Sentence examples for it implies by from inspiring English sources
Since S is reversible, it implies by Theorem 3.1 that z ∈ F ( T ).
Since (F_{2}) is upper semicontinuous in the first argument, it implies by (3.17) that F_{2}(Ap,y)+phi y -phi(Ap)geq0,quad forall yin Q.
Moreover, the role of monitoring costs in the BK is somewhat odd: it implies by assumption that the smaller the banking sector, the better.
end{aligned} Since (lim_{nrightarrowinfty} y_{n}=q), it implies by (3.11) that operatorname{dist} q,T_{i}q)=0 quadmbox{for all }i=1,2,ldots,N.
By Lemma 1.5, there exists a subsequence { u n k } of { u n } such that Δ - lim k → ∞ u n k = y ∈ C. It implies by (3.5) and Lemma 3.5 that y ∈ F ( T ).
Since (G_{i}) is nonexpansive and (t_{i}) is k-strictly pseudononspreading for all (i=1,2,ldots,N), it implies by Lemmas 1.3 and 3.1 that (pin F(S)) and (pin F(W)).
It implied 'by tomorrow you'll be dead'".
With Steve Miller, he invented Space Rock: rock music which consciously explored new notions of space and time, inspired by astronauts and by the speed-up of the mental and physical world that it implied by electricity.
And for instance, contrary to some observers' impressions, at no point is it implied by anyone, including Mr. Woodward and Mr. Bernstein, that the already famous prayer‐session‐with‐tears in the Lincoln Sitting Room was the act of a man losing his sanity.
2-D digitising an object is, as it implies, limited by the effect of distortion by the planar image on the 3-D object.
The characterisation of "weak solution" in Proposition 20 differs slightly from the standard definition, but it implies successively by means of approximation that: 1.
