Sentence examples for be a partially preordered from inspiring English sources

Let ( X, ≼ ) be a partially preordered space.

Let R 0 + = [ 0, ∞ ). Definition 1 We will say that ≼ is a partial preorder on X (or ( X, ≼ ) is a preordered set or ( X, ≼ ) is a partially preordered space) if the following properties hold.

Remark 6 Obviously, Ψ ⊂ Φ. Definition 7 We will say that ≼ is a partial preorder on X (or ( X, ≼ ) is a preordered set or ( X, ≼ ) is a partially preordered space) if the following properties hold.

Corollary 32 Let ( X, G ) be a complete G ∗ -metric space and let ≼ be a partial preorder on X.

Theorem 30 Let ( X, G ) be a complete G ∗ -metric space and let ≼ be a partial preorder on X.

If a preorder ≼ is also antisymmetric, then ≼ is called a partial order, and ((X,preccurlyeq)) is a partially ordered space (or a partially ordered set).

If a preorder ≼ is also antisymmetric ( x ≼ y and y ≼ x implies x = y ), then ≼ is called a partial order, and ( X, ≼ ) is a partially ordered space.

It's a partially serious, partially silly list.

Flux is a partially distributed social network.

So it is a partially representative jirga.

Corollary 5.3 Let ( B, ≽ ) be a convex preordered reflexive Banach space.