Sentence examples for ordered metric from inspiring English sources

From Example 3.5, any arbitrary Riesz space (vector lattice) ( X, ≽ X ) is an ordered metric space with the ordered metric induced by its (ordered) absolute values.

(Partially ordered metric spaces).

(Non-complete partially ordered metric spaces).

We also derive similar results in ordered metric spaces.

Then (X, ≤, d) is a partially ordered metric space.

Then ( X, d, ⪯ ) is an ordered metric space.

Let X be a hyperbolic ordered metric space.

Let ((X,d,preceq)) be an ordered metric space.

Let ((X,preceq,d)) be a partially ordered metric space.

Then (X,d,≼) is called an ordered metric space iff.

Let ((X,preceq,d)) be an ordered metric space.