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A Property of Polynomials whose Roots are Real

โœ Scribed by le Beau, G. S.


Book ID
120104376
Publisher
Oxford University Press
Year
1921
Tongue
English
Weight
161 KB
Volume
s2-19
Category
Article
ISSN
0024-6115

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Virtual roots of real polynomials
โœ Laureano Gonzalez-Vega; Henri Lombardi; Louis Mahรฉ ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 888 KB

The fact that a real univariate polynomial misses some real roots is usually overcome by considering complex roots, but the price to pay for, is a complete loss of the sign structure that a set of real roots is endowed with (mutual position on the line, signs of the derivatives, etc.). In this paper