Sentence examples for follows implies that from inspiring English sources

Thus, follows, implies that.

Similarly, stage N of the compressor should be larger than the MWP of CASV showed as follows implying that the maximum pressure of CASV can only be reached when all stages work simultaneously.

They say that common knowledge of rationality and of agents beliefs about each other, quantified as their probability distributions over the strategy profiles they might follow, implies that the agents' beliefs characterize an equilibrium of the game.

The a priori estimates that follow imply that in fact.

These tests and the results to follow imply that variation in selective pressures among genomic regions can indeed contribute to local deviations in population-genetic parameters.

Therefore, there exists such that for and for follows from (2.17), which implies that is strictly decreasing on and strictly increasing on.

It follows that (2.2). which implies that is continuous in the second argument.

It follows from (2.27) and (3.6) that implies, that is, maps into.

Even taking this limitation into account, a role for IL-4 in the Ethiopian setting is supported by the significant reduction of IL-4 mRNA seen among treated TB patients at follow-up, implying that chemotherapy-induced cure of TB reduced IL-4 production (Figures 2 and 3).

It follows that implies that This is a contradiction, hence.

It follows that implies that with and so (4.22).