Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Introduction into Calculus over Division Ring   Based on twin representations of division ring in an Abelian group I consider
$D$\Hyph vector spaces over division ring. Morphism of $D$\Hyph vector spaces
is linear map of $D$\Hyph vector spaces.
  I consider derivative of function $f$ of continuous division ring as linear
map the most close to function $f$. I explore expansion of map into Taylor
series and method to find solution of differential equation.
  The norm in $D$\Hyph vector space allows considering of continuous mapping of
$D$\Hyph vector spaces. Differential of mapping $f$ of $D$\Hyph vector spaces
is defined as linear mapping the most close to map $f$.

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The categories of this paper are: hep-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an