ThmDex – An index of mathematical definitions, results, and conjectures.
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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Map
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Operation
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N-operation
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Binary operation
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Enclosed binary operation
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Groupoid
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Semigroup
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Standard N-operation
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Indexed sum
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Series
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Power series
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Convergent power series
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Convergent basic real power series
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Standard real sine function
Definition D2635
Warsaw sine function
Formulation 0
The
Warsaw sine function
is the
D4364: Real function
\begin{equation} (0, 1] \to \mathbb{R}, \quad x \mapsto \sin \left( \frac{1}{x} \right) \end{equation}
Formulation 1
The
Warsaw sine function
is the
D4364: Real function
\begin{equation} (0, 1] \to \mathbb{R}, \quad x \mapsto \sin ( x^{-1} ) \end{equation}
Children
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D2634: Warsaw sine curve