percentage, and frequency rank r. (Note that a higher frequency rank means a word that occurs less often.) The relationship is f = cr-1, where c is a constant. (a) Use the frequency information given for "the" to determine the value of c. C = (b) The third most common English word is "and." According to Zipf's law, what is the frequency of this word in a typical English text? Round your answer to one decimal place. %

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Chapter2: Second-order Linear Odes
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The linguist George Kingsley Zipf (1902-1950) proposed a law that bears his
name. In a typical English text, the most commonly occurring word is "the."
We say that its frequency rank r is 1. The frequency f of occurrence of "the" is
about f= 7%. That is, in a typical English text, the word "the" accounts for
about 7 out of 100 occurrences of words. The second most common word is
"of," so it has a frequency rank of r= 2. Its frequency of occurrence is f= 3.5%.
Zipf's law gives a power relationship between frequency of occurrence f, as a
%3D
percentage, and frequency rank r. (Note that a higher frequency rank means
a word that occurs less often.) The relationship is
f = cr-1,
where c is a constant.
(a) Use the frequency information given for "the" to determine the value
of c.
C =
(b) The third most common English word is "and." According to Zipf's
law, what is the frequency of this word in a typical English text? Round
your answer to one decimal place.
Transcribed Image Text:The linguist George Kingsley Zipf (1902-1950) proposed a law that bears his name. In a typical English text, the most commonly occurring word is "the." We say that its frequency rank r is 1. The frequency f of occurrence of "the" is about f= 7%. That is, in a typical English text, the word "the" accounts for about 7 out of 100 occurrences of words. The second most common word is "of," so it has a frequency rank of r= 2. Its frequency of occurrence is f= 3.5%. Zipf's law gives a power relationship between frequency of occurrence f, as a %3D percentage, and frequency rank r. (Note that a higher frequency rank means a word that occurs less often.) The relationship is f = cr-1, where c is a constant. (a) Use the frequency information given for "the" to determine the value of c. C = (b) The third most common English word is "and." According to Zipf's law, what is the frequency of this word in a typical English text? Round your answer to one decimal place.
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