Mathematics
# Continued Fractions

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Numbers

find the continued fraction representation of a number

continued fraction 12/67
continued fraction sqrt(2)
continued fraction pi
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Functions

find continued fraction representations of a function

continued fraction sqrt(1+x^2)
continued fraction tan x
continued fractions for BesselJ
hypergeometric cf identities
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Definitions of Terms

find definitions of continued fraction terminology

what is a regular continued fraction
common notations for continued fractions
Gauss-Kuzmin-Wirsing operator
C-dual convergents
What is a modified Stieltjes fraction?
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Theorems

get information about a continued fraction theorem

Worpitzky theorem
Hamburger convergence theorem
Euler-Minding formula
Seidel multiplication theorem
circular convergence theorem
Zaremba conjecture
find theorems that apply to a specified expression

apply continued fraction theorems to sqrt(7)
find theorems by application

cf theorems that hold for regular continued fractions
continued fraction theorems involving almost all real numbers
continued fraction results involving quadratic irrationals
find theorems by prover

Euler's continued fraction theorems
Lagrange's continued fraction theorems
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Algorithms

get information about a continued fraction algorithm

backward algorithm for a continued fraction
nearest integer continued fraction expansion algorithm
Hurwitz continued fraction algorithm
Schmidt algorithm
Jacobi-Perron algorithm
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Literature

find continued fraction papers by author

continued fraction papers by Stern
find continued fraction papers by publication

continued fraction papers published in the Monthly
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Interactive Visualizations

explore continued fraction results with interactive visualizations

Khinchin constant law interactive plot
visualization of Gauss map representation of a continued fraction