bijection in a sentence

Examples

1. The mapping a \ mapsto \ delta _ a is a bijection between and this canonical basis.
2. The bijection that you mention would be given by for all; so your logic is correct.
3. Any set that can be put into bijection with a group becomes a group via the bijection.
4. Any set that can be put into bijection with a group becomes a group via the bijection.
5. The above bijection is given by pullback of that element  f \ mapsto f ^ * u.
6. Then, the " inner condition " requires a bijection property from endomorphisms also to arrays.
7. Once you know that you cannot have continuity, here is an easy way to get the bijection.
8. Furthermore,, is a bi-analytic bijection from a neighborhood of in to a neighborhood of.
9. Let be an orthonormal basis for, and let \ phi : F \ to B be a bijection.
10. Under this convention all functions are surjections, and so, being a bijection simply means being an injection.