A kinematic theory of rapid human movements : part IV : a formal mathematical proof and new insights

The [delta-lambda] model as a representation of two-systems synergy -- The proportionate effect in the response process and the meaning of the parameters t[omicron] and T[omicron] -- A formal mathematical proof -- Definitions regarding the fourier transform -- Repeated convultion -- The additivity of time delays and response times for a cascade of linear systems -- The application of convultion and the fourier transform in the [delta-lambda] model -- The meaning of some parameters -- The command amplitudes Di -- Some specific timing properties of lognormal impulse response -- Interpretation of the parameters [mu and o] -- The [delta-lambda] function as a tool for movement analysis.

Mots clés

Human mechanics -- Mathematical models; Lognormal distribution; Mécanique humaine -- Modèles mathématiques; Distribution lognormale