Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on the Lambert function and their application to the outage
  analysis of user cooperation   Problems formulated in terms of logarithmic or exponential equations often
use the Lambert $W$ function in their solutions. Expansions, approximations and
bounds on $W$ have been derived in an effort to gain a better understanding of
the relationship between equation parameters. In this paper, we focus on one of
the branches of $W$, denoted as $W_{-1}$, we derive tractable upper and lower
bounds and we illustrate their usefulness in identifying conditions under which
user cooperation can yield a lower outage probability than non-cooperative
transmission.

9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph