Category:Definitions/Simple Continued Fractions
This category contains definitions related to Simple Continued Fractions.
Related results can be found in Category:Simple Continued Fractions.
Let $\R$ be the field of real numbers.
Simple Finite Continued Fraction
Let $n \ge 0$ be a natural number.
A simple finite continued fraction of length $n$ is a finite continued fraction in $\R$ of length $n$ whose partial denominators are integers that are strictly positive, except perhaps the first.
That is, it is a finite sequence $a: \closedint 0 n \to \Z$ with $a_n > 0$ for $n > 0$.
Simple Infinite Continued Fraction
A simple infinite continued fraction is a infinite continued fraction in $\R$ whose partial denominators are integers that are strictly positive, except perhaps the first.
That is, it is a sequence $a: \N_{\ge 0} \to \Z$ with $a_n > 0$ for $n > 0$.
Pages in category "Definitions/Simple Continued Fractions"
The following 11 pages are in this category, out of 11 total.