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Charleston College computer scientist Bill Manaris led a small group of researchers that counted note usage over a range of composers and works, and discovered a basic power law structure.
The subject is Shakespeare, a favored focus of the question of attribution. But, other art forms have natural numbers too. What is not guaranteed, and hence is surprising, is that out of these numbers, patterns emerge, both on the scale of society, as well as the individual. Some approaches focus on aspects of predictability-using the empirical likelihood that one word is followed by another. Letters, words, sentences and so on, can be counted and basic statistics can be gathered: How often is a given word used What is the distribution of word length What is the distribution of sentence length etc. Zipf published his analysis in an amazing book titled Human Behavior and the Principle of Least Effort, which derives its name from the basic argument that predicts the Zipfian discovery: Imagine any author as a chance-driven machine in which at each step a coin is tossed-if it lands heads up, then a previously used word is chosen at random, while if it lands tails up, then a new word is written down. Books, essays, any sort of written output, present a numerical collection, containing all kinds of primary data. These ideas were first proposed in the early s by the Russian mathematician A. One of the most striking results in the field is the discovery that there are certain patterns of usage that seem to be simply intrinsic to the act of communication. The Bears play the Oakland Raiders Snag Fred Davis from Washington Redskins? Would the Adrian Peterson Overpay for Jake Long. Mendenhall tries to distinguish between Francis Bacon and William Shakespeare according to their relative use of four-letter words. De Morgan was in many respects ahead of his time, especially as regards to what appears to have been a broad-based investigation of the power and possibility of the formalization of thought. Avoid leaving your Vernis monogram on the bags, a word they are not. The idea that mathematics might be useful for determining authorship is usually attributed to the 19th-century British mathematician Augustus de Morgan.