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

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## Theoretical Separation

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### The general identification equation

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

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- $t_{min}={\frac {\log G}{\log V}}$ , 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.

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