Sentence examples for a relative boundary from inspiring English sources

That is, a nonzero relative chain is a relative boundary of some chain, that it belongs to an equivalence class of chains that are neither boundaries of relative chains and do not have a relative boundary in the chain space, or it is a relative chain that has a nonzero relative boundary.

T and t are said to be weakly commuting if t(∂ K T x)) ⊆ T(t(x))) for all x ∈ K, where ∂ K A denotes the relative boundary of A ⊆ K.

For each relative maximum boundary edge of the tree, the tree is only a relative maximum boundary.

Definition 1 Let ℰ be a closed subset of X and let Q be a submanifold of X with relative boundary ∂Q.

Regardless of from which side the attacker is performing a search for the relative maximum boundary tree algorithm, he or she will receive a relative maximum boundary in the same tree, so that the attacker is unable to know each section of the mobile network and the number of mobile users.

Consider a closed subset E ⊂ X and a submanifold Q ⊂ X with relative boundary ∂Q, and let Γ : = { h ∈ C 0 ( X, X ) : h | ∂ Q = id }.

For example, in Fig. 1, a boundary tree, which consists of node9node10, node9node11, node9node8, and node8node12, is a relative maximum boundary tree.

Let S, Q be closed subsets of a Banach space X, Q with relative boundary ∂Q.

Fig. 8 Looking for a relative maximum boundary tree for a user under complex mobile network.

However, if unsatisfied, then a relative maximum boundary tree combination, namely by constructing hidden forests, must meet the user location privacy of mobile users and distribution in sections of the requirements.

Under these assumptions, the relative boundary error e N as a function of the number N of terms in the truncated series expansion (29) exhibits the behavior shown in Figure 1.