Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Affine Geometry of Space Curves   This paper is devoted to the complete classification of space curves under
affine transformations in the view of Cartan's theorem. Spivak has introduced
the method but has not found the invariants. Furthermore, for the first time,
we propound a necessary and sufficient condition for the invariants. Then, we
study the shapes of space curves with constant curvatures in detail and suggest
their applications in physics, computer vision and image processing.

20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph