end{aligned} (8) On the other hand, repeat a proof similar to that in Lemma 2.3(i), Lemma 2.4(i), and one can derive that begin{aligned} bigglvert int_{T epsilon)}^{t} t-s)^{mu+nu-1} t-shbb{E}_{mu+nu,mu+nu } bigl(-(t-s)^{mu+nu}lambda_{1} bigr),ds biggrvert leq B(mu,nu,lambda_{1},lambda_{2}).
The volunteer nodded in commiseration and handed Brown a proof-of-residency form.
The above proof of ASF is, on the other hand, a Fourier analytic proof, fully independent of CSF and all the theorems of this paper.
Otherwise the human advisor is called for providing a hand crafted proof for such a formula, which subsequently after some (automated) preparation steps is stored in the system's memory, to be in stock for future reasoning problems.
The party decided they couldn't abide one of their respected members giving bipartisan comfort to the new administration; and, too, that they couldn't count on not being double crossed in the promise of the Democratic governor of New Hampshire to appoint a Republican and, therefore, head off handing a filibuster-proof majority of 60 to the Democrats.
In his 1986 book The Tiger and the Trojan Horse, British author Dennis Bloodworth noted that "the ideograms in stone, chiselled by a sentient hand, were proof that this was the epitaph of a man, not a movement".
On the one hand, in §70, Wolff provides a proof (or derivation) of PSR from POC and the notions of 'something' and 'nothing.' And, on the other hand, in §74, Wolff claims PSR is an innate principle of the human mind and a self-evident logical axiom.
She approached me once with a proof in her hand.
In order to state this this passport has been given as a proof into his hands, so that it may be produced and used in time of need.
With a proof of concept in hand from that trial run, the team was able to pitch their way up to the big leagues — a contract at Madison Square Garden.
