Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On deformation-gradient tensors as two-point tensors in curvilinear
  coordinates   We derive a general expression for the deformation-gradient tensor by
invoking the standard definition of a gradient of a vector field in curvilinear
coordinates. This expression shows the connection between the standard
definition of a gradient of a vector field and the deformation gradient tensor
in continuum mechanics. We illustrate its application in the context of
problems discussed by Ogden [1997].

17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga