Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase-Locked Loop based Resonant Sensors: A Rigorous Theory and General
  Analysis Framework for Deciphering Fundamental Sensitivity Limitations due to
  Noise
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th