Sentence examples for the sum from from inspiring English sources

We have the sum from 0 to r, of beta^k.

We now go back to the expression that we just worked out y[n] is alpha^n, the sum from 0 to n, (alpha^ -1))^k.

The upshot of all of this is that y[n] now we can reexpress as alpha^n, the sum from 0 to n of (alpha^ -1)^k.

First, we show how to utilize applied cryptographic techniques to allow the aggregator to decrypt the sum from multiple ciphertexts encrypted under different user keys.

So nothing will be transferred until 2009 and, when it is, the sum from Arts Council England (Ace) will amount to £112.5m over that period.

An Israeli official said Israel was entitled to deduct the sum from a debt of more than $200m£125m5m) owed by the PA to the Israel Electric Corporation.

The sums from Germany are sobering.

The accuracy of the deconvolution procedure was characterized by the standard deviation of the Gaussian sum from the experimental curve.

Any upgrading of the Gleason sum from the biopsy to the final pathologic specimen may alter the treatment options.

As this has not happened, the Treasury is instead taking the equivalent sum from the budget.

As that has not happened the Treasury is instead extracting the equivalent sum from the day-to-day public services budget.