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 ris requency fof 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 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 percentage, and frequency rank r. hat a higher frequency rank means a word that occurs less often.) The relationship is vhere c is a constant. (a) Use the frequency information given for "the" to determine the value of c. C- 0.07 (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.
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 ris requency fof 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 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 percentage, and frequency rank r. hat a higher frequency rank means a word that occurs less often.) The relationship is vhere c is a constant. (a) Use the frequency information given for "the" to determine the value of c. C- 0.07 (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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 rankris 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 percentage, and frequency rank r. (Note
that a higher frequency rank means a word that occurs less often.) The relationship is
f = c,
where c is a constant.
(a) Use the frequency information given for "the" to determine the value of c.
C= 0.07
(6) 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 answier to one decimal place.
2
x %
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