injective map meaning in Hindi

Examples

1. The space of injective maps is invariant and acts freely on it.
2. Define a map of into by sending to the injective map ( | ).
3. This is not an injective map, as for example every integer is mapped to 0.
4. The embedding I _ K \ hookrightarrow I _ L induces an injective map on the idele class groups:
5. The space of injective maps with isotropic image, i . e . ? vanishes on the image, is invariant.
6. When an element is chosen ( often implicitly ) in each equivalence class, this defines an injective map called a " section ".
7. For subsets of Polish spaces, Borel sets can be characterized as those sets which are the ranges of continuous injective maps defined on Polish spaces.
8. In the dual point of view, an injective map corresponds to a surjection of sheaves, and a surjective map corresponds to an injection of sheaves.
9. By a different injective map we could then consider the DLP in the additive group \ mathbb { F } _ q instead of DLP on the Jacobian.
10. Sub-and quotient groups are related in the following way : a subset " H " of " G " can be seen as an injective map, i . e . any element of the target has at most one image of group homomorphisms and the first isomorphism theorem address this phenomenon.