Sentence examples for natural map from inspiring English sources

Note that the natural map induces (2.29).

Hence, we have a natural map (3.2).

The natural map m ⊗ k R → R m is an R –module isomorphism.

the natural map (4.2) is an isomorphism if (pi (f_1)) is surjective.

Let N be the kernel of the natural map P x → J x, its generic fiber is trivial.

Note that there is a natural map (iota _k :_nmathrm{Br}(k) rightarrow _nmathrm{Br}(K _{mathrm{ur}}).

The two maps $U_0 = Y \to U_1 = Y \amalg _ X Y$ are the two natural maps.

The invariant consists ofK0,K1, theK0-group with Z/pcoefficients, the order structures these groups possess, and the natural maps between the three groups.

This is a relatively natural mapping of the overall algorithm functionality into signal flowgraph form.

"We wanted to create a natural mapping as to where the sound is coming from and where you should look".

The two are connected by a natural mapping : Π → L, given by p → [p] = F Jp) where for each p∈Π, Jp = {x∈ X | p(x) ≰ p′ }.