Sentence examples for induction basis from inspiring English sources

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The induction basis (i) is easily proved by simple algebra.

We start by considering the case j = i, which is the induction basis.

Having proved the induction basis (i), let us then assume that ∑ i = 1 m − 1 a i p i ≤ ∑ i = 1 m − 1 a i p f ( i ) ∀ f ( i ) ∈ F ( m − 1 ) (12). for the sets A ( m − 1 ) and P ( m − 1 ) ordered as stated in the hypothesis.

Induction basis.

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As just discussed, generalization along the cline of instantiation operates more in terms of a statistical induction; on the basis of past experience, the linguist builds up a statistical prediction of what features are likely to be exhibited by a particular text.

On that basis, induction of β-cell rest by temporary inhibition of insulin exocytosis has been suggested as a therapeutic concept to restore glucose-induced insulin secretion (9).

C57BR/cdJ mice (BR) are resistant to tumor induction on the basis of a well characterized cytolytic T-cell response targeting the major virus transforming protein (Lukacher and Wilson 1998).

36 Diaz-Rubio et al, in a Phase III trial, suggested that maintenance therapy with single-agent bevacizumab represented an appropriate option after XELOX plus bevacizumab chemotherapy induction, on the basis of noninferiority results in terms of PFS obtained in a bevacizumab maintenance group versus a XELOX plus bevacizumab maintenance group (10.4 vs 9.7 months, respectively).

He is one of six people selected by the academy for the latest inductions on the basis that their "careers have made a significant impact on the medium".

Faraday is also credited with the discovery of electromagnetic induction--the basis of the electric motor--and the transformer, and with building the first electric generator.

We discretize these equations using a new formulation that treats the electric field and magnetic induction using simple basis-function representations to obtain a discrete form of Faraday's law of induction, but that uses finite integral representations for the displacement current and magnetic field to obtain a discrete form of Ampere's law, as in the finite integration technique [T.

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