Metrics and R conversion

[next] [prev] [prev-tail] [tail] [up]

7.2.11 Metrics and $R$ conversion

T width() const; 
T midpoint() const; 
T magnitude() const; 
T mignitude() const; 
T pivot() const; 
T size() const; 
T radius() const;

These functions convert the interval into a $R$ space representation. Given the current interval as $A ∈ KR$ these metrics are defined as:

width(): Width of the interval $a-a-$ .
midpoint(): Midpoint of the interval $1(a+ a) 2$ .
magnitude(): Magnitude of the interval $max(|a|,| a|)$ .
mignitude(): Mignitude of the interval $min(|a|,| a|)$ .
pivot(): Pivot of the interval $√︁max(-|a|,| a|)min(|a|,| a|)$ .
size(): Size of the interval $1(|a-|+ |a|) 2$ .
radius(): Radius of the interval $(- - ) max a-a-a,a-- a-a- 2 2$ .

[next] [prev] [prev-tail] [front] [up]