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Partial Numerator

The nth partial numerator in a generalized continued fraction

b_0+K_(n=1)^infty(a_n)/(b_n)

is the expression a_n. For a simple continued fraction

b_0+K_(n=1)^infty1/(b_n),

the partial numerators are all unity: a_n=1.

See also

Continued Fraction, Convergent, Generalized Continued Fraction, Partial Denominator, Simple Continued Fraction

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Cite this as:

Weisstein, Eric W. "Partial Numerator." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PartialNumerator.html

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