Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Descriptive characterizations of the integral by seminorms   In this paper, we first define the concept of the limit average range of a
function defined on $[0,1]$ and taking values in a Hausdorff locally convex
topological vector space (locally convex space) $X$. Then, we present
characterizations of the primitive $F:[0,1] \to X$ of an integrable by
seminorms function $f:[0,1] \to X$ in terms of the limit average range of $F$.
It is shown that the limit average range characterizes the integral by
seminorms better then the usual differential.

33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an