Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Upper bound of typical ranks of m x n x ((m-1)n-1) tensors over the real
  number field   Let $3\leq m\leq n$. We study typical ranks of $m\times n\times ((m-1)n-1)$
tensors over the real number field. The number $(m-1)n-1$ is a minimal typical
rank of $m\times n\times ((m-1)n-1)$ tensors over the real number field. We
show that a typical rank of $m\times n\times ((m-1)n-1)$ tensors over the real
number field is less than or equal to $(m-1)n$ and in particular, $m\times
n\times ((m-1)n-1)$ tensors over the real number field has two typical ranks
$(m-1)n-1, (m-1)n$ if $m\leq \rho(n)$, where $\rho$ is the Hurwitz-Radon
function defined as $\rho(n)=2^b+8c$ for nonnegative integers $a,b,c$ such that
$n=(2a+1)2^{b+4c}$ and $0\leq b<4$.

27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg