The roots of a polynomial depend continuously on its coefficients
Schlagworte:
Lexicographic order, metric space, normed space, symmetric functions, roots of a polynomial, Fundamental Theorem of Algebra, continuous dependence on coefficients (es)
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An elementary proof is given of the continuous dependence of the roots of a polynomial on its coefficients.
Zitationsvorschlag
APA
Naulin, R. und Pabst, C. (1994). The roots of a polynomial depend continuously on its coefficients. Revista Colombiana de Matemáticas, 28(1), 35–37. https://revistas.unal.edu.co/index.php/recolma/article/view/33465
ACM
[1]
Naulin, R. und Pabst, C. 1994. The roots of a polynomial depend continuously on its coefficients. Revista Colombiana de Matemáticas. 28, 1 (Jan. 1994), 35–37.
ACS
(1)
Naulin, R.; Pabst, C. The roots of a polynomial depend continuously on its coefficients. rev.colomb.mat 1994, 28, 35-37.
ABNT
NAULIN, R.; PABST, C. The roots of a polynomial depend continuously on its coefficients. Revista Colombiana de Matemáticas, [S. l.], v. 28, n. 1, p. 35–37, 1994. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33465. Acesso em: 10 märz. 2025.
Chicago
Naulin, Raúl, und Carlos Pabst. 1994. „The roots of a polynomial depend continuously on its coefficients“. Revista Colombiana De Matemáticas 28 (1):35-37. https://revistas.unal.edu.co/index.php/recolma/article/view/33465.
Harvard
Naulin, R. und Pabst, C. (1994) „The roots of a polynomial depend continuously on its coefficients“, Revista Colombiana de Matemáticas, 28(1), S. 35–37. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/33465 (Zugegriffen: 10 März 2025).
IEEE
[1]
R. Naulin und C. Pabst, „The roots of a polynomial depend continuously on its coefficients“, rev.colomb.mat, Bd. 28, Nr. 1, S. 35–37, Jan. 1994.
MLA
Naulin, R., und C. Pabst. „The roots of a polynomial depend continuously on its coefficients“. Revista Colombiana de Matemáticas, Bd. 28, Nr. 1, Januar 1994, S. 35-37, https://revistas.unal.edu.co/index.php/recolma/article/view/33465.
Turabian
Naulin, Raúl, und Carlos Pabst. „The roots of a polynomial depend continuously on its coefficients“. Revista Colombiana de Matemáticas 28, no. 1 (Januar 1, 1994): 35–37. Zugegriffen März 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33465.
Vancouver
1.
Naulin R, Pabst C. The roots of a polynomial depend continuously on its coefficients. rev.colomb.mat [Internet]. 1. Januar 1994 [zitiert 10. März 2025];28(1):35-7. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/33465
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