# denominators

Noun

- plural form of
*denominator*

- ï¿½; the successive terms of this series, after the first, are alternately positive and negative, and consist of fractions with numerators I and
**denominators**continually increasing. - " 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. - He extended the "law of continuity" as stated by Johannes Kepler; regarded the
**denominators**of fractions as powers with negative exponents; and deduced from the quadrature of the parabola y=xm, where m is a positive integer, the area of the curves when m is negative or fractional. - 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. - - The numerators and
**denominators**of the convergents to the general continued fraction both satisfy the difference equation un =anu„_,+bnun_2.

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