Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unintended consequences of imprecise Notation -- an example from
  mechanics   We present a conundrum that results from the imprecise use of notation for
partial derivatives. Taking an example from mechanics, we show that lack of
proper care in representing partial derivatives in Lagrangian and Hamiltonian
formulations paradoxically leads to two different values for the time
derivative of the canonical momentum. This problem also exists in other areas
of physics, such as thermodynamics.

19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph