Generating uniformly distributed points in a sphere of norm  ||   ||p in Rn

Stefan Corneliu Stefanescu; Virgil Craiu

Veröffentlicht

1987-07-01

Generating uniformly distributed points in a sphere of norm || ||p in Rn

Schlagworte:

Algorithm, sphere in the space, Euclidean norm (es)

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Autor/innen

Stefan Corneliu Stefanescu University of Bucharest
Virgil Craiu University of Bucharest

Abstract (es)

In this paper an efficient algorithm is given for generating uniformly distributed points in a sphere in the space Rn with norm I II p' A way is suggested for generating ~niformly distributed points in a general sphere of norm I I(C). or in the intersection of such domains in JR~. and uni~ormly distributed points on the surface of the Euclidean norm sphere or in a bounded domain of Rn. The classical results are obtained as particular cases.

In this paper an efficient algorithm is given for generating uniformly distributed points in a sphere in the space Rⁿ with norm || ||_p. A way is suggested for generating uniformly distributed points in a general sphere of norm || ||_p(C), or in the intersection of such domains in Rⁿ₊, and uniformly distributed points on the surface of the Euclidean norm sphere or in a bounded domain of Rⁿ. The classical results are obtained as particular cases.

Zitationsvorschlag

APA

Stefanescu, S. C. und Craiu, V. (1987). Generating uniformly distributed points in a sphere of norm || ||p in Rn. Revista Colombiana de Matemáticas, 21(2-4), 187–200. https://revistas.unal.edu.co/index.php/recolma/article/view/33027

ACM

[1]

Stefanescu, S.C. und Craiu, V. 1987. Generating uniformly distributed points in a sphere of norm || ||p in Rn. Revista Colombiana de Matemáticas. 21, 2-4 (Juli 1987), 187–200.

ACS

(1)

Stefanescu, S. C.; Craiu, V. Generating uniformly distributed points in a sphere of norm || ||p in Rn. rev.colomb.mat 1987, 21, 187-200.

ABNT

STEFANESCU, S. C.; CRAIU, V. Generating uniformly distributed points in a sphere of norm || ||p in Rn. Revista Colombiana de Matemáticas, [S. l.], v. 21, n. 2-4, p. 187–200, 1987. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33027. Acesso em: 10 märz. 2025.

Chicago

Stefanescu, Stefan Corneliu, und Virgil Craiu. 1987. „Generating uniformly distributed points in a sphere of norm || ||p in Rn“. Revista Colombiana De Matemáticas 21 (2-4):187-200. https://revistas.unal.edu.co/index.php/recolma/article/view/33027.

Harvard

Stefanescu, S. C. und Craiu, V. (1987) „Generating uniformly distributed points in a sphere of norm || ||p in Rn“, Revista Colombiana de Matemáticas, 21(2-4), S. 187–200. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/33027 (Zugegriffen: 10 März 2025).

IEEE

[1]

S. C. Stefanescu und V. Craiu, „Generating uniformly distributed points in a sphere of norm || ||p in Rn“, rev.colomb.mat, Bd. 21, Nr. 2-4, S. 187–200, Juli 1987.

MLA

Stefanescu, S. C., und V. Craiu. „Generating uniformly distributed points in a sphere of norm || ||p in Rn“. Revista Colombiana de Matemáticas, Bd. 21, Nr. 2-4, Juli 1987, S. 187-00, https://revistas.unal.edu.co/index.php/recolma/article/view/33027.

Turabian

Stefanescu, Stefan Corneliu, und Virgil Craiu. „Generating uniformly distributed points in a sphere of norm || ||p in Rn“. Revista Colombiana de Matemáticas 21, no. 2-4 (Juli 1, 1987): 187–200. Zugegriffen März 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33027.

Vancouver

1.

Stefanescu SC, Craiu V. Generating uniformly distributed points in a sphere of norm || ||p in Rn. rev.colomb.mat [Internet]. 1. Juli 1987 [zitiert 10. März 2025];21(2-4):187-200. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/33027