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The anomaly of convex bodies

Published online by Cambridge University Press:  24 October 2008

R. A. Rankin
R. A. Rankin
Affiliation:
The UniversityBirmingham 15
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Extract

I write X for the point (x1, x2, …, xn) of n-dimensional Euclidean space Rn. The coordinates x1, x2, …, xn are real numbers. The origin (0, 0,…, 0) is denoted by O. If t is a real number, tX denotes the point (tx1, tx2, …, txn); in particular, − X is the point (−x1, −x2,…, −xn). Also X + Y denotes the point {x1 + y1, x2 + y2, …, xn + yn).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 1 , January 1953 , pp. 54 - 58
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

REFERENCES

(1)Chabauty, C.Sur les minima arithmétiques des formes. Ann. sci. Éc. norm. sup. Paris (3), 66 (1949), 367–94.CrossRefGoogle Scholar
(2)Rankin, R. A.A problem concerning three-dimensional convex bodies. Proc. Camb. phil. Soc. 49 (1953),CrossRefGoogle Scholar
(3)Rogers, C. A.The product of the minima and the determinant of a set. Indag. math. 11 (1949), 71–8.Google Scholar
(4)Rogers, C. A.The successive minima of measurable sets. Proc. Lond. math. Soc. (2), 51 (1950), 440–9.Google Scholar