Definition:Partial Quotient

Definition
Let:
 * $a_1 + \cfrac 1 {a_2 + \cfrac 1 {a_3 + \cfrac 1 {\ddots \cfrac {} {a_{n-1} + \cfrac 1 {a_n + \cfrac 1 {\ddots}}} }}}$

be a continued fraction, either finite or infinite.

The numbers $a_1, a_2, a_3, \ldots$ are called the partial quotients of the continued fraction.

Also known as
A partial quotient is also known as a partial denominator, particularly when the continued fraction in question is a general continued fraction.