Sentence examples for a the mapping from inspiring English sources

An operator (A: D(A)subset E^rightarrow E) is said to be hemicontinuous if for all (x^, y^in D(A)), the mapping f of ([0,1]) into E defined by (f(t)=A(tx^+ 1-t y^)) is contx^+ 1-t y^

(a)The mapping is said to be monotone if (1.1).

Given a mapping (S Arightarrow B) and an isometry (g Arightarrow A), the mapping S is said to preserve isometric distance with respect to g if F_{Sgx_{1}, Sgx_{2}}(t) = F_{Sx_{1}, Sx_{2}}(t) for all (x_{1}) and (x_{2}) in A. and (t>0).

By Lemma 2.2 and the choice of a, the mapping T defined as in Lemma 2.2 is a fixed point free firmly nonexpansive self-mapping on C. □.

Hence, for each A ∈ F X and each fixed x ∈ co(A), the mapping y ↦ϕ (x, y) is lower semi-continuous on co(A).

By Propositions 2.6 and 2.7(a), the mapping (Pcirc T) is ((psi,varphi -weakly contractive on Y. From Theorem 1.3,varphi -weakly unique (zin Y) sucontractiveP(T(z))).

a The map shows the area around Hakone Volcano.

(A) The map of the plasmid pPIC9K-Sam2; (B) The map of the plasmid pMD19T-C-Z.

Ms. Jamison called the donation "an off-the-map gift".

A video explains the mapping software.

(A ) Design of the mapping cross.