Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fuchsia: a tool for reducing differential equations for Feynman master
  integrals to epsilon form   We present $\text{Fuchsia}$ $-$ an implementation of the Lee algorithm, which
for a given system of ordinary differential equations with rational
coefficients $\partial_x\,\mathbf{f}(x,\epsilon) =
\mathbb{A}(x,\epsilon)\,\mathbf{f}(x,\epsilon)$ finds a basis transformation
$\mathbb{T}(x,\epsilon)$, i.e., $\mathbf{f}(x,\epsilon) =
\mathbb{T}(x,\epsilon)\,\mathbf{g}(x,\epsilon)$, such that the system turns
into the epsilon form: $\partial_x\, \mathbf{g}(x,\epsilon) =
\epsilon\,\mathbb{S}(x)\,\mathbf{g}(x,\epsilon)$, where $\mathbb{S}(x)$ is a
Fuchsian matrix. A system of this form can be trivially solved in terms of
polylogarithms as a Laurent series in the dimensional regulator $\epsilon$.
That makes the construction of the transformation $\mathbb{T}(x,\epsilon)$
crucial for obtaining solutions of the initial equations.
  In principle, $\text{Fuchsia}$ can deal with any regular systems, however its
primary task is to reduce differential equations for Feynman master integrals.
It ensures that solutions contain only regular singularities due to the
properties of Feynman integrals.

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The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: funct-an