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

Stefan Corneliu Stefanescu; Virgil Craiu

Pubblicato

1987-07-01

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

Parole chiave:

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

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Autori

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.

Come citare

APA

Stefanescu, S. C. e 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. e Craiu, V. 1987. Generating uniformly distributed points in a sphere of norm || ||p in Rn. Revista Colombiana de Matemáticas. 21, 2-4 (lug. 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 mar. 2025.

Chicago

Stefanescu, Stefan Corneliu, e 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. e Craiu, V. (1987) «Generating uniformly distributed points in a sphere of norm || ||p in Rn», Revista Colombiana de Matemáticas, 21(2-4), pagg. 187–200. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33027 (Consultato: 10 marzo 2025).

IEEE

[1]

S. C. Stefanescu e V. Craiu, «Generating uniformly distributed points in a sphere of norm || ||p in Rn», rev.colomb.mat, vol. 21, n. 2-4, pagg. 187–200, lug. 1987.

MLA

Stefanescu, S. C., e V. Craiu. «Generating uniformly distributed points in a sphere of norm || ||p in Rn». Revista Colombiana de Matemáticas, vol. 21, n. 2-4, luglio 1987, pagg. 187-00, https://revistas.unal.edu.co/index.php/recolma/article/view/33027.

Turabian

Stefanescu, Stefan Corneliu, e Virgil Craiu. «Generating uniformly distributed points in a sphere of norm || ||p in Rn». Revista Colombiana de Matemáticas 21, no. 2-4 (luglio 1, 1987): 187–200. Consultato marzo 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 luglio 1987 [citato 10 marzo 2025];21(2-4):187-200. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33027