View source for Optimal Classification/Rypka Method/Equations/Separatory/Characteristic/Theoretical

==Theoretical Separation==
=== The general identification equation ===

:<math> S_j = \frac{1-{V^{-j}}}{1-V^{-C}}</math>, where:<ref>See page 153, page 167, Fig. 2. & page 175 of the '''primary reference'''</ref> 

::*'''''S<sub>j</sub>''''' 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 ===

: <math> t_{min} =  \frac{\log G}{\log V}</math>, where:<ref>See page 157, ''Primary Schemes'' footnote of the '''primary reference'''</ref>

::*'''''t<sub>min</sub>''''' 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 ==

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