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Criteria of smoothness

The main purpose of this paper is to consider what is meant by ‘smooth’, or rather what has been achieved in the past by the process of producing tables which have been regarded as smooth. There is a risk, which must be mentioned early, of the arguments going round in circles. In answering the question ‘What is smooth?’ we look at what has been done to produce smoothness, we follow certain smoothing processes, we look at various orders of differences, and we come back to the original question.

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