FromContinuedFraction

FromContinuedFraction[list]

reconstructs a number from the list of its continued fraction terms.

Details

Examples

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Basic Examples  (1)

Scope  (2)

Quadratic irrationals (recurring continued fractions):

Symbolic form:

Compare with the division-based form:

Applications  (2)

Rational approximation to π:

Numbers with simple recurring continued fractions:

Properties & Relations  (1)

Wolfram Research (1999), FromContinuedFraction, Wolfram Language function, https://reference.wolfram.com/language/ref/FromContinuedFraction.html.

Text

Wolfram Research (1999), FromContinuedFraction, Wolfram Language function, https://reference.wolfram.com/language/ref/FromContinuedFraction.html.

CMS

Wolfram Language. 1999. "FromContinuedFraction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FromContinuedFraction.html.

APA

Wolfram Language. (1999). FromContinuedFraction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FromContinuedFraction.html

BibTeX

@misc{reference.wolfram_2025_fromcontinuedfraction, author="Wolfram Research", title="{FromContinuedFraction}", year="1999", howpublished="\url{https://reference.wolfram.com/language/ref/FromContinuedFraction.html}", note=[Accessed: 21-February-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_fromcontinuedfraction, organization={Wolfram Research}, title={FromContinuedFraction}, year={1999}, url={https://reference.wolfram.com/language/ref/FromContinuedFraction.html}, note=[Accessed: 21-February-2025 ]}