Sentence examples for this jointly with from inspiring English sources

This jointly with continuity implies strict monotonicity.

This jointly with x − 1 < 0 implies ( x n ) n ≤ 0 is strictly increasing and lim n → − ∞ x n = − ∞. □.

Since equation (2) is elliptic in domain (Q_{0}), this jointly with Lemma 4 yields the uniform convergence of this series everywhere in each domain (overline{Q}_{delta}), (0

Do this jointly with your supervisor.

I particularly welcome the opportunity to celebrate this moment jointly with our scientific colleagues at Celera Genomics.

Two weeks later, he was charged with a further count of cheating the public revenue, this time jointly with Peter Storrie, his former chief executive at Portsmouth.

Last week the committee issued yet another summons for the Facebook founder — this time jointly with a Canadian committee which has also been investigating the same knotted web of social media data misuse.

This estimate jointly with the Fubini theorem implies that operatorname{meas}overline{J}_{kn_{1}n_{2}}^{l+}leq frac{2varrho ^{m}operatorname{meas}hat{J}}{(1+l^{2}) vert k vert ( vert k vert +1)^{m+3}}.

Francis Collins, director of the National Human Genome Research Institute (NHGRI --which is fuNHGRI --whichitiative joiNHGRI --which Natisnal Heart, Lung, and Blood Institute--says that having the genomes ofunding of thismost initiativemammals in biomedical research in hand "will greatly speed the unraveling of the genetics and physiology" of human disease.

This estimate jointly with the Fubini theorem implies that operatorname{meas}overline{J}_{kan_{1}}^{l-}leq frac{varrho ^{m-1}}{C(1+l^{2})}biggl(frac{varrhooperatorname{meas}hat{J}}{ vert k vert ( vert k vert +1)^{m+3}+frac{mathcal{{O}( vert m_{0} vert ^{-bar {delta}})}{ vert k vert }biggr).

This fact, jointly with the observation that every position ([i][j]) of each matrix can be computed looking at a constant number of previous entries and taking the maximum for each case, ensure that an algorithm based on the above recurrence returns in polynomial time an optimal syntenic global alignment of the input sequences.