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Mr. Bell a...
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Johndcook

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Mr. Bell and Bell numbers

  • The Bell numbers, also known as the exponential numbers, were studied extensively by mathematician Eric Temple Bell.
  • The Bell numbers are obtained by extracting the factors and altering the denominators of the power series for exp(exp(x)).
  • Bell numbers have various applications, including determining the number of ways to partition a set of labeled items and representing moments of a Poisson random variable.
  • Bell's triangle, similar to Pascal's triangle, can also be created to generate the Bell numbers.

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