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Found 118 Documents (Results 1–100)

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Zimmermann, W.

On the continued fraction expansion of a function which is defined by the differential equation \(M\frac {dy}{dx}+Ny+Py^2+Q=0\), where \(M,N,P,Q\) are entire rational functions. (Ueber die Kettenbruch-Entwickelung einer Function, welche durch die Differentialgleichung \(M\frac {dy}{dx}+Ny+Py^2+Q=0\), wo \(M,N,P,Q\) ganze rationale Functionen sind, definirt ist.) (Russian) JFM 22.0226.02

Odessa Ges. X. 1-140 (1890).
MSC:  30B70 34A05
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Carrara, B.

The coincidence of the approximation methods of Newton and Lagrange for irrational square roots of natural numbers. (La coincidenza dei due metodi d’approssimazione di Newton e Lagrange nelle radici quadrate irrazionali dei numeri interi.) (Italian) JFM 21.0196.02

Torino. Paravia. 30 S. (Siehe auch eine spätere Note des Verfassers mit gleichem Titel in Batt. G. XXVIII. 39-42.) (1889).
Reviewer: Vivanti, Dr. (Mantua)
MSC:  11A55 11Y65
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Sylvester, J. J.

On the complete connection between the continued fractions which express the two roots of a quadratic equation with rational coefficients. (Sur la correspondance complète entre les fractions continues qui expriment les deux racines d’une équation quadratique dont les coefficients sont des nombres rationnels.) (French) JFM 21.0193.01

C. R. CVIII, 1037-1041 (1889); C. R. CVIII, 1084-1086 (1889).
Reviewer: Müller, R., Dr. (Berlin)
MSC:  11A55
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