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Found 113 Documents (Results 1–100)

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Gundelfinger, S.

Quadratic transformations of the elliptic differential \[ \frac { \varSigma\pm c_1x_2dx_3 } { c_1\frac{\partial f}{\partial x_1}+ c_2\frac{\partial f}{\partial x_2}+ c_3\frac{\partial f}{\partial x_3} } \] on condition that \(f(xxx)=0\). (Quadratische Transformationen des elliptischen Differentials \[ \frac { \varSigma\pm c_1x_2dx_3 } { c_1\frac{\partial f}{\partial x_1}+ c_2\frac{\partial f}{\partial x_2}+ c_3\frac{\partial f}{\partial x_3} } \] unter der Voraussetzung \(f(xxx)=0\).) (German) JFM 06.0083.01

Clebsch Ann. VII, 449-451 (1874).
MSC:  33E05 26A24 26B10 11R11
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\textit{S. Gundelfinger}, Math. Ann. 7, 449--451 (1874; JFM 06.0083.01)
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Fouret

Determining, by basing on the correspondence principle, the solutions number of a system of n algebraic equations with n unknowns. (Détermination, à l’aide du principe de correspondance, du nombre des solutions d’un système de n équations algébriques à \(n\) inconnues.) (French) JFM 06.0079.03

C. R. LXXVIII, 183-186 (1874).
Reviewer: Netto, Dr. (Berlin)
MSC:  12E12 03E30 08B25 15A03 13F20 03F07
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\textit{Fouret}, C. R. Acad. Sci., Paris 78, 183--186 (1874; JFM 06.0079.03)
Full Text: Gallica
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Bauer, Gustav

On decomposing the discriminant of the cubic equation, that determines the principal axes of a \(2^{\text{nd}}\) order surface, into a sum of squares. (Von der Zerlegung der Discriminante der kubischen Gleichung, welche die Hauptaxen einer Fläche \(2^{\text{ter}}\) Ordnung bestimmt, in eine Summe von Quadraten.) (German) JFM 02.0076.01

Borchardt J. LXXI, 40-45 (1870).
Reviewer: Stolz, Prof. Dr. (Innsbruck)
MSC:  12E12 12D15 14J25 15A15 15A04 51N20
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\textit{G. Bauer}, J. Reine Angew. Math. 71, 40--45 (1870; JFM 02.0076.01)
Full Text: DOI Crelle EuDML
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