Sentence examples for bijection between the elements from inspiring English sources

"Suggests" rather than "implies" because the theorem requires the construction of a bijection between the elements of the causal set and the points of the spacetime manifold to be emulated.

Thus, a bijection $F A\to B$ establishes a one-to-one correspondence between the elements of $A$ and those of $B$, and $A$ is bijectable with $B$ if there is such a bijection.

Then $f$ induces a bijection between the sets of connected components of $X$ and $Y$.

A key feature of this development is a geometric map that provides a local bijection between the physical domain and rectangular (cuboidal) parametric domain.

In addition, if R1 and R2 are n×n involutory matrices, then there is a simple bijection between the set of all centro-invertible matrices with respect to R1 and the set with respect to R2.

In particular, Ω(mˆ) says that there is no bijection between the natural numbers and mˆ.

In particular, if f and m live in the domain of M, then M ⊨ "f : ω → m is a bijection" if and only if f really is a bijection between the natural numbers and m.[22] Under its ordinary English interpretation, this formula says that the set-theoretic universe doesn't contain any bijections between the natural numbers and x.

Therefore, there is a bijection between the sets of solutions to the original and transformed systems.

Recall, here, that a bijection between the sets x and y is just a one-to-one correspondence between the members of x and the members of y.

Showing the existence of a linear bijection between the spaces c 0 λ ( B ˜ ) and c 0 proves the theorem.

Hence we have a bijection between the functions from X to A and the homomorphisms from B to A. Now the typing here is a little casual, so let us clean it up.