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ZONOID

Zonoid

Class of convex shapes

In convex geometry, a zonoid is a type of centrally symmetric convex body. The zonoids have several definitions, equivalent up to translations of the resulting

Zonoid

Median

Middle quantile of a data set or probability distribution

Mosler, Karl. Multivariate Dispersion, Central Regions, and Depth: The Lift Zonoid Approach. Vol. 165. Springer Science & Business Media, 2012. Puri, Madan

Median

Hilbert's fourth problem

Construct all metric spaces where lines resemble those on a sphere

limit of zonotopes in the Blaschke – Hausdorff metric is called a zonoid. For zonoids, the support function is represented by where σ ( u ) {\displaystyle

Hilbert's fourth problem

Hilbert's_fourth_problem

Zonohedron

Convex polyhedron projected from hypercube

simply states that the zonotope has n-volume zero. Equiprojective polyhedra Zonoid, the limit shape of a sequence of zonotopes Eppstein, David (1996). "Zonohedra

Zonohedron

Vector measure

Generalization of finite measure to Banach spaces

closed and convex. In fact, the range of a non-atomic vector measure is a zonoid (the closed and convex set that is the limit of a convergent sequence of

Vector measure

Vector_measure

Mean radius (astronomy)

Measure for the size of planets and other Solar System objects

; Pajor, A. (1987–88). "Isotropic position and inertia ellipsoids and zonoids of the unit ball and normed n-dimensional Space" (PDF). Geometric Aspects

Mean radius (astronomy)

Mean_radius_(astronomy)

Mahler volume

Number associated with symmetric convex bodies

arXiv:1212.2544. doi:10.1016/j.jfa.2013.08.008. Reisner, Shlomo (1986). "Zonoids with minimal volume-product". Mathematische Zeitschrift. 192 (3): 339–346

Mahler volume

Mahler_volume

Rhombic hectotriadiohedron

Hanegraaf, Anton (1980), Twenty Questions on Zonogons, Zonohedra and Zonoids (PDF), Université du Quebéc à Montréal, pp. 31–40. "Zonohedrification"

Rhombic hectotriadiohedron

Rhombic_hectotriadiohedron

Alexey Lyapunov

Soviet mathematician (1911–1973)

Lyapunov at the Mathematics Genealogy Project A. A. Lyapunov (on his 60th birthday) S. Kutateladze "Lyapunov's convexity theorem, zonoids, and bang-bang"

Alexey Lyapunov

Alexey_Lyapunov

Paolo Giudici

Professor of Statistics

difficult". Furthermore, Giudici and Raffinetti expanded the use of Lorenz Zonoids to develop assessment tools for the four main artificial intelligence trustworthiness

Paolo Giudici