Sentence examples for be partially ordered by from inspiring English sources

The space can be partially ordered by the cone ; by defining, if and only if.

The space can be partially ordered by the cone ; that is, if and only if.

The set Δ, as well as its subsets, can be partially ordered by the usual pointwise order: in this order, ε 0 is the maximal element in Δ +.

The Banach space E can be partially ordered by a cone (Psubset E), i.e., (xleq y ) if and only if (y-xin P).

The set Δ, as well as its subsets, can be partially ordered by the usual pointwise order: in this order, H0 is the maximal element in Δ+.

Suppose that Σ is the set of all nonempty, weakly compact, and convex T-invariant subsets D of C. The family (Sigmaneq emptyset), because (C inSigma) and it can be partially ordered by set inclusion.

Also, Σ is partially ordered by reverse inclusion.

The space is partially ordered by the L wner order, that is, for if and only if is positive semidefinite.

Let be a real normed space, where the space is partially ordered by nontrivial pointed closed convex cone.

Suppose ((E,Vert cdotVert )) is a real Banach space and it is partially ordered by a cone (P subset E).

The space is partially ordered by the usual pointwise ordering of functions, that is, if and only if for all in.