Sentence examples for mappings for m from inspiring English sources

We shall also use the following projection mappings: For m = 1, …, k define p r m : X k → X k − 1 by p r m ( x 1, …, x k ) : = ( x 1, …, x m − 1, x m + 1, …, x k ).

Let S m, T m : C → C be asymptotically nonexpansive mappings, for every m ∈ { 1, 2, …, r }.

Let C be a nonempty closed and convex subset of a real Hilbert space H. Let A m, B m : C → H be relaxed cocoercive mappings for each 1 ≤ m ≤ r.

Let (A_{i}: C rightarrow E) be m-accretive mappings, for (i = 1,2,ldots ) .

Let A i, B j : C → E be m-accretive mappings, for i = 1, 2, … N, and j = 1, 2, …, M. Suppose that the duality mapping J : E → E ∗ is weakly sequentially continuous and D ≠ ∅.

More concretely, we fuzzify M 1×M 2×M 3→ Qmappings for one quality range (tilde {q} in Q) with (tilde {q} = q_{textit {min}} sim q_{textit {max}}) and a given service s∈S.

The mappings (phicircpsi) and (psicircphi) are identity mappings on M and N, respectively.

Solve for M.

Let (A: C rightarrow E) be an m-accretive mapping, and (S_{i}: C rightarrow C) be non-expansive mappings, for (i = 1,2,ldots ) .

We compared these complete transcript library mappings to mappings to reference mRNA mappings for each gene, to calculate whether the mapped expressed sequence is part of an AS-NMD candidate.

Let (A_{i}: C rightarrow E) be m-accretive mappings, (B_{i}: C rightarrow E) be (mu_{i} -inversely strongly accretive mu_{i} -inverselyinmathbb{N^).