Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor functions of tensors and the concept of extended tensor fields   Tensor fields depending on other tensor fields are considered. The concept of
extended tensor fields is introduced and the theory of differentiation for such
fields is developed.

11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin