Optimal Classification/Rypka Method/Equations/Separatory/Characteristic/Theoretical

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Theoretical Separation

The general identification equation

S_{j}={\frac {1-{V^{-j}}}{1-V^{-C}}}

, where:^[1]

S_j is the theoretical separatory value per jth characteristic,
C is the number of characteristics in the group,
V is the highest value of logic in the group and
j is the jth characteristic index in the target set, where:

j = 0..K and where:

K is the number of characteristics in the target set.

Minimal number of characteristics to result in theoretical separation

t_{min}={\frac {\log G}{\log V}}

, where:^[2]

t_min is the minimal number of characteristics to result in theoretical separation,
G is the number of elements in the bounded class and
V is the highest value of logic in the group.

Notes

↑ See page 153, page 167, Fig. 2. & page 175 of the primary reference
↑ See page 157, Primary Schemes footnote of the primary reference

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