Sentence examples for the foregoing theory from inspiring English sources

While the foregoing theory is simple, the lengthy explicit mathematical expressions become impractical if the total number of spring mass systems is larger than "two".

The purpose of this paper is to present a numerical technique to apply the foregoing theory to obtain the exact solutions for the lowest several natural frequencies and mode shapes of a uniform beam carrying "any number of" spring mass systems with various boundary conditions.

All of the foregoing theories generate predictions with regard to the branching patterns expected in trees comprising both prokaryotic and eukaryotic genes.

Nevertheless, from the foregoing categorial theory, the mature Abhidharma drew ontological conclusions with regard to the reality of dharmas.

Although there remains the theoretical possibility of a finitary proof of consistency that cannot be reflected in the foregoing systems of set theory, no hopeful, positive results have been obtained.

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.

For example, one might allow, as does Moser's theory discussed in the foregoing, that one merely have a de re awareness of the evidential relation holding between the reason and the belief.

The foregoing has reviewed feminist reflections on theories of art, noting how the histories of women in the arts inform contemporary feminist debates and practices.

Various theories can explain the foregoing effect (Wiig & Bilkey, 1994; Brown & Aggleton, 2001; Squire et al., 2007; McTighe et al., 2010), but make different predictions about whether perirhinal cortex (PRh) lesions bias novel objects to appear familiar or, alternatively, bias familiar objects to appear novel.

Wright was in advance of his contemporaries in his understanding of Darwin's change in organisms and species, in part because he applied the foregoing interpretation of science to Darwin's theory.

From the foregoing disussion, it should be obvious that category theory and categorical logic ought to have an impact on almost all issues arising in philosophy of logic: from the nature of identity criteria to the question of alternative logics, category theory always sheds a new light on these topics.