Geodesic
On Measures of Size for Convex Cones
Journal of convex analysis, Tome 23 (2016) no. 4, pp. 947-98
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By using an axiomatic approach we formalize the concept of size index for closed convex cones in the Euclidean space Rn. We review a dozen of size indices disseminated through the literature, commenting on the advantages and disadvantages of each choice.
Classification : 28A75, 51M25, 52A20, 52A40
Mots-clés : Convex cone, ellipsoidal cone, solid angle, maximal angle, ball-truncated volume, canonical volume, Gaussian width, statistical dimension 
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     author = {A. Seeger},
     title = {On {Measures} of {Size} for {Convex} {Cones}},
     journal = {Journal of convex analysis},
     pages = {947--98},
     year = {2016},
     volume = {23},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2016_23_4_JCA_2016_23_4_a0/}
}
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A. Seeger. On Measures of Size for Convex Cones. Journal of convex analysis, Tome 23 (2016) no. 4, pp. 947-98. http://geodesic.mathdoc.fr/item/JCA_2016_23_4_JCA_2016_23_4_a0/