isometry การใช้

• This defines an isometry onto a dense subspace, as required.
• The corresponding map is an isometry but in general not onto.
• Clearly, every isometry between metric spaces is a topological embedding.
• The inverse of a global isometry is also a global isometry.
• The inverse of a global isometry is also a global isometry.
• Note that ?-isometries are not assumed to be continuous.
• It was spurred by the 1987 monograph of quasi-isometry.
• Accordingly, analysis of isometry groups is analysis of possible symmetries.
• Many physical symmetries are isometries and are specified by symmetry groups.
• Thus all sets of Kraus operators are related by partial isometries.
• A distance-preserving diffeomorphism between Riemannian manifolds is called an isometry.
• A second straightforward construction of the icosahedron uses isometries on the icosahedron.
• Note that a quasi-isometry is not required to be continuous.
• See also fixed points of isometry groups in Euclidean space.
• The 2-4 tree isometry was described in 1978 by Sedgewick.
• Apply first an isometry sending these directions to the coordinate axes of.
• This shift operator is an isometry, therefore bounded below by 1.
• Like any other bijection, a global isometry has a function inverse.
• Every isometry group of a metric space is a subgroup of isometries.
• Every isometry group of a metric space is a subgroup of isometries.