Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trace inequalities in nonextensive statistical mechanics   In this short paper, we establish a variational expression of the Tsallis
relative entropy. In addition, we derive a generalized thermodynamic inequality
and a generalized Peierls-Bogoliubov inequality. Finally we give a generalized
Golden-Thompson inequality.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph