 | British Association for the Advancement of Science - 1837 - 566 lehte
...of resolving an equation of the form ^ + * + E = 0; ...... (73.) or of this other form, a? — * + E = 0 ....... (74.) It is, however, important to remark...assumes, in general, an expression with twelve terms, =x = A.' *x' + A" .rx" + A'" **'" (75.) + NV + N" a? + N'" x""' + N'v x'" + Nv x'V > the twelve unequal... | |
 | Johann August Grunert - 1863 - 600 lehte
...Transformation der Gleichungen, über die übrigens schon Hamilton aa O. p. 307. sehr richtig bemerkt hat: „It is, however, important to remark that the coefficients...even when the coefficients of the original equation*) are real." 5.6. Wenden wir jetzt das Vorhergehende auf die Gleichungen des fünften Grades an, so sehen... | |
 | James Joseph Sylvester - 1912 - 812 lehte
...(Report of British Auociation, 1836, p. 307) that " the coefficients of the new or transformed equation will often be imaginary even when the coefficients of the original equation are real." Apparently he was not aware that the criterion for determining when this is so, depends... | |
 | Henry John Stephen Smith, James Whitbread Lee Glaisher - 1894 - 846 lehte
...(Report of British Association, 1836, p. 307) that " the coefficients of the new or transformed equation will often be imaginary even when the coefficients of the original equation are real." Apparently he was not aware that the criterion for determining when this is so, depends... | |
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Apparently he was not aware that the criterion for determining when this is so, depends solely on the intrinsic character of the equation to be transformed. It should have been noticed before that when two of the roots in the given quintic are equal the... 