Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power series determined by an experiment on the unit interval   We consider the linear combinations of elements of two sequences: the first
one a priory given nonnegative sequence and the second random sequence from the
unit interval. We investigate the expected value of the smallest natural number
such that the value of these linear combinations exceed a positive number.
After very clear geometrical conclusions, we find the function which expresses
the expected value. Here, we recognize a few known results like the special
cases.

22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat