Category:Definitions/Continued Fractions

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This category contains definitions related to Continued Fractions.
Related results can be found in Category:Continued Fractions.

Let $n \ge 0$ be a natural number.

Informally, a finite continued fraction of length $n$ in $F$ is an expression of the form:

$a_0 + \cfrac 1 {a_1 + \cfrac 1 {a_2 + \cfrac 1 {\ddots \cfrac {} {a_{n - 1} + \cfrac 1 {a_n} } } } }$

where $a_0, a_1, a_2, \ldots, a_n \in F$.

Formally, a finite continued fraction of length $n$ in $F$ is a finite sequence, called sequence of partial denominators, whose domain is the integer interval $\closedint 0 n$.

A finite continued fraction should not be confused with its value, when it exists.


This category has the following 2 subcategories, out of 2 total.

Pages in category "Definitions/Continued Fractions"

The following 65 pages are in this category, out of 65 total.