Sentence examples for space induced from inspiring English sources

Lemma 2.3 Every ordered vector space induced by a closed convex cone is generalized Archimedean.

With this norm, is a Hilbert space induced by the inner product defined by (2.15).

Definition 2.1 Let X ω be a modular metric space induced by metric modular ω.

Let ((X,d)) be a metric space induced from the normed space ((X; |cdot|)).

Let ((X,d)) be a metric space induced from the normed space ((X, Vert cdot Vert )).

The hyperspace is called the generalized Hausdorff metric space induced by the metric on.

We call ((X,g,Delta)) the PM-space induced by ((X,G^,Delta)), and ((Omega^,g,Delta)) is the PM-space induced by ((X,g,Delta)).

Proof Let ( S, F, Δ M ) be the Menger PM-space induced by the metric d.

Suppose that ((X,F,Delta_{m})) is a Menger PM-space induced by d.

The solutions are illustrated with temperature rise and stresses in a single layered half-space induced by moving Hertz pressure.

Then ((Omega^,widetilde{G}^_{A,B,C}(t),Delta_{m})) is a Menger PGM-space induced by (( X,G^,Delta_{m})).