Sentence examples for by implies from inspiring English sources

which, by,, implies that (3.12).

By lemma 3.9, we get (3.42) which, by, implies that there exists with (3.51).

A is Lipschitzian with the family of Lipschitz constants ({k_{alpha}}); B is completely continuous and (x=Ax By) implies (xin S) for every (yin S); (p_{j alpha)}(x-y leq p_{alpha}(x-y leqor every (x,yin S) and (alp_{alpha} x-y every (xin X) and for every (alp_{alpha} x-yre exists (q(alpha, x)) such that p_{j^{k}(alpha)}(x)leq q(alpha, x)< +infor for all (k=0,1,2,ldots) .

A is (mathcal{D} -Lipschitzian with the family of functions ({psi_{alpha}}); B is completely continuous anD} -Lipschitzianies (xin S) for every (yin S); (p_{j(alpha)}(x-y)leq p_{alpha}(x-y)) for every (x,yin S) and (alphain I); for every (xin X) and for every (alphain I), there exists (q(alpha, x)) such that p_{j^{k}(alpha)}(x)leq q(alpha, x)< +infty for all (k=0,1,2,ldots) .

Open Access (CC-BY) implies (but may not explicitly state) that articles can be repurposed by machine extraction of data items, e.g. by OSCAR.

It reassured the pessimists by implying that something was being done.

You start by implying it was once; then you say a couple of times.

Mr. Obama responded Tuesday by implying that Mr. Graham was simply seeking attention.

Several Indiana Democratic editors mockingly wondered what Burnside meant by "implied treason".

He claims the article defamed him by implying he was corrupt.

Grantstein infuriated Lincoln by implying in an interview that he was somehow dirty.