Sentence examples for consequence of the preceding from inspiring English sources

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.

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.

Further studies are needed to clarify whether neutropenia acts as a contributor in the pathogenesis of RP or if it is a very early consequence of the syndrome, preceding any other inflammatory changes in blood.

In consequence the preceding definitions of logical truth, logical falsity and logical analyticity are not applicable to purely logical propositions, since they do not contain any extra-logical idea.

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.