Let $\R$ be the field of real numbers.
Let $n\geq 0$ be a natural number.
That is, it is a finite sequence $a : \left[0 \,.\,.\, n\right] \to \Z$ with $a_n > 0$ for $n >0$.
Also known as
A simple finite continued fraction can be abbreviated SFCF. It is also known as a regular finite continued fraction.
- Definition:Value of Finite Continued Fraction
- Definition:Infinite Simple Continued Fraction
- Correspondence between Rational Numbers and Simple Finite Continued Fractions
- Weisstein, Eric W. "Simple Continued Fraction." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/SimpleContinuedFraction.html
- 1963: C.D. Olds: Continued fractions: $\S$ $1.2$: Definitions and Notation