Definition:Partial Quotient

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Let $k$ be a field.

Let $\sequence {a_n}_{n \mathop \ge 0}$ be a continued fraction in $k$, either finite or infinite.

Let $n \ge 0$ be a natural number.

The $n$th partial quotient is the $n$th term $a_n$.

Also known as

A partial quotient is also known as a partial denominator, particularly in the case of a general continued fraction.

Also see