Sentence examples for proofs demonstrate from inspiring English sources

Finally, our logical proofs demonstrate security when an unbounded number of sessions are executed in parallel.

The final step uses algebra: : \begin{align} x &= 0.999\ldots \\ 10x &= 9.999\ldots \\ 10x &= 9+0.999\ldots \\ 10x &= 9 + x\\ 9x &= 9\\ x &= 1 \end{align} Although these proofs demonstrate that 0.999... = 1, the extent to which they explain the equation depends on the audience.

After initial skepticism about the in vivo relevance of these observations, definitive proofs demonstrate the existence of oncogene induced senescence in vivo [ 7].

The proof demonstrates that (m(0)leq0), so that we can apply Lemma 2.2 and affirm that (m(n leq0) on J.

For instance, in the Fifth Meditation, Descartes claims to provide a proof demonstrating the existence of God from the idea of a supremely perfect being.

The BBC reported on Monday that Wright gave some technical proof demonstrating that he had access to blocks of bitcoins known to have been created by bitcoin's creator.

When scientific proof demonstrates such an effort has succeeded, one would expect a celebration with shouts of "we've saved a species," but the actual reaction is much different".

The mathematical proof demonstrates that GFA could be convergent in the global optimum by probability 1 in three conditions for one independent variable mass functions.

Then, we design novel VCRG-n encryption schemes for binary, gray-level and color images, validate the correctness by formal proofs and demonstrate the feasibility by computer simulations.

"The government need not provide unassailable proof to demonstrate Sotheby's knowledge at this stage of the case".

To provide an analytical framework within which public health interventions can be evaluated, present its mathematical proof, and demonstrate its use using real trial data.