Rational Number - Continued Fraction Representation

Continued Fraction Representation

A finite continued fraction is an expression such as

where ai are integers. Every rational number a/b has two closely related expressions as a finite continued fraction, whose coefficients ai can be determined by applying the Euclidean algorithm to (a,b).

Read more about this topic:  Rational Number

Famous quotes containing the words continued and/or fraction:

    The Sound of battle fell upon my ear & heart all day yesterday—even after dark the cannon’s insatiate roar continued ...
    Elizabeth Blair Lee (1818–?)

    The visual is sorely undervalued in modern scholarship. Art history has attained only a fraction of the conceptual sophistication of literary criticism.... Drunk with self-love, criticism has hugely overestimated the centrality of language to western culture. It has failed to see the electrifying sign language of images.
    Camille Paglia (b. 1947)