Sentence examples for map is injective from inspiring English sources

This map is injective by [52, Theorem 4.8].

This reduction concerns the fact that the r-observability map is injective only for r > n.

Provided the cone generated by cbounds a convex cone the boundary value map is injective.

It not known if the corresponding Magnus map is injective in this case, either.

If X is a simply-connected complete Riemannian manifold with nonpositive sectional curvature and Γ is a torsion-free discrete group acting on X properly and isometrically, we prove that the equivariant higher index map is injective.

If the observability mapping is injective in the whole, the system can be transformed into a normal form, from which the estimation of the successive output derivatives can be easily carried out.

One computational method can rule out multiple equilibria in a CRN by determining if the associated polynomial function is injective, i.e., it maps distinct arguments to distinct values [ 37, 38].

Since co-special maps are injective, this applies to ((pi (f_1)^o)^* cong pi (f_1)_!).

The maps Φ n are compositions of a number of global biholomorphisms, plus a holomorphic map which is injective on a small ball whose radius decreases with n.

The map Ψ is injective on (J_{p}timesmathbb{D}_{r}), but not on (J_{p}times mathbb{C}).

We say that the boundary matrix is reduced if the map low is injective on its domain of definition.