Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Every State on Interval Effect Algebra is Integral   We show that every state on an interval effect algebra is an integral through
some regular Borel probability measure defined on the Borel $\sigma$-algebra of
a compact Hausdorff simplex. This is true for every effect algebra satisfying
(RDP) or for every MV-algebra. In addition, we show that each state on an
effect subalgebra of an interval effect algebra $E$ can be extended to a state
on $E.$ Our method represents also every state on the set of effect operators
of a Hilbert space as an integral

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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con