Sentence examples for preceding statements from inspiring English sources

Indeed, many phrases and themes appear in the draft almost unaltered from preceding statements.

As is apparent from the preceding statements, solid solution plays an important role in the rock-making feldspars.

By the preceding statements, we know (u^beta ge 0) in (overline{E_T}), equivalently, (uge 0) in (overline{E_T}).

Based on the preceding statements, it can be inferred that MET drives stem cells into a quiescent state, whereas EMT is associated with reactivation or reprogramming of epithelial cells [3], [45] (Figure 7).

In view of the preceding statements, crystallographic data are often helpful but not always conclusive in terms of phase identification.

In all the preceding statements, the formation of an apatite phase is a specific concern, whether for the production of self-supported bioactive ceramics, for the setup of a coating on implants for improving bone-bonding abilities, or else for drawing relative "bioactivity" information.

The linguists I spoke with thought that this use of "no" might be a response to an implicit or explicit negative in the preceding statement: the type of "no" we used back when we also had "nay".

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

That is, the conclusion more exactly, the sense of the final statement is required by the sense of the preceding statement(s), so that it cannot be otherwise.

Abelard often speaks of the sense of the final statement being 'contained' in the sense of the preceding statement(s), much as we speak of the conclusion being contained in the premisses.

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.