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A rough formula to measure the liberal style of a passage, adapted to Wiki-style websites, is

A rough formula to measure the liberal style of a passage, adapted to Wiki-style websites, is

::<math>\textrm{Liberality} = C_0 \cdot \frac{\textrm{TalkPst}}{\textrm{MainPst}} + C_1 \cdot \frac{\textrm{TalkWd}}{\textrm{TalkPst}} + C_2 \cdot \left( \lambda \cdot \textrm{LibWd} - \textrm{ConWd} \right) + C_3 \,\textrm{LibPhr}^2 + C_4 \, \textrm{LastWd} </math>,

::<math>\textrm{Liberality} = C_0 \cdot \frac{\textrm{TalkPst}}{\textrm{MainPst}} + C_1 \cdot \frac{\textrm{TalkWd}}{\textrm{TalkPst}} + C_2 \cdot \left( \lambda \cdot \textrm{LibWd} - \textrm{ConWd} \right) + C_3 \,\textrm{LibPhr}^2 + C_4 \, \sqrt{\textrm{LastWdProp}-\frac{1}{2}} </math>,

where:

where:

* MainPst = number of posts to mainspace pages.

* MainPst = number of posts to mainspace pages.

* <math>\lambda</math> = (number of conservative words in reference list)/(number of liberal words in reference list).

* <math>\lambda</math> = (number of conservative words in reference list)/(number of liberal words in reference list).

* LibPhr = number of uses of liberal favorite phrases identified in [[Liberal style]], such as "silence speaks volumes" and "reflects poorly on the site"

* LibPhr = number of uses of liberal favorite phrases identified in [[Liberal style]], such as "silence speaks volumes" and "reflects poorly on the site"

* LastWd = number of instances of last wordism in user's talk page posts.

* LastWdProp = proportion of Talk page discussions in which a user makes the last post in a thread.  Values greater than 1/2 indicative a tendency towards last-wordism.  when the value inside the square root is negative this should be understood as 0.  N.B.: since this number is less than 1, taking the square root serves to ''increase'' the penalty.

Additionally, the <math>C_i</math> are constants which must be determined through careful testing.  For now, we assume that C0 = 3, C1 = 1, C2 = 200, C3 = 400, C4 = 50.  Assuming that all talk page posts by all editors have the same number of ideas on average (but not the same length), the liberality index given above has units words/idea, roughly corresponding to the trait of liberal longwindedness (here the constants must be understood with appropriate units).

Additionally, the <math>C_i</math> are constants which must be determined through careful testing.  For now, we assume that C0 = 3, C1 = 1, C2 = 200, C3 = 400, C4 = 50.  Assuming that all talk page posts by all editors have the same number of ideas on average (but not the same length), the liberality index given above has units words/idea, roughly corresponding to the trait of liberal longwindedness (here the constants must be understood with appropriate units).