Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Linear Property of Bilinearly Defined Sets in $\mathbb{R}^n$   Certain types of bilinearly defined sets in $\mathbb{R}^n$ exhibit a higher
degree of linearity than what is apparent by inspection.

12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org