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Gaussian Brackets


	Given quantities , , …, , the Gaussian bracket is defined as the sum of all following terms: - the product , - all products that omit any pair of terms with consecutive indices, - all products that omit any two pairs of terms, each with consecutive indices, - all products that omit any three pairs of terms, each with consecutive indices, - and so forth, where the empty product has the value 1 if is even.


	Contributed by: Štefan Porubský and Szabolcs Horvát
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This term was actually introduced by Euler, who used the notation

. Euler or Gauss brackets have applications in number theory, combinatorics, etc.

Gaussian Brackets (Wolfram MathWorld)

"Gaussian Brackets" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/GaussianBrackets/

Contributed by: Štefan Porubský and Szabolcs Horvát

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