Metrics and R conversion

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8.2.11 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 triplex into a $R$ space representation. Given the current triplex as $A∈ TR$ these metrics are defined as:

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

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