ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
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▼ Zermelo-Fraenkel set theory
▼ Set
▼ Binary cartesian set product
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▼ Power series
▼ Convergent power series
▼ Convergent basic real power series
▼ 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
▶ D2634: Warsaw sine curve