Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Hopital-style rules for monotonicity and oscillation   We point out the connection of the so-called H\^opital-style rules for
monotonicity and oscillation to some well-known properties of concave/convex
functions. From this standpoint, we are able to generalize the rules under no
differentiability requirements and greatly extend their usability. The improved
rules can handle situations in which the functions involved have non-zero
initial values and when the derived functions are not necessarily monotone.
This perspective is not new; it can be dated back to Hardy, Littlewood and
Polya.

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The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph