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Which of the following law is related with "author productivity" ?

  • A.Law of Scattering
  • B.Law of Least Efforts
  • C.Law of Inverse Square
  • D.Price Square Root Law

Answer: C

The law of author productivity in the key is the Law of Inverse Square, that is, Lotka's law.

Alfred Lotka (1926) found that the number of authors making \(n\) contributions is about \(1/n^{2}\) of the number making one: if 100 authors write one paper each, about 25 write two, about 11 write three, and so on. This inverse square law is the classic law of scientific productivity of authors.

Bradford's law of scattering describes how articles on a subject are spread over journals, and Zipf's principle of least effort describes word frequencies. Price's square root law, that half the papers come from the square root of the number of authors, also concerns authors, but it is a later corollary; the textbook answer, which the key follows, is Lotka's inverse square law.

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