# Optimal Classification/Rypka Method/Equations/Separatory/Characteristic/Empirical/Separation

## Separation Stages[edit | edit source]

### Initial separation[edit | edit source]

, where:^{[1]}

is the initial empirical separatory value for each characteristic, where,**S**_{j}

and is the index of the**j = 0...C**th characteristic in the group and**j**is the number of characteristics in the group, and,**C**and is the truth table value of the**l = 0...R**th characteristic, where**j**is the truth table size, where:**R**=**R****V**, and,^{0}is the highest value of logic in the group and,**V**is the target set exponent for a single characteristic, and,**0**

is the number of elements in the**G****bounded**class.

### Subsequent separation[edit | edit source]

, where:

is the initial empirical separatory value for each characteristic, where,**S**_{j}

and is the target set truth table index value, where**l = 0...R**is the target set truth table size value, where:**R**=**R****V**, and,^{K}is the highest value of logic in the group and,**V**is the number of characteristics in the target set, and,**K**

is the number of elements in the**G****bounded**class.

## Notes[edit | edit source]

- ↑ Must be applied initially to each characteristic. (The equations have been implemented in Mathcad and using the Visual Basic programming language. See Application_Example