Definitions
,
Results
,
Conjectures
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Set of symbols
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Alphabet
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Deduction system
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Theory
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Zermelo-Fraenkel set theory
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Set
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Binary cartesian set product
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Binary relation
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Binary endorelation
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Preordering relation
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Partial ordering relation
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Partially ordered set
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Closed interval
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Implicit interval partition
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Implicit basic real interval partition
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Closed real interval tagged partition
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Stieltjes sum
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Riemann sum
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Riemann integrable real function
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Real Riemann integral
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Standard natural real logarithm function
Natural real entropy function
Formulation 0
The
natural real entropy function
is the
D4364: Real function
\begin{equation} (0, \infty) \to \mathbb{R}, \quad x \mapsto x \log x \end{equation}