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Rectification of sets in Euclidean spaces

✍ Scribed by Alexander A. Zykov

Publisher
Springer
Year
1993
Tongue
English
Weight
450 KB
Volume
47
Category
Article
ISSN
0046-5755

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Let 0 < r R and A be a subset of the n-dimensional Euclidean space E n , which is contained in B(x 0 , R) and contains points x 0 , x 0 + re 1 , . . . , x 0 + re n , where the vectors {e i } n i=1 are orthonormal. We show that if f : A β†’ E n is an -isometry, then there is an affine isometry U such t