Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Binary relations between magnitudes of different dimensions used in
  material science optimization problems. Pseudo-state equation of Soft
  Magnetic Composities   Suplementary algoritm for optimizing technological parameters of soft
magnetic compozities has been derived on the base of topological structure of
the power loss characteristics. In optimization processes of magnitudes obeying
scaling it happen binary relations of magnitudes having different dimensions.
From mathematical point of view in general case such a procedure is not
permissible. However, in a case of the system obeying the scaling law it is so.
It has been shown that in such systems binary relations of magnitudes of
different dimensions is correct and has mathematical meaning which is important
for practical use of scaling in optimization processes. Derived here structure
of the set of all power loss characteristics in soft magnetic composite enables
us to derive a formal pseudo-state equation of SMC. This equation constitutes a
realation of the hardening temperature, the compaction pressure and a parameter
characterizing the power loss characteristic. Finally, the pseudo-state
equation improves the algoritm for designing the best values of technological
parameters.

25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc