ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Operation
N-operation
Binary operation
Enclosed binary operation
Groupoid
Semigroup
Standard N-operation
Indexed sum
Series
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
Warsaw sine curve