The roots of a polynomial depend continuously on its coefficients
Palabras clave:
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.
Cómo citar
APA
Naulin, R. y 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. y Pabst, C. 1994. The roots of a polynomial depend continuously on its coefficients. Revista Colombiana de Matemáticas. 28, 1 (ene. 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: 25 abr. 2024.
Chicago
Naulin, Raúl, y 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. y Pabst, C. (1994) «The roots of a polynomial depend continuously on its coefficients», Revista Colombiana de Matemáticas, 28(1), pp. 35–37. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33465 (Accedido: 25 abril 2024).
IEEE
[1]
R. Naulin y C. Pabst, «The roots of a polynomial depend continuously on its coefficients», rev.colomb.mat, vol. 28, n.º 1, pp. 35–37, ene. 1994.
MLA
Naulin, R., y C. Pabst. «The roots of a polynomial depend continuously on its coefficients». Revista Colombiana de Matemáticas, vol. 28, n.º 1, enero de 1994, pp. 35-37, https://revistas.unal.edu.co/index.php/recolma/article/view/33465.
Turabian
Naulin, Raúl, y Carlos Pabst. «The roots of a polynomial depend continuously on its coefficients». Revista Colombiana de Matemáticas 28, no. 1 (enero 1, 1994): 35–37. Accedido abril 25, 2024. 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 de enero de 1994 [citado 25 de abril de 2024];28(1):35-7. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33465
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Derechos de autor 1994 Revista Colombiana de Matemáticas
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