uniform continuity sentence in Hindi

Examples

1. For a function between metric spaces, uniform continuity implies Cauchy continuity.
2. The uniform limit theorem also holds if continuity is replaced by uniform continuity.
3. Thus one may speak of uniform continuity, uniform convergence, and Cauchy sequences.
4. We may now show that this \ delta works for the definition of uniform continuity.
5. For linear transformations f : V \ to W, uniform continuity is equivalent to continuity.
6. Thus, the squaring function is not uniformly continuous, according to the definition in uniform continuity above.
7. By uniform continuity it follows that the diameter of ? " n " tends to 0.
8. The uniform structures allow one to talk about notions such as uniform continuity and uniform convergence on topological groups.
9. The approximation follows easily from uniform continuity but being SIMPLE ( injective ) is difficult for me to handle.
10. Uniform spaces do not introduce distances, but still allow one to use uniform continuity, Cauchy sequences, completeness and completion.