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Analysis and Fitting of Certain Problem Data


The fitting of data that contains problem measurements and the possible improvement in the fits in situations in which the measured quantities satisfy auxiliary differential constraints is discussed. Problem data is defined to include (1) cases in which the data may contain poorly measured quantities but exact constraints must be satisfied and (2) cases in which random external perturbations, such as multiple scattering, may locally violate the constraint equations. Algorithms with a direct physical interpretation are developed that treat these situations. Applications to the measurement of magnetic fields and to detector surveying by using track data will be presented.

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