Sentence examples for in the continued fraction from inspiring English sources

Both hydrostatic and wet mapping functions are expressed by the coefficients { a, b, c} given in the continued fraction form of Herring (1992).

He also converted Wallis' result (8) into the continued fraction π = 4 1 + 1 2 + 9 2 + 25 2 + ⋯. (13).

In general, the continued fraction method could provide a better approximation than others, and has less numerical computations.

As each successive term is added, the continued fraction converges towards a single value.

Qin gave an algorithm for this, using a sequence of quotients in searching for the greatest common divisor of a and b, which is also the sequence of convergents for the continued fraction for b/a.

where is the th approximant of the continued fraction (1.1).

(1.4). is a sequence of convergents of the continued fraction.

Laplace gave many of the essential results, like the continued fraction and the asymptotic expansion.

Since (g(boldsymbol {y}) =frac {1}{2} +frac {1}{2}z_{1}), we obtain the continued fraction expansion (3.12).

The aim of this paper is to establish new inequalities for the Euler-Mascheroni constant by the continued fraction method.

We recall that q was chosen as the denominator of a convergent to the continued fraction for (lambda_{1}/lambda_{2}).