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Volumn 38, Issue 1-4, 2002, Pages 73-77

A note on Sylvester's four-point problem

Author keywords

Convex sets; Random points in convex position; Random sample

Indexed keywords


EID: 0041414903     PISSN: 00816906     EISSN: None     Source Type: Journal    
DOI: 10.1556/sscmath.38.2001.1-4.5     Document Type: Article
Times cited : (14)

References (10)
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    • Bárány, I.1
  • 2
    • 0009452589 scopus 로고
    • On the shape of the convex hull of random points
    • MR 89g:60030
    • BÁRÁNY I. and FÜREDI, Z., On the shape of the convex hull of random points, Probab. Theory Related Fields 77 (1988), 231-240. MR 89g:60030
    • (1988) Probab. Theory Related Fields , vol.77 , pp. 231-240
    • Bárány, I.1    Füredi, Z.2
  • 3
    • 0037946210 scopus 로고
    • Über affine Geometrie XI: Lösung des "Vierpunktproblems" von Sylvester aus der Theorie der geometrichen Wahrscheinlichkeiten
    • JFM 46.0764.02
    • BLASCHKE W., Über affine Geometrie XI: Lösung des "Vierpunktproblems" von Sylvester aus der Theorie der geometrichen Wahrscheinlichkeiten, Leipz. Ber. 69 (1917), 436-453. JFM 46.0764.02
    • (1917) Leipz. Ber. , vol.69 , pp. 436-453
    • Blaschke, W.1
  • 4
    • 0003795688 scopus 로고
    • ε-entropy of convex sets and functions
    • (in Russian). MR 54 #3246
    • BRONSTEIN, E. M., ε-entropy of convex sets and functions, Sibirsk. Math. Z. 17 (1976), 508-514 (in Russian). MR 54 #3246
    • (1976) Sibirsk. Math. Z. , vol.17 , pp. 508-514
    • Bronstein, E.M.1
  • 5
    • 0009342434 scopus 로고
    • On a conjecture of R. E. Miles about the convex hull of random points
    • MR 88f:60016
    • BUCHTA, C., On a conjecture of R. E. Miles about the convex hull of random points, Monatsh. Math. 102 (1986), 91-102. MR 88f:60016
    • (1986) Monatsh. Math. , vol.102 , pp. 91-102
    • Buchta, C.1
  • 6
    • 0038838911 scopus 로고
    • Sur les probabilités géométriques
    • (Publ. Fac. Sci. Univ. Brno), 26 p. JFM 51.0400.01
    • HOSTINSKY, B., Sur les probabilités géométriques, Spisy Brno (Publ. Fac. Sci. Univ. Brno), Nr. 50 (1925), 26 p. JFM 51.0400.01
    • (1925) Spisy Brno , Issue.50
    • Hostinsky, B.1
  • 7
    • 0001178214 scopus 로고
    • Isotropic random simplices
    • MR 46 #8274
    • MILES, R. E., Isotropic random simplices, Advances in Appl. Probability 3 (1971), 353-382. MR 46 #8274
    • (1971) Advances in Appl. Probability , vol.3 , pp. 353-382
    • Miles, R.E.1
  • 8
    • 0001888582 scopus 로고
    • Über die konvexe Hülle von n zufällig gewählten Punkten
    • MA 27 #6190
    • RÉNYI, A. and SULANKE, R., Über die konvexe Hülle von n zufällig gewählten Punkten, Z. Wahrsch. Verw. Gebiete 2 (1963), 75-84. MA 27 #6190
    • (1963) Z. Wahrsch. Verw. Gebiete , vol.2 , pp. 75-84
    • Rényi, A.1    Sulanke, R.2
  • 10
    • 0002326139 scopus 로고
    • Stochastic geometry
    • North-Holland, Amsterdam. MR 95a:60014
    • WEIL, W and WIEACKER, J. A., Stochastic geometry, Handbook of convex geometry, North-Holland, Amsterdam, 1993, 1391-1438. MR 95a:60014
    • (1993) Handbook of Convex Geometry , pp. 1391-1438
    • Weil, W.1    Wieacker, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.