Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Taylor Expansion of homogeneous functions   We derive the Taylor polynomial of a function, which is $m$-times
continuously differentiable and positive homogeneous of order $m$. The Taylor
polynomial in $a$ for $f(b)$ of order $m$ in general is a polynomial of order
$m$ in $b-a$. If the given function is positive homogeneous of order $m$, the
Taylor polynomial is a polynomial in $b$ rather than $b-a$, and the order of
all terms is $m$. The result can be applied to powers of homogeneous functions
of order $1$ as well.

32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas