# numerators

Noun

- plural form of
*numerator*

- In the sexagesimal system the
**numerators**of the successive fractions (the denominators of which were the successive powers of 60) were followed by', ", "', ", the denominator not being written. - - The
**numerators**and denominators of the convergents to the general continued fraction both satisfy the difference equation un =anu„_,+bnun_2. - Their
**numerators**are denoted by Pi, P2, their denominators by q,, q2, q3, We have the relations p n = an pn-1 +bn pn-2, qn = angn-1 +bngn-2. - In fact, a continued fraction ai +a2+ +an+ can be constructed having for the
**numerators**of its successive convergents any assigned quantities pi, P2, P3, - " Now for the interpolation of the rest, I considered that the denominators I, 3, 5, &c., were in arithmetical progression; and that therefore only the numerical coefficients of the
**numerators**were to be investigated.

» more...

- numeration
- numerations
- numerative
- numerator
- numerators

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