Sentence examples for containing the range of from inspiring English sources

We may express the domain convexity hypotheses in Theorem 3.1 in terms of boundary data depending on the solution u or more specifically, as in [10], intervals containing the range of u.

The range of T contains the range of S.   (b).

Suppose that and are weakly compatible, the range of contains the range of and or is complete.

Suppose that the mappings are such that the range of contains the range of, and or is a complete subspace of.

Since the range of g contains the range of f, there exists a point x 1 in X such that f ( x 0 ) = g ( x 1 ).

If the range of g contains the range of f and g ( X ) or f ( X ) is a complete subspace of X, then f and g have a unique point of coincidence in X.

Suppose S and T are cyclic mappings from (Acup B) to (Acup B) such that the range of T contains the range of S. TX is closed in subsets of X.

If range of S contains the range of T and (S X)) is a complete subspace of X, then T and S have a unique point of coincidence in X.

The range of T contains the range of S. For any (M subset C): psi(mu bigl( T(M) bigr)leq F bigl psi bigl(mu bigl(S(M) bigr) bigr),varphi bigl(mu bigl(S(M) bigr) bigr) bigr), (6).

This can be done since the range of T contains the range of S. We have S(C_{0})subseteqoverline{operatorname {co}}S(C_{0})subseteq R_{S}subseteq R _{T}, so there exists (C_{1}) such that (S(C_{0})subseteq T(C_{1})).

The rural sub-districts formed part of a national pilot for national health insurance reforms, and the urban sub-district contained the range of settlements and service responses available within the province.