Optimal Classification/Rypka Method/Equations/Separatory/Characteristic/Empirical/Separation
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Separation Stages[edit]
Initial separation[edit]
, where:^{[1]}

 S_{j} is the initial empirical separatory value for each characteristic, where,
 j = 0...C and is the index of the jth characteristic in the group and C is the number of characteristics in the group, and,
 l = 0...R and is the truth table value of the jth characteristic, where R is the truth table size, where:

 R = V^{0}, and,
 V is the highest value of logic in the group and,
 0 is the target set exponent for a single characteristic, and,
 R = V^{0}, and,

 G is the number of elements in the bounded class.
Subsequent separation[edit]
, where:

 S_{j} is the initial empirical separatory value for each characteristic, where,
 l = 0...R and is the target set truth table index value, where R is the target set truth table size value, where:

 R = V^{K}, and,
 V is the highest value of logic in the group and,
 K is the number of characteristics in the target set, and,
 R = V^{K}, and,

 G is the number of elements in the bounded class.
Notes[edit]
 ↑ Must be applied initially to each characteristic. (The equations have been implemented in Mathcad and using the Visual Basic programming language. See Application_Example