Sentence examples for a rigorous demonstration from inspiring English sources

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).

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).

Yet, we lack a rigorous demonstration whether these trait changes are genetically based, adaptive, and causally driven by global warming.

However, a rigorous demonstration of how combinatorial signaling alone works to achieve specificity in the context of peptide hormones remains to be demonstrated.

However, a rigorous demonstration that the dynamics of the two regions are coupled requires a robust determination of kex values as a function of [ACD] for loop residues as well as interface residues and the data collected did not allow for this determination with sufficiently high confidence.

A more rigorous demonstration of this requirement is still an open matter, and indeed rigorous proofs that particular solution types can only occur when three (or more) timescales are present have not, to our knowledge, been provided in the literature to date.

A more rigorous demonstration that cohesin interacts topologically with DNA came from experiments where all three interfaces in the cohesin ring were covalently sealed either by use of fusion proteins or the introduction of side chains that allowed specific chemical cross-linking of cohesin subunits (Haering et al. 2008).

Two weeks later, Glivenko had changed his mind, writing to Heyting on November 13 that, even though this result "is but an almost trivial remark", "its rigorous demonstration is a bit long" and he wants to publish it independently of Heyting's paper.

With respect to responses to temperature, there are many studies on temporal trait changes in phenology and body size in the wild that are believed to be driven by temperature increases, but there is a general lack of rigorous demonstration whether these trait changes are genetically based, adaptive, and causally driven by climate change.

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.