Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Solving of the Problems with Random Division of an Interval with Use
  of Computer Analytic Programs   An original approach to solving rather difficult probabilistic problems
arising in studying the readout of random discrete fields and having no exact
analytical solutions at the moment is proposed. Several algorithms for direct,
iterative, and combinatorial-recursive calculations of multidimensional
integral expressions, which can describe partial solutions of these problems,
are presented (these solutions are further used to search for the common closed
analytical regularities). The huge volume of necessary calculations forced us
to formalize completely the algorithms and to transfer all the burden of
routine analytical transforms to a computer. The calculations performed helped
us to establish (and to prove later) a number of new earlier unknown
probabilistic formulas responsible for random division of an interval. One more
important feature of this study is the fact that we introduced a new concept of
'three-dimensional generalized Catalan numbers' and found their explicit form
in solving problems associated with random division of an interval.

5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat