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About the discriminant. (Ueber die Discriminante.) (German) JFM 09.0059.02
Beweis des Satzes, dass die Discriminante einer algebraischen Gleichung mit reellen Coefficienten negativ ist, wenn die Anzahl der complexen Wurzelpaare ungrade ist, dagegen positiv, wenn diese Zahl grade ist. Ferner wird eine Methode angegeben, um, wenn die Discriminante zerfällt, den Grad der Vielfachheit der einzalnen Factoren zu bestimmen.
Reviewer: Lüroth, Prof. (Carlsruhe)
12E12Algebraic equations
12D10Algebraic theorems of location of zeros of polynomials over R or C
30C15Zeros of polynomials, etc. (one complex variable)
Full Text: DOI Link EuDML