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
▼ Exponentiation
▼ Root
▼ Real root
▼ Real number square root
▼ Real number principal square root
▼ Standard real square root function
Definition D6061
Standard unit semicircle function
Formulation 0
The standard unit semicircle function is the D4364: Real function \begin{equation} [-1, 1] \to [0, 1], \quad x \mapsto \sqrt{1 - x^2} \end{equation}