Sentence examples for and the second statement from inspiring English sources

For n=0 the first statement is trivial, and the second statement follows immediately from Lemma 46.

Notice also that ( log n ( m ) ) 1 − p < ( 2 log m ) 1 − p. So by the Borel-Cantelli lemma and the second statement of Lemma 2.2, we have ∑ m = n 0 ∞ P ( | μ n ( m ) ( 2 ) | > ε ) < ∞, proving the lemma.

Since in (5), combining (7) and (9) results in the second statement of the theorem.

With reference to the second statement (and Hull's original definition with the term 'largely'), it is presupposed that the difference between genes-as-replicators and organisms-as-replicators must not be qualitative to begin with, but quantitative.

f(x) = 2x^2 + 6x n = 2 for the first statement and n = 1 for the second statement.

And his campaign manager, Adam Stoll, released the second statement in two days criticizing Mr. McCall for removing some of his documents from the state public archives after the two letters were found there.

By a 73 to 21percentt margin -- including 78percentt of independents, 69percentt of conservatives and 60percentt of Republicans -- voters choose the second statement.

Despite a show of Franco-German unity on the crisis and the first statement from EU leaders pledging to safeguard the currency's stability, hopes on the markets of a German-led rescue plan to shore up Greece's critical public finances were dashed by Merkel, who repeatedly emphasised that Athens would need to put its own house in order and brushed aside all questions of financial support.

(i) and the first statement of (ii) have already been proved in Proposition 2.3.

Taking into account (8), (9) and the first statement of Lemma 2.1, we get g u = g v.

Because if I would have made a fast statement and the first statement was made without knowing much other than what we were seeing".