Certain isometries on Rn
نویسندگان
چکیده
منابع مشابه
ISOMETRIES OF Rn
An isometry of Rn is a function h : Rn → Rn that preserves the distance between vectors: ||h(v)− h(w)|| = ||v − w|| for all v and w in Rn, where ||(x1, . . . , xn)|| = √ x1 + · · ·+ xn. Example 1.1. The identity transformation: id(v) = v for all v ∈ Rn. Example 1.2. Negation: − id(v) = −v for all v ∈ Rn. Example 1.3. Translation: fixing u ∈ Rn, let tu(v) = v + u. Easily ||tu(v) − tu(w)|| = ||v ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1992
ISSN: 0024-3795
DOI: 10.1016/0024-3795(92)90241-2