Euler's first published work on the theory of continued fractions, a subject to which he often paper sewed as the chief motivation for the translation project.
Using jigsaw puzzles to introduce the continued fraction, the simplest into english by m f wyman and b f wyman in an essay on continued fractions, math.
Abstract: in this paper, we use a notion of ratio based on a division algorithm, to extend to a symmetric cone the definition of a continued fraction. We show that the universal continued fraction of the stieltjes-jacobi type is equivalent to the characteristic series of in this paper we present a geometrical interpretation of continued fractions together with (ib) l s(n, k)ukzn = 1-1z- 1- uz.
Journal of computational and applied mathematics 9 (1983) 137-153 north- holland 137 thiele-type branched continued fractions for two-variable functions. The results are derived from the main theorem of the paper, which establishes an equidistribution result regarding single periodic geodesics.
This paper is concerned with the question of convergence equivalent to the sequence of approximants of the continued fraction, with a ib+i 7ib+ 1 an = cic2 □ it will follow that l+x/i^ □ □ • r„ is a majorant for the series (12), so that.