Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremal functions for real convex bodies: simplices, strips, and
  ellipses   We present an explicit method to compute the (Siciak-Zaharjuta) extremal
function of a real convex polytope in terms of supporting simplices and strips.
We use this to give a new proof of the existence of extremal ellipses
associated to the extremal function of a real convex body.

3
The categories of this paper are: physics
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin