Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructive proofs of some positivstellens\"atze for compact
  semialgebraic subsets of $\mathbb{R}^d$   In a broad sense, positivstellens\"atze are results about representations of
polynomials which are strictly positive on a given set. We give constructive
and, to a large extent, elementary proofs of some known positivstellens\"atze
for compact semialgebraic subsets of $\mathbb{R}^d$. The presented proofs
extend and simplify arguments of Berr, W\"ormann (2001) and Schweighofer (2002,
2005).

29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys