Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal depth-dependent distinguishability bounds for electrical
  impedance tomography in arbitrary dimension   The inverse problem of electrical impedance tomography is severely ill-posed.
In particular, the resolution of images produced by impedance tomography
deteriorates as the distance from the measurement boundary increases. Such
depth dependence can be quantified by the concept of distinguishability of
inclusions. This paper considers the distinguishability of perfectly conducting
ball inclusions inside a unit ball domain, extending and improving known
two-dimensional results to an arbitrary dimension $d \geq 2$ with the help of
Kelvin transformations. The obtained depth-dependent distinguishability bounds
are also proven to be optimal.

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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ