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Partial Quotient

If the Simple Continued Fraction of a Real Number $x$ is given by

\begin{displaymath}
x = a_0+{1\over{\strut\displaystyle a_1+{\strut\displaystyle...
...{\strut\displaystyle 1\over\strut\displaystyle a_3+\ldots}}}},
\end{displaymath}

then the quantities $a_i$ are called partial quotients.

See also Continued Fraction, Convergent, Simple Continued Fraction




© 1996-9 Eric W. Weisstein
1999-05-26