Title: Theory / Unimportant / Math / Number Theory / Hardy - Wright{ / 10 Continued fractions
Tags: EquivalentButNoIntermediate addIntermediateCard

Name: A finite continued fraction
Definition: A fraction of the form \(a_0+\frac{1}{a_1+\frac{\dots}{\frac 1{a_N}}}\)
Page: 165
Chapter: 10
Section: 1
Notation: \([a_0,\dots, a_N]\)
Name2: A continued fraction

Name: The partial quotients of
Definition: \(a_0\), to \(a_N\)
Page: 165
Chapter: 10
Section: 1
Variables: a finite continued fraction
Name2: The quotients of

Smaller0: \([a_0,\dots,a_i]\)
Greater0: \([a_0,\dots,a_{i-1}+\frac 1{a_i}]\)
Page: 165
Chapter: 10
Section: 1
Variables: a finite continued fraction
Smaller to greater: =
Smallest: \([a_0,\dots,a_j,[a_{j+1},\dots,a_i]]\)
Intermediate: \(a_0+\frac1{[a_1,\dots,a_i]}\)