Sentence examples for I concluding the from inspiring English sources

If ∑ i = 1 n p i x i = c is any convex combination from ℐ with the center at c, then using the affinity of f { c } line, it follows that f ( ∑ i = 1 n p i x i ) = f { c } line ( ∑ i = 1 n p i x i ) = ∑ i = 1 n p i f { c } line ( x i ) ≤ ∑ i = 1 n p i f ( x i ), concluding the proof in the case that the line is below the curve.

The arguments from (i) conclude the proof.

Yet another method at EMPRES-i concludes the data exchange according to the Figure 1 by providing all validated links as of a requested synchronization date.

But, I conclude, the president needs to find arguments that convince a wider audience.

"I concluded the truth was pretty much up for grabs," he said.

I concluded the message with an apology for these caveats, and the words, "but it is insanely good".

I concluded, The official ideology of America's elite remains one of meritocracy, just as our political leadership pretends to be populist.

Horn summed up: "I conclude the book Howl and Other Poems does have some redeeming importance, and I find the book is not obscene.

Tupelo, Hackensack and Hoboken all boast fewer than 50,000 residents and, therefore, I concluded the songs named after them could make valid contributions to the playlist.

I tested that model in my Ph.D. research, and I concluded the Neanderthals did not make good ancestors of modern humans, even in Europe, where we had the best data.

Finally, I conclude the research by summarizing its main findings and discussing its implications and limitations.