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The Magical Number Seven, Plus or Minus Two: Some Limits on Our Capacity for Processing Information" [1] is one of the most highly cited papers in psychology. [2] [3] [4] It was written by the cognitive psychologist George A. Miller of Harvard University's Department of Psychology and published in 1956 in Psychological Review.
George A. Miller suggested that the capacity of the short-term memory storage is about seven items plus or minus two, also known as the magic number 7, [2] but this number has been shown to be subject to numerous variability, including the size, similarity, and other properties of the chunks. [3]
The number of positive real roots is at most the number of sign changes in the sequence of polynomial's coefficients (omitting zero coefficients), and the difference between the root count and the sign change count is always even. In particular, when the number of sign changes is zero or one, then there are exactly zero or one positive roots.
The Miller's law used in psychology is the observation, also by George Armitage Miller, that the number of objects the average person can hold in working memory is about seven. [4] It was put forward in a 1956 edition of Psychological Review in a paper titled "The Magical Number Seven, Plus or Minus Two". [5] [6] [7]
I'm not sure it's so irrelevant. It's just another name for the same concept. I actually knew the term 'hrair limit' (which is more concise anyway) than 'magical number seven plus or minus two.' joe conflo 20:37, 23 March 2008 (UTC) It isn't the same concept. 7+/-2 is an observed limitation strictly applicable to human short-term memory.
Rule of seven may refer to "The Magical Number Seven, Plus or Minus Two", a highly cited paper in psychology; The "half-your-age-plus-seven" rule; Rule of sevens, establishing age brackets for determining capacity to give informed assent or to commit crimes or torts
This has been generalized by Budan's theorem (1807), into a similar result for the real roots in a half-open interval (a, b]: If f(x) is a polynomial, and v is the difference between of the numbers of sign variations of the sequences of the coefficients of f(x + a) and f(x + b), then v minus the number of real roots in the interval, counted ...
This is illustrated by Wilkinson's polynomial: the roots of this polynomial of degree 20 are the 20 first positive integers; changing the last bit of the 32-bit representation of one of its coefficient (equal to –210) produces a polynomial with only 10 real roots and 10 complex roots with imaginary parts larger than 0.6.