Tuesday, August 5, 2008

The longterm yield when 1/2 the effort is put in, or when there is 50% alignment between values and behavior, unfortunately does not follow the reflexive property of mathematics- it does not give you half the potential outcome (a=a): A repeated 1/2 does not give you half, which would result if the relationship were linear (independent) 1/2 x 1, 1/2 x 1, 1/2 x 1...it rather is compounded and follows the following relationship: 1/2 x 1/2 x 1/2...=1/(2y) where y= the number of events in which the fraction applies. Thus, for three instances of half effort, one would yield 1/(2x3) of its potential, or 1/8. While there is no proof that this is indeed the relationship longterm yield follows, it derives support from the logic of momentum where getting back on track from repeated half effort would seem to get progressively harder as the pattern is reinforced.

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