Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euclidean Geometric Objects in the Clifford Geometric Algebra of
  {Origin, 3-Space, Infinity}   This paper concentrates on the homogeneous (conformal) model of Euclidean
space (Horosphere) with subspaces that intuitively correspond to Euclidean
geometric objects in three dimensions. Mathematical details of the construction
and (useful) parametrizations of the 3D Euclidean object models are explicitly
demonstrated in order to show how 3D Euclidean information on positions,
orientations and radii can be extracted.

10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: stat