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

Réjean Plamondon, Chunhua Feng, Anna Woch

Technical Report (2001)

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Abstract

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.

Uncontrolled Keywords

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

PolyPublie URL: https://publications.polymtl.ca/9492/
Report number: EPM-RT-2001-05
Date Deposited: 22 Nov 2021 16:36
Last Modified: 11 Nov 2022 14:31
Cite in APA 7: Plamondon, R., Feng, C., & Woch, A. (2001). A kinematic theory of rapid human movements : part IV : a formal mathematical proof and new insights (Technical Report n° EPM-RT-2001-05). https://publications.polymtl.ca/9492/

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