Sentence examples for formally shown in from inspiring English sources

This has been formally shown, in a companion paper, to include these asymptotic interactions.

The advantage of the CPR protocol is formally shown in Theorem 1. Theorem 1.

This assures that the aggregator cannot learn anything beyond the resolution of the key, which is formally shown in section Multiple aggregators.

These requirements are fulfilled due to the properties of the masking approach as introduced in section Masking and formally shown in section Basic approach.

This is formally shown in the final subsection, together with a number of basic propositions for random user selection, which are valid for any symmetric function F. Let us continue by considering the privacy claims of Kononchuk et al. [7], who use the same definition of privacy by means of entropy.

The relationship between absolute and relative costs is formally shown in the Methods.

Von Neumann's CA was also the first discrete parallel computational model in history formally shown to be a universal computer, i.e., capable of emulating a universal Turing machine and computing all recursive functions.

While this latter connection has yet to be formally shown, knowledge of mycobacterial strains circulating in Ethiopian cattle is essential baseline data to inform public health policy.

In this work, it is formally shown that for convergence is sufficient to guarantee that parametric uncertainty is increasingly reduced on a run-to-run basis.

The observer is formally shown to enjoy nice convergence properties.

The experts also predicted yesterday, as the Yankees formally showed off Mr. Rodriguez in pinstripes, that his arrival from the Texas Rangers may serve to set up a competition for commercials between him and Mr. Jeter, the longtime Yankee standout pitchman.