Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Taylor's Theorem   The Euclidean algorithm makes possible a simple but powerful generalization
of Taylor's theorem. Instead of expanding a function in a series around a
single point, one spreads out the spectrum to include any number of points with
given multiplicities. Taken together with a simple expression for the
remainder, this theorem becomes a powerful tool for approximation and
interpolation in numerical analysis. We also have a corresponding theorem for
rational approximation.

13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn