Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Single-tape and Multi-tape Turing machines through the lens of the
  Grossone methodology   The paper investigates how the mathematical languages used to describe and to
observe automatic computations influence the accuracy of the obtained results.
In particular, we focus our attention on Single and Multi-tape Turing machines
which are described and observed through the lens of a new mathematical
language which is strongly based on three methodological ideas borrowed from
Physics and applied to Mathematics, namely: the distinction between the object
(we speak here about a mathematical object) of an observation and the
instrument used for this observation; interrelations holding between the object
and the tool used for the observation; the accuracy of the observation
determined by the tool. Results of the observation executed by the traditional
and new languages are compared and discussed.

24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc