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

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Theoretical Separation[edit]

The general identification equation[edit]

 S_j = \frac{1-{V^{-j}}}{1-V^{-C}}, where:[1]
  • Sj 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[edit]

 t_{min} =  \frac{\log G}{\log V}, where:[2]
  • tmin 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[edit]

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