Sentence examples for be an ordered partial from inspiring English sources

Definition 1 Let X be an ordered partial metric space.

Definition 11 Let ( X, p b ) be an ordered partial b-metric space.

Definition 1.10 Let ( X, p, ⪯ ) be an ordered partial metric space.

Let ( X, ⪯, p b ) be an ordered partial b-metric space, and let f : X → X be a mapping.

Let ( X, ⪯, p b ) be an ordered partial b-metric space with the coefficient s ≥ 1, and let f, g : X → X be two mappings.

Definition 12 Let ( X, ⪯, p b ) be an ordered partial b-metric space, and let ψ and φ be altering distance functions.

Then ( X, p, ⪯ ) is called an ordered (partial) metric space if: (i) ( X, p ) is a (partial) metric space, and   (ii) ( X, ⪯ ) is a partially ordered set.  . ( X, p ) is a (partial) metric space, and.

Definition 3.2 Let ( X, p ) be a partially ordered partial metric space and F : X n → X be a given mapping.

Let ((X,p,sqsubseteq)) be a partially ordered partial cone metric space over a solid cone P of a normed vector space ((E,Vert cdot Vert )).

Consistent with this mechanism, the secondary conformation of the 79 83 loop is accompanied by an ordered, partial-occupancy water molecule.

Corollary 4 Let ( X, ⪯, p ) be a complete partially ordered partial metric space.