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And yet they are here presented as if something has been logically demonstrated.
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The idea of the existence of a Peclet number dependent upon the critical length, for which the non-uniformity of the droplet reaches a maximum, is logically proposed here and demonstrated by applying a relatively crude analysis.
Penrose's solution was effectively rediscovered independently by Bennett (1982), after Bennett had demonstrated that logically reversible computation could avoid the necessity of storing large quantities of additional information (Bennett 1973).
At one point in the original story Dominic asks — of himself and his double — "Will I ever succeed in demonstrating logically the reality of the exterior world?" His double assures him that the problem isn't the reality of the exterior world, "but the objective reality of the 'double' or the guardian angel".
Further, inferences will have to rely on cases of inductive reasoning which are logically not valid and cannot be demonstrated to be universally valid.
Logically, composite scaffolds containing bone particles demonstrated the highest level of osteogenic gene upregulation and, thus, would be obvious candidates for bone regeneration applications.
Recent studies have demonstrated the clinical potential of logically designed small interfering RNA (siRNA).
If the use of a multimodal neurological monitoring might logically help for therapies, this cannot be demonstrated.
Pearl [ 30] has shown that certain nonparametric SEMs are logically equivalent to counterfactual models and has demonstrated how they can be regarded as a "language" for interventions in a system.
This does not logically imply that fisheries-induced evolution has been unequivocally demonstrated in each stock that has been investigated, not even when a residual unexplained trend has been documented.
Shortly thereafter, in 1905, Einstein developed his theory of relativity which demonstrated that the concept of an aether was logically inconsistent with Maxwell's equations of electromagnetism.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com