Sentence examples for consequences of the preceding from inspiring English sources

Together with the consequences of the preceding waves the massive distribution of cars, oil, technology and services they provide solutions to the challenges of the previous phase, while also raising economic productivity onto an even higher level.

The next result is an immediate consequence of the preceding proposition.

As a consequence of the preceding theorem, we obtain the following one.

An immediate consequence of the preceding statement is the following result.

An immediate direct consequence of the preceding Corollary 2 is the following new result for upper spring ordered transversal spaces.

As an immediate direct consequence of the preceding Corollary 18, we give the following new result for lower spring ordered transversal spaces.

Suppose that there exists a controlling function (N: Xto [a,b subset P) for (aprec b) such that Mbigl(T x bigr preccurlyeq N x) preccurlyeq sup_{zin sigma x, infty)} M z) prec bquad textit{for every }xin X, (D) and for some (rin X). Then T has at least countable or finite fixed points in X. An immediate consequence of the preceding statement is the following result.

We also developed a measure of hazardous drinking that was based on frequencies of various behaviours related to either pattern of drinking or its consequences over the preceding year.

Although perhaps taken for granted, one very important consequence of this local nature of the preceding operators is that the operators possess a strong connection to the monotone behavior of f.

Whether the (7 S)- or (7 R -homobisabolyl cation is foR -homobisabolylly a cationuence of the precise formedg of the precedisg (4 R)-bisabolyl cation enforced by the active site contour.

So, the consequences of reperfusion depend on duration of the preceding ischemia, the hyperglycemic state, and [ 15] on the rate of glucose and fatty acid oxidation [ 16, 17].