Sentence examples for the foregoing shows from inspiring English sources

The foregoing shows how the sum theorist can resist arguments such as Barnett's and Laycock's.

The foregoing shows the need for adjusting clinical break-points, as the susceptibility pattern regarding Candida spp. infections is dynamic and is influenced by patient and strain exposure to prolonged treatment with different antifungal drugs currently available on the market [ 9, 10, 25].

If the gas is a mixture, the foregoing calculation shows that the impacts of the different species are simply added separately, and Dalton's law of partial pressures follows directly.

As the foregoing example shows, in a second-order language for arithmetic, we can say that the natural numbers are well ordered.

The foregoing analysis shows that traditional multivariate regression based methods tend to overestimate the impact of admission to stroke unit on outcomes in the presence of overt selection.

The foregoing analysis shows that the condition of the rodent population dying out is approximately the same for lethal control and contraception control.

The foregoing theorem shows that the concept of weak sharp minima can be converted into a class of optimization problems with the same optimal value.

Letting t 1, t 2 → α, the foregoing relation shows that lim t → α − x ( t 0, ϕ ) ( t ) exists, because of Cauchy's criteria for convergence.

The foregoing discussion shows that the epistemological debate between the Buddhists and the Naiyāyikas regarding the nature of perception rests on, and brings to the fore, their metaphysical disagreement about the nature of universals.

The foregoing discussion shows that the presence of packet dropouts together with the use of MDs makes the length of the received control packets stochastic and time-varying, while the prediction horizon N is fixed.

Ever since, "set theory" has generally been identified with the branch of mathematical logic that studies transfinite sets, originating in Cantor's result that R has a greater cardinality than N. But, as the foregoing discussion shows, set theory was both effect and cause of the rise of modern mathematics: the traces of this origin are indelibly stamped on its axiomatic structure.