption on the boundary is unnecessary, sothat balls are the only convex bodies of constant width and brightness...
On the 1-measure of asymmetry for convex bodies of constant widthdoi:10.1007/s13366-013-0167-1In this paper we study the $1$ -measure of asymmetry for convex bodies of constant width.HailinDepartmentJinDepartmentSpringerBeiträge Zur Algebra Und Geometrie...
We also mention in passing that Conjecture 1 has been confirmed for certain classes of convex bodies such as wide ball-bodies including convex bodies of constant width ([1], [2], [3], [8], [27]), convex bodies of Helly dimension 2 ([7]), and belt-bodies including zonoids and ...
The definition of water bodies was examined, as was the physical and legal structure of waterways formed through these water bodies. Depending on the ship that transports the cargo, the required water depth, width, and air draft requirements differ. Therefore, in order to check whether the ...
Convexity Discussed are the idea, examples, problems, and applications of convexity. Topics include historical examples, definitions, the John-Loewner ellipsoid, con... M Berger - 《American Mathematical Monthly》 被引量: 22发表: 1990年 The Constant Width Measure Set, the Spherical Measure Set and...
Classification Thickness range(mm) Width range(mm) Size(mm) Purpose Alloy Type Condition Inner diameter(mm) Rewound Diameter House foil 0.010-0.018 300-520 8011/1235 O 76/152 280-580 For packing ofvariousointment Coated foil 0.05-0.2 1210-1220 8011/1100 H22 152 ...
Nanobodies, or heavy-chain single-domain antibodies (VHH-variable domain of heavy chain antibody), are antibodies that lack light chains and have a heavy chain constant region missing the CH1 domain. The variable region of the heavy chain, VHH, can be cloned and expressed individually, retaining...
Bayen, T., Lachand-Robert, T., Oudet, E.: Analytic parametrization of three-dimensional bodies of constant width. Arch. Ration. Mech. Anal. 186(2), 225-249 (2007)T. Bayen, T. Lachand-Robert and E. Oudet, Analytic parametrization of three- dimensional bodies of constant width, Arch...