Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smoothness parameter of power of Euclidean norm   In this paper, we study derivatives of powers of Euclidean norm. We prove
their H\"older continuity and establish explicit expressions for the
corresponding constants. We show that these constants are optimal for odd
derivatives and at most two times suboptimal for the even ones. In the
particular case of integer powers, when the H\"older continuity transforms into
the Lipschitz continuity, we improve this result and obtain the optimal
constants.

14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg