Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connection between subdifferentials and codifferentials. Constructing
  the continuous codifferentials. I   In the article the author is studying the twice codifferentiable functions,
defined by Prof. V.Ph. Demyanov, and some methods for calculating their
codifferentials. At the beginning easier case is considered when a function is
twice hypodifferentiable. There is proved that a twice hypodifferentiable
positively homogeneous function $ h (\cdot) $ of the second order is maximum of
the quadratic forms with respect to a certain set of matrices, which coincides
with the convex hull of the limit matrices calculated at points, where the
original function $ h (\cdot) $ is twice differentiable, and these points tend
themselves to zero. It is shown that a set of the limit matrices coincides with
the second-order subdifferential, introduced by the author, of a positively
homogeneous function of the second order at the point zero. The author's first
and second subdifferentials are used to calculate the second codifferential of
a codifferentiable function $f(\cdot) $. The second hypodifferential and
hyperdifferential of a function $f(\cdot) $ are evaluated up to equivalence.
The proved theorems, that give the rules for calculating subdifferentials and
codifferentials, are important for practical optimization.

30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg