Inference from Inadequate and Inaccurate Data, III.

@article{Backus1970InferenceFI,
title={Inference from Inadequate and Inaccurate Data, III.},
author={George Backus},
journal={Proceedings of the National Academy of Sciences of the United States of America},
year={1970},
volume={67 1},
pages={282-9}
}

Having measured D numerical properties of a physical object E which requires many more than D parameters for its complete description, we want to estimate P other numerical properties of E. Continuing the discussion in papers I(1) and II,(2) the present paper gives estimates when we believe it likely that we can guess an upper bound M on the Hilbert norm not of h(E), the model representing E in some Hilbert space, but of the orthogonal projection of h(E) onto a sufficiently large subspace. In… CONTINUE READING