Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate formulation of the probability that the Determinant or
  Permanent of a matrix undergoes the least change under perturbation of a
  single element   In an earlier paper, we discussed the probability that the determinant of a
matrix undergoes the least change upon perturbation of one of its elements,
provided that most or all of the elements of the matrix are chosen at random
and that the randomly chosen elements have a fixed probability of being
non-zero. In this paper, we derive approximate formulas for that probability by
assuming that the terms in the permanent of a matrix are independent of one
another, and we apply that assumption to several classes of matrices. In the
course of deriving those formulas, we identified several integer sequences that
are not listed on Sloane's Web site.

21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph