Gaussian brackets are notation published by Gauss in Disquisitiones Arithmeticae
and defined by

(1)

(2)

(3)

(4)

Gaussian brackets are useful for computing simple
continued fractions because

Note that the Gaussian bracket notation corresponds to a different quantity than
that denoted by the more established simple
continued fraction notation

(7)

See also Continued Fraction ,

Regular Continued Fraction ,

Simple Continued
Fraction
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References Fowler, D. H. The Mathematics of Plato's Academy: A New Reconstruction, 2nd ed. Oxford, England:
Oxford University Press, 1999. Herzberger, M. Modern
Geometrical Optics. New York: Interscience Publishers, pp. 457-462,
1958. Referenced on Wolfram|Alpha Gaussian Brackets
Cite this as:
Weisstein, Eric W. "Gaussian Brackets."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/GaussianBrackets.html

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