Sentence examples for be applied to assert from inspiring English sources

Exact(1)

Secondly, when (lambda<1 ), then the Banach fixed point theorem (Theorem 1.2) cannot be applied to assert that T has a fixed point in ((mathcal{X},D) ) unless T is continuous in ((mathcal{X},d) ); however, the following theorem remedies the case when T is discontinuous on ((mathcal{X},d) ).

Similar(59)

In arguing that traditional rules of war should be applied to prisoners, he asserted that this was not a formal or diplomatic recognition of the Confederacy but was merely "the recognition of reality".

Second, in explaining how mathematics can be applied to bodies Kant asserts that "principles for the construction of the concepts that belong to the possibility of matter in general must first be introduced.

Applied to persons (it can equally well be applied to other persisting things), it asserts that persons have different properties, in particular, different modal properties, from the summations of person-stages with which the perdurance theory identifies them.

"Universal moral principles," he asserts, "cannot be applied to the actions of states in their abstract universal formulation, but …they must be filtered through the concrete circumstances of time and place" (9).

While our approach can easily be applied to a wider set of organisms, we assert that it has the potential to bring yeast comparative genomics up from the sequence level [ 65– 68] to the level of chromosomal site analysis.

We assert that the proposed technique can be applied to a much larger class of fixed-order and variable-order fractional differential equations (see, for instance, [40, 41]).

As shown in 28, even asserts that the focused property met Mary is less likely to be applied to the subject than the alternatives, as met Bill.

Friedman asserts, "Creativity can be applied not only to creating art, but also to solving pressing problems of the day: finding sustainable energy solutions, developing innovative business ideas, and creating jobs".

And so long as there are prominent liberals who denigrate the intelligence of their fellow citizens and assert solutions that must be applied "for the good of" a public that allegedly cannot govern itself, that problem will remain.

We assert that the Mönch fixed point result can be applied in this case.

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