Sentence examples for rigorous demonstrations from inspiring English sources

He complained that instead of rigorous demonstrations aimed at improving care, some states were shifting whole populations into untried programs.

The text is replete with analogies, metaphors, and other forms of argumentation that fall well short of rigorous demonstrations.

One point that we take Leibniz to be making here is that in exoteric contexts propositions can be treated as hypotheses rather than providing rigorous demonstrations of them.

It can include these things, which "give a pleasing respite to a weary soul," so long as they are carefully distinguished from the rigorous demonstrations that form the core of the work.

To our knowledge, this is the first rigorous demonstration of super-polynomial noise-tolerant storage in recurrent networks of simple linear threshold elements.

A rigorous demonstration of the principles on which the ARROW protocol has been developed can be found in ([15]: Theorem 4, [20]: Lemma 3.13).

Botulinum toxin A (BTX-A) is used to treat glabellar lines but the rigorous demonstration of its efficacy in a well-designed study had never been reported.

This rigorous demonstration of uncertainty in discharge and water quality data illustrates the importance of uncertainty analysis and the need for appropriate tools.

To our knowledge, this is the first rigorous demonstration that one need not succumb to temptation in order for it to detrimentally impact one's economic productivity.

A rigorous demonstration, for Leibniz, consists in a "chain of definitions" (catena definitionum) where one moves from premises to a conclusion via the substitution of definitionally equivalent terms (A II.i.398; L:198).

This principle affords us a rigorous demonstration of what, in any event, was already plausible and intuitively 'natural': that after having performed the infinite sequence of actions (a1, a2, a3, …, an, … ) Achilles will have reached point B (x = 1).