Fixed increment error correction

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107 exists there is an iterative procedure which will ensure that Q will converge to Q 0 in a finite number of steps ...The iterative procedure is called the fixed increment error correction procedure ...It goes as follows:Qi Qi 1 cD if M Qi 1,D T <0 and D [[propersubset]]A Qi Qi 1 cD if M Qi 1,D T >0 and D [[propersubset]]A and no change made to Qi 1 if it diagnoses correctly ...The situation in actual retrieval is not as simple ...Once again this is not the whole story ...If M is taken to be the cosine function Q,D Q D then it is easy to show that [[Phi]]is maximised by where c is an arbitrary proportionality constant ...
173 It will turn out that the F which is appropriate can be simply transformed into an additive representation ...Explicit measures of effectiveness I shall now argue for a specific form of [[Phi]]i and F,based on a model for the user ...Since we have assumed that effectiveness is determined by precision and recall we have committed ourselves to the importance of proportions of documents rather than absolute numbers ...