Sentence examples for ii we know from inspiring English sources

Exact(12)

Then (ii) We know that  .

(ii) We know that,,, span.

By the assumption (ii), we know that.

By conditions (i) and (ii), we know that (2.2).

By step (II), we know is a KKM map.

Combining (i) and (ii), we know that can be listed as in (1.6).

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In World War II, we knew exactly what "unconditional surrender" meant -- victory!

On the other hand, by the proof of Theorem 3.1 (i - ii), we know that there exi - ii sequence (x n )nof successive approximations for T starting from arbitrary (x0, x1) Graph(T ) weich converge to a fixed point x* X of the operator T. Since the fixed point is unique, we get that d(x n, x*) 0 as n +.

On the other hand, by Theorem 2.11(i - ii), we know that there exi - ii sequence ( x n ) n N of successive approximations for F starting from arbitrary ( x 0, x 1 ) Graph ( F ), weich converge to a fixed point x X of the operator F. Since, the fixed point is unique, we get that d ( x n, x ) O as n + .

Their value is that they remind us of what we might otherwise take for granted: in this case, that Poland resisted Germany, thus beginning World War II as we know it, and as Roberts beautifully describes it.

Utilizing conditions (ii)–(iv), we know from (2.30) that (2.31).

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