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Optimization models for the force and energy in competitive sports
Author(s) -
Behncke Horst,
Brosowski B.
Publication year - 1987
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670090123
Subject(s) - mathematics , principal (computer security) , energy (signal processing) , mathematical economics , statistics , computer science , operating system
A general optimal control model for running and swimming is developed, whose principal parameters are the energy reserves, the breathing rate and the force. This model is then applied to the world records in these disciplines. It describes the data very well and the parameters employed have values, which agree closely with those obtained by other means.