Sentence examples for preceding definition from inspiring English sources

Let us comment on the preceding definition.

(The notation g p was defined in the paragraph preceding Definition 6).

Each partial metric is a dislocated metric and examples preceding Definition 2.4 show that the dislocated metric is more general.

If in the preceding definition the order is reversed then we will use the term 'deflationary' instead of inflationary.

It is clear from the preceding definition that is a solution of problem (2.3 - 2.4 2.3 - 2.4

If so, then given the preceding definition, it seems to me that the most important place to look for that fit would be in people's core beliefs and values.

It is a basic problem, and by no means a simple one, to show that the intuitive notion of choosing a number at random from [0, 1], as described above, is consistent with the preceding definitions.

It is clear from the preceding definitions that (partial _R A=partial ^+_R Asqcup partial ^-_R A).

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.

Analogously, we introduce ϕ ˜ n, i ( x ), ϕ ˜ ( x ) and H ˜ n, i ; k, j ( x ), H ˜ ( x ) by the replacement of S n, i ( x ), P n, i ; k, j ( x ) in the preceding definitions with S ˜ n, i ( x ), P ˜ n, i ; k, j ( x ), respectively.

This position acknowledges the need for studying the dynamic process preceding the definition of a state of crisis.