List of Figures

3.1 Log(Frequency) vs. Log(Rank) for the words in Dickens’s A ChristmasCarol.

4.1 Plot of the running estimate of the probability of heads for 50 flips.

4.2 Plot of the running estimate of the probability of heads for 5000 flips.

4.3 Histogram of the proportions of the letter e in 68 Poe short stories based ontable4.l.

4.4 Histogram and best fitting normal curve for the proportions of the letter e in 68 Poe short stories.

4.5 Plot of the number of types versus the number of tokens for “The Unparalleled Adventures of One Hans Pfaall.” Data is from program 4.5.Figure adapted from figure 1.1 of Baayen [61 with kind permission from Springer Science and Business Media and the author.

4.6 Plot of the mean word frequency against the number of tokens for “The Unparalleled Adventures of One Hans Pfaall.” Data is from program 4.5. Figure adapted from figure 1.1 of Baayen [61] with kind permission from Springer Science and Business Media and the author.

4.7 Plot of the mean word frequency against the number of tokens for “The Unparalleled Adventures of One Hans Pfaall” and “The Black Cat.” Figure adapted from figure 1.1 of Baayen [6] with kind permission from Springer Science and Business Media and the author.

5.1 The vector (4,3) makes a right triangle if a line segment perpendicular to the x-axis is drawn to the x-axis.

5.2 Comparing the frequencies of the word the (on the x-axis) against city (on the y-axis). Note that the y-axis is not to scale: it should be more compressed. ...

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