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

Theoretical Separation

The general identification equation

$S_j = \frac{1-{V^{-j}}}{1-V^{-C}}$, where:

• 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:

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