isometry in a sentence

Examples

1. The local isometry constraint prevents the objective function from going to infinity.
2. The concept of partial isometry can be defined in other equivalent ways.
3. This is clarifying when categorizing isometry groups, see below.
4. This map is an isometry, so it is continuous.
5. Wold decomposition characterizes proper isometries acting on a Hilbert space.
6. The proof is easy if one assumes the classification of plane isometries.
7. Usually one takes G to be the full isometry group of X.
8. An isometry exists between the Hilbert spaces associated with these two kernels:
9. Every metric space has a unique ( up to isometry ) dense subset.
10. A partially defined isometric operator with closed domain is called a partial isometry.