Arithmetic With... Continued Fractions??

Описание: Arithmetic! On continued fractions! It's possible, but not well known or widely used in practice. This video explores the basics of this underappreciated area of math.

This is my submission for SoME2 (   • Summer of Math Exposition 2 Invitation  )

SOURCES & FURTHER READING:

Continued Fraction Arithmetic (1977)
Speculatively Redundant Continued Logarithm Representation (2010)
Finite Precision Number Systems Arithmetic (2010)
CONTINUED FRACTIONS FOR HIGH-SPEED AND HIGH-ACCURACY COMPUTER ARITHMETIC (1983)
Hardware Implementation of Continued Logarithm Arithmetic (2006)
Exact Arithmetic on the Stern-Brocot Tree (2003)
Continued Logarithms And Associated Continued Fractions (2016)
Generalized Continued Logarithms and Related Continued Fractions (2017)
High-Precision Arithmetic and Mathematical Physics (2015)