Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lopsided Approximation of Amoebas   The amoeba of a Laurent polynomial is the image of the corresponding
hypersurface under the coordinatewise log absolute value map. In this article,
we demonstrate that a theoretical amoeba approximation method due to Purbhoo
can be used efficiently in practice. To do this, we resolve the main bottleneck
in Purbhoo's method by exploiting relations between cyclic resultants. We use
the same approach to give an approximation of the Log preimage of the amoeba of
a Laurent polynomial using semi-algebraic sets. We also provide a SINGULAR/SAGE
implementation of these algorithms, which shows a significant speedup when our
specialized cyclic resultant computation is used, versus a general purpose
resultant algorithm.

20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio