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Therefore, by induction, part (i) follows immediately.
By mathematical induction, part two of this lemma is proved.
We design finite volume schemes for the equations of ideal magnetohydrodynamics (MHD) and based on splitting these equations into a fluid part and a magnetic induction part.
We know that for any (a,bin X) and any (Rin mathcal{R }(a,b),) we have ([a,b]_{mathcal{S }}subseteq R,) and we wish to show that this is also true for any (Rin mathcal{R }^* a,b).) To do this, we mimic the induction part of the proof of Theorem 4.0.5, using the fact that (_{mathcal{S }}) is disjunctive.
Please detail the enrichment protocol you used for the cFos induction part of the study.
In the induction part all patients received three cycles of Cisplatin 80 mg/ m and Docetaxel 75 mg/m on day 1, every three weeks.
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Rejecting all magnetic field models incorporating recent advances in modeling capability, including predictive SV or for the internal induction parts, could lead to biased solutions estimated from candidate models merely relying on similar approaches.
dwf7-1 calli displayed only marginal signs of shoot induction; parts of calli turned green, but almost no shoots were produced.
No other candidates received the support needed to win induction, in part because several of those players were also viewed as possible drug cheaters by some of the voters.
He extended Peano arithmetic through transfinite ordinals and made the transfinite induction principle part of this extended calculus.
Under certain conditions bacteria can spontaneously or by induction, lose part or all of their cell wall [1] [3], resulting in osmosensitive cells known as cell wall deficient or defective bacteria (CWDB).
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