Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extensions of Noether's Second Theorem: from continuous to discrete
  systems   A simple local proof of Noether's Second Theorem is given. This proof
immediately leads to a generalization of the theorem, yielding conservation
laws and/or explicit relationships between the Euler--Lagrange equations of any
variational problem whose symmetries depend upon a set of free or
partly-constrained functions. Our approach extends further to deal with finite
difference systems. The results are easy to apply; several well-known
continuous and discrete systems are used as illustrations.

30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs